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

start0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

analyze29.0ms (0.4%)

Memory

-2.6MiB live, 36.4MiB allocated

Algorithm

1×

Search

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

Compiler

Compiled 13 to 11 computations (15.4% saved)

sample1.1s (16.5%)

Memory

10.4MiB live, 1 163.6MiB allocated

Samples

746.0ms	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 440.0ms

ival-div: 165.0ms (37.5% of total)

ival-mult: 110.0ms (25% of total)

ival-add: 101.0ms (22.9% of total)

ival-sub: 45.0ms (10.2% of total)

exact: 9.0ms (2% of total)

ival-true: 7.0ms (1.6% of total)

ival-assert: 3.0ms (0.7% of total)

adjust: 0.0ms (0% of total)

Bogosity

explain137.0ms (2%)

Memory

19.2MiB live, 135.8MiB allocated

FPErrors

Click to see full error table

Ground Truth	Example	Example	Subexpression
33	-	-	`(/.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

32.0ms

512×

valid

Compiler

Compiled 132 to 40 computations (69.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 17.0ms

ival-div: 7.0ms (41.5% of total)

ival-mult: 4.0ms (23.7% of total)

ival-sub: 2.0ms (11.9% of total)

ival-add: 2.0ms (11.9% of total)

exact: 1.0ms (5.9% of total)

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

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

preprocess71.0ms (1%)

Memory

-29.7MiB live, 29.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	63
1	57	61
2	121	57
3	253	55
4	547	55
5	915	55
6	1026	55
7	1050	55
8	1060	55
9	1064	55
0	9	11
0	14	11
1	22	11
2	33	11
3	48	11
4	90	11
5	163	11
6	274	11
7	373	11
8	600	11
9	696	11
10	817	11
11	853	11
12	1016	11
13	1025	11
0	1025	10

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

eval0.0ms (0%)

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

prune0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

simplify31.0ms (0.4%)

Memory

-9.0MiB live, 29.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	39
0	14	39
1	22	39
2	33	39
3	48	39
4	90	39
5	163	39
6	274	39
7	373	39
8	600	39
9	696	39
10	817	39
11	853	39
12	1016	39
13	1025	39
0	1025	36

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize23.0ms (0.3%)

Memory

5.2MiB live, 43.5MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0.0	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))
accuracy	7.801045749909536	(/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64))))

Samples

17.0ms

256×

valid

Compiler

Compiled 80 to 20 computations (75% saved)

Precisions

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

ival-div: 4.0ms (42.9% of total)

ival-mult: 2.0ms (21.4% of total)

ival-sub: 1.0ms (10.7% of total)

ival-add: 1.0ms (10.7% of total)

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

exact: 0.0ms (0% of total)

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

series9.0ms (0.1%)

Memory

16.0MiB live, 16.0MiB allocated

Counts

5 → 47

Calls

Call 1

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

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

Calls

6 calls:

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

simplify165.0ms (2.4%)

Memory

12.6MiB live, 204.1MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	702
1	738	677
2	1999	654
3	6194	648
0	8591	614

Stop Event

1×	iter limit
1×	node limit

Counts

47 → 45

Calls

Call 1

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

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

rewrite244.0ms (3.5%)

Memory

-24.5MiB live, 254.0MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	35
0	14	35
1	63	35
2	500	35
3	6902	35
0	8556	32

Stop Event

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

Counts

5 → 279

Calls

Call 1

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

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

eval43.0ms (0.6%)

Memory: 16.6MiB live, 53.5MiB allocated
Compiler: Compiled 8 357 to 1 088 computations (87% saved)

prune8.0ms (0.1%)

Memory

18.9MiB live, 18.9MiB allocated

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	297	8	305
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	298	8	306

Accuracy

100.0%

Counts

306 → 8

Alt Table

Click to see full alt table

Status	Accuracy	Program
	99.9%	(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
▶	55.1%	(-.f64 x (/.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
▶	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	59.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
▶	64.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
	62.2%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
	74.8%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
▶	27.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 322 to 200 computations (37.9% saved)

simplify439.0ms (6.3%)

Memory

-16.7MiB live, 133.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 17 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 x (/.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))))
cost-diff	128	(-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64))
cost-diff	128	(-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))
cost-diff	128	(.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))
cost-diff	0	(.f64 (.f64 y y) x)
cost-diff	0	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)
cost-diff	0	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y))
cost-diff	0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
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	(neg.f64 y)
cost-diff	0	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
cost-diff	0	(*.f64 y x)
cost-diff	0	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
cost-diff	0	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))
cost-diff	0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	395
0	69	395
1	137	395
2	355	395
3	1735	390
4	6559	390
0	8592	369

Stop Event

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

Calls

Call 1

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

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

localize249.0ms (3.6%)

Memory

-3.6MiB live, 163.0MiB allocated

Localize:

Found 17 expressions of interest:

New	Metric	Score
accuracy	0.2158775879159781	(pow.f64 (*.f64 y x) #s(literal 3 binary64))
accuracy	2.319830831579172	(/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy	21.93611020909967	(.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64)))
accuracy	26.189218472680956	(/.f64 (.f64 (/.f64 y (fma.f64 #s(literal 1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (pow.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) (-.f64 (.f64 (.f64 y x) (-.f64 (.f64 #s(literal 1/4 binary64) (.f64 y x)) #s(literal 1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64)))
accuracy	0.0	(*.f64 y y)
accuracy	0.00390625	(fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)
accuracy	8.408681269239274	(.f64 (.f64 y y) x)
accuracy	33.553431126064446	#s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y))
accuracy	0.0	(/.f64 #s(literal 2 binary64) x)
accuracy	0.0	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
accuracy	30.154215863891277	#s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))
accuracy	0.0	(neg.f64 y)
accuracy	46.13560848932954	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))
accuracy	0.0	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))
accuracy	7.801045749909536	(/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64)))

Samples

163.0ms

256×

valid

Compiler

Compiled 775 to 85 computations (89% saved)

Precisions

Click to see histograms. Total time spent on operations: 124.0ms

ival-mult: 71.0ms (57.4% of total)

ival-add: 28.0ms (22.6% of total)

ival-div: 9.0ms (7.3% of total)

ival-pow: 7.0ms (5.7% of total)

ival-sub: 6.0ms (4.9% of total)

exact: 1.0ms (0.8% of total)

ival-neg: 1.0ms (0.8% of total)

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

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

series50.0ms (0.7%)

Memory

6.0MiB live, 46.0MiB allocated

Counts

21 → 136

Calls

Call 1

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

Outputs
(* -1 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
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)
(* x (pow y 2))
(+ y (* (pow x 3) (- (* -1/8 (pow y 4)) (* 1/8 (pow y 4)))))
(+ y (* (pow x 3) (- (+ (* -1/8 (pow y 4)) (* x (* (pow y 4) (+ (* 1/16 y) (* 1/8 y))))) (* 1/8 (pow y 4)))))
(+ y (* (pow x 3) (- (+ (* -1/8 (pow y 4)) (* x (+ (* x (* (pow y 4) (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))))) (* (pow y 4) (+ (* 1/16 y) (* 1/8 y)))))) (* 1/8 (pow y 4)))))
-1/2
(- (* 1/4 (* x y)) 1/2)
-1
(- (* -1/2 (* x y)) 1)
(- (* x (+ (* -1/2 y) (* 1/4 (* x (pow y 2))))) 1)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y)))))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (+ (* x (- (+ (* -1/2 (* y (+ (* -1/4 (pow y 3)) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y)))))) (+ (* -1/2 (* (pow y 3) (+ (* -1/4 y) (* 1/4 y)))) (* y (+ (* -1/4 (pow y 3)) (* 1/8 (pow y 3)))))) (* -1/8 (pow y 4)))) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y))))))))) y)
(+ y (* x (- (* -1 (* x (+ (* -1/4 (pow y 3)) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y)))))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* x (- (* -1/8 (pow y 4)) (+ (* -1/2 (* y (+ (* -1/4 (pow y 3)) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y)))))) (+ (* -1/2 (* (pow y 3) (+ (* -1/4 y) (* 1/4 y)))) (* y (+ (* -1/4 (pow y 3)) (* 1/8 (pow y 3)))))))) (+ (* -1/4 (pow y 3)) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y)))))) (* 1/2 (pow y 2)))))
(+ y (* -1/8 (* (pow x 3) (pow y 4))))
(+ y (* (pow x 3) (- (* 1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(+ y (* (pow x 3) (- (* (pow x 3) (- (* -1/512 (* (pow x 3) (pow y 10))) (* -1/64 (pow y 7)))) (* 1/8 (pow y 4)))))
(* (pow x 3) (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))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* 1/8 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/8 (pow y 4)) (* 8 (/ (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))) x))))
(* (pow x 3) (+ (* 1/8 (pow y 4)) (+ (* 8 (/ (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))) x)) (* 8 (/ (* y (+ (* 1/16 y) (* 1/8 y))) (pow x 2))))))
(* (pow x 3) (- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (pow y 4)) (+ (* 8 (/ (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))) x)) (* 8 (/ (* y (+ (* 1/16 y) (* 1/8 y))) (pow x 2)))))) (/ y (pow x 3))))
(* 1/4 (* x y))
(* x (- (* 1/4 y) (* 1/2 (/ 1 x))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -1 (/ (+ (* 8 (/ 1 y)) (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3)))) (pow x 3)))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) (* (pow x 4) y))) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (* (pow x 4) (pow y 3)))))) (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (* (pow x 3) (pow y 3)))) (+ (* 128 (/ (+ (* 1/16 y) (* 1/8 y)) (* (pow x 4) (pow y 3)))) (+ (* 8 (/ 1 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))))))
(/ (+ 2 (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (* x (pow y 3)))) (/ 8 (* x y)))) x)
(/ (- (+ 2 (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (* x (pow y 3)))) (+ (* 128 (/ (+ (* 1/16 y) (* 1/8 y)) (* (pow x 2) (pow y 3)))) (/ 8 (* x y))))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) (* (pow x 2) y))) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (* (pow x 2) (pow y 3)))))) x)
(/ (- (+ 2 (+ (* -1 (/ (+ (* -4 (/ (- (* 128 (/ (+ (* 1/16 y) (* 1/8 y)) (pow y 3))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) y)) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (pow y 3))))) y)) (+ (* 16 (/ (* (+ (* -1/4 y) (* 1/4 y)) (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y)))) (pow y 3))) (* 48 (/ 1 (pow y 3))))) (pow x 3))) (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (* x (pow y 3)))) (+ (* 128 (/ (+ (* 1/16 y) (* 1/8 y)) (* (pow x 2) (pow y 3)))) (/ 8 (* x y)))))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) (* (pow x 2) y))) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (* (pow x 2) (pow y 3)))))) x)
(/ 8 (* (pow x 3) (pow y 2)))
(/ (- (* 8 (/ 1 (pow y 2))) (* 64 (/ 1 (* (pow x 3) (pow y 5))))) (pow x 3))
(/ (- (+ (* 8 (/ 1 (pow y 2))) (/ 512 (* (pow x 6) (pow y 8)))) (/ 64 (* (pow x 3) (pow y 5)))) (pow x 3))
(/ (- (+ (* 512 (/ 1 (* (pow x 6) (pow y 8)))) (* 8 (/ 1 (pow y 2)))) (+ (* 4096 (/ 1 (* (pow x 9) (pow y 11)))) (/ 64 (* (pow x 3) (pow y 5))))) (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 (/ (- (* 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 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* (pow x 3) (+ (* -8 (/ (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))) x)) (* -1/8 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -8 (/ (* y (+ (* -1/8 y) (* -1/16 y))) x)) (* 8 (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))))) x)) (* -1/8 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) y) x)) (* 8 (* y (+ (* -1/8 y) (* -1/16 y))))) x)) (* 8 (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))))) x)) (* -1/8 (pow y 4)))))
(* -1 (* x (+ (* -1/4 y) (* 1/2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* 1/4 (pow y 2))))
(* -1 (* x (- (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (* (pow x 3) (pow y 3)))) (+ (* 8 (/ 1 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) y)) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (pow y 3)))) (* 128 (/ (+ (* -1/8 y) (* -1/16 y)) (pow y 3)))) x)) (+ (* 8 (/ 1 y)) (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* -1 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 128 (/ (+ (* -1/8 y) (* -1/16 y)) (pow y 3))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) y)) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (pow y 3))))) x)) (+ (* 8 (/ 1 y)) (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (+ (* -16 (/ (* (+ (* -1/4 y) (* 1/4 y)) (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y)))) (* x (pow y 3)))) (+ (* 4 (/ (- (* 128 (/ (+ (* -1/8 y) (* -1/16 y)) (pow y 3))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) y)) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (pow y 3))))) (* x y))) (+ (* 128 (/ (+ (* -1/8 y) (* -1/16 y)) (pow y 3))) (/ 48 (* x (pow y 3)))))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) y)) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (pow y 3))))) x)) (+ (* 8 (/ 1 y)) (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))))) x)) 2) x))
(* -1 (/ (- (* 64 (/ 1 (* (pow x 3) (pow y 5)))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 (* (pow x 3) (pow y 8)))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 (* (pow x 3) (pow y 11)))) (* 512 (/ 1 (pow y 8)))) (pow x 3))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (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)))
(* 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 (* (pow y 3) (- (* -1/8 (pow x 3)) (* 1/8 (pow x 3))))))
(* y (+ 1 (* (pow y 3) (- (+ (* -1/8 (pow x 3)) (* (pow x 3) (* y (+ (* 1/16 x) (* 1/8 x))))) (* 1/8 (pow x 3))))))
(* y (+ 1 (* (pow y 3) (- (+ (* -1/8 (pow x 3)) (* y (+ (* (pow x 3) (* y (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))))) (* (pow x 3) (+ (* 1/16 x) (* 1/8 x)))))) (* 1/8 (pow x 3))))))
(- (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y)))) 1)
(+ x (* y (- (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (* x (+ (* -1/4 x) (* 1/4 x))))))) 1)))
(pow y 2)
(* y (+ 1 (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (* x (+ (* -1/4 x) (* 1/4 x)))))) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* y (- (* -1/8 (pow x 3)) (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* x (+ (* -1/4 x) (* 1/4 x)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/4 x) (* 1/4 x)))) (+ (* -1/4 (pow x 3)) (* 1/8 (pow x 3))))))) (+ (* -1/4 (pow x 2)) (* x (+ (* -1/4 x) (* 1/4 x)))))) (* 1/2 x)))))
(* y (+ 1 (* -1/8 (* (pow x 3) (pow y 3)))))
(* y (+ 1 (* (pow y 3) (- (* 1/64 (* (pow x 6) (pow y 3))) (* 1/8 (pow x 3))))))
(* y (+ 1 (* (pow y 3) (- (* (pow y 3) (- (* -1/512 (* (pow x 9) (pow y 3))) (* -1/64 (pow x 6)))) (* 1/8 (pow x 3))))))
(- 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)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* (pow y 4) (+ (* 1/8 (pow x 3)) (* 8 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) y))))
(* (pow y 4) (+ (* 1/8 (pow x 3)) (+ (* 8 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) y)) (* 8 (/ (+ (* 1/16 x) (* 1/8 x)) (pow y 2))))))
(* (pow y 4) (- (+ (* 1/8 (pow x 3)) (+ (* 8 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) y)) (* 8 (/ (+ (* 1/16 x) (* 1/8 x)) (pow y 2))))) (* 2 (/ 1 (pow y 3)))))
(* y (- (* 1/4 x) (* 1/2 (/ 1 y))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(* (pow y 2) (- (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))) (/ 1 (pow y 2))))
(- (+ x (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4)))) y))) (* 2 (/ 1 x)))
(- (+ x (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* x (pow y 2)))) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (* (pow x 4) (pow y 2)))))) (+ (* 2 (/ 1 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (* (pow x 4) y))) (+ (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (* (pow x 4) (pow y 2)))) (/ 8 (* (pow x 2) y))))))
(- (+ x (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* x (pow y 2)))) (+ (* -4 (/ (- (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (pow x 4))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))) (* x (pow y 3)))) (+ (* 16 (/ (* (+ (* -1/4 x) (* 1/4 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (* (pow x 3) (pow y 3)))) (+ (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (* (pow x 4) (pow y 2)))) (/ 48 (* (pow x 4) (pow y 3)))))))) (+ (* 2 (/ 1 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (* (pow x 4) y))) (+ (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (* (pow x 4) (pow y 2)))) (/ 8 (* (pow x 2) y))))))
(+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (* (pow x 4) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 2) y))))
(- (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (* (pow x 4) y))) (+ (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (* (pow x 4) (pow y 2)))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 2) y))))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* x (pow y 2)))) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (* (pow x 4) (pow y 2))))))
(- (+ (* -1 (/ (+ (* -4 (/ (- (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (pow x 4))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))) x)) (+ (* 16 (/ (* (+ (* -1/4 x) (* 1/4 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (pow x 3))) (* 48 (/ 1 (pow x 4))))) (pow y 3))) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (* (pow x 4) y))) (+ (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (* (pow x 4) (pow y 2)))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 2) y)))))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* x (pow y 2)))) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (* (pow x 4) (pow y 2))))))
(/ (- (* 8 (/ 1 (pow x 3))) (* 64 (/ 1 (* (pow x 6) (pow y 3))))) (pow y 2))
(/ (- (+ (* 8 (/ 1 (pow x 3))) (/ 512 (* (pow x 9) (pow y 6)))) (/ 64 (* (pow x 6) (pow y 3)))) (pow y 2))
(/ (- (+ (* 512 (/ 1 (* (pow x 9) (pow y 6)))) (* 8 (/ 1 (pow x 3)))) (+ (* 4096 (/ 1 (* (pow x 12) (pow y 9)))) (/ 64 (* (pow x 6) (pow y 3))))) (pow y 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)))
(+ (* -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))))
(* (pow y 4) (+ (* -1 (/ (+ (* -8 (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2)))) (* 8 (/ (+ (* -1/8 x) (* -1/16 x)) y))) y)) (* 1/8 (pow x 3))))
(* (pow y 4) (+ (* -1 (/ (+ (* -8 (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2)))) (* -1 (/ (- (* -8 (+ (* -1/8 x) (* -1/16 x))) (* 2 (/ 1 y))) y))) y)) (* 1/8 (pow x 3))))
(* -1 (* y (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 y)) y)) (* 1/4 (pow x 2))))
(- (+ x (* -1 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (pow x 4))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))) y)) (* -1 (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (* (+ (* -1/4 x) (* 1/4 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (* (pow x 3) y))) (+ (* 4 (/ (- (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (pow x 4))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))) (* x y))) (/ 48 (* (pow x 4) y)))) (* -1 (- (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (pow x 4))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))))) y)) (* -1 (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (+ (* -1 (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (* (pow x 4) y)))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* x y))) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (* (pow x 4) y))))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (* -1 (/ (+ (* -1 (- (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (pow x 4))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4)))))) (* -1 (/ (+ (* -16 (/ (* (+ (* -1/4 x) (* 1/4 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (pow x 3))) (+ (* 4 (/ (- (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (pow x 4))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))) x)) (* 48 (/ 1 (pow x 4))))) y))) y))) y)) (* 2 (/ 1 x)))
(/ (+ (* -1 (/ (- (* 64 (/ 1 (pow x 6))) (* 512 (/ 1 (* (pow x 9) (pow y 3))))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 512 (/ 1 (pow x 9))) (* 4096 (/ 1 (* (pow x 12) (pow y 3))))) (pow y 3))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	y	@	0	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (- (* 1/4 (* y x)) 1/2) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1) (- x (/ (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (+ (* (* (* y x) (- (* 1/4 (* y x)) 1/2)) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) 1))) (* y y) (/ (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (+ (* (* (* y x) (- (* 1/4 (* y x)) 1/2)) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) 1)) (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (pow (* y x) 3))
9.0ms	x	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (- (* 1/4 (* y x)) 1/2) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1) (- x (/ (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (+ (* (* (* y x) (- (* 1/4 (* y x)) 1/2)) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) 1))) (* y y) (/ (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (+ (* (* (* y x) (- (* 1/4 (* y x)) 1/2)) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) 1)) (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (pow (* y x) 3))
7.0ms	y	@	inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (- (* 1/4 (* y x)) 1/2) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1) (- x (/ (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (+ (* (* (* y x) (- (* 1/4 (* y x)) 1/2)) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) 1))) (* y y) (/ (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (+ (* (* (* y x) (- (* 1/4 (* y x)) 1/2)) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) 1)) (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (pow (* y x) 3))
7.0ms	y	@	-inf	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (- (* 1/4 (* y x)) 1/2) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1) (- x (/ (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (+ (* (* (* y x) (- (* 1/4 (* y x)) 1/2)) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) 1))) (* y y) (/ (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (+ (* (* (* y x) (- (* 1/4 (* y x)) 1/2)) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) 1)) (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (pow (* y x) 3))
6.0ms	x	@	0	((- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* y x) (- x (/ y (+ 1 (/ (* x y) 2)))) (neg y) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (/ 2 x) (- x (/ y (+ 1 (/ (* x y) 2)))) (/ y (+ 1 (/ (* x y) 2))) (+ (* (* (* y y) x) -1/2) y) (* (* y y) x) (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (- (* 1/4 (* y x)) 1/2) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1) (- x (/ (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (+ (* (* (* y x) (- (* 1/4 (* y x)) 1/2)) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) 1))) (* y y) (/ (* (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (+ (pow (* (* y x) (- (* 1/4 (* y x)) 1/2)) 3) 1)) (+ (* (* (* y x) (- (* 1/4 (* y x)) 1/2)) (- (* (* y x) (- (* 1/4 (* y x)) 1/2)) 1)) 1)) (/ y (+ (* 1/8 (pow (* y x) 3)) 1)) (pow (* y x) 3))

simplify351.0ms (5.1%)

Memory

24.3MiB live, 176.8MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	881	4004
1	2930	3756
0	8690	3548

Stop Event

1×	iter limit
1×	node limit

Counts

136 → 134

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)
(* x (pow y 2))
(+ y (* (pow x 3) (- (* -1/8 (pow y 4)) (* 1/8 (pow y 4)))))
(+ y (* (pow x 3) (- (+ (* -1/8 (pow y 4)) (* x (* (pow y 4) (+ (* 1/16 y) (* 1/8 y))))) (* 1/8 (pow y 4)))))
(+ y (* (pow x 3) (- (+ (* -1/8 (pow y 4)) (* x (+ (* x (* (pow y 4) (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))))) (* (pow y 4) (+ (* 1/16 y) (* 1/8 y)))))) (* 1/8 (pow y 4)))))
-1/2
(- (* 1/4 (* x y)) 1/2)
-1
(- (* -1/2 (* x y)) 1)
(- (* x (+ (* -1/2 y) (* 1/4 (* x (pow y 2))))) 1)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y)))))))) y)
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (+ (* x (- (+ (* -1/2 (* y (+ (* -1/4 (pow y 3)) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y)))))) (+ (* -1/2 (* (pow y 3) (+ (* -1/4 y) (* 1/4 y)))) (* y (+ (* -1/4 (pow y 3)) (* 1/8 (pow y 3)))))) (* -1/8 (pow y 4)))) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y))))))))) y)
(+ y (* x (- (* -1 (* x (+ (* -1/4 (pow y 3)) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y)))))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* x (- (* -1/8 (pow y 4)) (+ (* -1/2 (* y (+ (* -1/4 (pow y 3)) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y)))))) (+ (* -1/2 (* (pow y 3) (+ (* -1/4 y) (* 1/4 y)))) (* y (+ (* -1/4 (pow y 3)) (* 1/8 (pow y 3)))))))) (+ (* -1/4 (pow y 3)) (* (pow y 2) (+ (* -1/4 y) (* 1/4 y)))))) (* 1/2 (pow y 2)))))
(+ y (* -1/8 (* (pow x 3) (pow y 4))))
(+ y (* (pow x 3) (- (* 1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(+ y (* (pow x 3) (- (* (pow x 3) (- (* -1/512 (* (pow x 3) (pow y 10))) (* -1/64 (pow y 7)))) (* 1/8 (pow y 4)))))
(* (pow x 3) (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))))))
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(* 1/2 (* x y))
(* x (+ (* 1/2 y) (/ 1 x)))
(* -1/2 (* x (pow y 2)))
(* x (+ (* -1/2 (pow y 2)) (/ y x)))
(* 1/8 (* (pow x 3) (pow y 4)))
(* (pow x 3) (+ (* 1/8 (pow y 4)) (* 8 (/ (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))) x))))
(* (pow x 3) (+ (* 1/8 (pow y 4)) (+ (* 8 (/ (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))) x)) (* 8 (/ (* y (+ (* 1/16 y) (* 1/8 y))) (pow x 2))))))
(* (pow x 3) (- (+ (* -1 (/ y (pow x 3))) (+ (* 1/8 (pow y 4)) (+ (* 8 (/ (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))) x)) (* 8 (/ (* y (+ (* 1/16 y) (* 1/8 y))) (pow x 2)))))) (/ y (pow x 3))))
(* 1/4 (* x y))
(* x (- (* 1/4 y) (* 1/2 (/ 1 x))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))
(* (pow x 2) (- (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))) (/ 1 (pow x 2))))
(* x (- (+ 1 (* -1 (/ (+ (* 8 (/ 1 y)) (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3)))) (pow x 3)))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) (* (pow x 4) y))) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (* (pow x 4) (pow y 3)))))) (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (* (pow x 3) (pow y 3)))) (+ (* 128 (/ (+ (* 1/16 y) (* 1/8 y)) (* (pow x 4) (pow y 3)))) (+ (* 8 (/ 1 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))))))
(/ (+ 2 (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (* x (pow y 3)))) (/ 8 (* x y)))) x)
(/ (- (+ 2 (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (* x (pow y 3)))) (+ (* 128 (/ (+ (* 1/16 y) (* 1/8 y)) (* (pow x 2) (pow y 3)))) (/ 8 (* x y))))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) (* (pow x 2) y))) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (* (pow x 2) (pow y 3)))))) x)
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(/ 8 (* (pow x 3) (pow y 2)))
(/ (- (* 8 (/ 1 (pow y 2))) (* 64 (/ 1 (* (pow x 3) (pow y 5))))) (pow x 3))
(/ (- (+ (* 8 (/ 1 (pow y 2))) (/ 512 (* (pow x 6) (pow y 8)))) (/ 64 (* (pow x 3) (pow y 5)))) (pow x 3))
(/ (- (+ (* 512 (/ 1 (* (pow x 6) (pow y 8)))) (* 8 (/ 1 (pow y 2)))) (+ (* 4096 (/ 1 (* (pow x 9) (pow y 11)))) (/ 64 (* (pow x 3) (pow y 5))))) (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 (/ (- (* 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 (+ (* -1 (/ y x)) (* 1/2 (pow y 2)))))
(* -1 (* (pow x 3) (+ (* -8 (/ (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))) x)) (* -1/8 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -8 (/ (* y (+ (* -1/8 y) (* -1/16 y))) x)) (* 8 (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))))) x)) (* -1/8 (pow y 4)))))
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* -1 y) y) x)) (* 8 (* y (+ (* -1/8 y) (* -1/16 y))))) x)) (* 8 (* y (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2)))))) x)) (* -1/8 (pow y 4)))))
(* -1 (* x (+ (* -1/4 y) (* 1/2 (/ 1 x)))))
(* (pow x 2) (+ (* -1 (/ (+ (* 1/2 y) (/ 1 x)) x)) (* 1/4 (pow y 2))))
(* -1 (* x (- (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (* (pow x 3) (pow y 3)))) (+ (* 8 (/ 1 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2))))) 1)))
(* -1 (* x (- (+ (* -1 (/ (- (* -1 (/ (- (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) y)) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (pow y 3)))) (* 128 (/ (+ (* -1/8 y) (* -1/16 y)) (pow y 3)))) x)) (+ (* 8 (/ 1 y)) (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(* -1 (/ (- (* -1 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (* 128 (/ (+ (* -1/8 y) (* -1/16 y)) (pow y 3))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) y)) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (pow y 3))))) x)) (+ (* 8 (/ 1 y)) (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (+ (* -1 (/ (- (+ (* -16 (/ (* (+ (* -1/4 y) (* 1/4 y)) (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y)))) (* x (pow y 3)))) (+ (* 4 (/ (- (* 128 (/ (+ (* -1/8 y) (* -1/16 y)) (pow y 3))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) y)) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (pow y 3))))) (* x y))) (+ (* 128 (/ (+ (* -1/8 y) (* -1/16 y)) (pow y 3))) (/ 48 (* x (pow y 3)))))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))) (* 8 (/ 1 y))) y)) (* 32 (/ (+ (* -1/4 y) (* 1/4 y)) (pow y 3))))) x)) (+ (* 8 (/ 1 y)) (* 128 (/ (+ (* -1/16 (pow y 2)) (* -1/32 (pow y 2))) (pow y 3))))) x)) 2) x))
(* -1 (/ (- (* 64 (/ 1 (* (pow x 3) (pow y 5)))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 (* (pow x 3) (pow y 8)))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 (* (pow x 3) (pow y 11)))) (* 512 (/ 1 (pow y 8)))) (pow x 3))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (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)))
(* 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 (* (pow y 3) (- (* -1/8 (pow x 3)) (* 1/8 (pow x 3))))))
(* y (+ 1 (* (pow y 3) (- (+ (* -1/8 (pow x 3)) (* (pow x 3) (* y (+ (* 1/16 x) (* 1/8 x))))) (* 1/8 (pow x 3))))))
(* y (+ 1 (* (pow y 3) (- (+ (* -1/8 (pow x 3)) (* y (+ (* (pow x 3) (* y (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))))) (* (pow x 3) (+ (* 1/16 x) (* 1/8 x)))))) (* 1/8 (pow x 3))))))
(- (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y)))) 1)
(+ x (* y (- (* y (+ (* 1/2 x) (* y (+ (* -1/4 (pow x 2)) (* x (+ (* -1/4 x) (* 1/4 x))))))) 1)))
(pow y 2)
(* y (+ 1 (* y (- (* -1 (* y (+ (* -1/4 (pow x 2)) (* x (+ (* -1/4 x) (* 1/4 x)))))) (* 1/2 x)))))
(* y (+ 1 (* y (- (* y (- (* y (- (* -1/8 (pow x 3)) (+ (* -1/2 (* x (+ (* -1/4 (pow x 2)) (* x (+ (* -1/4 x) (* 1/4 x)))))) (+ (* -1/2 (* (pow x 2) (+ (* -1/4 x) (* 1/4 x)))) (+ (* -1/4 (pow x 3)) (* 1/8 (pow x 3))))))) (+ (* -1/4 (pow x 2)) (* x (+ (* -1/4 x) (* 1/4 x)))))) (* 1/2 x)))))
(* y (+ 1 (* -1/8 (* (pow x 3) (pow y 3)))))
(* y (+ 1 (* (pow y 3) (- (* 1/64 (* (pow x 6) (pow y 3))) (* 1/8 (pow x 3))))))
(* y (+ 1 (* (pow y 3) (- (* (pow y 3) (- (* -1/512 (* (pow x 9) (pow y 3))) (* -1/64 (pow x 6)))) (* 1/8 (pow x 3))))))
(- 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)))
(* (pow y 2) (+ (* -1/2 x) (/ 1 y)))
(* (pow y 4) (+ (* 1/8 (pow x 3)) (* 8 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) y))))
(* (pow y 4) (+ (* 1/8 (pow x 3)) (+ (* 8 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) y)) (* 8 (/ (+ (* 1/16 x) (* 1/8 x)) (pow y 2))))))
(* (pow y 4) (- (+ (* 1/8 (pow x 3)) (+ (* 8 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) y)) (* 8 (/ (+ (* 1/16 x) (* 1/8 x)) (pow y 2))))) (* 2 (/ 1 (pow y 3)))))
(* y (- (* 1/4 x) (* 1/2 (/ 1 y))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(* (pow y 2) (- (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))) (/ 1 (pow y 2))))
(- (+ x (* -1 (/ (+ (* 8 (/ 1 (pow x 2))) (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4)))) y))) (* 2 (/ 1 x)))
(- (+ x (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* x (pow y 2)))) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (* (pow x 4) (pow y 2)))))) (+ (* 2 (/ 1 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (* (pow x 4) y))) (+ (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (* (pow x 4) (pow y 2)))) (/ 8 (* (pow x 2) y))))))
(- (+ x (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* x (pow y 2)))) (+ (* -4 (/ (- (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (pow x 4))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))) (* x (pow y 3)))) (+ (* 16 (/ (* (+ (* -1/4 x) (* 1/4 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (* (pow x 3) (pow y 3)))) (+ (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (* (pow x 4) (pow y 2)))) (/ 48 (* (pow x 4) (pow y 3)))))))) (+ (* 2 (/ 1 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (* (pow x 4) y))) (+ (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (* (pow x 4) (pow y 2)))) (/ 8 (* (pow x 2) y))))))
(+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (* (pow x 4) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 2) y))))
(- (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (* (pow x 4) y))) (+ (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (* (pow x 4) (pow y 2)))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 2) y))))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* x (pow y 2)))) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (* (pow x 4) (pow y 2))))))
(- (+ (* -1 (/ (+ (* -4 (/ (- (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (pow x 4))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))) x)) (+ (* 16 (/ (* (+ (* -1/4 x) (* 1/4 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (pow x 3))) (* 48 (/ 1 (pow x 4))))) (pow y 3))) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (* (pow x 4) y))) (+ (* 128 (/ (+ (* 1/16 x) (* 1/8 x)) (* (pow x 4) (pow y 2)))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 2) y)))))) (+ (* -4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* x (pow y 2)))) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (* (pow x 4) (pow y 2))))))
(/ (- (* 8 (/ 1 (pow x 3))) (* 64 (/ 1 (* (pow x 6) (pow y 3))))) (pow y 2))
(/ (- (+ (* 8 (/ 1 (pow x 3))) (/ 512 (* (pow x 9) (pow y 6)))) (/ 64 (* (pow x 6) (pow y 3)))) (pow y 2))
(/ (- (+ (* 512 (/ 1 (* (pow x 9) (pow y 6)))) (* 8 (/ 1 (pow x 3)))) (+ (* 4096 (/ 1 (* (pow x 12) (pow y 9)))) (/ 64 (* (pow x 6) (pow y 3))))) (pow y 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)))
(+ (* -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))))
(* (pow y 4) (+ (* -1 (/ (+ (* -8 (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2)))) (* 8 (/ (+ (* -1/8 x) (* -1/16 x)) y))) y)) (* 1/8 (pow x 3))))
(* (pow y 4) (+ (* -1 (/ (+ (* -8 (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2)))) (* -1 (/ (- (* -8 (+ (* -1/8 x) (* -1/16 x))) (* 2 (/ 1 y))) y))) y)) (* 1/8 (pow x 3))))
(* -1 (* y (+ (* -1/4 x) (* 1/2 (/ 1 y)))))
(* (pow y 2) (+ (* -1 (/ (+ (* 1/2 x) (/ 1 y)) y)) (* 1/4 (pow x 2))))
(- (+ x (* -1 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (pow x 4))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))) y)) (* -1 (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) y))) (* 2 (/ 1 x)))
(- (+ x (* -1 (/ (- (* -1 (/ (- (+ (* -16 (/ (* (+ (* -1/4 x) (* 1/4 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (* (pow x 3) y))) (+ (* 4 (/ (- (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (pow x 4))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))) (* x y))) (/ 48 (* (pow x 4) y)))) (* -1 (- (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (pow x 4))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))))) y)) (* -1 (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))))) y))) (* 2 (/ 1 x)))
(+ (* -1 (/ (- (+ (* -1 (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (* (pow x 4) y)))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) (* x y))) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (* (pow x 4) y))))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (* -1 (/ (+ (* -1 (- (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (pow x 4))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4)))))) (* -1 (/ (+ (* -16 (/ (* (+ (* -1/4 x) (* 1/4 x)) (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2))))) (pow x 3))) (+ (* 4 (/ (- (* 128 (/ (+ (* -1/8 x) (* -1/16 x)) (pow x 4))) (+ (* 4 (/ (+ (* 128 (/ (+ (* -1/16 (pow x 2)) (* -1/32 (pow x 2))) (pow x 4))) (* 8 (/ 1 (pow x 2)))) x)) (* 32 (/ (+ (* -1/4 x) (* 1/4 x)) (pow x 4))))) x)) (* 48 (/ 1 (pow x 4))))) y))) y))) y)) (* 2 (/ 1 x)))
(/ (+ (* -1 (/ (- (* 64 (/ 1 (pow x 6))) (* 512 (/ 1 (* (pow x 9) (pow y 3))))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 512 (/ 1 (pow x 9))) (* 4096 (/ 1 (* (pow x 12) (pow y 3))))) (pow y 3))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))

Outputs
(* -1 y)
(neg.f64 y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(-.f64 (.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x) y)
(- (* x (+ 1 (+ (* -1/4 (* x (pow y 3))) (* 1/2 (pow y 2))))) y)
(fma.f64 (fma.f64 (.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))
(- (* x (+ 1 (+ (* 1/2 (pow y 2)) (* x (+ (* -1/4 (pow y 3)) (* 1/8 (* x (pow y 4)))))))) y)
(-.f64 (.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) y) x #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) x (.f64 (*.f64 #s(literal -1/2 binary64) y) y)) x y)
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/8 binary64) x) (pow.f64 y #s(literal 4 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64)))) x (.f64 (.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) x) y #s(literal 1 binary64))
(* x y)
(*.f64 y x)
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(* x (pow y 2))
(.f64 (.f64 y y) x)
(+ y (* (pow x 3) (- (* -1/8 (pow y 4)) (* 1/8 (pow y 4)))))
(fma.f64 (*.f64 (pow.f64 y #s(literal 4 binary64)) #s(literal -1/4 binary64)) (pow.f64 x #s(literal 3 binary64)) y)
(+ y (* (pow x 3) (- (+ (* -1/8 (pow y 4)) (* x (* (pow y 4) (+ (* 1/16 y) (* 1/8 y))))) (* 1/8 (pow y 4)))))
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rewrite334.0ms (4.8%)

Memory

5.8MiB live, 198.3MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	41	297
0	69	292
1	332	292
2	2504	292
0	8369	280

Stop Event

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

Counts

21 → 505

Calls

Call 1

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

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

eval181.0ms (2.6%)

Memory: 7.1MiB live, 165.7MiB allocated
Compiler: Compiled 43 058 to 3 511 computations (91.8% saved)

prune205.0ms (3%)

Memory

-26.7MiB live, 48.2MiB allocated

Pruning

9 alts after pruning (5 fresh and 4 done)

	Pruned	Kept	Total
New	729	4	733
Fresh	2	1	3
Picked	1	4	5
Done	0	0	0
Total	732	9	741

Accuracy

100.0%

Counts

741 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
▶	64.2%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
▶	70.7%	(-.f64 x (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
✓	59.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
✓	64.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
▶	62.2%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
▶	74.8%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
✓	27.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 241 to 175 computations (27.4% saved)

simplify175.0ms (2.5%)

Memory

21.1MiB live, 142.0MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
cost-diff	128	(-.f64 x (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
cost-diff	6464	(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
cost-diff	0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
cost-diff	0	#s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
cost-diff	0	(/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
cost-diff	0	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
cost-diff	0	(*.f64 #s(literal 1/2 binary64) y)
cost-diff	0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
cost-diff	0	(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
cost-diff	0	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
cost-diff	0	(-.f64 x y)
cost-diff	0	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
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	(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))
cost-diff	5952	(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	268
0	62	268
1	119	268
2	302	262
3	1001	262
4	2747	262
5	6069	262
0	8092	251

Stop Event

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

Calls

Call 1

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

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

localize346.0ms (5%)

Memory

-8.0MiB live, 151.6MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0.24609375	(pow.f64 (*.f64 y x) #s(literal 2 binary64))
accuracy	2.319830831579172	(/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
accuracy	3.1992187500000004	(fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
accuracy	22.177470888702477	(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
accuracy	0.0	(*.f64 y x)
accuracy	0.0	(.f64 #s(literal 1/2 binary64) (.f64 y x))
accuracy	7.801045749909536	(/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x))))
accuracy	30.039637050815696	#s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
accuracy	0.0	(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
accuracy	0.0	(*.f64 #s(literal 1/2 binary64) y)
accuracy	0.046875	(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
accuracy	24.182527788214035	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
accuracy	0.0	(-.f64 x y)
accuracy	16.130016661483513	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
accuracy	0.0	(*.f64 y x)
accuracy	0.00390625	(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
accuracy	0.03515625	(fma.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) y x)
accuracy	0.5162843989224044	(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))

Samples

194.0ms

256×

valid

Compiler

Compiled 520 to 78 computations (85% saved)

Precisions

Click to see histograms. Total time spent on operations: 174.0ms

ival-pow: 103.0ms (59.4% of total)

ival-sub: 40.0ms (23% of total)

ival-mult: 16.0ms (9.2% of total)

ival-add: 8.0ms (4.6% of total)

ival-div: 3.0ms (1.7% of total)

ival-pow2: 2.0ms (1.2% of total)

exact: 1.0ms (0.6% of total)

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

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

series28.0ms (0.4%)

Memory

11.8MiB live, 47.5MiB allocated

Counts

20 → 135

Calls

Call 1

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

Outputs
(* -1 y)
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(- (* -1/2 (* x y)) 1)
(* x 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)
(- x y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(+ 1 (* -1/2 (* x y)))
(+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 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)))) y)
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (+ (* -1/8 (* x (pow y 4))) (* 1/4 (pow y 3)))))))
(+ y (* -1/8 (* (pow x 3) (pow y 4))))
(+ y (* (pow x 3) (- (* 1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(+ y (* (pow x 3) (- (* (pow x 3) (- (* -1/512 (* (pow x 3) (pow y 10))) (* -1/64 (pow y 7)))) (* 1/8 (pow y 4)))))
(* (pow x 2) (pow y 2))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* -1/2 (* x y))
(* x (- (* -1/2 y) (/ 1 x)))
(* 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)))
(/ 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)
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))
(* (pow x 2) (- (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2))) (* 1/2 (/ y x))))
(* x (- (/ 1 x) (* 1/2 y)))
(/ 8 (* (pow x 3) (pow y 2)))
(/ (- (* 8 (/ 1 (pow y 2))) (* 64 (/ 1 (* (pow x 3) (pow y 5))))) (pow x 3))
(/ (- (+ (* 8 (/ 1 (pow y 2))) (/ 512 (* (pow x 6) (pow y 8)))) (/ 64 (* (pow x 3) (pow y 5)))) (pow x 3))
(/ (- (+ (* 512 (/ 1 (* (pow x 6) (pow y 8)))) (* 8 (/ 1 (pow y 2)))) (+ (* 4096 (/ 1 (* (pow x 9) (pow y 11)))) (/ 64 (* (pow x 3) (pow y 5))))) (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 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(* -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))))
(* -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))))
(* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2)))))
(* x (+ (* -1/2 y) (/ 1 x)))
(* -1 (/ (- (* 64 (/ 1 (* (pow x 3) (pow y 5)))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 (* (pow x 3) (pow y 8)))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 (* (pow x 3) (pow y 11)))) (* 512 (/ 1 (pow y 8)))) (pow x 3))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (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)))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* 1/2 y)
(* 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 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (+ (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2))))))))
(* y (+ 1 (* -1/8 (* (pow x 3) (pow y 3)))))
(* y (+ 1 (* (pow y 3) (- (* 1/64 (* (pow x 6) (pow y 3))) (* 1/8 (pow x 3))))))
(* y (+ 1 (* (pow y 3) (- (* (pow y 3) (- (* -1/512 (* (pow x 9) (pow y 3))) (* -1/64 (pow x 6)))) (* 1/8 (pow x 3))))))
(- 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))))))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (- (* -1/2 x) (/ 1 y)))
(* 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)))
(- (* 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)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(* (pow y 2) (- (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2))) (* 1/2 (/ x y))))
(* y (- (/ 1 y) (* 1/2 x)))
(/ (- (* 8 (/ 1 (pow x 3))) (* 64 (/ 1 (* (pow x 6) (pow y 3))))) (pow y 2))
(/ (- (+ (* 8 (/ 1 (pow x 3))) (/ 512 (* (pow x 9) (pow y 6)))) (/ 64 (* (pow x 6) (pow y 3)))) (pow y 2))
(/ (- (+ (* 512 (/ 1 (* (pow x 9) (pow y 6)))) (* 8 (/ 1 (pow x 3)))) (+ (* 4096 (/ 1 (* (pow x 12) (pow y 9)))) (/ 64 (* (pow x 6) (pow y 3))))) (pow y 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)))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(* -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))))
(+ (* -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))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))
(* y (+ (* -1/2 x) (/ 1 y)))
(/ (+ (* -1 (/ (- (* 64 (/ 1 (pow x 6))) (* 512 (/ 1 (* (pow x 9) (pow y 3))))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 512 (/ 1 (pow x 9))) (* 4096 (/ 1 (* (pow x 12) (pow y 3))))) (pow y 3))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))

Calls

6 calls:

Time	Variable		Point	Expression
10.0ms	x	@	inf	((+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* -1/2 (* y x)) -1) (* y x) (- x (/ y (+ (* (* y x) 1/2) 1))) (- x y) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* 1/2 (* y x)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x)))) (- x (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x)))))) (- 1 (* 1/2 (* y x))) (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x))))) (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (pow (* y x) 2))
4.0ms	x	@	0	((+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* -1/2 (* y x)) -1) (* y x) (- x (/ y (+ (* (* y x) 1/2) 1))) (- x y) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* 1/2 (* y x)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x)))) (- x (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x)))))) (- 1 (* 1/2 (* y x))) (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x))))) (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (pow (* y x) 2))
3.0ms	y	@	inf	((+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* -1/2 (* y x)) -1) (* y x) (- x (/ y (+ (* (* y x) 1/2) 1))) (- x y) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* 1/2 (* y x)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x)))) (- x (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x)))))) (- 1 (* 1/2 (* y x))) (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x))))) (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (pow (* y x) 2))
3.0ms	y	@	-inf	((+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* -1/2 (* y x)) -1) (* y x) (- x (/ y (+ (* (* y x) 1/2) 1))) (- x y) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* 1/2 (* y x)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x)))) (- x (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x)))))) (- 1 (* 1/2 (* y x))) (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x))))) (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (pow (* y x) 2))
3.0ms	x	@	-inf	((+ (* (pow (+ (* -1/2 (* y x)) -1) -1) y) x) (pow (+ (* -1/2 (* y x)) -1) -1) (+ (* -1/2 (* y x)) -1) (* y x) (- x (/ y (+ (* (* y x) 1/2) 1))) (- x y) (- x (/ y (+ (* (* y x) 1/2) 1))) (+ (* (+ (* (* 1/2 y) x) -1) y) x) (+ (* (* 1/2 y) x) -1) (* 1/2 y) (- x (/ y (+ (* (* y x) 1/2) 1))) (/ y (+ (* (* y x) 1/2) 1)) (+ (* (* y x) 1/2) 1) (* 1/2 (* y x)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x)))) (- x (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x)))))) (- 1 (* 1/2 (* y x))) (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (pow (* y x) 2) 1/4) (- 1 (* 1/2 (* y x))))) (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (pow (* y x) 2))

simplify227.0ms (3.3%)

Memory

-14.1MiB live, 233.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	570	2187
1	1756	2136
2	5173	2092
0	8386	1973

Stop Event

1×	iter limit
1×	node limit

Counts

135 → 133

Calls

Call 1

Inputs
(* -1 y)
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(- (* -1/2 (* x y)) 1)
(* x 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)
(- x y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(+ y (* x (- (* x (- (* -1/8 (* x (pow y 4))) (* -1/4 (pow y 3)))) (* 1/2 (pow y 2)))))
1
(+ 1 (* 1/2 (* x y)))
(* 1/2 (* x y))
(+ 1 (* -1/2 (* x y)))
(+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 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)))) y)
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (+ (* -1/8 (* x (pow y 4))) (* 1/4 (pow y 3)))))))
(+ y (* -1/8 (* (pow x 3) (pow y 4))))
(+ y (* (pow x 3) (- (* 1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(+ y (* (pow x 3) (- (* (pow x 3) (- (* -1/512 (* (pow x 3) (pow y 10))) (* -1/64 (pow y 7)))) (* 1/8 (pow y 4)))))
(* (pow x 2) (pow y 2))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* -1/2 (* x y))
(* x (- (* -1/2 y) (/ 1 x)))
(* 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)))
(/ 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)
(* x (+ (* 1/2 y) (/ 1 x)))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))
(* (pow x 2) (- (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2))) (* 1/2 (/ y x))))
(* x (- (/ 1 x) (* 1/2 y)))
(/ 8 (* (pow x 3) (pow y 2)))
(/ (- (* 8 (/ 1 (pow y 2))) (* 64 (/ 1 (* (pow x 3) (pow y 5))))) (pow x 3))
(/ (- (+ (* 8 (/ 1 (pow y 2))) (/ 512 (* (pow x 6) (pow y 8)))) (/ 64 (* (pow x 3) (pow y 5)))) (pow x 3))
(/ (- (+ (* 512 (/ 1 (* (pow x 6) (pow y 8)))) (* 8 (/ 1 (pow y 2)))) (+ (* 4096 (/ 1 (* (pow x 9) (pow y 11)))) (/ 64 (* (pow x 3) (pow y 5))))) (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 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(* -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))))
(* -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))))
(* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2)))))
(* x (+ (* -1/2 y) (/ 1 x)))
(* -1 (/ (- (* 64 (/ 1 (* (pow x 3) (pow y 5)))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 (* (pow x 3) (pow y 8)))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 (* (pow x 3) (pow y 11)))) (* 512 (/ 1 (pow y 8)))) (pow x 3))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (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)))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(* 1/2 y)
(* 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 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (+ (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2))))))))
(* y (+ 1 (* -1/8 (* (pow x 3) (pow y 3)))))
(* y (+ 1 (* (pow y 3) (- (* 1/64 (* (pow x 6) (pow y 3))) (* 1/8 (pow x 3))))))
(* y (+ 1 (* (pow y 3) (- (* (pow y 3) (- (* -1/512 (* (pow x 9) (pow y 3))) (* -1/64 (pow x 6)))) (* 1/8 (pow x 3))))))
(- 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))))))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (- (* -1/2 x) (/ 1 y)))
(* 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)))
(- (* 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)))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(* (pow y 2) (- (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2))) (* 1/2 (/ x y))))
(* y (- (/ 1 y) (* 1/2 x)))
(/ (- (* 8 (/ 1 (pow x 3))) (* 64 (/ 1 (* (pow x 6) (pow y 3))))) (pow y 2))
(/ (- (+ (* 8 (/ 1 (pow x 3))) (/ 512 (* (pow x 9) (pow y 6)))) (/ 64 (* (pow x 6) (pow y 3)))) (pow y 2))
(/ (- (+ (* 512 (/ 1 (* (pow x 9) (pow y 6)))) (* 8 (/ 1 (pow x 3)))) (+ (* 4096 (/ 1 (* (pow x 12) (pow y 9)))) (/ 64 (* (pow x 6) (pow y 3))))) (pow y 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)))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(* -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))))
(+ (* -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))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))
(* y (+ (* -1/2 x) (/ 1 y)))
(/ (+ (* -1 (/ (- (* 64 (/ 1 (pow x 6))) (* 512 (/ 1 (* (pow x 9) (pow y 3))))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 512 (/ 1 (pow x 9))) (* 4096 (/ 1 (* (pow x 12) (pow y 3))))) (pow y 3))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))

Outputs
(* -1 y)
(neg.f64 y)
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(fma.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 (neg.f64 y))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64))) x (fma.f64 (*.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64))) x (neg.f64 y))
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64))
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (.f64 (*.f64 x y) y) #s(literal -1/4 binary64))) x #s(literal -1 binary64))
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(fma.f64 (fma.f64 #s(literal 1/2 binary64) y (.f64 (fma.f64 #s(literal -1/4 binary64) (.f64 y y) (.f64 #s(literal 1/8 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) x #s(literal -1 binary64))
(- (* -1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64))
(* x y)
(*.f64 x y)
(- (* x (+ 1 (* 1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #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 (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 (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))
(- x y)
(-.f64 x y)
(+ (* -1 y) (* x (+ 1 (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(+ y (* x (- (* 1/4 (* x (pow y 3))) (* 1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) x (.f64 (*.f64 y y) #s(literal -1/2 binary64))) x y)
(+ 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 y y) #s(literal -1/2 binary64))) x y)
1
#s(literal 1 binary64)
(+ 1 (* 1/2 (* x y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* 1/2 (* x y))
(.f64 (.f64 x y) #s(literal 1/2 binary64))
(+ 1 (* -1/2 (* x y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
(+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 y))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64))
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #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 (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 (neg.f64 y))
(- (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))) 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 (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 y #s(literal 3 binary64))) x (.f64 (*.f64 y y) #s(literal -1/2 binary64))) x y)
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (+ (* -1/8 (* x (pow y 4))) (* 1/4 (pow y 3)))))))
(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 y y) #s(literal -1/2 binary64))) x y)
(+ y (* -1/8 (* (pow x 3) (pow y 4))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)) y)
(+ y (* (pow x 3) (- (* 1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 7 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)) y)
(+ y (* (pow x 3) (- (* (pow x 3) (- (* -1/512 (* (pow x 3) (pow y 10))) (* -1/64 (pow y 7)))) (* 1/8 (pow y 4)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/64 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)) y)
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 x y) 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 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 2 binary64) (.f64 x x))) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 y y))) x x)
(/ -2 (* x y))
(/.f64 (/.f64 #s(literal -2 binary64) y) x)
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) y)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 2 binary64) y)) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) x)
(* -1/2 (* x y))
(.f64 (.f64 #s(literal -1/2 binary64) y) x)
(* x (- (* -1/2 y) (/ 1 x)))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #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 (.f64 #s(literal 1/2 binary64) y) y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
(* x (- (* 1/2 y) (/ 1 x)))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) 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)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) x)
(* x (+ (* 1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* 1/4 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y) y)
(* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))
(.f64 (.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 y y))) x) x)
(* (pow x 2) (- (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2))) (* 1/2 (/ y x))))
(fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(* x (- (/ 1 x) (* 1/2 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
(/ 8 (* (pow x 3) (pow y 2)))
(/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y))
(/ (- (* 8 (/ 1 (pow y 2))) (* 64 (/ 1 (* (pow x 3) (pow y 5))))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ (* 8 (/ 1 (pow y 2))) (/ 512 (* (pow x 6) (pow y 8)))) (/ 64 (* (pow x 3) (pow y 5)))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ (* 512 (/ 1 (* (pow x 6) (pow y 8)))) (* 8 (/ 1 (pow y 2)))) (+ (* 4096 (/ 1 (* (pow x 9) (pow y 11)))) (/ 64 (* (pow x 3) (pow y 5))))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 y y))) (+.f64 (/.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 9 binary64))) (pow.f64 y #s(literal 11 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 #s(literal -2 binary64) (*.f64 x x)) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 #s(literal -2 binary64) (*.f64 x x))) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x)) (pow.f64 x #s(literal 3 binary64)))))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x)) (neg.f64 x))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x)
(* -1 (* x (- (* -1/2 (pow y 2)) 1)))
(.f64 (fma.f64 (.f64 y y) #s(literal 1/2 binary64) #s(literal 1 binary64)) x)
(* -1 (* x (- (+ (* -1/2 (pow y 2)) (/ y x)) 1)))
(.f64 (fma.f64 (.f64 #s(literal 1/2 binary64) y) y (-.f64 #s(literal 1 binary64) (/.f64 y x))) x)
(* -1 (* x (+ (* -1/2 y) (/ 1 x))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) 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)) (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 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 y y))) x)) x)) (neg.f64 x))
(* -1 (* x (- (* -1/2 y) (/ 1 x))))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))
(* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2)))))
(fma.f64 (fma.f64 (/.f64 y x) #s(literal -1/2 binary64) (.f64 #s(literal 1/4 binary64) (.f64 y y))) (*.f64 x x) #s(literal 1 binary64))
(* x (+ (* -1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
(* -1 (/ (- (* 64 (/ 1 (* (pow x 3) (pow y 5)))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(/.f64 (-.f64 (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 5 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 y y))) (neg.f64 (pow.f64 x #s(literal 3 binary64))))
(* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 (* (pow x 3) (pow y 8)))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 y y))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 (* (pow x 3) (pow y 11)))) (* 512 (/ 1 (pow y 8)))) (pow x 3))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 y #s(literal 11 binary64))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 y y))) (pow.f64 x #s(literal 3 binary64)))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 x y) #s(literal 1/2 binary64) #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) x (.f64 (.f64 (*.f64 x x) y) #s(literal -1/4 binary64))) y #s(literal -1 binary64)) y x)
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(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 (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(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))
(+ x (* y (- (* y (+ (* -1/4 (* (pow x 2) y)) (* 1/2 x))) 1)))
(fma.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 x)
(* 1/2 y)
(*.f64 #s(literal 1/2 binary64) y)
(* y (+ 1 (* -1/2 (* x y))))
(.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (- (* y (- (* -1/8 (* (pow x 3) y)) (* -1/4 (pow x 2)))) (* 1/2 x)))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))
(fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64))
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(.f64 (fma.f64 (fma.f64 (.f64 (.f64 x x) #s(literal 1/4 binary64)) y (.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ (* -1/2 x) (* y (+ (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(* y (+ 1 (* -1/8 (* (pow x 3) (pow y 3)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)) y)
(* y (+ 1 (* (pow y 3) (- (* 1/64 (* (pow x 6) (pow y 3))) (* 1/8 (pow x 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (pow.f64 y #s(literal 4 binary64)) y)
(* y (+ 1 (* (pow y 3) (- (* (pow y 3) (- (* -1/512 (* (pow x 9) (pow y 3))) (* -1/64 (pow x 6)))) (* 1/8 (pow x 3))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 9 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (pow.f64 y #s(literal 4 binary64)) y)
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64)) x) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) x)
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64)) x) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x y)) #s(literal 2 binary64)) x) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) y)
(* y (- (* -1/2 x) (/ 1 y)))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #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 (*.f64 y y) #s(literal 1/2 binary64)) x)
(* (pow y 2) (- (* 1/2 x) (/ 1 y)))
(.f64 (neg.f64 (fma.f64 (.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))) 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)))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 x y))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))
(* y (+ (* 1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) y) y)
(* (pow y 2) (- (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2))) (* 1/2 (/ x y))))
(fma.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64))) y) y #s(literal 1 binary64))
(* y (- (/ 1 y) (* 1/2 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
(/ (- (* 8 (/ 1 (pow x 3))) (* 64 (/ 1 (* (pow x 6) (pow y 3))))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y))
(/ (- (+ (* 8 (/ 1 (pow x 3))) (/ 512 (* (pow x 9) (pow y 6)))) (/ 64 (* (pow x 6) (pow y 3)))) (pow y 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y))
(/ (- (+ (* 512 (/ 1 (* (pow x 9) (pow y 6)))) (* 8 (/ 1 (pow x 3)))) (+ (* 4096 (/ 1 (* (pow x 12) (pow y 9)))) (/ 64 (* (pow x 6) (pow y 3))))) (pow y 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 x #s(literal 12 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))) (*.f64 y y))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x y)) #s(literal 2 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (neg.f64 y))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) x) y #s(literal 1 binary64)))
(* -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 #s(literal 1 binary64) (/.f64 x y)) (neg.f64 y))) y) y)
(* -1 (* y (+ (* -1/2 x) (/ 1 y))))
(neg.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y))
(* -1 (* y (- (* -1/2 x) (/ 1 y))))
(fma.f64 (neg.f64 x) (*.f64 #s(literal -1/2 binary64) y) #s(literal 1 binary64))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))
(fma.f64 (.f64 (fma.f64 (/.f64 x y) #s(literal -1/2 binary64) (.f64 (*.f64 x x) #s(literal 1/4 binary64))) y) y #s(literal 1 binary64))
(* y (+ (* -1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal 1 binary64))
(/ (+ (* -1 (/ (- (* 64 (/ 1 (pow x 6))) (* 512 (/ 1 (* (pow x 9) (pow y 3))))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 512 (/ 1 (pow x 9))) (* 4096 (/ 1 (* (pow x 12) (pow y 3))))) (pow y 3))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64))) (/.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 12 binary64))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))

rewrite229.0ms (3.3%)

Memory

11.8MiB live, 362.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	223
0	62	207
1	294	187
2	2558	187
0	9057	181

Stop Event

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

Counts

20 → 864

Calls

Call 1

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

Outputs
(.f64 (-.f64 (.f64 x x) (pow.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x y) #s(literal 1 binary64))) #s(literal 2 binary64))) (pow.f64 (+.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x y) #s(literal 1 binary64))) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x y) #s(literal 1 binary64))) #s(literal 2 binary64)) (.f64 x x)) (pow.f64 (-.f64 (/.f64 y (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) x) #s(literal -1 binary64)))
(.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x y) #s(literal 1 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x y) #s(literal 1 binary64))) (+.f64 (/.f64 y (fma.f64 #s(literal 1/2 binary64) (.f64 x y) #s(literal 1 binary64))) x) (*.f64 x x)) #s(literal -1 binary64)))
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(/.f64 (.f64 (-.f64 (pow.f64 (.f64 (.f64 x y) #s(literal -1/2 binary64)) #s(literal 4 binary64)) (pow.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 2 binary64))) y) (.f64 (-.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) #s(literal -1 binary64)) (.f64 (.f64 x y) #s(literal -1/2 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) (neg.f64 y)) (.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) #s(literal 1 binary64)) (.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y)))
(/.f64 (.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) (pow.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 3 binary64))) y) (.f64 (fma.f64 (pow.f64 (.f64 x y) #s(literal 4 binary64)) #s(literal 1/16 binary64) (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (-.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal 1/2 binary64) (.f64 x y) #s(literal 1 binary64)))
(/.f64 (.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))) y) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)) y)))
(/.f64 y (fma.f64 #s(literal 1/2 binary64) (*.f64 x y) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))))
(fma.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1/4 binary64) (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) y) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) y) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fma.f64 (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(fma.f64 (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64)) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))))
(fma.f64 #s(literal 1/4 binary64) (.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64)) (.f64 #s(literal 1/4 binary64) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))) (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(fma.f64 y (.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(fma.f64 y (.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 x y) #s(literal 2 binary64)))) (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal 1/2 binary64) (.f64 x y) #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(+.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))) (.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))))
(+.f64 (.f64 (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal 1/4 binary64)) (pow.f64 (.f64 x y) #s(literal 2 binary64))) (.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal 1 binary64))))
(.f64 (/.f64 y (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 y (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 x y) #s(literal 9 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 x y) #s(literal 6 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) y)
(.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 y (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (.f64 y #s(literal 1 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (.f64 y #s(literal 1 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y) #s(literal 1 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y)))
(/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 x y) #s(literal 3 binary64)) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 x y) #s(literal 3 binary64)) #s(literal 1 binary64)) y)) #s(literal -1 binary64)))
(.f64 (pow.f64 (.f64 (*.f64 x y) x) #s(literal 1 binary64)) y)
(.f64 (pow.f64 (.f64 (*.f64 x y) y) #s(literal 1 binary64)) x)
(.f64 (.f64 (*.f64 x y) x) y)
(.f64 (.f64 (*.f64 x y) y) x)
(.f64 (.f64 y y) (*.f64 x x))
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 x y) (*.f64 x y))
(.f64 x (pow.f64 (.f64 y (*.f64 x y)) #s(literal 1 binary64)))
(.f64 x (.f64 y (*.f64 x y)))
(.f64 y (pow.f64 (.f64 x (*.f64 x y)) #s(literal 1 binary64)))
(.f64 y (.f64 x (*.f64 x y)))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 x y)))
(pow.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 x y) #s(literal 2 binary64))
(exp.f64 (+.f64 (log.f64 (.f64 x y)) (log.f64 (.f64 x y))))
(exp.f64 (fma.f64 (log.f64 y) #s(literal 2 binary64) (*.f64 (log.f64 x) #s(literal 2 binary64))))
(exp.f64 (fma.f64 (log.f64 x) #s(literal 2 binary64) (*.f64 (log.f64 y) #s(literal 2 binary64))))
(exp.f64 (.f64 (.f64 (log.f64 (*.f64 x y)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (pow.f64 (.f64 x y) #s(literal 2 binary64))) #s(literal 1 binary64)))
(exp.f64 (.f64 (log.f64 (.f64 x y)) #s(literal 2 binary64)))

eval360.0ms (5.2%)

Memory: -31.3MiB live, 346.1MiB allocated
Compiler: Compiled 40 478 to 3 840 computations (90.5% saved)

prune58.0ms (0.8%)

Memory

14.1MiB live, 62.5MiB allocated

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	979	2	981
Fresh	0	0	0
Picked	2	3	5
Done	0	4	4
Total	981	9	990

Accuracy

100.0%

Counts

990 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	64.2%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
▶	66.4%	(-.f64 x (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 x y) x) y) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
✓	59.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
✓	64.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	62.2%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
✓	74.8%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
✓	27.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 152 to 112 computations (26.3% saved)

simplify214.0ms (3.1%)

Memory

-3.6MiB live, 188.2MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

New	Metric	Score
cost-diff	0	(*.f64 x y)
cost-diff	0	(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
cost-diff	0	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
cost-diff	192	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
cost-diff	0	(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 x y) x) y) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))
cost-diff	128	(-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (.f64 y x)))
cost-diff	128	(-.f64 x (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 x y) x) y) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))))
cost-diff	640	(fma.f64 (.f64 (.f64 (.f64 x y) x) y) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	165
0	43	165
1	99	164
2	274	155
3	1116	155
4	3051	155
5	6844	155
0	8118	147

Stop Event

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

Calls

Call 1

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

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

localize101.0ms (1.5%)

Memory

3.3MiB live, 132.0MiB allocated

Localize:

Found 8 expressions of interest:

New	Metric	Score
accuracy	0.0	(*.f64 x y)
accuracy	0.00390625	(fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))
accuracy	0.03515625	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
accuracy	0.5162843989224044	(/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64)))
accuracy	2.319830831579172	(/.f64 y (fma.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64)))
accuracy	3.1992187500000004	(fma.f64 (.f64 (.f64 (.f64 x y) x) y) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x))))
accuracy	3.9805570072966474	(.f64 (.f64 (*.f64 x y) x) y)
accuracy	22.177470888702477	(.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 x y) x) y) #s(literal 1/4 binary64) (-.f64 #s(literal 1 binary64) (.f64 #s(literal 1/2 binary64) (*.f64 y x)))))

Samples

50.0ms

256×

valid

Compiler

Compiled 343 to 54 computations (84.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 35.0ms

ival-mult: 19.0ms (54.2% of total)

ival-pow: 5.0ms (14.3% of total)

ival-add: 4.0ms (11.4% of total)

ival-div: 3.0ms (8.6% of total)

ival-sub: 2.0ms (5.7% of total)

exact: 1.0ms (2.9% of total)

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

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

series21.0ms (0.3%)

Memory

-14.0MiB live, 19.9MiB allocated

Counts

10 → 102

Calls

Call 1

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

Outputs
1
(+ 1 (* -1/2 (* x y)))
(+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 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 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (+ (* -1/8 (* x (pow y 4))) (* 1/4 (pow y 3)))))))
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(- (* -1/2 (* x y)) 1)
(* x y)
(* (pow x 2) (pow y 2))
(+ y (* -1/8 (* (pow x 3) (pow y 4))))
(+ y (* (pow x 3) (- (* 1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(+ y (* (pow x 3) (- (* (pow x 3) (- (* -1/512 (* (pow x 3) (pow y 10))) (* -1/64 (pow y 7)))) (* 1/8 (pow y 4)))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))
(* (pow x 2) (- (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2))) (* 1/2 (/ y x))))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* -1/2 (* x y))
(* x (- (/ 1 x) (* 1/2 y)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* x (- (* -1/2 y) (/ 1 x)))
(/ 8 (* (pow x 3) (pow y 2)))
(/ (- (* 8 (/ 1 (pow y 2))) (* 64 (/ 1 (* (pow x 3) (pow y 5))))) (pow x 3))
(/ (- (+ (* 8 (/ 1 (pow y 2))) (/ 512 (* (pow x 6) (pow y 8)))) (/ 64 (* (pow x 3) (pow y 5)))) (pow x 3))
(/ (- (+ (* 512 (/ 1 (* (pow x 6) (pow y 8)))) (* 8 (/ 1 (pow y 2)))) (+ (* 4096 (/ 1 (* (pow x 9) (pow y 11)))) (/ 64 (* (pow x 3) (pow y 5))))) (pow x 3))
(* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* 1/4 (pow y 2)) (/ 1 (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)))
(* x (+ (* -1/2 y) (/ 1 x)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(* -1 (/ (- (* 64 (/ 1 (* (pow x 3) (pow y 5)))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 (* (pow x 3) (pow y 8)))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 (* (pow x 3) (pow y 11)))) (* 512 (/ 1 (pow y 8)))) (pow x 3))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 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 (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (+ (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2))))))))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(* y (+ 1 (* -1/8 (* (pow x 3) (pow y 3)))))
(* y (+ 1 (* (pow y 3) (- (* 1/64 (* (pow x 6) (pow y 3))) (* 1/8 (pow x 3))))))
(* y (+ 1 (* (pow y 3) (- (* (pow y 3) (- (* -1/512 (* (pow x 9) (pow y 3))) (* -1/64 (pow x 6)))) (* 1/8 (pow x 3))))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(* (pow y 2) (- (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2))) (* 1/2 (/ x 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))))))
(* y (- (/ 1 y) (* 1/2 x)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (- (* -1/2 x) (/ 1 y)))
(/ (- (* 8 (/ 1 (pow x 3))) (* 64 (/ 1 (* (pow x 6) (pow y 3))))) (pow y 2))
(/ (- (+ (* 8 (/ 1 (pow x 3))) (/ 512 (* (pow x 9) (pow y 6)))) (/ 64 (* (pow x 6) (pow y 3)))) (pow y 2))
(/ (- (+ (* 512 (/ 1 (* (pow x 9) (pow y 6)))) (* 8 (/ 1 (pow x 3)))) (+ (* 4096 (/ 1 (* (pow x 12) (pow y 9)))) (/ 64 (* (pow x 6) (pow y 3))))) (pow y 2))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 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)))
(* y (+ (* -1/2 x) (/ 1 y)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(/ (+ (* -1 (/ (- (* 64 (/ 1 (pow x 6))) (* 512 (/ 1 (* (pow x 9) (pow y 3))))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 512 (/ 1 (pow x 9))) (* 4096 (/ 1 (* (pow x 12) (pow y 3))))) (pow y 3))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))

Calls

6 calls:

Time	Variable		Point	Expression
11.0ms	y	@	0	((+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x)))) (- x (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x)))))) (- 1 (* 1/2 (* y x))) (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x))))) (+ (* (/ 1 (+ (* (* x y) -1/2) -1)) y) x) (/ 1 (+ (* (* x y) -1/2) -1)) (+ (* (* x y) -1/2) -1) (* x y) (* (* (* x y) x) y) (/ y (+ (* (pow (* y x) 3) 1/8) 1)))
2.0ms	y	@	inf	((+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x)))) (- x (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x)))))) (- 1 (* 1/2 (* y x))) (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x))))) (+ (* (/ 1 (+ (* (* x y) -1/2) -1)) y) x) (/ 1 (+ (* (* x y) -1/2) -1)) (+ (* (* x y) -1/2) -1) (* x y) (* (* (* x y) x) y) (/ y (+ (* (pow (* y x) 3) 1/8) 1)))
2.0ms	y	@	-inf	((+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x)))) (- x (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x)))))) (- 1 (* 1/2 (* y x))) (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x))))) (+ (* (/ 1 (+ (* (* x y) -1/2) -1)) y) x) (/ 1 (+ (* (* x y) -1/2) -1)) (+ (* (* x y) -1/2) -1) (* x y) (* (* (* x y) x) y) (/ y (+ (* (pow (* y x) 3) 1/8) 1)))
2.0ms	x	@	-inf	((+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x)))) (- x (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x)))))) (- 1 (* 1/2 (* y x))) (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x))))) (+ (* (/ 1 (+ (* (* x y) -1/2) -1)) y) x) (/ 1 (+ (* (* x y) -1/2) -1)) (+ (* (* x y) -1/2) -1) (* x y) (* (* (* x y) x) y) (/ y (+ (* (pow (* y x) 3) 1/8) 1)))
1.0ms	x	@	inf	((+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x)))) (- x (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x)))))) (- 1 (* 1/2 (* y x))) (* (/ y (+ (* (pow (* y x) 3) 1/8) 1)) (+ (* (* (* (* x y) x) y) 1/4) (- 1 (* 1/2 (* y x))))) (+ (* (/ 1 (+ (* (* x y) -1/2) -1)) y) x) (/ 1 (+ (* (* x y) -1/2) -1)) (+ (* (* x y) -1/2) -1) (* x y) (* (* (* x y) x) y) (/ y (+ (* (pow (* y x) 3) 1/8) 1)))

simplify293.0ms (4.2%)

Memory

14.3MiB live, 240.5MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	491	1793
1	1522	1747
2	4473	1687
0	8362	1607

Stop Event

1×	iter limit
1×	node limit

Counts

102 → 100

Calls

Call 1

Inputs
1
(+ 1 (* -1/2 (* x y)))
(+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 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 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))) y)
y
(+ y (* -1/2 (* x (pow y 2))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(+ y (* x (+ (* -1/2 (pow y 2)) (* x (+ (* -1/8 (* x (pow y 4))) (* 1/4 (pow y 3)))))))
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
-1
(- (* 1/2 (* x y)) 1)
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(- (* -1/2 (* x y)) 1)
(* x y)
(* (pow x 2) (pow y 2))
(+ y (* -1/8 (* (pow x 3) (pow y 4))))
(+ y (* (pow x 3) (- (* 1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(+ y (* (pow x 3) (- (* (pow x 3) (- (* -1/512 (* (pow x 3) (pow y 10))) (* -1/64 (pow y 7)))) (* 1/8 (pow y 4)))))
(* 1/4 (* (pow x 2) (pow y 2)))
(* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))
(* (pow x 2) (- (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2))) (* 1/2 (/ y x))))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(* -1/2 (* x y))
(* x (- (/ 1 x) (* 1/2 y)))
(/ 2 x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/ -2 (* x y))
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(* x (- (* -1/2 y) (/ 1 x)))
(/ 8 (* (pow x 3) (pow y 2)))
(/ (- (* 8 (/ 1 (pow y 2))) (* 64 (/ 1 (* (pow x 3) (pow y 5))))) (pow x 3))
(/ (- (+ (* 8 (/ 1 (pow y 2))) (/ 512 (* (pow x 6) (pow y 8)))) (/ 64 (* (pow x 3) (pow y 5)))) (pow x 3))
(/ (- (+ (* 512 (/ 1 (* (pow x 6) (pow y 8)))) (* 8 (/ 1 (pow y 2)))) (+ (* 4096 (/ 1 (* (pow x 9) (pow y 11)))) (/ 64 (* (pow x 3) (pow y 5))))) (pow x 3))
(* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* 1/4 (pow y 2)) (/ 1 (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)))
(* x (+ (* -1/2 y) (/ 1 x)))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(* -1 (/ (- (* 64 (/ 1 (* (pow x 3) (pow y 5)))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 (* (pow x 3) (pow y 8)))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 (* (pow x 3) (pow y 11)))) (* 512 (/ 1 (pow y 8)))) (pow x 3))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 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 (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(* y (+ 1 (* y (+ (* -1/2 x) (* y (+ (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2))))))))
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(* y (+ 1 (* -1/8 (* (pow x 3) (pow y 3)))))
(* y (+ 1 (* (pow y 3) (- (* 1/64 (* (pow x 6) (pow y 3))) (* 1/8 (pow x 3))))))
(* y (+ 1 (* (pow y 3) (- (* (pow y 3) (- (* -1/512 (* (pow x 9) (pow y 3))) (* -1/64 (pow x 6)))) (* 1/8 (pow x 3))))))
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(* (pow y 2) (- (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2))) (* 1/2 (/ x 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))))))
(* y (- (/ 1 y) (* 1/2 x)))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(* y (- (* -1/2 x) (/ 1 y)))
(/ (- (* 8 (/ 1 (pow x 3))) (* 64 (/ 1 (* (pow x 6) (pow y 3))))) (pow y 2))
(/ (- (+ (* 8 (/ 1 (pow x 3))) (/ 512 (* (pow x 9) (pow y 6)))) (/ 64 (* (pow x 6) (pow y 3)))) (pow y 2))
(/ (- (+ (* 512 (/ 1 (* (pow x 9) (pow y 6)))) (* 8 (/ 1 (pow x 3)))) (+ (* 4096 (/ 1 (* (pow x 12) (pow y 9)))) (/ 64 (* (pow x 6) (pow y 3))))) (pow y 2))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 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)))
(* y (+ (* -1/2 x) (/ 1 y)))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(/ (+ (* -1 (/ (- (* 64 (/ 1 (pow x 6))) (* 512 (/ 1 (* (pow x 9) (pow y 3))))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 512 (/ 1 (pow x 9))) (* 4096 (/ 1 (* (pow x 12) (pow y 3))))) (pow y 3))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))

Outputs
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* x y)))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* x (- (* 1/4 (* x (pow y 2))) (* 1/2 y))))
(fma.f64 (.f64 y (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x #s(literal 1 binary64))
(* -1 y)
(neg.f64 y)
(- (* x (- 1 (* -1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x (neg.f64 y))
(- (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (.f64 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 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))) y)
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64))) x (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) x (neg.f64 y))
y
(+ y (* -1/2 (* x (pow y 2))))
(.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)
(+ y (* x (+ (* -1/2 (pow y 2)) (* 1/4 (* x (pow y 3))))))
(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 (+ (* -1/2 (pow y 2)) (* x (+ (* -1/8 (* x (pow y 4))) (* 1/4 (pow y 3)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/8 binary64) (.f64 (pow.f64 y #s(literal 4 binary64)) x) (.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 1/4 binary64))) x (.f64 (.f64 y y) #s(literal -1/2 binary64))) x y)
(+ (* -1 y) (* x (- 1 (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64)) x (neg.f64 y))
(+ (* -1 y) (* x (- (+ 1 (* -1/4 (* x (pow y 3)))) (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (.f64 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))
(+ (* -1 y) (* x (- (+ 1 (* x (- (* 1/8 (* x (pow y 4))) (* 1/4 (pow y 3))))) (* -1/2 (pow y 2)))))
(fma.f64 (fma.f64 (fma.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 y #s(literal 4 binary64)) x) #s(literal 1/8 binary64))) x (fma.f64 (*.f64 #s(literal 1/2 binary64) y) y #s(literal 1 binary64))) x (neg.f64 y))
-1
#s(literal -1 binary64)
(- (* 1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64))
(- (* x (- (* -1/4 (* x (pow y 2))) (* -1/2 y))) 1)
(fma.f64 (.f64 y (fma.f64 (.f64 #s(literal -1/4 binary64) x) y #s(literal 1/2 binary64))) x #s(literal -1 binary64))
(- (* x (- (* x (- (* 1/8 (* x (pow y 3))) (* 1/4 (pow y 2)))) (* -1/2 y))) 1)
(fma.f64 (fma.f64 (.f64 (.f64 y y) (fma.f64 (.f64 #s(literal 1/8 binary64) x) y #s(literal -1/4 binary64))) x (.f64 #s(literal 1/2 binary64) y)) x #s(literal -1 binary64))
(- (* -1/2 (* x y)) 1)
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(* x y)
(*.f64 y x)
(* (pow x 2) (pow y 2))
(.f64 (.f64 (*.f64 y y) x) x)
(+ y (* -1/8 (* (pow x 3) (pow y 4))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)) y)
(+ y (* (pow x 3) (- (* 1/64 (* (pow x 3) (pow y 7))) (* 1/8 (pow y 4)))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 7 binary64)) (.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)) y)
(+ y (* (pow x 3) (- (* (pow x 3) (- (* -1/512 (* (pow x 3) (pow y 10))) (* -1/64 (pow y 7)))) (* 1/8 (pow y 4)))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 10 binary64))) (pow.f64 x #s(literal 3 binary64)) (.f64 (pow.f64 y #s(literal 7 binary64)) #s(literal 1/64 binary64))) (pow.f64 x #s(literal 3 binary64)) (*.f64 #s(literal -1/8 binary64) (pow.f64 y #s(literal 4 binary64)))) (pow.f64 x #s(literal 3 binary64)) y)
(* 1/4 (* (pow x 2) (pow y 2)))
(.f64 (.f64 (.f64 (.f64 x x) y) #s(literal 1/4 binary64)) y)
(* (pow x 2) (+ (* -1/2 (/ y x)) (* 1/4 (pow y 2))))
(.f64 (.f64 y (fma.f64 y #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) (*.f64 x x))
(* (pow x 2) (- (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2))) (* 1/2 (/ y x))))
(fma.f64 (.f64 y (fma.f64 y #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x x) #s(literal 1 binary64))
x
(* x (- 1 (* 2 (/ 1 (pow x 2)))))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x)
(* x (- (+ 1 (/ 4 (* (pow x 3) y))) (* 2 (/ 1 (pow x 2)))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (/.f64 #s(literal 2 binary64) (.f64 x x))) x x)
(* x (- (+ 1 (* 4 (/ 1 (* (pow x 3) y)))) (+ (* 8 (/ 1 (* (pow x 4) (pow y 2)))) (* 2 (/ 1 (pow x 2))))))
(fma.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y)) (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 4 binary64))) (.f64 y y)) (/.f64 #s(literal 2 binary64) (*.f64 x x)))) x x)
(* -1/2 (* x y))
(.f64 (.f64 y x) #s(literal -1/2 binary64))
(* x (- (/ 1 x) (* 1/2 y)))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (- 2 (* 4 (/ 1 (* x y)))) x)
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(/ (- (+ 2 (/ 8 (* (pow x 2) (pow y 2)))) (/ 4 (* x y))) x)
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) x)
(/ (- (+ 2 (* 8 (/ 1 (* (pow x 2) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 3) (pow y 3)))) (/ 4 (* x y)))) x)
(/.f64 (-.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal 4 binary64) y)) x) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 3 binary64)))) x)
(/ -2 (* x y))
(/.f64 (/.f64 #s(literal -2 binary64) y) x)
(/ (- (* 4 (/ 1 (* x (pow y 2)))) (* 2 (/ 1 y))) x)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
(/ (- (/ 4 (* x (pow y 2))) (+ (* 2 (/ 1 y)) (/ 8 (* (pow x 2) (pow y 3))))) x)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 2 binary64) y)) x)
(/ (- (+ (* 16 (/ 1 (* (pow x 3) (pow y 4)))) (/ 4 (* x (pow y 2)))) (+ (* 2 (/ 1 y)) (* 8 (/ 1 (* (pow x 2) (pow y 3)))))) x)
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x) (/.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 y #s(literal 4 binary64))) (pow.f64 x #s(literal 3 binary64)))) x)
(* x (- (* -1/2 y) (/ 1 x)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(/ 8 (* (pow x 3) (pow y 2)))
(/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y))
(/ (- (* 8 (/ 1 (pow y 2))) (* 64 (/ 1 (* (pow x 3) (pow y 5))))) (pow x 3))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ (* 8 (/ 1 (pow y 2))) (/ 512 (* (pow x 6) (pow y 8)))) (/ 64 (* (pow x 3) (pow y 5)))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(/ (- (+ (* 512 (/ 1 (* (pow x 6) (pow y 8)))) (* 8 (/ 1 (pow y 2)))) (+ (* 4096 (/ 1 (* (pow x 9) (pow y 11)))) (/ 64 (* (pow x 3) (pow y 5))))) (pow x 3))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 6 binary64))) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 y y))) (+.f64 (/.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 y #s(literal 11 binary64))) (pow.f64 x #s(literal 9 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 5 binary64))))) (pow.f64 x #s(literal 3 binary64)))
(* (pow x 2) (+ (* -1/2 (/ y x)) (+ (* 1/4 (pow y 2)) (/ 1 (pow x 2)))))
(fma.f64 (.f64 y (fma.f64 y #s(literal 1/4 binary64) (/.f64 #s(literal -1/2 binary64) x))) (.f64 x x) #s(literal 1 binary64))
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) 1)))
(fma.f64 (/.f64 (/.f64 #s(literal -2 binary64) x) x) x x)
(* -1 (* x (- (* 2 (/ 1 (pow x 2))) (+ 1 (/ 4 (* (pow x 3) y))))))
(.f64 (fma.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 4 binary64) (.f64 (pow.f64 x #s(literal 3 binary64)) y))) (/.f64 (/.f64 #s(literal -2 binary64) x) x)) x)
(* -1 (* x (- (+ (* -1 (/ (- (* 4 (/ 1 y)) (* 8 (/ 1 (* x (pow y 2))))) (pow x 3))) (* 2 (/ 1 (pow x 2)))) 1)))
(.f64 (neg.f64 x) (-.f64 (-.f64 (/.f64 #s(literal 2 binary64) (.f64 x x)) #s(literal 1 binary64)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) y) (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x)) (pow.f64 x #s(literal 3 binary64)))))
(* x (+ (* -1/2 y) (/ 1 x)))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(* -1 (/ (- (* 4 (/ 1 (* x y))) 2) x))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 (* x (pow y 2)))) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal 4 binary64) y)) x)) (neg.f64 x))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* x (pow y 3)))) (* 8 (/ 1 (pow y 2)))) x)) (* 4 (/ 1 y))) x)) 2) x))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) y) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 y #s(literal 3 binary64)) x)) (/.f64 #s(literal 8 binary64) (.f64 y y))) x)) x) #s(literal 2 binary64)) x)
(* -1 (/ (- (* 2 (/ 1 y)) (* 4 (/ 1 (* x (pow y 2))))) x))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow y 2))) (* 8 (/ 1 (* x (pow y 3))))) x)) (* 2 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 #s(literal 8 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) x))) x)) (neg.f64 x))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow y 3))) (* 16 (/ 1 (* x (pow y 4))))) x)) (* 4 (/ 1 (pow y 2)))) x)) (* 2 (/ 1 y))) x))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4 binary64) y) y) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (*.f64 (pow.f64 y #s(literal 4 binary64)) x))) x)) x)) (neg.f64 x))
(* -1 (* x (+ (* 1/2 y) (/ 1 x))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(* -1 (/ (- (* 64 (/ 1 (* (pow x 3) (pow y 5)))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(/.f64 (fma.f64 #s(literal -1 binary64) (/.f64 #s(literal -8 binary64) (*.f64 y y)) (/.f64 (/.f64 #s(literal -64 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* 512 (/ 1 (* (pow x 3) (pow y 8)))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 8 binary64))) (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 5 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 y y))) (pow.f64 x #s(literal 3 binary64)))
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 4096 (/ 1 (* (pow x 3) (pow y 11)))) (* 512 (/ 1 (pow y 8)))) (pow x 3))) (* 64 (/ 1 (pow y 5)))) (pow x 3))) (* 8 (/ 1 (pow y 2)))) (pow x 3)))
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal -64 binary64) (pow.f64 y #s(literal 5 binary64))) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 x #s(literal 3 binary64))) (pow.f64 y #s(literal 11 binary64))) (/.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 8 binary64)))) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 8 binary64) (*.f64 y y))) (pow.f64 x #s(literal 3 binary64)))
(+ 1 (* y (- (* 1/4 (* (pow x 2) y)) (* 1/2 x))))
(fma.f64 (.f64 y (fma.f64 (.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x #s(literal 1 binary64))
(+ x (* -1 y))
(-.f64 x y)
(+ x (* y (- (* 1/2 (* x y)) 1)))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x)
(+ x (* y (- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)))
(fma.f64 (fma.f64 (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))))
(.f64 (fma.f64 (.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ (* -1/2 x) (* 1/4 (* (pow x 2) y))))))
(.f64 (fma.f64 (.f64 y (fma.f64 (*.f64 #s(literal 1/4 binary64) x) y #s(literal -1/2 binary64))) x #s(literal 1 binary64)) y)
(* y (+ 1 (* y (+ (* -1/2 x) (* y (+ (* -1/8 (* (pow x 3) y)) (* 1/4 (pow x 2))))))))
(.f64 (fma.f64 (fma.f64 (fma.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal -1/8 binary64) (.f64 (.f64 x x) #s(literal 1/4 binary64))) y (*.f64 #s(literal -1/2 binary64) x)) y #s(literal 1 binary64)) y)
(- (* y (- (* -1/4 (* (pow x 2) y)) (* -1/2 x))) 1)
(fma.f64 (fma.f64 (.f64 (.f64 x x) y) #s(literal -1/4 binary64) (*.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64))
(- (* y (- (* y (- (* 1/8 (* (pow x 3) y)) (* 1/4 (pow x 2)))) (* -1/2 x))) 1)
(fma.f64 (fma.f64 (fma.f64 (.f64 x x) #s(literal -1/4 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) #s(literal 1/8 binary64))) y (.f64 #s(literal 1/2 binary64) x)) y #s(literal -1 binary64))
(* y (+ 1 (* -1/8 (* (pow x 3) (pow y 3)))))
(fma.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 y #s(literal 4 binary64)) y)
(* y (+ 1 (* (pow y 3) (- (* 1/64 (* (pow x 6) (pow y 3))) (* 1/8 (pow x 3))))))
(fma.f64 (fma.f64 (.f64 #s(literal 1/64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)) (.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (pow.f64 y #s(literal 4 binary64)) y)
(* y (+ 1 (* (pow y 3) (- (* (pow y 3) (- (* -1/512 (* (pow x 9) (pow y 3))) (* -1/64 (pow x 6)))) (* 1/8 (pow x 3))))))
(fma.f64 (fma.f64 (fma.f64 (.f64 #s(literal -1/512 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 9 binary64)) (.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/64 binary64))) (pow.f64 y #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))) (pow.f64 y #s(literal 4 binary64)) y)
(* (pow y 2) (+ (* -1/2 (/ x y)) (* 1/4 (pow x 2))))
(.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/2 binary64) y))) (*.f64 y y))
(* (pow y 2) (- (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2))) (* 1/2 (/ x y))))
(fma.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/2 binary64) y))) y) y #s(literal 1 binary64))
(- x (* 2 (/ 1 x)))
(-.f64 x (/.f64 #s(literal 2 binary64) x))
(- (+ x (* 4 (/ 1 (* (pow x 2) y)))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) x)
(- (+ x (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))))
(-.f64 (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x) x) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y)))
(- (+ x (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y)))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))))
(+.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) x)
(* y (- (/ 1 y) (* 1/2 x)))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y))))
(/.f64 (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) (*.f64 y x))) x)
(- (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2)))) (/ 4 (* (pow x 2) y)))
(-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x))
(- (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2))))) (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))))
(-.f64 (-.f64 (/.f64 #s(literal 8 binary64) (.f64 (.f64 (pow.f64 x #s(literal 3 binary64)) y) y)) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x)) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64))))
(/ (- (* 4 (/ 1 (* (pow x 2) y))) (* 2 (/ 1 x))) y)
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
(/ (- (/ 4 (* (pow x 2) y)) (+ (* 2 (/ 1 x)) (/ 8 (* (pow x 3) (pow y 2))))) y)
(/.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) y)
(/ (- (+ (* 16 (/ 1 (* (pow x 4) (pow y 3)))) (/ 4 (* (pow x 2) y))) (+ (* 2 (/ 1 x)) (* 8 (/ 1 (* (pow x 3) (pow y 2)))))) y)
(/.f64 (+.f64 (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 y x)) #s(literal 2 binary64)) x) (/.f64 #s(literal 8 binary64) (.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) y) y))) (/.f64 (/.f64 #s(literal 16 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 y #s(literal 3 binary64)))) y)
(* y (- (* -1/2 x) (/ 1 y)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(/ (- (* 8 (/ 1 (pow x 3))) (* 64 (/ 1 (* (pow x 6) (pow y 3))))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y))
(/ (- (+ (* 8 (/ 1 (pow x 3))) (/ 512 (* (pow x 9) (pow y 6)))) (/ 64 (* (pow x 6) (pow y 3)))) (pow y 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64)))) (*.f64 y y))
(/ (- (+ (* 512 (/ 1 (* (pow x 9) (pow y 6)))) (* 8 (/ 1 (pow x 3)))) (+ (* 4096 (/ 1 (* (pow x 12) (pow y 9)))) (/ 64 (* (pow x 6) (pow y 3))))) (pow y 2))
(/.f64 (-.f64 (+.f64 (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 6 binary64))) (pow.f64 x #s(literal 9 binary64))) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (/.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 y #s(literal 9 binary64))) (pow.f64 x #s(literal 12 binary64))) (/.f64 (/.f64 #s(literal 64 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 6 binary64))))) (*.f64 y y))
(* (pow y 2) (+ (* -1/2 (/ x y)) (+ (* 1/4 (pow x 2)) (/ 1 (pow y 2)))))
(fma.f64 (.f64 (.f64 x (fma.f64 #s(literal 1/4 binary64) x (/.f64 #s(literal -1/2 binary64) y))) y) y #s(literal 1 binary64))
(- (+ x (* -1 (/ (- (* 8 (/ 1 (* (pow x 3) y))) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(+.f64 (/.f64 (-.f64 #s(literal -2 binary64) (/.f64 (-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (*.f64 y y)) x) (/.f64 #s(literal 4 binary64) y)) x)) x) x)
(- (+ x (* -1 (/ (- (* -1 (/ (- (* 16 (/ 1 (* (pow x 4) y))) (* 8 (/ 1 (pow x 3)))) y)) (* 4 (/ 1 (pow x 2)))) y))) (* 2 (/ 1 x)))
(-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 #s(literal -4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y)) (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64)))) y)) y)) (/.f64 #s(literal 2 binary64) x))
(* y (+ (* -1/2 x) (/ 1 y)))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y))
(+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x)))
(-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y))
(* -1 (/ (- (* 2 (/ 1 x)) (* 4 (/ 1 (* (pow x 2) y)))) y))
(/.f64 (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 y x)) #s(literal 2 binary64)) x) y)
(* -1 (/ (+ (* -1 (/ (- (* 4 (/ 1 (pow x 2))) (* 8 (/ 1 (* (pow x 3) y)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (*.f64 x x)) (/.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) y)) y)) (neg.f64 y))
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (* 8 (/ 1 (pow x 3))) (* 16 (/ 1 (* (pow x 4) y)))) y)) (* 4 (/ 1 (pow x 2)))) y)) (* 2 (/ 1 x))) y))
(/.f64 (-.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal 4 binary64) (.f64 x x)) (/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 16 binary64) (.f64 (pow.f64 x #s(literal 4 binary64)) y))) y)) y)) (neg.f64 y))
(* -1 (* y (+ (* 1/2 x) (/ 1 y))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(/ (+ (* -1 (/ (- (* 64 (/ 1 (pow x 6))) (* 512 (/ 1 (* (pow x 9) (pow y 3))))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (/.f64 #s(literal 512 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 9 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))
(/ (+ (* -1 (/ (+ (* -1 (/ (- (* 512 (/ 1 (pow x 9))) (* 4096 (/ 1 (* (pow x 12) (pow y 3))))) (pow y 3))) (* 64 (/ 1 (pow x 6)))) (pow y 3))) (* 8 (/ 1 (pow x 3)))) (pow y 2))
(/.f64 (-.f64 (/.f64 #s(literal 8 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 64 binary64) (pow.f64 x #s(literal 6 binary64))) (/.f64 (-.f64 (/.f64 #s(literal 512 binary64) (pow.f64 x #s(literal 9 binary64))) (/.f64 (/.f64 #s(literal 4096 binary64) (pow.f64 y #s(literal 3 binary64))) (pow.f64 x #s(literal 12 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (pow.f64 y #s(literal 3 binary64)))) (*.f64 y y))

rewrite253.0ms (3.6%)

Memory

-0.4MiB live, 320.4MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	124
0	43	142
1	189	132
2	1599	83
0	8916	81

Stop Event

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

Counts

10 → 907

Calls

Call 1

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

Outputs
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) (pow.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))))))
(.f64 (-.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)) (pow.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) #s(literal 4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) (pow.f64 (.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
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(/.f64 (-.f64 (.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 y x) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (neg.f64 (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x))))
(/.f64 (fma.f64 #s(literal 1/4 binary64) (pow.f64 (.f64 y x) #s(literal 2 binary64)) #s(literal -1 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (*.f64 y x) #s(literal 1/2 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) (fma.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x))) (-.f64 #s(literal 1 binary64) (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (.f64 (.f64 y x) #s(literal 1/2 binary64)))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) x) y #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) y)) x #s(literal -1 binary64))
(fma.f64 (neg.f64 (*.f64 y x)) #s(literal 1/2 binary64) #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal -1/2 binary64) y) x #s(literal -1 binary64))
(fma.f64 (*.f64 #s(literal 1/2 binary64) y) (neg.f64 x) #s(literal -1 binary64))
(fma.f64 #s(literal -1 binary64) (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal -1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64))
(fma.f64 (*.f64 y x) #s(literal -1/2 binary64) #s(literal -1 binary64))
(fma.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 y x)) #s(literal -1 binary64))
(fma.f64 y (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) y) #s(literal -1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))) (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))))
(-.f64 (/.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (.f64 (.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64))) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (neg.f64 (.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))))
(+.f64 (.f64 #s(literal -1/2 binary64) (.f64 y x)) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (.f64 #s(literal -1/2 binary64) (.f64 y x)))
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 x)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 y)))
(*.f64 y x)
(*.f64 x y)
(exp.f64 (log.f64 (*.f64 y x)))
(.f64 (.f64 y y) (*.f64 x x))
(.f64 (.f64 y (*.f64 y x)) x)
(.f64 (.f64 (*.f64 y x) y) x)
(.f64 (.f64 x x) (*.f64 y y))
(.f64 (.f64 y x) (*.f64 y x))
(.f64 (.f64 (*.f64 x x) y) y)
(.f64 y (.f64 (*.f64 x x) y))
(.f64 x (.f64 y (*.f64 y x)))
(.f64 x (.f64 (*.f64 y x) y))
(pow.f64 (*.f64 y x) #s(literal 2 binary64))
(exp.f64 (.f64 (log.f64 (.f64 y x)) #s(literal 2 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 y (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (pow.f64 (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 y x) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 y (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 y (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))))
(.f64 (/.f64 y (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) #s(literal -1 binary64))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(.f64 (/.f64 y (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 y x) #s(literal 9 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64))))
(.f64 (/.f64 y (fma.f64 #s(literal -1/512 binary64) (pow.f64 (.f64 y x) #s(literal 9 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 1/64 binary64) (pow.f64 (.f64 y x) #s(literal 6 binary64)) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 (neg.f64 (neg.f64 y)) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) y)
(.f64 (neg.f64 y) (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(.f64 #s(literal -1 binary64) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(.f64 #s(literal 1 binary64) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(.f64 y (pow.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) y) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(/.f64 (neg.f64 y) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) y)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) y))
(/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)))
(neg.f64 (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))) (/.f64 y (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal -1 binary64))))
(exp.f64 (.f64 (log.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1 binary64)) y)) #s(literal -1 binary64)))

eval204.0ms (2.9%)

Memory: -4.0MiB live, 277.0MiB allocated
Compiler: Compiled 44 105 to 3 714 computations (91.6% saved)

prune42.0ms (0.6%)

Memory

20.3MiB live, 58.7MiB allocated

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	925	1	926
Fresh	0	0	0
Picked	1	1	2
Done	0	7	7
Total	926	9	935

Accuracy

100.0%

Counts

935 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x y) #s(literal -1/2 binary64) #s(literal -1 binary64))) y x)
✓	99.9%	(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
✓	64.2%	(-.f64 x (/.f64 y #s(approx (+ (* (* y x) 1/2) 1) (.f64 #s(literal 1/2 binary64) (.f64 y x)))))
	66.4%	(-.f64 x (.f64 (/.f64 y (fma.f64 (pow.f64 (.f64 y x) #s(literal 3 binary64)) #s(literal 1/8 binary64) #s(literal 1 binary64))) (fma.f64 (.f64 (.f64 (.f64 x y) x) y) #s(literal 1/4 binary64) (fma.f64 (.f64 y x) #s(literal -1/2 binary64) #s(literal 1 binary64)))))
✓	59.4%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (fma.f64 (.f64 (.f64 y y) x) #s(literal -1/2 binary64) y)))
✓	64.3%	(-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))
✓	62.2%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) y) x #s(literal -1 binary64)) y x))
✓	74.8%	#s(approx (- x (/ y (+ (* (* y x) 1/2) 1))) (-.f64 x y))
✓	27.9%	#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Compiler

Compiled 471 to 200 computations (57.5% saved)

regimes19.0ms (0.3%)

Memory

-15.3MiB live, 29.7MiB allocated

Counts

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

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

Calls

3 calls:

8.0ms	y
5.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
5.0ms	x

Results

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

Compiler

Compiled 13 to 13 computations (0% saved)

regimes9.0ms (0.1%)

Memory

22.2MiB live, 22.2MiB allocated

Counts

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

Outputs

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

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

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

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
90.3%	3	`x`
91.6%	3	`y`
86.9%	3	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes7.0ms (0.1%)

Memory

-23.4MiB live, 14.4MiB allocated

Counts

3 → 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 (+ (* (* y x) 1/2) 1))) (-.f64 x y))

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

Calls

3 calls:

3.0ms	y
2.0ms	(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))
2.0ms	x

Results

Accuracy	Segments	Branch
74.8%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`
74.8%	1	`x`
74.8%	1	`y`

Compiler

Compiled 13 to 13 computations (0% saved)

regimes4.0ms (0.1%)

Memory

11.2MiB live, 11.2MiB 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	y
1.0ms	x

Results

Accuracy	Segments	Branch
27.9%	1	`x`
27.9%	1	`y`
27.9%	1	`(-.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) #s(literal 2 binary64)))))`

Compiler

Compiled 13 to 13 computations (0% saved)

bsearch24.0ms (0.3%)

Memory

9.5MiB live, 46.5MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.3334010014287196e+92	6.405971762022634e+94
12.0ms	-4.067289291379392e+113	-4.636834433621455e+111

Samples

12.0ms

224×

valid

Compiler

Compiled 434 to 364 computations (16.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 7.0ms

ival-div: 3.0ms (42.9% of total)

ival-mult: 2.0ms (28.6% of total)

ival-sub: 1.0ms (14.3% of total)

ival-add: 1.0ms (14.3% of total)

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

exact: 0.0ms (0% of total)

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

simplify186.0ms (2.7%)

Memory

-21.5MiB live, 64.9MiB allocated

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	78
1	47	78
2	68	78
3	94	78
4	146	78
5	246	78
6	654	78
7	3859	78
8	7018	78

Stop Event

1×	node limit

Calls

Call 1

Inputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -125000000000000001944927016183355378033525174615132679171221322553854222645594462908123173739380930959525785108480 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 8500000000000000542395158140237374758323970775123345930135054207817838968748665454870946381824 binary64)) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x)))))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

Outputs
(-.f64 x (/.f64 y (fma.f64 (*.f64 y x) #s(literal 1/2 binary64) #s(literal 1 binary64))))
(if (<=.f64 y #s(literal -125000000000000001944927016183355378033525174615132679171221322553854222645594462908123173739380930959525785108480 binary64)) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) (if (<=.f64 y #s(literal 8500000000000000542395158140237374758323970775123345930135054207817838968748665454870946381824 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 -125000000000000001944927016183355378033525174615132679171221322553854222645594462908123173739380930959525785108480 binary64)) (not (<=.f64 y #s(literal 8500000000000000542395158140237374758323970775123345930135054207817838968748665454870946381824 binary64)))) (-.f64 x #s(approx (/ y (+ 1 (/ (* x y) 2))) (/.f64 #s(literal 2 binary64) x))) #s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y)))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (-.f64 x y))
#s(approx (- x (/ y (+ 1 (/ (* x y) 2)))) (neg.f64 y))

soundness392.0ms (5.6%)

Memory

-0.1MiB live, 270.1MiB allocated

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	231	702
1	738	677
2	1999	654
3	6194	648
0	8591	614
0	9	35
0	14	35
1	63	35
2	500	35
3	6902	35
0	8556	32

Stop Event

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

Compiler

Compiled 112 to 58 computations (48.2% saved)

preprocess48.0ms (0.7%)

Memory: 11.8MiB live, 60.5MiB allocated
Compiler: Compiled 178 to 78 computations (56.2% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

start0.0ms (0%)

analyze29.0ms (0.4%)

sample1.1s (16.5%)

explain137.0ms (2%)

preprocess71.0ms (1%)

eval0.0ms (0%)

prune0.0ms (0%)

simplify31.0ms (0.4%)

localize23.0ms (0.3%)

series9.0ms (0.1%)

simplify165.0ms (2.4%)

rewrite244.0ms (3.5%)

eval43.0ms (0.6%)

prune8.0ms (0.1%)

simplify439.0ms (6.3%)

localize249.0ms (3.6%)

series50.0ms (0.7%)

simplify351.0ms (5.1%)

rewrite334.0ms (4.8%)

eval181.0ms (2.6%)

prune205.0ms (3%)

simplify175.0ms (2.5%)

localize346.0ms (5%)

series28.0ms (0.4%)

simplify227.0ms (3.3%)

rewrite229.0ms (3.3%)

eval360.0ms (5.2%)

prune58.0ms (0.8%)

simplify214.0ms (3.1%)

localize101.0ms (1.5%)

series21.0ms (0.3%)

simplify293.0ms (4.2%)

rewrite253.0ms (3.6%)

eval204.0ms (2.9%)

prune42.0ms (0.6%)

regimes19.0ms (0.3%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes4.0ms (0.1%)

bsearch24.0ms (0.3%)

simplify186.0ms (2.7%)

soundness392.0ms (5.6%)

preprocess48.0ms (0.7%)

end0.0ms (0%)

Profiling