Metrics for Data.Colour.RGB:hslsv from colour-2.3.3, C

start0.0ms (0%)

Memory: 0.1MiB live, 0.0MiB allocated

analyze16.0ms (0.2%)

Memory

32.1MiB live, 32.1MiB 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
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
79.7%	79.6%	20.3%	0.1%	0%	0%	0%	7
83.6%	83.5%	16.4%	0.1%	0%	0%	0%	8
90.2%	90.1%	9.8%	0.1%	0%	0%	0%	9
92%	91.9%	8%	0.1%	0%	0%	0%	10
95.2%	95.1%	4.8%	0.1%	0%	0%	0%	11
96%	96%	4%	0.1%	0%	0%	0%	12

Compiler

Compiled 11 to 9 computations (18.2% saved)

sample1.7s (17.6%)

Memory

-21.2MiB live, 968.4MiB allocated

Samples

1.4s	8 255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 570.0ms

ival-sub: 412.0ms (72.2% of total)

ival-div: 82.0ms (14.4% of total)

ival-add: 62.0ms (10.9% of total)

ival-true: 6.0ms (1.1% of total)

exact: 5.0ms (0.9% of total)

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

adjust: 0.0ms (0% of total)

Bogosity

explain89.0ms (0.9%)

Memory

-8.1MiB live, 121.9MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`(-.f64 x y)`
-	-	`(+.f64 x y)`
-	-	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`
-	-	`(-.f64 #s(literal 2 binary64) (+.f64 x y))`
-	-	`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

25.0ms

512×

valid

Compiler

Compiled 86 to 35 computations (59.3% saved)

Precisions

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

ival-sub: 5.0ms (43.7% of total)

ival-div: 3.0ms (26.2% of total)

ival-add: 3.0ms (26.2% of total)

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

exact: 0.0ms (0% of total)

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

preprocess114.0ms (1.2%)

Memory

16.5MiB live, 97.4MiB allocated

Algorithm

1×	egg-herbie

Rules

464×	`lower-fma.f64`
464×	`lower-fma.f32`
312×	`unsub-neg`
260×	`div-sub`
226×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	51
1	66	47
2	168	46
3	494	45
4	1095	45
5	1632	45
6	1885	45
7	1991	45
8	2049	45
9	2062	45
0	7	9
0	11	9
1	21	9
2	38	9
3	79	9
4	186	9
5	346	9
6	616	9
7	904	9
8	948	9
9	964	9
10	965	9
0	965	9

Stop Event

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

Calls

Call 1

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

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.1MiB live, 1.1MiB allocated

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify59.0ms (0.6%)

Memory

-16.5MiB live, 21.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

464×	`lower-fma.f64`
464×	`lower-fma.f32`
224×	`lower-*.f64`
224×	`lower-*.f32`
152×	`lower-+.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize19.0ms (0.2%)

Memory

13.6MiB live, 13.6MiB allocated

Localize:

Found 4 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy	0	(+.f64 x y)
accuracy	0.02734375	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Samples

12.0ms

256×

valid

Compiler

Compiled 25 to 9 computations (64% saved)

Precisions

Click to see histograms. Total time spent on operations: 6.0ms

ival-sub: 3.0ms (53.6% of total)

ival-div: 2.0ms (35.7% of total)

ival-add: 1.0ms (17.9% of total)

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

exact: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Memory

3.5MiB live, 3.5MiB allocated

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))>
#<alt (-.f64 x y)>
#<alt (-.f64 #s(literal 2 binary64) (+.f64 x y))>
#<alt (+.f64 x y)>

Outputs
#<alt (* -1 (/ y (- 2 y)))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt (+ (* -1 (/ y (- 2 y))) (* x (- (+ (* x (- (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (pow (- 2 y) 2)) (* -1 (/ (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2))) (- 2 y))))) (/ 1 (- 2 y))) (/ y (pow (- 2 y) 2)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (+ (* 2 (/ y x)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) (pow x 3))) (+ 1 (+ (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) (pow x 2))) (* 2 (/ 1 x)))))>
#<alt -1>
#<alt (- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (* (- 2 y) (- (* 2 y) 2)) x))) x)) 1)>
#<alt (- (* -1 (/ (+ (* -1 (- (* 2 y) 2)) (* -1 (/ (+ (* (- 2 y) (- (* 2 y) 2)) (/ (* (pow (- 2 y) 2) (- (* 2 y) 2)) x)) x))) x)) 1)>
#<alt (/ x (- 2 x))>
#<alt (+ (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
#<alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))>
#<alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow (- 2 x) 2) (- (* -1 x) (* -1 (- 2 x)))) (pow y 3)))) (+ (* -1 (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2))) (* -1 (/ (- 2 x) y))))>
#<alt 1>
#<alt (+ 1 (* -1 (/ (- (* 2 x) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))>
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow (- 2 x) 2) (- (* 2 x) 2)) y)) (* (- 2 x) (- (* 2 x) 2))) y)) (* 2 x)) 2) y)))>
#<alt (* -1 y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt (- x y)>
#<alt x>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt (* x (+ 1 (* -1 (/ y x))))>
#<alt x>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt (* -1 (* x (- (/ y x) 1)))>
#<alt x>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (+ x (* -1 y))>
#<alt (* -1 y)>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* y (- (/ x y) 1))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ x y)))))>
#<alt (- 2 y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (- (+ 2 (* -1 x)) y)>
#<alt (* -1 x)>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))>
#<alt (* -1 x)>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))>
#<alt (- 2 x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (- (+ 2 (* -1 y)) x)>
#<alt (* -1 y)>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))>
#<alt (* -1 y)>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt (* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))>
#<alt y>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt x>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt (* x (+ 1 (/ y x)))>
#<alt x>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt (* -1 (* x (- (* -1 (/ y x)) 1)))>
#<alt x>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt (+ x y)>
#<alt y>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt (* y (+ 1 (/ x y)))>
#<alt y>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>
#<alt (* -1 (* y (- (* -1 (/ x y)) 1)))>

Calls

24 calls:

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

simplify929.0ms (9.7%)

Memory

-15.6MiB live, 462.4MiB allocated

Algorithm

1×	egg-herbie

Rules

12 038×	`lower-fma.f64`
12 038×	`lower-fma.f32`
4 472×	`lower-*.f64`
4 472×	`lower-*.f32`
2 680×	`lower--.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	186	985
1	571	921
2	1809	857
3	7607	851
0	8573	806

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 87

Calls

Call 1

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

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

rewrite317.0ms (3.3%)

Memory

15.7MiB live, 520.0MiB allocated

Rules

4 750×	`lower-fma.f64`
4 750×	`lower-fma.f32`
4 670×	`lower-*.f64`
4 670×	`lower-*.f32`
4 200×	`lower-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
0	11	20
1	60	20
2	525	20
3	7752	20
0	8474	20

Stop Event

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

Counts

4 → 607

Calls

Call 1

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

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

eval102.0ms (1.1%)

Memory: 25.3MiB live, 230.6MiB allocated
Compiler: Compiled 19 615 to 1 840 computations (90.6% saved)

prune95.0ms (1%)

Memory

-18.7MiB live, 260.3MiB allocated

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	681	13	694
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	681	14	695

Accuracy

100.0%

Counts

695 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	85.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 y (/.f64 x y) y))))
▶	60.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
	37.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
	40.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
	46.1%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
▶	45.8%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
	54.5%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	40.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
	36.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))
▶	39.6%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 277 to 175 computations (36.8% saved)

simplify67.0ms (0.7%)

Memory

14.6MiB live, 92.9MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 16 expressions of interest:

New	Metric	Score
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
cost-diff	0	(-.f64 #s(literal 2 binary64) y)
cost-diff	0	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
cost-diff	0	(+.f64 y #s(literal -2 binary64))
cost-diff	0	(/.f64 y (+.f64 y #s(literal -2 binary64)))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff	0	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff	1280	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))

Rules

704×	`lower-fma.f32`
702×	`lower-fma.f64`
400×	`lower-*.f32`
398×	`lower-*.f64`
220×	`times-frac`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	25	149
0	39	154
1	65	152
2	106	152
3	200	152
4	372	140
5	610	140
6	1006	140
7	1470	140
8	1568	140
9	1591	140
10	1595	140
11	1596	140
0	1596	140

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize69.0ms (0.7%)

Memory

-16.6MiB live, 145.8MiB allocated

Localize:

Found 16 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy	0	(+.f64 x y)
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	0.1328125	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
accuracy	0	(-.f64 x y)
accuracy	0	(-.f64 #s(literal 2 binary64) y)
accuracy	0.02734375	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y)))
accuracy	25.562456099527605	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))
accuracy	0	(+.f64 y #s(literal -2 binary64))
accuracy	0.00390625	(/.f64 y (+.f64 y #s(literal -2 binary64)))
accuracy	34.708825681850335	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
accuracy	38.628565139986854	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
accuracy	0	(+.f64 x y)
accuracy	0.00390625	(/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64)))
accuracy	0.01171875	(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	0.0703125	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))

Samples

38.0ms

256×

valid

Compiler

Compiled 136 to 21 computations (84.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 22.0ms

ival-div: 10.0ms (44.9% of total)

ival-add: 5.0ms (22.4% of total)

ival-sub: 4.0ms (18% of total)

ival-mult: 3.0ms (13.5% of total)

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

exact: 0.0ms (0% of total)

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

series16.0ms (0.2%)

Memory

-5.5MiB live, 31.3MiB allocated

Counts

14 → 300

Calls

Call 1

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

Outputs
#<alt (/ y (- y 2))>
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#<alt (+ (* y (- (+ (* y (- (* y (- (/ 1 (pow (- x 2) 3)) (* -1 (/ x (pow (- 2 x) 4))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- x 2) 2))))) (/ 1 (- x 2))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))>
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#<alt 1>
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#<alt (/ 1 (- 2 y))>
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#<alt -1>
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#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
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#<alt 1>
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#<alt -1>
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#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
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#<alt 1>
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#<alt (* -1/2 y)>
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#<alt 1>
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#<alt -1>
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#<alt -1>
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#<alt (/ x (- 2 x))>
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#<alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow (- 2 x) 4))) (/ 1 (pow (- 2 x) 3))))) (+ (* -1 (/ x (pow (- 2 x) 3))) (/ 1 (pow (- 2 x) 2))))) (+ (* -1 (/ x (pow (- 2 x) 2))) (/ 1 (- 2 x))))) (/ x (- 2 x)))>
#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt 1>
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#<alt (+ 1 (* -1 (/ (- (* -1 (/ (pow (- x 2) 2) y)) (* -1 (- x 2))) y)))>
#<alt (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow (- x 2) 3) y)) (* -1 (pow (- x 2) 2))) y)) (* -1 (- x 2))) y)))>
#<alt (/ y (- y 2))>
#<alt (+ (* -1 (/ (* x y) (pow (- y 2) 2))) (/ y (- y 2)))>
#<alt (+ (* x (- (/ (* x y) (pow (- y 2) 3)) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt (+ (* x (- (* x (- (* -1 (/ (* x y) (pow (- y 2) 4))) (* -1 (/ y (pow (- y 2) 3))))) (/ y (pow (- y 2) 2)))) (/ y (- y 2)))>
#<alt (/ y x)>
#<alt (/ (+ y (* -1 (/ (* y (- y 2)) x))) x)>
#<alt (/ (- (+ y (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x)) x)>
#<alt (/ (- (+ y (* -1 (/ (* y (pow (- y 2) 3)) (pow x 3)))) (+ (* -1 (/ (* y (pow (- y 2) 2)) (pow x 2))) (/ (* y (- y 2)) x))) x)>
#<alt (/ y x)>
#<alt (* -1 (/ (+ (* -1 y) (/ (* y (- y 2)) x)) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (/ (* y (pow (- y 2) 2)) x) (* y (- y 2))) x))) x))>
#<alt (* -1 (/ (+ (* -1 y) (* -1 (/ (- (* -1 (/ (- (/ (* y (pow (- y 2) 3)) x) (* y (pow (- y 2) 2))) x)) (* y (- y 2))) x))) x))>

Calls

75 calls:

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

simplify318.0ms (3.3%)

Memory

28.7MiB live, 710.3MiB allocated

Algorithm

1×	egg-herbie

Rules

8 118×	`lower-fma.f64`
8 118×	`lower-fma.f32`
3 874×	`lower-*.f64`
3 874×	`lower-*.f32`
3 442×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	579	4625
1	1788	4238
2	5559	4121
0	8262	3899

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 289

Calls

Call 1

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

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

rewrite597.0ms (6.2%)

Memory

4.3MiB live, 469.6MiB allocated

Rules

5 070×	`lower-/.f32`
5 062×	`lower-/.f64`
3 976×	`lower-*.f32`
3 974×	`lower-*.f64`
3 718×	`lower-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	25	111
0	39	116
1	164	102
2	1398	102
0	8373	102

Stop Event

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

Counts

14 → 903

Calls

Call 1

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

Outputs
(+.f64 (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (-.f64 x (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (-.f64 x (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 y (+.f64 x y) (.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 y (+.f64 x y) (.f64 x x))) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 y y) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (-.f64 x y) (neg.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (.f64 x x)))) (/.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (fma.f64 y (+.f64 x y) (.f64 x x)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))) (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 x y))))
(-.f64 (/.f64 (.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (+.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (+.f64 (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (+.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (+.f64 (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))))
(-.f64 (/.f64 (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (-.f64 (neg.f64 y) x) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 (-.f64 (neg.f64 y) x) (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))) (/.f64 (/.f64 (.f64 y y) (.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))) (+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))))))
(fma.f64 #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 #s(literal 1 binary64) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 y (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 #s(literal -1 binary64) (/.f64 x (+.f64 (+.f64 x y) #s(literal -2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) y (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 y #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 x y) (+.f64 #s(literal 2 binary64) (+.f64 x y)) #s(literal 4 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 2 binary64) (+.f64 x y)) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
(fma.f64 (/.f64 x (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 x y)))) (.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (neg.f64 y)))
(fma.f64 (/.f64 y (fma.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)) #s(literal -8 binary64))) (-.f64 (fma.f64 (+.f64 x y) (+.f64 x y) #s(literal 4 binary64)) (.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))))
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eval214.0ms (2.2%)

Memory: 14.9MiB live, 480.1MiB allocated
Compiler: Compiled 40 177 to 2 692 computations (93.3% saved)

prune190.0ms (2%)

Memory

-33.0MiB live, 401.5MiB allocated

Pruning

17 alts after pruning (12 fresh and 5 done)

	Pruned	Kept	Total
New	1 518	5	1 523
Fresh	1	7	8
Picked	1	4	5
Done	0	1	1
Total	1 520	17	1 537

Accuracy

100.0%

Counts

1 537 → 17

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	85.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 y (/.f64 x y) y))))
▶	37.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
	40.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
▶	25.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
	46.1%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
	62.9%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (-.f64 x y))
✓	45.8%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
	54.5%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	40.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
▶	10.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
	11.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y #s(literal -1/2 binary64))))
▶	36.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) #s(literal 1 binary64)))
✓	39.6%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 292 to 181 computations (38% saved)

simplify190.0ms (2%)

Memory

-4.7MiB live, 106.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 18 expressions of interest:

New	Metric	Score
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- 2 (+ x y)) (neg.f64 y))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
cost-diff	0	#s(approx (- 2 y) #s(literal 2 binary64))
cost-diff	0	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
cost-diff	0	(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
cost-diff	0	(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
cost-diff	0	#s(approx (/ y (+ y -2)) #s(literal 1 binary64))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) #s(literal 1 binary64)))
cost-diff	0	(+.f64 x y)
cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff	0	(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
cost-diff	704	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))

Rules

1 880×	`lower-fma.f32`
1 878×	`lower-fma.f64`
1 016×	`lower-*.f32`
1 014×	`lower-*.f64`
902×	`div-sub`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	31	171
0	43	171
1	79	171
2	122	169
3	228	169
4	511	169
5	1040	169
6	2128	169
7	3124	169
8	3919	169
9	4040	169
10	4166	169
11	4238	169
12	4250	169
13	4252	169
14	4268	169
15	4324	169
16	4616	169
0	4616	169

Stop Event

1×	iter limit
1×	saturated
1×	iter limit

Calls

Call 1

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

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

localize74.0ms (0.8%)

Memory

2.7MiB live, 120.9MiB allocated

Localize:

Found 18 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.02734375	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
accuracy	40.17427618177793	#s(approx (- 2 (+ x y)) (neg.f64 y))
accuracy	0	(-.f64 x y)
accuracy	0.02734375	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
accuracy	25.562456099527605	#s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))
accuracy	31.442528841702327	#s(approx (- 2 y) #s(literal 2 binary64))
accuracy	0	(fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))
accuracy	0.0078125	(*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))
accuracy	31.809828182137313	#s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64))))
accuracy	34.708825681850335	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
accuracy	31.038798474534428	#s(approx (/ y (+ y -2)) #s(literal 1 binary64))
accuracy	34.708825681850335	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) #s(literal 1 binary64)))
accuracy	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
accuracy	0	(+.f64 x y)
accuracy	0.01953125	(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
accuracy	0.0703125	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))

Samples

48.0ms

256×

valid

Compiler

Compiled 125 to 22 computations (82.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 18.0ms

ival-div: 6.0ms (32.7% of total)

ival-add: 4.0ms (21.8% of total)

ival-sub: 3.0ms (16.4% of total)

ival-mult: 3.0ms (16.4% of total)

ival-neg: 1.0ms (5.5% of total)

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

exact: 0.0ms (0% of total)

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

series10.0ms (0.1%)

Memory

17.9MiB live, 17.9MiB allocated

Counts

17 → 336

Calls

Call 1

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

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

Calls

84 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/ (- 2 (+ x y)) (- x y))
0.0ms	y	@	0	(/ (- 2 (+ x y)) (- x y))
0.0ms	y	@	inf	(* y (+ (* y -1/4) -1/2))
0.0ms	y	@	inf	(/ (- 2 (+ x y)) (- x y))
0.0ms	y	@	-inf	(* y (+ (* y -1/4) -1/2))

simplify334.0ms (3.5%)

Memory

-10.1MiB live, 547.1MiB allocated

Algorithm

1×	egg-herbie

Rules

9 064×	`lower-fma.f64`
9 064×	`lower-fma.f32`
4 754×	`lower-+.f64`
4 754×	`lower-+.f32`
4 658×	`lower-*.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	356	4606
1	1105	4281
2	3525	3949
0	8635	3714

Stop Event

1×	iter limit
1×	node limit

Counts

336 → 327

Calls

Call 1

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

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

rewrite370.0ms (3.9%)

Memory

22.2MiB live, 500.0MiB allocated

Rules

5 006×	`lower-/.f32`
4 998×	`lower-/.f64`
3 444×	`lower-*.f32`
3 442×	`lower-*.f64`
2 684×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	152
0	43	150
1	176	150
2	1280	150
0	8303	150

Stop Event

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

Counts

17 → 749

Calls

Call 1

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

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

eval180.0ms (1.9%)

Memory: -7.9MiB live, 252.4MiB allocated
Compiler: Compiled 28 781 to 2 821 computations (90.2% saved)

prune145.0ms (1.5%)

Memory

-9.5MiB live, 318.7MiB allocated

Pruning

18 alts after pruning (8 fresh and 10 done)

	Pruned	Kept	Total
New	1 240	2	1 242
Fresh	1	6	7
Picked	0	5	5
Done	0	5	5
Total	1 241	18	1 259

Accuracy

100.0%

Counts

1 259 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	85.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 y (/.f64 x y) y))))
✓	37.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
	40.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	25.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
▶	46.1%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
▶	62.9%	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (-.f64 x y))
✓	45.8%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
▶	54.5%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	40.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
✓	10.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
	3.0%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) (*.f64 y #s(literal -1/4 binary64))))))
▶	11.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))))
✓	36.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) #s(literal 1 binary64)))
✓	39.6%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 268 to 163 computations (39.2% saved)

simplify235.0ms (2.5%)

Memory

26.4MiB live, 337.7MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 19 expressions of interest:

New	Metric	Score
cost-diff	0	(-.f64 #s(literal 2 binary64) x)
cost-diff	0	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))
cost-diff	0	(/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
cost-diff	320	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (-.f64 x y))
cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
cost-diff	0	(neg.f64 y)
cost-diff	0	#s(approx (- x y) (neg.f64 y))
cost-diff	0	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
cost-diff	0	(-.f64 #s(literal 2 binary64) x)
cost-diff	0	(/.f64 x (-.f64 #s(literal 2 binary64) x))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
cost-diff	0	#s(approx (+ (* y -1/4) -1/2) #s(literal -1/2 binary64))
cost-diff	0	(.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))
cost-diff	0	#s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64))))
cost-diff	0	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))))
cost-diff	0	(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 y (/.f64 x y) y)))
cost-diff	0	(-.f64 x y)
cost-diff	0	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 y (/.f64 x y) y))))
cost-diff	896	(fma.f64 y (/.f64 x y) y)

Rules

4 336×	`lower-fma.f32`
4 334×	`lower-fma.f64`
3 270×	`lower-*.f32`
3 266×	`lower-*.f64`
1 484×	`div-sub`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	212
0	53	209
1	84	207
2	129	207
3	253	198
4	505	198
5	975	198
6	3303	198
7	5723	198
8	7693	198
0	8003	194

Stop Event

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

Calls

Call 1

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

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

localize415.0ms (4.3%)

Memory

0.3MiB live, 119.3MiB allocated

Localize:

Found 19 expressions of interest:

New	Metric	Score
accuracy	0	(-.f64 #s(literal 2 binary64) x)
accuracy	0.0078125	(/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x)))
accuracy	0.12890625	(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))) (-.f64 x y))
accuracy	23.508496133569004	#s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) x))
accuracy	0	(+.f64 x y)
accuracy	0	(neg.f64 y)
accuracy	0.0234375	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
accuracy	34.44706919535135	#s(approx (- x y) (neg.f64 y))
accuracy	0	(-.f64 #s(literal 2 binary64) x)
accuracy	0.0078125	(/.f64 x (-.f64 #s(literal 2 binary64) x))
accuracy	28.939678275495005	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
accuracy	0.0078125	(.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))
accuracy	31.15542352000949	#s(approx (+ (* y -1/4) -1/2) #s(literal -1/2 binary64))
accuracy	31.561453092526932	#s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64))))
accuracy	34.46273553016695	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))))
accuracy	0	(-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 y (/.f64 x y) y)))
accuracy	0	#s(approx (+ x y) (fma.f64 y (/.f64 x y) y))
accuracy	0.0234375	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 y (/.f64 x y) y))))
accuracy	8.737986479156564	(fma.f64 y (/.f64 x y) y)

Samples

359.0ms	255×	0	valid
27.0ms	1×	5	exit

Compiler

Compiled 140 to 26 computations (81.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 304.0ms

ival-add: 258.0ms (84.9% of total)

ival-sub: 30.0ms (9.9% of total)

ival-div: 8.0ms (2.6% of total)

ival-mult: 6.0ms (2% of total)

exact: 1.0ms (0.3% of total)

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

adjust: 0.0ms (0% of total)

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

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

series8.0ms (0.1%)

Memory

13.9MiB live, 13.9MiB allocated

Counts

20 → 408

Calls

Call 1

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

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

Calls

102 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/ x (- 2 x))
0.0ms	x	@	-inf	(/ x (- 2 x))
0.0ms	x	@	0	(/ x (- 2 x))
0.0ms	y	@	0	(+ (* y (/ x y)) y)
0.0ms	x	@	inf	(- 2 x)

simplify547.0ms (5.7%)

Memory

-42.2MiB live, 732.7MiB allocated

Algorithm

1×	egg-herbie

Rules

12 318×	`lower-fma.f64`
12 318×	`lower-fma.f32`
4 254×	`lower-*.f64`
4 254×	`lower-*.f32`
3 854×	`lower-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	385	4859
1	1178	4544
2	3498	4221
0	8656	3984

Stop Event

1×	iter limit
1×	node limit

Counts

408 → 384

Calls

Call 1

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

rewrite459.0ms (4.8%)

Memory

-6.0MiB live, 674.8MiB allocated

Rules

5 742×	`lower-/.f32`
5 732×	`lower-/.f64`
4 034×	`lower-*.f32`
4 030×	`lower-*.f64`
2 828×	`lower-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	189
0	53	189
1	210	187
2	1540	183
0	8400	175

Stop Event

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

Counts

20 → 626

Calls

Call 1

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

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

eval423.0ms (4.4%)

Memory: 6.4MiB live, 239.4MiB allocated
Compiler: Compiled 25 633 to 2 322 computations (90.9% saved)

prune302.0ms (3.2%)

Memory

20.6MiB live, 259.2MiB allocated

Pruning

18 alts after pruning (4 fresh and 14 done)

	Pruned	Kept	Total
New	1 160	2	1 162
Fresh	1	2	3
Picked	1	4	5
Done	0	10	10
Total	1 162	18	1 180

Accuracy

100.0%

Counts

1 180 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) x (/.f64 y (+.f64 (+.f64 x y) #s(literal -2 binary64))))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	85.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) #s(approx (+ x y) (fma.f64 y (/.f64 x y) y))))
✓	37.2%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 y)))
	40.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (neg.f64 x)))
✓	25.1%	(/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64))))
✓	46.1%	(/.f64 #s(approx (- x y) (neg.f64 y)) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
✓	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (-.f64 x y))
✓	45.8%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))
✓	54.5%	#s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x)))
	40.4%	#s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64)))
✓	10.8%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (*.f64 y (fma.f64 y #s(literal -1/4 binary64) #s(literal -1/2 binary64)))))
✓	11.2%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) (.f64 y #s(approx (+ ( y -1/4) -1/2) #s(literal -1/2 binary64)))))
✓	36.9%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ y (+ y -2)) #s(literal 1 binary64)))
	16.6%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64)))))
	17.3%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64))))
✓	39.6%	#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Compiler

Compiled 357 to 160 computations (55.2% saved)

regimes39.0ms (0.4%)

Memory

12.1MiB live, 51.0MiB allocated

Counts

23 → 1

Calls

Call 1

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

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

Calls

3 calls:

24.0ms	y
7.0ms	x
6.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes40.0ms (0.4%)

Memory

-29.4MiB live, 20.7MiB allocated

Counts

17 → 2

Calls

Call 1

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

Outputs

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

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

Calls

3 calls:

27.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
6.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
86.5%	3	`x`
78.7%	3	`y`
97.5%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes6.0ms (0.1%)

Memory

7.2MiB live, 7.2MiB allocated

Counts

16 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
97.5%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory

8.5MiB live, 8.5MiB allocated

Counts

14 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

4.0ms

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

Results

Accuracy	Segments	Branch
97.2%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

10.7MiB live, 10.7MiB allocated

Counts

11 → 2

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
89.0%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes5.0ms (0.1%)

Memory

-27.0MiB live, 11.5MiB allocated

Counts

10 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

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

Results

Accuracy	Segments	Branch
88.5%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes4.0ms (0%)

Memory

12.3MiB live, 12.3MiB allocated

Counts

9 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
87.9%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes3.0ms (0%)

Memory

11.0MiB live, 11.0MiB allocated

Counts

7 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

1 calls:

3.0ms

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

Results

Accuracy	Segments	Branch
87.8%	3	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 11 to 7 computations (36.4% saved)

regimes7.0ms (0.1%)

Memory

-18.1MiB live, 21.2MiB allocated

Counts

3 → 2

Calls

Call 1

Inputs

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

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

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

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
64.0%	3	`y`
63.3%	3	`x`
74.8%	2	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes4.0ms (0%)

Memory

15.9MiB live, 15.9MiB allocated

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Outputs
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Calls

3 calls:

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

Results

Accuracy	Segments	Branch
39.6%	1	`x`
39.6%	1	`y`
39.6%	1	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`

Compiler

Compiled 17 to 11 computations (35.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.8MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.8075547309828479	-0.005044844268470314

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.6MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	-0.005044844268470314	-1.7983243037026554e-7

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1039168291673653e-13	0.9258993276168801
0.0ms	-0.005044844268470314	-1.7983243037026554e-7

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.4MiB live, 0.4MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	3.6302787675266506e-23	1.3706830261592579e-22

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.5MiB live, 0.5MiB allocated

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	2.1039168291673653e-13	0.9258993276168801

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1039168291673653e-13	0.9258993276168801
0.0ms	-3.3755325227551098e-34	-1.4315127747798903e-34

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch0.0ms (0%)

Memory

0.7MiB live, 0.7MiB allocated

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	2.1039168291673653e-13	0.9258993276168801
0.0ms	-3.3755325227551098e-34	-1.4315127747798903e-34

Compiler

Compiled 14 to 12 computations (14.3% saved)

bsearch13.0ms (0.1%)

Memory

-3.0MiB live, 36.2MiB allocated

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
12.0ms	-8.186384643847805e-236	1.1347365540978094e-286

Samples

5.0ms

208×

valid

Compiler

Compiled 144 to 116 computations (19.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 0.0ms

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

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

simplify14.0ms (0.1%)

Memory

-7.5MiB live, 33.4MiB allocated

Algorithm

1×	egg-herbie

Rules

20×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`*-commutative_binary64`
6×	`neg-sub0_binary64`
6×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	419
1	82	419
2	94	419
3	102	419
4	105	419

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -1/2 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (+.f64 (/.f64 (fma.f64 y #s(literal 2 binary64) #s(literal -2 binary64)) x) #s(literal -1 binary64))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) (-.f64 #s(literal 2 binary64) y))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -5764607523034235/1152921504606846976 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) (/.f64 (-.f64 x y) #s(approx (- 2 (+ x y)) #s(approx (- 2 y) #s(literal 2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64))))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 4253529586511731/85070591730234615865843651857942052864 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) (/.f64 x (-.f64 #s(literal 2 binary64) x))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x (fma.f64 x #s(literal 1/4 binary64) #s(literal 1/2 binary64))))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -4676805239458889/23384026197294446691258957323460528314494920687616 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal 3961408125713217/9903520314283042199192993792 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(approx (/ x (- 2 x)) (*.f64 x #s(literal 1/2 binary64)))) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64))))
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) #s(literal -20240225330731/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64)) #s(approx (/ (- x y) (- 2 (+ x y))) #s(literal 1 binary64)))
#s(approx (/ (- x y) (- 2 (+ x y))) #s(literal -1 binary64))

soundness758.0ms (7.9%)

Memory

1.6MiB live, 600.7MiB allocated

Rules

12 318×	`lower-fma.f64`
12 318×	`lower-fma.f32`
12 038×	`lower-fma.f64`
12 038×	`lower-fma.f32`
8 118×	`lower-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	579	4625
1	1788	4238
2	5559	4121
0	8262	3899
0	186	985
1	571	921
2	1809	857
3	7607	851
0	8573	806
0	385	4859
1	1178	4544
2	3498	4221
0	8656	3984

Stop Event

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

Compiler

Compiled 369 to 147 computations (60.2% saved)

preprocess92.0ms (1%)

Memory: 19.1MiB live, 210.6MiB allocated
Compiler: Compiled 536 to 126 computations (76.5% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23

start0.0ms (0%)

analyze16.0ms (0.2%)

sample1.7s (17.6%)

explain89.0ms (0.9%)

preprocess114.0ms (1.2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify59.0ms (0.6%)

localize19.0ms (0.2%)

series5.0ms (0.1%)

simplify929.0ms (9.7%)

rewrite317.0ms (3.3%)

eval102.0ms (1.1%)

prune95.0ms (1%)

simplify67.0ms (0.7%)

localize69.0ms (0.7%)

series16.0ms (0.2%)

simplify318.0ms (3.3%)

rewrite597.0ms (6.2%)

eval214.0ms (2.2%)

prune190.0ms (2%)

simplify190.0ms (2%)

localize74.0ms (0.8%)

series10.0ms (0.1%)

simplify334.0ms (3.5%)

rewrite370.0ms (3.9%)

eval180.0ms (1.9%)

prune145.0ms (1.5%)

simplify235.0ms (2.5%)

localize415.0ms (4.3%)

series8.0ms (0.1%)

simplify547.0ms (5.7%)

rewrite459.0ms (4.8%)

eval423.0ms (4.4%)

prune302.0ms (3.2%)

regimes39.0ms (0.4%)

regimes40.0ms (0.4%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

regimes3.0ms (0%)

regimes7.0ms (0.1%)

regimes4.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch0.0ms (0%)

bsearch13.0ms (0.1%)

simplify14.0ms (0.1%)

soundness758.0ms (7.9%)

preprocess92.0ms (1%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	7	23
0	11	23
1	21	23
2	38	23
3	79	23
4	186	23
5	346	23
6	616	23
7	904	23
8	948	23
9	964	23
10	965	23
0	965	23