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

analyze61.0ms (0.9%)

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 12 to 8 computations (33.3% saved)

Precisions

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

ival-sub: 3.0ms (44.3% of total)

ival-add: 2.0ms (29.6% of total)

ival-div: 1.0ms (14.8% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

sample907.0ms (13.5%)

Results

590.0ms	8255×	0	valid
0.0ms	1×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 266.0ms

ival-sub: 125.0ms (47.1% of total)

ival-add: 69.0ms (26% of total)

ival-div: 58.0ms (21.8% of total)

const: 11.0ms (4.1% of total)

backward-pass: 2.0ms (0.8% of total)

Bogosity

preprocess150.0ms (2.2%)

Algorithm

2×	egg-herbie

Rules

2564×	`sum4-define`
2496×	`sum3-define`
1868×	`fnmadd-define`
1278×	`fnmsub-define`
1196×	`fmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	23	60
1	78	56
2	187	55
3	595	54
4	1793	52
5	4261	52
6	7221	52
0	7	9
1	17	9
2	34	9
3	81	9
4	222	9
5	502	8
6	1242	8
7	2300	8
8	2722	8
9	2876	8
10	2895	8
11	2903	8
0	2903	8

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

Inputs
(/ (- x y) (- 2 (+ x y)))

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

Call 2

Inputs
(/ (- x y) (- 2 (+ x y)))
(/ (- (neg x) y) (- 2 (+ (neg x) y)))
(/ (- x (neg y)) (- 2 (+ x (neg y))))
(neg (/ (- (neg x) y) (- 2 (+ (neg x) y))))
(neg (/ (- x (neg y)) (- 2 (+ x (neg y)))))
(/ (- y x) (- 2 (+ y x)))

Outputs
(/ (- x y) (- 2 (+ x y)))
(/ (- y x) (sum3 x y -2))
(/ (- (neg x) y) (- 2 (+ (neg x) y)))
(/ (+ x y) (+ (- y x) -2))
(/ (- x (neg y)) (- 2 (+ x (neg y))))
(/ (+ x y) (+ y (- 2 x)))
(neg (/ (- (neg x) y) (- 2 (+ (neg x) y))))
(/ (+ x y) (+ (- x y) 2))
(neg (/ (- x (neg y)) (- 2 (+ x (neg y)))))
(/ (+ x y) (sum3 x (neg y) -2))
(/ (- y x) (- 2 (+ y x)))
(/ (- x y) (sum3 x y -2))

explain86.0ms (1.3%)

FPErrors

Click to see full error table

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

Results

61.0ms

512×

valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-div: 12.0ms (56.1% of total)

ival-sub: 6.0ms (28% of total)

ival-add: 3.0ms (14% of total)

const: 1.0ms (4.7% of total)

backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

prune1.0ms (0%)

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)

simplify78.0ms (1.2%)

Algorithm

1×	egg-herbie

Localize:

Found 4 expressions of interest:

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

Rules

682×	`fnmadd-define`
582×	`fnmsub-define`
582×	`fmsub-define`
514×	`fmm-def`
496×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	7	23
1	17	23
2	34	23
3	81	23
4	222	23
5	502	22
6	1242	22
7	2300	22
8	2722	22
9	2876	22
10	2895	22
11	2903	22
0	2903	22

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- x y) (- 2 (+ x y)))
(- x y)
x
y
(- 2 (+ x y))
2
(+ x y)

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

localize26.0ms (0.4%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

17.0ms

256×

valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

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

ival-sub: 3.0ms (46.5% of total)

ival-div: 2.0ms (31% of total)

ival-add: 1.0ms (15.5% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series5.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

Inputs
#<alt (/ (- x y) (- 2 (+ x y)))>
#<alt (- x y)>
#<alt (- 2 (+ x y))>
#<alt (+ 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)))

rewrite413.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4698×	`-lowering-.f32`
4698×	`-lowering-.f64`
4208×	`/-lowering-/.f32`
4208×	`/-lowering-/.f64`
1782×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	56	20
2	540	20
0	8304	20

Stop Event

1×	iter limit
1×	node limit

Counts

4 → 453

Calls

Call 1

Inputs
(/ (- x y) (- 2 (+ x y)))
(- x y)
(- 2 (+ x y))
(+ x y)

Outputs
(+.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 x y))) y (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64)))))) (/.f64 y (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (*.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(+.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (fma.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -2 binary64)) (/.f64 y (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (/.f64 y (-.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 #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))) (-.f64 #s(literal 0 binary64) 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))) (-.f64 #s(literal 0 binary64) 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 x (+.f64 y #s(literal 2 binary64))))))
(+.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 x (+.f64 y #s(literal 2 binary64))))) (.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))))) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y)))) (.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 x (+.f64 y #s(literal 2 binary64)))) (/.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 x (+.f64 y #s(literal 2 binary64)))) (/.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 (+.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.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 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))))
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(-.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))))
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(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64))))))))
(.f64 (+.f64 #s(literal -4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal -2 binary64))))
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(.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64)))))) (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))))
(.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (+.f64 y #s(literal 2 binary64)))) (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))))
(.f64 (.f64 (-.f64 #s(literal 2 binary64) (-.f64 x y)) (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (-.f64 x y))))
(.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y)))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(.f64 (/.f64 (-.f64 #s(literal 8 binary64) (.f64 (+.f64 x y) (.f64 (+.f64 x y) (+.f64 x y)))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64)))) (.f64 (+.f64 x y) (.f64 (+.f64 x (+.f64 y #s(literal 2 binary64))) (.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64))))))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64)))) (-.f64 (*.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64)))) #s(literal 4 binary64)))))
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(+.f64 x y)
(+.f64 y x)
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(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 x y))
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(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
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(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
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(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y y))))
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(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
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(/.f64 (neg.f64 (-.f64 (.f64 y y) (.f64 x x))) (-.f64 x y))
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(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))
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(/.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))))) (+.f64 (/.f64 (.f64 x x) (-.f64 x y)) (.f64 y (/.f64 y (-.f64 x y)))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))
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(/.f64 (.f64 #s(literal 1 binary64) (-.f64 (.f64 y y) (*.f64 x x))) (-.f64 y x))
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(/.f64 (.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) #s(literal 1 binary64)) (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (.f64 (+.f64 x y) (+.f64 x y))))) (-.f64 (.f64 x x) (.f64 y (+.f64 x y))))
(/.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y)))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (+.f64 (.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 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(/.f64 (.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y y) (+.f64 (.f64 x x) (.f64 y y)))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (+.f64 (.f64 x x) (*.f64 y y)))
(/.f64 (.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(/.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) #s(literal 1 binary64)) (-.f64 x y))
(/.f64 (/.f64 (-.f64 (.f64 y y) (.f64 x 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 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (/.f64 (+.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
(.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 x x) (.f64 y (-.f64 y x))))))
(.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (/.f64 (+.f64 x y) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (+.f64 x y))
(.f64 (-.f64 (.f64 x x) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(*.f64 #s(literal -1 binary64) (-.f64 (-.f64 #s(literal 0 binary64) y) x))
(.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x))))))
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(.f64 (.f64 (/.f64 (+.f64 x y) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) #s(literal 1 binary64)) (+.f64 (.f64 x x) (.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x))))
(*.f64 (/.f64 (+.f64 x y) #s(literal 1 binary64)) #s(literal 1 binary64))
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(.f64 (/.f64 (+.f64 x y) (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (/.f64 (-.f64 x y) (+.f64 (.f64 x x) (*.f64 y (-.f64 y x)))))
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(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x y) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) #s(literal 1 binary64))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
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(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (.f64 y (.f64 (-.f64 y x) (.f64 y (-.f64 y x))))))) (+.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 (.f64 y (-.f64 y x)) (-.f64 (.f64 y (-.f64 y x)) (.f64 x x)))))
(.f64 (/.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 (+.f64 (.f64 x x) (.f64 y (-.f64 y x))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))) (-.f64 (.f64 x x) (.f64 y (-.f64 y x))))

simplify236.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

3872×	`-lowering-.f32`
3872×	`-lowering-.f64`
3194×	`+-lowering-+.f64`
3194×	`+-lowering-+.f32`
1664×	`--lowering--.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	951
1	626	873
2	2140	795
0	8586	795

Stop Event

1×	iter limit
1×	node limit

Counts

96 → 96

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))) (*.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) 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)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (.f64 x (+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) y))) (/.f64 (.f64 x (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.f64 #s(literal 2 binary64) y)) (-.f64 #s(literal 2 binary64) 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)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (+.f64 (.f64 x (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) (/.f64 (/.f64 y (-.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 y (-.f64 #s(literal 2 binary64) y)) (+.f64 y #s(literal -2 binary64)))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (*.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))))
(+.f64 (+.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64)) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -2 binary64))) (.f64 x 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)))))
(+.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) y) (.f64 (-.f64 #s(literal 2 binary64) y) (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)))) (.f64 x (.f64 x x))) (-.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) (+.f64 #s(literal 1 binary64) (.f64 (-.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 y #s(literal -2 binary64))) (*.f64 x x))))))
-1
#s(literal -1 binary64)
(- (* 2 (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (/.f64 (+.f64 (*.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 (+.f64 (.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 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) (/.f64 (.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 #s(literal 0 binary64) (.f64 (+.f64 (.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)) (.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)))))
(+ (* 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)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y (+.f64 (.f64 y (-.f64 (/.f64 (/.f64 x (-.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 #s(literal 2 binary64) x))))) (+.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))))))
(+ (* 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)) (.f64 y (+.f64 (.f64 y (-.f64 (-.f64 (/.f64 (/.f64 x (-.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 #s(literal 2 binary64) x)))) (.f64 y (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) x)) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) (/.f64 x (pow.f64 (-.f64 #s(literal 2 binary64) x) #s(literal 4 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))))))
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 #s(literal -2 binary64) x)) y))
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (- 2 x) (- (* -1 x) (* -1 (- 2 x)))) (pow y 2)))) (* -1 (/ (- 2 x) y)))
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) (.f64 (/.f64 (-.f64 #s(literal 2 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) 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)) (+.f64 (.f64 (/.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) 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 #s(literal -2 binary64) x)) y))
(+ 1 (* -1 (/ (- (+ (* 2 x) (/ (* (- 2 x) (- (* 2 x) 2)) y)) 2) y)))
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 (+.f64 #s(literal 2 binary64) (.f64 #s(literal -2 binary64) x)) (/.f64 (-.f64 #s(literal 2 binary64) x) y)) (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))) 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 (.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)) (/.f64 (.f64 (+.f64 (.f64 #s(literal 2 binary64) 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)
(-.f64 #s(literal 0 binary64) 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 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (* -1 (/ y x))))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (/ y x) 1)))
(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x 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)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) x) #s(literal -1 binary64)))
(- 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)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))

eval95.0ms (1.4%)

Compiler: Compiled 15574 to 1555 computations (90% saved)

prune71.0ms (1.1%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	541	8	549
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	541	9	550

Accuracy

100.0%

Counts

550 → 9

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)))
▶	85.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
	63.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
	52.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶	49.1%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	48.8%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶	43.2%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y))
	42.8%	#s(literal 1 binary64)
▶	38.1%	#s(literal -1 binary64)

Compiler

Compiled 139 to 101 computations (27.3% saved)

simplify164.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(*.f64 #s(literal -2 binary64) x)
✓	cost-diff	0	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
✓	cost-diff	0	(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y)
✓	cost-diff	0	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	cost-diff	0	(/.f64 x (-.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	(-.f64 x y)
✓	cost-diff	256	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	cost-diff	256	(-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	cost-diff	256	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))

Rules

1942×	`sum3-define`
1604×	`fmsub-define`
1546×	`fnmsub-define`
1384×	`-lowering-.f32`
1384×	`-lowering-.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	21	110
1	49	107
2	106	102
3	284	87
4	799	87
5	1831	86
6	4764	86
0	8298	86

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

Inputs
(/ (- x y) (- 2 (* y (+ 1 (/ x y)))))
(- x y)
x
y
(- 2 (* y (+ 1 (/ x y))))
2
(* y (+ 1 (/ x y)))
(+ 1 (/ x y))
1
(/ x y)
-1
(/ x (- 2 x))
x
(- 2 x)
2
(/ x (- 2 (+ x y)))
x
(- 2 (+ x y))
2
(+ x y)
y
(+ 1 (/ (+ 2 (* -2 x)) y))
1
(/ (+ 2 (* -2 x)) y)
(+ 2 (* -2 x))
2
(* -2 x)
-2
x
y

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

localize122.0ms (1.8%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y))
✓	accuracy	100.0%	(*.f64 #s(literal -2 binary64) x)
✓	accuracy	100.0%	(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) x)) y)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	accuracy	86.1%	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))

Results

95.0ms

256×

valid

Compiler

Compiled 105 to 22 computations (79% saved)

Precisions

Click to see histograms. Total time spent on operations: 63.0ms

ival-add: 41.0ms (65.1% of total)

ival-div: 9.0ms (14.3% of total)

ival-mult: 8.0ms (12.7% of total)

ival-sub: 5.0ms (7.9% of total)

const: 1.0ms (1.6% of total)

backward-pass: 0.0ms (0% of total)

series39.0ms (0.6%)

Counts

14 → 288

Calls

Call 1

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

Calls

72 calls:

Time	Variable		Point	Expression
25.0ms	y	@	-inf	(/ (+ 2 (* -2 x)) y)
1.0ms	y	@	0	(/ x (- 2 (+ x y)))
1.0ms	x	@	inf	(/ x (- 2 (+ x y)))
1.0ms	y	@	0	(- 2 (* y (+ 1 (/ x y))))
0.0ms	y	@	-inf	(- 2 (* y (+ 1 (/ x y))))

rewrite381.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4718×	`/-lowering-/.f32`
4718×	`/-lowering-/.f64`
3978×	`-lowering-.f32`
3978×	`-lowering-.f64`
1738×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	84
1	158	81
2	1552	72
0	8577	72

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 464

Calls

Call 1

Inputs
(/ (- x y) (- 2 (* y (+ 1 (/ x y)))))
(- 2 (* y (+ 1 (/ x y))))
(* y (+ 1 (/ x y)))
(- x y)
(/ x (- 2 x))
(- 2 x)
(/ x (- 2 (+ x y)))
(- 2 (+ x y))
(+ x y)
(+ 1 (/ (+ 2 (* -2 x)) y))
(/ (+ 2 (* -2 x)) y)
(+ 2 (* -2 x))
(* -2 x)
(+ 1 (/ x y))

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

simplify312.0ms (4.7%)

Algorithm

1×	egg-herbie

Rules

3750×	`-lowering-.f32`
3750×	`-lowering-.f64`
3006×	`+-lowering-+.f64`
3006×	`+-lowering-+.f32`
1374×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	367	2441
1	1244	2271
2	4076	2217
0	9218	2217

Stop Event

1×	iter limit
1×	node limit

Counts

288 → 288

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

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))) (.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)))))))
(+ (* -1 (/ y (- 2 y))) (* x (- (+ (/ 1 (- 2 y)) (/ (* x (- (/ 1 (- 2 y)) (/ y (pow (- 2 y) 2)))) (- 2 y))) (/ y (pow (- 2 y) 2)))))
(+.f64 (/.f64 y (+.f64 y #s(literal -2 binary64))) (.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 x (-.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))))))))
(+ (* -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)))))
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(+ (* y (- (/ (* x y) (pow (- 2 x) 3)) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y (+.f64 (/.f64 (.f64 y x) (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)))) (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)))))
(+ (* y (- (* y (- (/ (* x y) (pow (- 2 x) 4)) (* -1 (/ x (pow (- 2 x) 3))))) (* -1 (/ x (pow (- 2 x) 2))))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 y (+.f64 (.f64 y (-.f64 (/.f64 (.f64 y 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 x #s(literal -2 binary64))))))) (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (-.f64 #s(literal 2 binary64) x)))))
(* -1 (/ x y))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(/ (+ (* -1 x) (* -1 (/ (* x (- 2 x)) y))) y)
(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) y)) x) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 2)) (pow y 2)))) (/ (* x (- 2 x)) y)) y)
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 x #s(literal -2 binary64)))) y) (*.f64 x (+.f64 x #s(literal -2 binary64)))) y) x) y)
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow (- 2 x) 3)) (pow y 3)))) (+ (/ (* x (- 2 x)) y) (/ (* x (pow (- 2 x) 2)) (pow y 2)))) y)
(/.f64 (-.f64 (-.f64 (/.f64 (.f64 x (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (+.f64 x #s(literal -2 binary64))))) (.f64 y (.f64 y y))) x) (/.f64 (+.f64 (.f64 x (-.f64 #s(literal 2 binary64) x)) (.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x)) (/.f64 x y))) y)) y)
(* -1 (/ x y))
(/.f64 x (-.f64 #s(literal 0 binary64) y))
(* -1 (/ (+ x (/ (* x (- 2 x)) y)) y))
(/.f64 (-.f64 (*.f64 x (/.f64 (+.f64 x #s(literal -2 binary64)) y)) x) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow (- 2 x) 2)) y)) (* x (- 2 x))) y))) y))
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 x (+.f64 x #s(literal -2 binary64)))) y) (*.f64 x (+.f64 x #s(literal -2 binary64)))) y) x) y)
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow (- 2 x) 3)) y) (* -1 (* x (pow (- 2 x) 2)))) y)) (* x (- 2 x))) y))) y))
(/.f64 (-.f64 (/.f64 (-.f64 (.f64 x (+.f64 x #s(literal -2 binary64))) (/.f64 (+.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 x (-.f64 #s(literal 2 binary64) x))) (.f64 x (/.f64 (.f64 (-.f64 #s(literal 2 binary64) x) (.f64 (-.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 2 binary64) x))) y))) y)) y) x) 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)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* x (- (* 2 (/ 1 x)) (+ 1 (/ y x))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) x)))
(* -1 (* x (+ 1 (* -1 (/ (- 2 y) x)))))
(*.f64 x (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) y) 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)
(-.f64 #s(literal 0 binary64) y)
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* y (- (* 2 (/ 1 y)) (+ 1 (/ x y))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
(* -1 (* y (+ 1 (* -1 (/ (- 2 x) y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) x) y)))
y
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
x
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* x (+ 1 (/ y x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
(* -1 (* x (- (* -1 (/ y x)) 1)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
x
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
(+ x y)
(+.f64 y x)
y
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* y (+ 1 (/ x y)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
y
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(* -1 (* y (- (* -1 (/ x y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (/.f64 #s(literal -2 binary64) y))))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (/.f64 #s(literal -2 binary64) y))))
(* x (- (+ (/ 1 x) (/ 2 (* x y))) (* 2 (/ 1 y))))
(+.f64 #s(literal 1 binary64) (.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (/.f64 #s(literal -2 binary64) y))))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) x)))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) x)))
(* -1 (* x (+ (* -1 (/ (+ 1 (* 2 (/ 1 y))) x)) (* 2 (/ 1 y)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) y)) x)))
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (+ y (* -2 x))) y)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 y (*.f64 x #s(literal -2 binary64)))) y)
(/ (+ 2 (+ y (* -2 x))) y)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 y (*.f64 x #s(literal -2 binary64)))) y)
(/ (+ 2 (+ y (* -2 x))) y)
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 y (*.f64 x #s(literal -2 binary64)))) y)
1
#s(literal 1 binary64)
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
1
#s(literal 1 binary64)
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(+ 1 (+ (* -2 (/ x y)) (* 2 (/ 1 y))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y))))
(/ 2 y)
(/.f64 #s(literal 2 binary64) y)
(+ (* -2 (/ x y)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ x y)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 #s(literal -2 binary64) y)))
(+ (* -2 (/ x y)) (* 2 (/ 1 y)))
(+.f64 (/.f64 #s(literal 2 binary64) y) (*.f64 x (/.f64 #s(literal -2 binary64) y)))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (/.f64 #s(literal -2 binary64) y)))
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (/.f64 #s(literal -2 binary64) y)))
(* x (- (* 2 (/ 1 (* x y))) (* 2 (/ 1 y))))
(.f64 x (+.f64 (/.f64 #s(literal 2 binary64) (.f64 y x)) (/.f64 #s(literal -2 binary64) y)))
(* -2 (/ x y))
(*.f64 x (/.f64 #s(literal -2 binary64) y))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (.f64 y x))))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (.f64 y x))))
(* -1 (* x (- (* 2 (/ 1 y)) (* 2 (/ 1 (* x y))))))
(.f64 (-.f64 #s(literal 0 binary64) x) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal -2 binary64) (.f64 y x))))
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
(/ (+ 2 (* -2 x)) y)
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64))) y)
2
#s(literal 2 binary64)
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(+ 2 (* -2 x))
(+.f64 #s(literal 2 binary64) (*.f64 x #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* x (- (* 2 (/ 1 x)) 2))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(* x (- (* 2 (/ 1 x)) 2))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(* x (- (* 2 (/ 1 x)) 2))
(*.f64 x (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))
(* -1 (* x (- 2 (* 2 (/ 1 x)))))
(*.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) x)))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
(* -2 x)
(*.f64 x #s(literal -2 binary64))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(* x (+ (/ 1 x) (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(/ x y)
(/.f64 x y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
(/ (+ x y) y)
(/.f64 (+.f64 y x) y)
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
1
#s(literal 1 binary64)
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))
(+ 1 (/ x y))
(+.f64 #s(literal 1 binary64) (/.f64 x y))

eval116.0ms (1.7%)

Compiler: Compiled 15513 to 1816 computations (88.3% saved)

prune81.0ms (1.2%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	749	3	752
Fresh	1	2	3
Picked	1	4	5
Done	0	1	1
Total	751	10	761

Accuracy

100.0%

Counts

761 → 10

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)))
✓	85.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
▶	58.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
▶	52.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	49.1%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	48.8%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶	13.2%	(/.f64 x #s(literal 2 binary64))
▶	43.2%	(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y)))
▶	42.8%	#s(literal 1 binary64)
✓	38.1%	#s(literal -1 binary64)

Compiler

Compiled 111 to 81 computations (27% saved)

simplify114.0ms (1.7%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

1274×	`fnmadd-define`
926×	`fmsub-define`
908×	`fnmsub-define`
850×	`fma-define`
732×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	51
1	28	50
2	41	50
3	62	50
4	102	50
5	212	50
6	605	50
7	1498	50
8	3284	50
9	4048	50
10	4406	50
11	4644	50
12	4749	50
13	4783	50
14	4807	50
15	4823	50
0	4823	50

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ (- x y) (- 2 x))
(- x y)
x
y
(- 2 x)
2
1
(/ x 2)
x
2
(/ y (+ y -2))
y
(+ y -2)
-2
(+ 1 (* x (/ -2 y)))
1
(* x (/ -2 y))
x
(/ -2 y)
-2
y

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

localize67.0ms (1%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 #s(literal -2 binary64) y)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y)))
✓	accuracy	99.7%	(*.f64 x (/.f64 #s(literal -2 binary64) y))
✓	accuracy	100.0%	(+.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))

Results

49.0ms

256×

valid

Compiler

Compiled 54 to 15 computations (72.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 20.0ms

ival-div: 12.0ms (60.1% of total)

ival-sub: 3.0ms (15% of total)

ival-add: 2.0ms (10% of total)

ival-mult: 2.0ms (10% of total)

const: 1.0ms (5% of total)

backward-pass: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts

9 → 156

Calls

Call 1

Inputs
#<alt (/ (- x y) (- 2 x))>
#<alt (- x y)>
#<alt (- 2 x)>
#<alt (/ x 2)>
#<alt (/ y (+ y -2))>
#<alt (+ y -2)>
#<alt (+ 1 (* x (/ -2 y)))>
#<alt (* x (/ -2 y))>
#<alt (/ -2 y)>

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

Calls

39 calls:

Time	Variable		Point	Expression
2.0ms	y	@	inf	(+ 1 (* x (/ -2 y)))
0.0ms	x	@	inf	(* x (/ -2 y))
0.0ms	y	@	inf	(/ (- x y) (- 2 x))
0.0ms	x	@	0	(/ (- x y) (- 2 x))
0.0ms	y	@	-inf	(/ (- x y) (- 2 x))

rewrite360.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

4424×	`-lowering-.f32`
4424×	`-lowering-.f64`
4018×	`/-lowering-/.f32`
4018×	`/-lowering-/.f64`
1586×	`+-lowering-+.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	39
1	102	38
2	756	38
0	8583	38

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 506

Calls

Call 1

Inputs
(/ (- x y) (- 2 x))
(- x y)
(- 2 x)
(/ x 2)
(/ y (+ y -2))
(+ y -2)
(+ 1 (* x (/ -2 y)))
(* x (/ -2 y))
(/ -2 y)

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

simplify248.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2340×	`-lowering-.f32`
2340×	`-lowering-.f64`
1734×	`sum4-define`
1652×	`fma-lowering-fma.f32`
1652×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	159	910
1	459	869
2	1275	851
3	4157	836
0	8205	836

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* x (- 1/2 (* 1/4 y))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/4 binary64)))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* 1/2 (* x (- 1/2 (* 1/4 y))))) (* 1/4 y))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (.f64 (+.f64 (.f64 x #s(literal 1/2 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1/2 binary64) (*.f64 y #s(literal -1/4 binary64))))))
(+ (* -1/2 y) (* x (- (+ 1/2 (* x (- (* 1/4 (* x (- 1/2 (* 1/4 y)))) (* -1/2 (- 1/2 (* 1/4 y)))))) (* 1/4 y))))
(+.f64 (.f64 #s(literal -1/2 binary64) y) (.f64 x (+.f64 #s(literal 1/2 binary64) (+.f64 (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 y #s(literal -1/4 binary64))) (.f64 (+.f64 #s(literal 1/2 binary64) (.f64 x #s(literal 1/4 binary64))) x)) (*.f64 y #s(literal -1/4 binary64))))))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(- (+ (* 2 (/ (- y 2) (pow x 2))) (/ y x)) (+ 1 (* 2 (/ 1 x))))
(+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 x x)))
(- (+ (* 4 (/ (- y 2) (pow x 3))) (/ y x)) (+ 1 (+ (* -2 (/ (- y 2) (pow x 2))) (* 2 (/ 1 x)))))
(+.f64 (/.f64 (.f64 #s(literal 4 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) (.f64 x x)) (+.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x)) (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 x x))))
-1
#s(literal -1 binary64)
(- (/ y x) (+ 1 (* 2 (/ 1 x))))
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))
(- (* -1 (/ (+ (* -2 (/ (- y 2) x)) (* -1 (- y 2))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 y #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))) x))
(- (* -1 (/ (+ (* -1 (- y 2)) (* -1 (/ (+ (* 2 (- y 2)) (* 4 (/ (- y 2) x))) x))) x)) 1)
(+.f64 #s(literal -1 binary64) (/.f64 (+.f64 (+.f64 y #s(literal -2 binary64)) (/.f64 (+.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -4 binary64)) (.f64 #s(literal 4 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) x))) x)) x))
(/ x (- 2 x))
(/.f64 x (-.f64 #s(literal 2 binary64) x))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(+ (* -1 (/ y (- 2 x))) (/ x (- 2 x)))
(+.f64 (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 x #s(literal -2 binary64))))
(* -1 (/ y (- 2 x)))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(.f64 y (+.f64 (/.f64 x (.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(.f64 y (+.f64 (/.f64 x (.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))))
(* y (- (/ x (* y (- 2 x))) (/ 1 (- 2 x))))
(.f64 y (+.f64 (/.f64 x (.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))))
(* -1 (/ y (- 2 x)))
(/.f64 y (+.f64 x #s(literal -2 binary64)))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(.f64 y (+.f64 (/.f64 x (.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(.f64 y (+.f64 (/.f64 x (.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))))
(* -1 (* y (+ (* -1 (/ x (* y (- 2 x)))) (/ 1 (- 2 x)))))
(.f64 y (+.f64 (/.f64 x (.f64 y (-.f64 #s(literal 2 binary64) x))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 2 binary64) x))))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* y (- (/ x y) 1))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(*.f64 y (+.f64 #s(literal -1 binary64) (/.f64 x y)))
2
#s(literal 2 binary64)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(+ 2 (* -1 x))
(-.f64 #s(literal 2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* x (- (* 2 (/ 1 x)) 1))
(-.f64 #s(literal 2 binary64) x)
(* -1 x)
(-.f64 #s(literal 0 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* -1 (* x (- 1 (* 2 (/ 1 x)))))
(-.f64 #s(literal 2 binary64) x)
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 x #s(literal 1/2 binary64))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* -1/4 y) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y #s(literal -1/4 binary64))))
(* y (- (* y (- (* -1/8 y) 1/4)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (+.f64 #s(literal -1/4 binary64) (*.f64 y #s(literal -1/8 binary64))))))
(* y (- (* y (- (* y (- (* -1/16 y) 1/8)) 1/4)) 1/2))
(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y (+.f64 #s(literal -1/4 binary64) (.f64 y (+.f64 #s(literal -1/8 binary64) (.f64 y #s(literal -1/16 binary64))))))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(+ 1 (+ (* 2 (/ 1 y)) (+ (* 8 (/ 1 (pow y 3))) (/ 4 (pow y 2)))))
(+.f64 (/.f64 #s(literal 2 binary64) y) (+.f64 (/.f64 #s(literal 4 binary64) (.f64 y y)) (+.f64 (/.f64 (/.f64 #s(literal 8 binary64) (.f64 y y)) y) #s(literal 1 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* 2 (/ 1 y)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y))
(+ 1 (+ (* 2 (/ 1 y)) (/ 4 (pow y 2))))
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 #s(literal 4 binary64) (*.f64 y y))))
(+ 1 (* -1 (/ (- (* -1 (/ (+ 4 (* 8 (/ 1 y))) y)) 2) y)))
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -2 binary64) (/.f64 (+.f64 #s(literal -4 binary64) (/.f64 #s(literal -8 binary64) y)) y)) y))
-2
#s(literal -2 binary64)
(- y 2)
(+.f64 y #s(literal -2 binary64))
(- y 2)
(+.f64 y #s(literal -2 binary64))
(- y 2)
(+.f64 y #s(literal -2 binary64))
y
(* y (- 1 (* 2 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
(* y (- 1 (* 2 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
(* y (- 1 (* 2 (/ 1 y))))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
y
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
(* -1 (* y (- (* 2 (/ 1 y)) 1)))
(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(* x (- (/ 1 x) (* 2 (/ 1 y))))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(* -1 (* x (- (* 2 (/ 1 y)) (/ 1 x))))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/ (+ y (* -2 x)) y)
(/.f64 (+.f64 y (*.f64 x #s(literal -2 binary64))) y)
(/ (+ y (* -2 x)) y)
(/.f64 (+.f64 y (*.f64 x #s(literal -2 binary64))) y)
(/ (+ y (* -2 x)) y)
(/.f64 (+.f64 y (*.f64 x #s(literal -2 binary64))) y)
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
1
#s(literal 1 binary64)
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(+ 1 (* -2 (/ x y)))
(-.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal 2 binary64) y)))
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(* -2 (/ x y))
(/.f64 (*.f64 x #s(literal -2 binary64)) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)
(/ -2 y)
(/.f64 #s(literal -2 binary64) y)

eval77.0ms (1.1%)

Compiler: Compiled 12592 to 1539 computations (87.8% saved)

prune159.0ms (2.4%)

Pruning

11 alts after pruning (2 fresh and 9 done)

	Pruned	Kept	Total
New	660	2	662
Fresh	0	0	0
Picked	1	4	5
Done	0	5	5
Total	661	11	672

Accuracy

100.0%

Counts

672 → 11

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)))
✓	85.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
▶	21.9%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	52.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶	11.3%	(/.f64 y #s(literal -2 binary64))
✓	49.1%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	48.8%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	13.2%	(/.f64 x #s(literal 2 binary64))
✓	43.2%	(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y)))
✓	42.8%	#s(literal 1 binary64)
✓	38.1%	#s(literal -1 binary64)

Compiler

Compiled 81 to 59 computations (27.2% saved)

simplify54.0ms (0.8%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

368×	`fnmadd-define`
254×	`fnmsub-define`
252×	`fmsub-define`
250×	`sum3-define`
240×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	12	16
2	19	16
3	31	16
4	57	16
5	100	16
6	200	16
7	353	16
8	566	16
9	842	16
10	1185	16
11	1260	16
0	1260	16

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

Inputs
(/ y -2)
y
-2
(/ (- x y) 2)
(- x y)
x
y
2

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

localize39.0ms (0.6%)

Localize:

Found 3 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(/.f64 y #s(literal -2 binary64))

Results

31.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

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

ival-div: 4.0ms (68.6% of total)

ival-sub: 1.0ms (17.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

series2.0ms (0%)

Counts

3 → 60

Calls

Call 1

Inputs
#<alt (/ y -2)>
#<alt (/ (- x y) 2)>
#<alt (- x y)>

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

Calls

15 calls:

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

rewrite420.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

2664×	`-lowering-.f32`
2664×	`-lowering-.f64`
2318×	`fma-lowering-fma.f32`
2318×	`fma-lowering-fma.f64`
1738×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	41	11
2	246	11
3	2597	11
0	8466	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 375

Calls

Call 1

Inputs
(/ y -2)
(/ (- x y) 2)
(- x y)

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

simplify123.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2000×	`sum3-define`
1642×	`fnmsub-define`
1626×	`fmsub-define`
1382×	`fma-lowering-fma.f32`
1382×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	225
1	123	225
2	351	225
3	1003	207
4	2483	207
5	5144	207
0	8065	207

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

Inputs
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(* -1/2 y)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* 1/2 x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* x (+ 1/2 (* -1/2 (/ y x))))
(* 1/2 x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(* 1/2 x)
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(+ (* -1/2 y) (* 1/2 x))
(* -1/2 y)
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* y (- (* 1/2 (/ x y)) 1/2))
(* -1/2 y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(* -1 (* y (+ 1/2 (* -1/2 (/ x 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)))))

Outputs
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* x (+ 1/2 (* -1/2 (/ y x))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* x (- (* 1/2 (/ y x)) 1/2)))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(+ (* -1/2 y) (* 1/2 x))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* y (- (* 1/2 (/ x y)) 1/2))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1/2 y)
(*.f64 #s(literal -1/2 binary64) y)
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 (* y (+ 1/2 (* -1/2 (/ x y)))))
(*.f64 #s(literal -1/2 binary64) (-.f64 y x))
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
(- x y)
(-.f64 x y)
x
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
(* x (+ 1 (* -1 (/ y x))))
(-.f64 x y)
x
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
(* -1 (* x (- (/ y x) 1)))
(-.f64 x y)
x
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(+ x (* -1 y))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* y (- (/ x y) 1))
(-.f64 x y)
(* -1 y)
(-.f64 #s(literal 0 binary64) y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)
(* -1 (* y (+ 1 (* -1 (/ x y)))))
(-.f64 x y)

eval59.0ms (0.9%)

Compiler: Compiled 12096 to 992 computations (91.8% saved)

prune109.0ms (1.6%)

Pruning

11 alts after pruning (0 fresh and 11 done)

	Pruned	Kept	Total
New	435	0	435
Fresh	0	0	0
Picked	0	2	2
Done	0	9	9
Total	435	11	446

Accuracy

100.0%

Counts

446 → 11

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)))
✓	85.6%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	21.9%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	52.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	11.3%	(/.f64 y #s(literal -2 binary64))
✓	49.1%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	48.8%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	13.2%	(/.f64 x #s(literal 2 binary64))
✓	43.2%	(+.f64 #s(literal 1 binary64) (*.f64 x (/.f64 #s(literal -2 binary64) y)))
✓	42.8%	#s(literal 1 binary64)
✓	38.1%	#s(literal -1 binary64)

Compiler

Compiled 165 to 92 computations (44.2% saved)

regimes19.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

3 calls:

10.0ms	x
5.0ms	y
4.0ms	(/.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)

regimes9.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

2 calls:

4.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
86.1%	3	`x`
89.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
75.3%	3	`x`
81.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Counts

5 → 3

Calls

Call 1

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

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

Calls

1 calls:

2.0ms

Results

Accuracy	Segments	Branch
80.6%	3	`y`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes32.0ms (0.5%)

Counts

4 → 3

Calls

Call 1

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

Outputs
#s(literal 1 binary64)
#s(literal -1 binary64)
#s(literal 1 binary64)

Calls

2 calls:

29.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
66.1%	3	`x`
70.4%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

Inputs
#s(literal -1 binary64)

Outputs
#s(literal -1 binary64)

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
38.1%	1	`x`
38.1%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch20.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	35401990060213708.0	273323834469620800.0
9.0ms	-1.7479915815104546e+45	-1.514540430319164e+43

Results

11.0ms

208×

valid

Compiler

Compiled 276 to 206 computations (25.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (38.7% of total)

ival-div: 1.0ms (19.4% of total)

ival-add: 1.0ms (19.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch23.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	2.849606854693519e-68	1.4101901205704005e-56
7.0ms	-1.6493616199095905e-22	-5.2301659641191615e-23

Results

14.0ms

240×

valid

Compiler

Compiled 256 to 191 computations (25.4% saved)

Precisions

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

ival-sub: 3.0ms (51.3% of total)

ival-div: 2.0ms (34.2% of total)

ival-add: 1.0ms (17.1% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch22.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	8.352661322690831e+58	4.904632282214889e+60
11.0ms	-1.7479915815104546e+45	-1.514540430319164e+43

Results

13.0ms

224×

valid

Compiler

Compiled 184 to 151 computations (17.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 5.0ms

ival-sub: 2.0ms (36.7% of total)

ival-div: 2.0ms (36.7% of total)

ival-add: 1.0ms (18.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

bsearch14.0ms (0.2%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	predicate-same

Steps

Time	Left	Right
8.0ms	35401990060213708.0	273323834469620800.0
5.0ms	-8.829895891199755e+40	-1.690457140008546e+39

Results

9.0ms

128×

valid

Compiler

Compiled 80 to 75 computations (6.3% saved)

Precisions

Click to see histograms. Total time spent on operations: 3.0ms

ival-sub: 1.0ms (31.4% of total)

ival-div: 1.0ms (31.4% of total)

ival-add: 1.0ms (31.4% of total)

const: 0.0ms (0% of total)

backward-pass: 0.0ms (0% of total)

simplify284.0ms (4.2%)

Algorithm

1×	egg-herbie

Rules

18×	`+-commutative_binary64`
12×	`sub-neg_binary64`
8×	`*-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	42	78
1	67	78
2	78	78
3	86	78
4	89	78

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 y #s(literal -37000000000000000887058844535446249253371904 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -2 binary64) y))) (if (<=.f64 y #s(literal 108000000000000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -2 binary64) y)))))
(if (<=.f64 y #s(literal -7316070888800177/85070591730234615865843651857942052864 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1696173182187249/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -1059999999999999982587003376278007360478248960 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 650000000000000020623426419571607803212093111514784161857536 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -10000000000000000303786028427003666890752 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 140000000000000000 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

Outputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 y #s(literal -37000000000000000887058844535446249253371904 binary64)) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -2 binary64) y))) (if (<=.f64 y #s(literal 108000000000000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (+.f64 #s(literal 1 binary64) (.f64 x (/.f64 #s(literal -2 binary64) y)))))
(if (<=.f64 y #s(literal -7316070888800177/85070591730234615865843651857942052864 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (if (<=.f64 y #s(literal 1696173182187249/3533694129556768659166595001485837031654967793751237916243212402585239552 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 y #s(literal -1059999999999999982587003376278007360478248960 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 650000000000000020623426419571607803212093111514784161857536 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 y #s(literal -10000000000000000303786028427003666890752 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 140000000000000000 binary64)) #s(literal -1 binary64) #s(literal 1 binary64)))
#s(literal -1 binary64)

soundness1.0s (15.4%)

Rules

3872×	`-lowering-.f32`
3872×	`-lowering-.f64`
3750×	`-lowering-.f32`
3750×	`-lowering-.f64`
3194×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	951
1	626	873
2	2140	795
0	8586	795
0	367	2441
1	1244	2271
2	4076	2217
0	9218	2217

Stop Event

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

Compiler

Compiled 158 to 94 computations (40.5% saved)

preprocess47.0ms (0.7%)

Compiler: Compiled 236 to 114 computations (51.7% saved)

analyze61.0ms (0.9%)

sample907.0ms (13.5%)

preprocess150.0ms (2.2%)

explain86.0ms (1.3%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify78.0ms (1.2%)

localize26.0ms (0.4%)

series5.0ms (0.1%)

rewrite413.0ms (6.2%)

simplify236.0ms (3.5%)

eval95.0ms (1.4%)

prune71.0ms (1.1%)

simplify164.0ms (2.5%)

localize122.0ms (1.8%)

series39.0ms (0.6%)

rewrite381.0ms (5.7%)

simplify312.0ms (4.7%)

eval116.0ms (1.7%)

prune81.0ms (1.2%)

simplify114.0ms (1.7%)

localize67.0ms (1%)

series9.0ms (0.1%)

rewrite360.0ms (5.4%)

simplify248.0ms (3.7%)

eval77.0ms (1.1%)

prune159.0ms (2.4%)

simplify54.0ms (0.8%)

localize39.0ms (0.6%)

series2.0ms (0%)

rewrite420.0ms (6.3%)

simplify123.0ms (1.8%)

eval59.0ms (0.9%)

prune109.0ms (1.6%)

regimes19.0ms (0.3%)

regimes9.0ms (0.1%)

regimes7.0ms (0.1%)

regimes3.0ms (0%)

regimes32.0ms (0.5%)

regimes3.0ms (0%)

bsearch20.0ms (0.3%)

bsearch23.0ms (0.3%)

bsearch22.0ms (0.3%)

bsearch14.0ms (0.2%)

simplify284.0ms (4.2%)

soundness1.0s (15.4%)

preprocess47.0ms (0.7%)

end0.0ms (0%)

Profiling