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

analyze22.0ms (0.3%)

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: 4.0ms (56.9% of total)

ival-add: 2.0ms (28.5% of total)

ival-div: 1.0ms (14.2% of total)

const: 0.0ms (0% of total)

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

sample696.0ms (10.1%)

Results

473.0ms	8253×	0	valid
0.0ms	3×	1	valid

Precisions

Click to see histograms. Total time spent on operations: 234.0ms

ival-sub: 120.0ms (51.3% of total)

ival-div: 56.0ms (23.9% of total)

ival-add: 44.0ms (18.8% of total)

const: 11.0ms (4.7% of total)

backward-pass: 2.0ms (0.9% of total)

Bogosity

preprocess139.0ms (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))

explain138.0ms (2%)

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

92.0ms

512×

valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 58.0ms

ival-sub: 41.0ms (70.6% of total)

ival-add: 13.0ms (22.4% of total)

ival-div: 3.0ms (5.2% of total)

const: 1.0ms (1.7% 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)

simplify88.0ms (1.3%)

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)

localize35.0ms (0.5%)

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

22.0ms

256×

valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

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

ival-sub: 9.0ms (72.6% of total)

ival-div: 2.0ms (16.1% of total)

ival-add: 1.0ms (8.1% of total)

const: 0.0ms (0% of total)

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

series6.0ms (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	y	@	0	(/ (- 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	x	@	-inf	(/ (- x y) (- 2 (+ x y)))

rewrite582.0ms (8.5%)

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

simplify435.0ms (6.3%)

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)))

eval98.0ms (1.4%)

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

prune84.0ms (1.2%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	539	10	549
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	539	11	550

Accuracy

100.0%

Counts

550 → 11

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	87.5%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
▶	60.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
	63.5%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
	87.4%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	48.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶	52.4%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	52.2%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
	37.3%	#s(literal 1 binary64)
▶	39.6%	#s(literal -1 binary64)

Compiler

Compiled 195 to 135 computations (30.8% saved)

simplify133.0ms (1.9%)

Algorithm

1×	egg-herbie

Localize:

Found 12 expressions of interest:

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

Rules

1792×	`sum5-define`
1768×	`fnmadd-define`
1338×	`fnmsub-define`
1322×	`fmsub-define`
1196×	`fma-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	16	76
1	37	76
2	76	76
3	191	76
4	643	76
5	1726	75
6	3982	75
7	7875	75
0	8043	75

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize108.0ms (1.6%)

Localize:

Found 12 expressions of interest:

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

Results

85.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 88 to 17 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 49.0ms

ival-sub: 37.0ms (75.3% of total)

ival-div: 10.0ms (20.4% of total)

const: 1.0ms (2% of total)

ival-add: 1.0ms (2% of total)

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

series11.0ms (0.2%)

Counts

11 → 228

Calls

Call 1

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

Calls

57 calls:

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

rewrite391.0ms (5.7%)

Algorithm

1×	batch-egg-rewrite

Rules

4594×	`/-lowering-/.f32`
4594×	`/-lowering-/.f64`
3660×	`-lowering-.f32`
3660×	`-lowering-.f64`
2034×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	123	52
2	1035	52
0	8773	52

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 698

Calls

Call 1

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

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

simplify394.0ms (5.7%)

Algorithm

1×	egg-herbie

Rules

2936×	`-lowering-.f32`
2936×	`-lowering-.f64`
2272×	`+-lowering-+.f64`
2272×	`+-lowering-+.f32`
1780×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	496	2334
1	1702	2153
2	5550	2101
0	8300	2101

Stop Event

1×	iter limit
1×	node limit

Counts

228 → 228

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

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

eval162.0ms (2.4%)

Compiler: Compiled 27305 to 2738 computations (90% saved)

prune176.0ms (2.6%)

Pruning

13 alts after pruning (8 fresh and 5 done)

	Pruned	Kept	Total
New	1177	3	1180
Fresh	0	5	5
Picked	1	4	5
Done	0	1	1
Total	1178	13	1191

Accuracy

100.0%

Counts

1191 → 13

Alt Table

Click to see full alt table

Status	Accuracy	Program
	60.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (-.f64 #s(literal 2 binary64) y))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	87.5%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	60.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
▶	63.5%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
	25.7%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
▶	87.4%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	48.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	52.4%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	52.2%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
	14.6%	(/.f64 x #s(literal 2 binary64))
▶	37.3%	#s(literal 1 binary64)
✓	39.6%	#s(literal -1 binary64)

Compiler

Compiled 187 to 131 computations (29.9% saved)

simplify123.0ms (1.8%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

2088×	`fnmadd-define`
1434×	`-lowering-.f32`
1434×	`-lowering-.f64`
1248×	`sum5-define`
1092×	`sum3-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	115
1	54	115
2	127	109
3	368	91
4	1062	91
5	2702	89
0	8149	89

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize81.0ms (1.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	accuracy	88.0%	(*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	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))
✓	accuracy	100.0%	(+.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x))))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	accuracy	88.0%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))

Results

52.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 114 to 21 computations (81.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 24.0ms

ival-div: 9.0ms (36.9% of total)

ival-sub: 7.0ms (28.7% of total)

ival-add: 5.0ms (20.5% of total)

ival-mult: 4.0ms (16.4% of total)

const: 1.0ms (4.1% of total)

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

series15.0ms (0.2%)

Counts

14 → 300

Calls

Call 1

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

75 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(/ y x)
1.0ms	x	@	0	(/ (- x y) (- 2 x))
0.0ms	x	@	-inf	(- 2 (* x (+ 1 (/ y x))))
0.0ms	x	@	0	(- 2 (* x (+ 1 (/ y x))))
0.0ms	y	@	inf	(- 2 (* x (+ 1 (/ y x))))

rewrite427.0ms (6.2%)

Algorithm

1×	batch-egg-rewrite

Rules

5088×	`/-lowering-/.f32`
5088×	`/-lowering-/.f64`
3878×	`-lowering-.f32`
3878×	`-lowering-.f64`
1724×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	86
1	161	86
2	1519	77
0	8442	77

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 579

Calls

Call 1

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

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

simplify315.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

4296×	`-lowering-.f32`
4296×	`-lowering-.f64`
3204×	`+-lowering-+.f64`
3204×	`+-lowering-+.f32`
1074×	`distribute-rgt-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	304	2529
1	983	2357
2	3182	2287
0	8339	2287

Stop Event

1×	iter limit
1×	node limit

Counts

300 → 300

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

eval158.0ms (2.3%)

Compiler: Compiled 22148 to 2360 computations (89.3% saved)

prune134.0ms (1.9%)

Pruning

14 alts after pruning (4 fresh and 10 done)

	Pruned	Kept	Total
New	991	1	992
Fresh	0	3	3
Picked	0	5	5
Done	0	5	5
Total	991	14	1005

Accuracy

100.0%

Counts

1005 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	60.7%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))) (-.f64 #s(literal 2 binary64) y))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	87.5%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	60.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
✓	63.5%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
▶	25.7%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	87.4%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	48.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶	13.7%	(/.f64 y #s(literal -2 binary64))
✓	52.4%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	52.2%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶	14.6%	(/.f64 x #s(literal 2 binary64))
✓	37.3%	#s(literal 1 binary64)
✓	39.6%	#s(literal -1 binary64)

Compiler

Compiled 118 to 83 computations (29.7% saved)

simplify97.0ms (1.4%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

920×	`fnmadd-define`
732×	`fma-define`
708×	`fma-lowering-fma.f32`
708×	`fma-lowering-fma.f64`
688×	`fnmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	45
1	27	45
2	56	45
3	130	45
4	302	45
5	687	45
6	1519	45
7	2514	45
8	3584	45
9	3899	45
10	3934	45
11	3942	45
0	3942	45

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize83.0ms (1.2%)

Localize:

Found 8 expressions of interest:

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

Results

57.0ms	255×	0	valid
1.0ms	1×	5	exit

Compiler

Compiled 57 to 14 computations (75.4% saved)

Precisions

Click to see histograms. Total time spent on operations: 38.0ms

ival-div: 22.0ms (57.6% of total)

ival-sub: 15.0ms (39.3% of total)

const: 1.0ms (2.6% of total)

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

series4.0ms (0.1%)

Counts

8 → 156

Calls

Call 1

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

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

Calls

39 calls:

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

rewrite293.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4092×	`-lowering-.f32`
4092×	`-lowering-.f64`
3874×	`/-lowering-/.f32`
3874×	`/-lowering-/.f64`
1208×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	31
1	95	31
2	600	31
3	7628	31
0	8259	31

Stop Event

1×	iter limit
1×	node limit

Counts

8 → 743

Calls

Call 1

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

Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) x)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 x #s(literal -2 binary64)))
(neg.f64 (/.f64 x #s(literal -2 binary64)))
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 x #s(literal -2 binary64))))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) x)))
(/.f64 x #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) x))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) x))
(/.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -2 binary64))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 (/.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 x #s(literal -2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64))
(*.f64 #s(literal -1/2 binary64) (-.f64 #s(literal 0 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)))
(.f64 (.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -1/2 binary64))
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1/2 binary64)))
(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 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) y))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) y))
(/.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) y))
(pow.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 #s(literal 1 binary64) (/.f64 y #s(literal -2 binary64)))
(*.f64 #s(literal -1 binary64) (/.f64 y #s(literal 2 binary64)))
(*.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 1/2 binary64))
(*.f64 #s(literal -1/2 binary64) y)
(*.f64 #s(literal -1/2 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 0 binary64) y))
(*.f64 (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -2 binary64) y) #s(literal -1/2 binary64)))
(+.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal -2 binary64)))
(+.f64 (/.f64 y #s(literal -2 binary64)) (/.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) y (/.f64 y #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (-.f64 x y))) #s(literal -1 binary64)))
(-.f64 (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal 2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) #s(literal 2 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x x) (+.f64 x y)) #s(literal 2 binary64)) (/.f64 (/.f64 (.f64 y y) (+.f64 x y)) #s(literal 2 binary64)))
(-.f64 (/.f64 (.f64 x (.f64 x x)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))) (/.f64 (.f64 y (.f64 y y)) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y))))))
(-.f64 (/.f64 (.f64 x x) (.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (.f64 y y) (.f64 #s(literal 2 binary64) (+.f64 x y))))
(-.f64 (/.f64 (.f64 x #s(literal 2 binary64)) #s(literal 4 binary64)) (/.f64 (.f64 #s(literal 2 binary64) y) #s(literal 4 binary64)))
(-.f64 (/.f64 #s(literal 2 binary64) (/.f64 #s(literal 4 binary64) x)) (/.f64 (/.f64 y (/.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 4 binary64) x)))
(-.f64 (/.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x)) #s(literal -4 binary64)) (/.f64 (.f64 y #s(literal -2 binary64)) #s(literal -4 binary64)))
(-.f64 (/.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y))))) (/.f64 (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y))))))
(-.f64 (/.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y))) (/.f64 (/.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y))))
(fma.f64 x #s(literal 1/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal 1 binary64) (/.f64 x #s(literal 2 binary64)) (/.f64 y #s(literal -2 binary64)))
(fma.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1/2 binary64) (/.f64 y #s(literal -2 binary64)))
(fma.f64 #s(literal 1/2 binary64) x (/.f64 y #s(literal -2 binary64)))
(neg.f64 (/.f64 (-.f64 x y) #s(literal -2 binary64)))
(neg.f64 (*.f64 (-.f64 y x) #s(literal 1/2 binary64)))
(neg.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 y x)))
(neg.f64 (+.f64 (/.f64 x #s(literal -2 binary64)) (/.f64 y #s(literal 2 binary64))))
(neg.f64 (/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y))))
(neg.f64 (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x))))
(/.f64 (-.f64 x y) #s(literal 2 binary64))
(/.f64 (/.f64 (-.f64 x y) #s(literal 2 binary64)) #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 4 binary64) (*.f64 #s(literal 2 binary64) (-.f64 x y))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 4 binary64) x) (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -4 binary64) (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 2 binary64) y))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) (.f64 #s(literal 1/2 binary64) (+.f64 x y)))) (-.f64 (/.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (.f64 #s(literal 1/2 binary64) (+.f64 x y)) (-.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (/.f64 (*.f64 y y) #s(literal 4 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) (/.f64 (-.f64 x y) #s(literal 2 binary64)))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 y x)))
(/.f64 (-.f64 y x) #s(literal -2 binary64))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 (-.f64 #s(literal 0 binary64) y) x)))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) (.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y x)))
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 (.f64 x x) (.f64 y y)) (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal -2 binary64) x) y)) (/.f64 #s(literal 4 binary64) x))
(/.f64 (+.f64 #s(literal 2 binary64) (.f64 (/.f64 #s(literal -2 binary64) x) y)) (.f64 (/.f64 #s(literal -2 binary64) x) #s(literal -2 binary64)))
(/.f64 (+.f64 (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) x)) (.f64 #s(literal 2 binary64) y)) #s(literal -4 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))))
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (.f64 #s(literal -2 binary64) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y)))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 (.f64 #s(literal 2 binary64) (+.f64 x y))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x y))))
(/.f64 (.f64 (+.f64 x y) (-.f64 y x)) (.f64 #s(literal -2 binary64) (+.f64 x y)))
(/.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 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 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 x x)) #s(literal 8 binary64)) (/.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (+.f64 (/.f64 (.f64 x x) #s(literal 4 binary64)) (.f64 (/.f64 y #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 2 binary64) (+.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 (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 2 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 x) #s(literal 4 binary64)) (/.f64 (.f64 y y) #s(literal 4 binary64))) (*.f64 #s(literal 1/2 binary64) (+.f64 x y)))
(/.f64 (-.f64 (.f64 x (.f64 x (.f64 x x))) (.f64 y (.f64 y (.f64 y y)))) (.f64 (.f64 #s(literal 2 binary64) (+.f64 x y)) (+.f64 (.f64 x x) (.f64 y y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/2 binary64)) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1/2 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) (/.f64 (-.f64 x y) #s(literal 2 binary64))) (+.f64 x y))
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 x y)) #s(literal 4 binary64))
(/.f64 (+.f64 (.f64 x #s(literal -2 binary64)) (.f64 #s(literal 2 binary64) y)) #s(literal -4 binary64))
(/.f64 (+.f64 (.f64 x (/.f64 #s(literal -2 binary64) y)) #s(literal 2 binary64)) (.f64 #s(literal 2 binary64) (/.f64 #s(literal -2 binary64) y)))
(/.f64 (+.f64 #s(literal -2 binary64) (/.f64 y (/.f64 x #s(literal 2 binary64)))) (*.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -2 binary64)))
(/.f64 (+.f64 (/.f64 #s(literal -2 binary64) y) (/.f64 #s(literal 2 binary64) x)) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal -2 binary64) y)))
(/.f64 (+.f64 (.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) y)) (.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 2 binary64) x) (/.f64 #s(literal 2 binary64) y)))
(/.f64 (+.f64 #s(literal 2 binary64) (*.f64 (/.f64 #s(literal 2 binary64) x) (-.f64 #s(literal 0 binary64) y))) (/.f64 #s(literal 4 binary64) x))
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(.f64 (/.f64 (+.f64 (.f64 x x) (.f64 y (+.f64 x y))) (-.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 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 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 x) (.f64 y (+.f64 x y))) (-.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x))) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (+.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(+.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) y))
(+.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64))
(+.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y))))))
(+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y))))
(-.f64 #s(literal 2 binary64) y)
(-.f64 #s(literal 0 binary64) (+.f64 y #s(literal -2 binary64)))
(-.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y)))) (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y)))))
(-.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y)))
(-.f64 (/.f64 (/.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)) (/.f64 (/.f64 (.f64 y (.f64 y y)) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)))
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(fma.f64 #s(literal -1 binary64) y #s(literal 2 binary64))
(neg.f64 (+.f64 y #s(literal -2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y #s(literal -2 binary64))) (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))))
(/.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -2 binary64))))
(/.f64 (+.f64 y #s(literal -2 binary64)) #s(literal -1 binary64))
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(/.f64 (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (-.f64 (+.f64 (.f64 y y) #s(literal 4 binary64)) (.f64 y #s(literal -2 binary64))))
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(/.f64 (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 y y) #s(literal 4 binary64)) (*.f64 y #s(literal -2 binary64)))))
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(/.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y)) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y)))
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(/.f64 (-.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 y y)))) (.f64 (+.f64 #s(literal 2 binary64) y) (+.f64 (*.f64 y y) #s(literal 4 binary64))))
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(/.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (+.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 4 binary64))))))
(/.f64 (-.f64 (.f64 #s(literal 8 binary64) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y)))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y))) (.f64 y (.f64 y y)))) (.f64 (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))))
(/.f64 (-.f64 (.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (.f64 (+.f64 #s(literal 2 binary64) y) (.f64 y y))) (.f64 (+.f64 #s(literal 2 binary64) y) (+.f64 #s(literal 2 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (+.f64 #s(literal -4 binary64) (neg.f64 (.f64 y (+.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 (+.f64 #s(literal -4 binary64) (.f64 y y)) #s(literal 1 binary64)) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 y y) #s(literal 4 binary64)) (+.f64 #s(literal 2 binary64) y)))
(/.f64 (.f64 (-.f64 #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) #s(literal 64 binary64)) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64)) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y)))))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) #s(literal 1 binary64)) (.f64 (+.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (+.f64 (.f64 y y) #s(literal 4 binary64)))) (+.f64 #s(literal 2 binary64) y)))
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(/.f64 (neg.f64 (+.f64 #s(literal -4 binary64) (*.f64 y y))) (+.f64 #s(literal 2 binary64) y))
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(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) y)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y))) (+.f64 (.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) y)) (/.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) y))) (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y))))))
(/.f64 (-.f64 (*.f64 y y) #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)))
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(/.f64 (-.f64 (.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y))) (.f64 (/.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) y)) (/.f64 (.f64 y y) (+.f64 #s(literal 2 binary64) y)))) (+.f64 (/.f64 #s(literal 4 binary64) (+.f64 #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 2 binary64) y))))
(/.f64 (.f64 (-.f64 #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 (.f64 y (.f64 y y)) (+.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64))) #s(literal 64 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y))))) (+.f64 (.f64 y (*.f64 y y)) #s(literal 8 binary64)))
(/.f64 (.f64 (-.f64 #s(literal 64 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) y))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 y y) (+.f64 (*.f64 y y) #s(literal 4 binary64)))))
(/.f64 (.f64 (-.f64 #s(literal 16 binary64) (.f64 y (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) y))) (+.f64 (*.f64 y y) #s(literal 4 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) y))
(*.f64 (-.f64 #s(literal 2 binary64) y) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal -2 binary64)))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y)))))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (.f64 y (+.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 (+.f64 (.f64 y y) #s(literal 4 binary64)) (*.f64 y #s(literal -2 binary64)))))
(.f64 (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 #s(literal 2 binary64) y)))) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) y)))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) y)) #s(literal 1 binary64)))
(.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -4 binary64) (neg.f64 (.f64 y (+.f64 #s(literal 2 binary64) y))))))
(.f64 (+.f64 #s(literal -4 binary64) (.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) y))))
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(.f64 (/.f64 (-.f64 #s(literal 8 binary64) (.f64 y (.f64 y y))) (+.f64 #s(literal 64 binary64) (.f64 (.f64 y (+.f64 #s(literal 2 binary64) y)) (.f64 (.f64 y (+.f64 #s(literal 2 binary64) y)) (.f64 y (+.f64 #s(literal 2 binary64) y)))))) (+.f64 #s(literal 16 binary64) (.f64 (.f64 y (+.f64 #s(literal 2 binary64) y)) (-.f64 (*.f64 y (+.f64 #s(literal 2 binary64) y)) #s(literal 4 binary64)))))
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(.f64 (/.f64 (-.f64 #s(literal 4 binary64) (.f64 y y)) (+.f64 (.f64 y (.f64 y y)) #s(literal 8 binary64))) (+.f64 #s(literal 4 binary64) (*.f64 y (+.f64 y #s(literal -2 binary64)))))

simplify293.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

5178×	`-lowering-.f32`
5178×	`-lowering-.f64`
2012×	`+-lowering-+.f64`
2012×	`+-lowering-+.f32`
1546×	`times-frac`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	226	1126
1	739	1059
2	2230	997
0	8400	997

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval123.0ms (1.8%)

Compiler: Compiled 21862 to 2265 computations (89.6% saved)

prune159.0ms (2.3%)

Pruning

14 alts after pruning (1 fresh and 13 done)

	Pruned	Kept	Total
New	1025	1	1026
Fresh	0	0	0
Picked	1	3	4
Done	0	10	10
Total	1026	14	1040

Accuracy

100.0%

Counts

1040 → 14

Alt Table

Click to see full alt table

Status	Accuracy	Program
	48.0%	(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 2 binary64) y))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	87.5%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	60.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
✓	63.5%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
✓	25.7%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	87.4%	(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (/.f64 y x))) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	48.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	13.7%	(/.f64 y #s(literal -2 binary64))
✓	52.4%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	52.2%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	14.6%	(/.f64 x #s(literal 2 binary64))
✓	37.3%	#s(literal 1 binary64)
✓	39.6%	#s(literal -1 binary64)

Compiler

Compiled 230 to 119 computations (48.3% saved)

regimes17.0ms (0.3%)

Counts

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

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

Calls

3 calls:

6.0ms	y
5.0ms	x
5.0ms	(/.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)

regimes11.0ms (0.2%)

Counts

10 → 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 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))

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

Calls

2 calls:

6.0ms	x
4.0ms	y

Results

Accuracy	Segments	Branch
89.1%	3	`x`
84.8%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (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 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))

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

Calls

2 calls:

4.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
84.5%	3	`y`
77.8%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts

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

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

Calls

2 calls:

4.0ms	y
3.0ms	x

Results

Accuracy	Segments	Branch
77.8%	3	`x`
73.7%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

7 → 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))

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.5%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes7.0ms (0.1%)

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

2 calls:

4.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
73.1%	3	`y`
67.0%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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:

2.0ms	y
2.0ms	x

Results

Accuracy	Segments	Branch
66.0%	3	`x`
61.1%	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	x
1.0ms	y

Results

Accuracy	Segments	Branch
39.6%	1	`y`
39.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	3257474311.3274913	1928166697733540.3
14.0ms	-1.94909852351579e+22	-4522710897877.394

Results

19.0ms

304×

valid

Compiler

Compiled 396 to 277 computations (30.1% saved)

Precisions

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

ival-sub: 3.0ms (41.2% of total)

ival-div: 2.0ms (27.4% of total)

ival-add: 2.0ms (27.4% of total)

const: 0.0ms (0% of total)

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

bsearch19.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	3.2925605294503896e+41	4.600776090656508e+42
8.0ms	-5.5184688657362073e+42	-1.2611997506093653e+42

Results

11.0ms

192×

valid

Compiler

Compiled 184 to 143 computations (22.3% saved)

Precisions

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

ival-sub: 2.0ms (43.2% of total)

ival-div: 1.0ms (21.6% of total)

ival-add: 1.0ms (21.6% of total)

const: 0.0ms (0% of total)

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

bsearch37.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	1.6919858107032203e-49	3.2574075328059148e-49
13.0ms	-2.832855796785989e-32	-2.0692179823080113e-42

Results

28.0ms

224×

valid

Compiler

Compiled 268 to 193 computations (28% saved)

Precisions

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

ival-sub: 2.0ms (36.8% of total)

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

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

const: 0.0ms (0% of total)

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

bsearch30.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
14.0ms	9.93024894879547e-97	2.068230029743103e-87
13.0ms	-2.832855796785989e-32	-2.0692179823080113e-42

Results

17.0ms

304×

valid

Compiler

Compiled 320 to 239 computations (25.3% saved)

Precisions

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

ival-sub: 3.0ms (40% of total)

ival-div: 2.0ms (26.7% of total)

ival-add: 2.0ms (26.7% of total)

const: 0.0ms (0% of total)

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

bsearch55.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
38.0ms	5.168945742032157e+43	3.5090590995924894e+51
15.0ms	-5.5184688657362073e+42	-1.2611997506093653e+42

Results

38.0ms

240×

valid

Compiler

Compiled 196 to 161 computations (17.9% saved)

Precisions

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

ival-sub: 3.0ms (50.8% of total)

ival-div: 2.0ms (33.8% of total)

ival-add: 1.0ms (16.9% of total)

const: 0.0ms (0% of total)

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

bsearch36.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
10.0ms	17658195775647513000.0	4.0606814334930514e+23
24.0ms	-1.94909852351579e+22	-4522710897877.394

Results

14.0ms

288×

valid

Compiler

Compiled 160 to 155 computations (3.1% saved)

Precisions

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

ival-sub: 3.0ms (43.7% of total)

ival-div: 2.0ms (29.1% of total)

ival-add: 1.0ms (14.6% of total)

const: 0.0ms (0% of total)

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

simplify13.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	54	116
1	84	116
2	96	116
3	104	116
4	107	116

Stop Event

1×

saturated

Calls

Call 1

Inputs
(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
(if (<=.f64 x #s(literal -850000000000000 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 1520000000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 y #s(literal -2149999999999999887601900628455299699703808 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 330000000000000003980309840017975133863936 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -4676805239458889/730750818665451459101842416358141509827966271488 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 7371860416799003/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 x #s(literal -5686995171182009/5986310706507378352962293074805895248510699696029696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 6752059925474771/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -2299999999999999994917385722103834553090048 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 299999999999999986850002958787099125333622784 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -17200000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 24000000000000000000 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 x #s(literal -850000000000000 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 1520000000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 y #s(literal -2149999999999999887601900628455299699703808 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 330000000000000003980309840017975133863936 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -4676805239458889/730750818665451459101842416358141509827966271488 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 7371860416799003/26328072917139296674479506920917608079723773850137277813577744384 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 x #s(literal -5686995171182009/5986310706507378352962293074805895248510699696029696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 6752059925474771/146783911423364576743092537299333564210980159306769991919205685720763064069663027716481187399048043939495936 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -2299999999999999994917385722103834553090048 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 299999999999999986850002958787099125333622784 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -17200000000000 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 24000000000000000000 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness496.0ms (7.2%)

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×	fuel
1×	iter limit
1×	node limit

Compiler

Compiled 213 to 113 computations (46.9% saved)

preprocess91.0ms (1.3%)

Compiler: Compiled 324 to 138 computations (57.4% saved)

analyze22.0ms (0.3%)

sample696.0ms (10.1%)

preprocess139.0ms (2%)

explain138.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify88.0ms (1.3%)

localize35.0ms (0.5%)

series6.0ms (0.1%)

rewrite582.0ms (8.5%)

simplify435.0ms (6.3%)

eval98.0ms (1.4%)

prune84.0ms (1.2%)

simplify133.0ms (1.9%)

localize108.0ms (1.6%)

series11.0ms (0.2%)

rewrite391.0ms (5.7%)

simplify394.0ms (5.7%)

eval162.0ms (2.4%)

prune176.0ms (2.6%)

simplify123.0ms (1.8%)

localize81.0ms (1.2%)

series15.0ms (0.2%)

rewrite427.0ms (6.2%)

simplify315.0ms (4.6%)

eval158.0ms (2.3%)

prune134.0ms (1.9%)

simplify97.0ms (1.4%)

localize83.0ms (1.2%)

series4.0ms (0.1%)

rewrite293.0ms (4.3%)

simplify293.0ms (4.3%)

eval123.0ms (1.8%)

prune159.0ms (2.3%)

regimes17.0ms (0.3%)

regimes11.0ms (0.2%)

regimes8.0ms (0.1%)

regimes8.0ms (0.1%)

regimes4.0ms (0.1%)

regimes7.0ms (0.1%)

regimes5.0ms (0.1%)

regimes3.0ms (0%)

bsearch32.0ms (0.5%)

bsearch19.0ms (0.3%)

bsearch37.0ms (0.5%)

bsearch30.0ms (0.4%)

bsearch55.0ms (0.8%)

bsearch36.0ms (0.5%)

simplify13.0ms (0.2%)

soundness496.0ms (7.2%)

preprocess91.0ms (1.3%)

end0.0ms (0%)

Profiling