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

analyze60.0ms (0.7%)

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 (53.4% 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)

sample1.2s (14.2%)

Results

951.0ms	8253×	0	valid
0.0ms	2×	1	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 541.0ms

ival-add: 273.0ms (50.5% of total)

ival-sub: 195.0ms (36.1% of total)

ival-div: 57.0ms (10.5% of total)

const: 12.0ms (2.2% of total)

backward-pass: 3.0ms (0.6% of total)

Bogosity

preprocess152.0ms (1.7%)

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))

explain92.0ms (1.1%)

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

64.0ms	508×	0	valid
1.0ms	2×	2	valid
0.0ms	2×	1	valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

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

ival-sub: 7.0ms (42% of total)

ival-add: 5.0ms (30% of total)

ival-div: 4.0ms (24% of total)

const: 1.0ms (6% 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
▶	99.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify82.0ms (0.9%)

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)

localize57.0ms (0.7%)

Localize:

Found 4 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 x y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	accuracy	99.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

49.0ms	254×	0	valid
0.0ms	1×	2	valid
0.0ms	1×	1	valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 27.0ms

ival-sub: 23.0ms (84% of total)

ival-div: 3.0ms (11% of total)

ival-add: 2.0ms (7.3% of total)

const: 0.0ms (0% of total)

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

series5.0ms (0.1%)

Counts

4 → 96

Calls

Call 1

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

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

Calls

24 calls:

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

rewrite335.0ms (3.8%)

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	543	20
0	8287	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 (+.f64 x y) #s(literal -2 binary64))) 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 (neg.f64 (.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64))))) #s(literal -4 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 #s(literal 0 binary64) (+.f64 x (+.f64 y #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 (+.f64 x y) #s(literal -2 binary64))) (-.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 (+.f64 x y) #s(literal -2 binary64))) (-.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))))
(-.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))))
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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 (neg.f64 (.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64))))) #s(literal -4 binary64))))
(.f64 (+.f64 #s(literal -4 binary64) (.f64 (+.f64 x y) (+.f64 x y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (+.f64 y #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 (.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64)))) (+.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 (.f64 (+.f64 x y) (+.f64 x (+.f64 y #s(literal 2 binary64)))) (+.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))))))
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(+.f64 x y)
(+.f64 y x)
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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 x) (.f64 y y)) (-.f64 x y))
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(/.f64 (-.f64 (.f64 y y) (.f64 x x)) (-.f64 y x))
(/.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.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 y y) (.f64 x (-.f64 x y))) (+.f64 (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x)))))))
(/.f64 (-.f64 (.f64 x (.f64 (.f64 x x) (.f64 x (.f64 x x)))) (.f64 y (.f64 (.f64 y y) (.f64 y (.f64 y y))))) (.f64 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y)))))
(/.f64 (-.f64 (.f64 x (.f64 (.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 (.f64 y 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)))
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(/.f64 (-.f64 (.f64 (.f64 x x) (-.f64 x y)) (.f64 (-.f64 x y) (.f64 y y))) (*.f64 (-.f64 x y) (-.f64 x y)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))))) (+.f64 (.f64 y y) (.f64 x (-.f64 x y))))
(/.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 y y) (.f64 x (-.f64 x y))))))
(/.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 y y) (.f64 x (-.f64 x y))))
(/.f64 (-.f64 (pow.f64 (/.f64 (.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (+.f64 (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (.f64 x x) (-.f64 x y))) (+.f64 (.f64 (/.f64 (.f64 y y) (-.f64 x y)) (/.f64 (.f64 y y) (-.f64 x y))) (.f64 (/.f64 (.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))))))
(/.f64 (-.f64 (.f64 x (.f64 x x)) (.f64 y (-.f64 #s(literal 0 binary64) (.f64 y y)))) (+.f64 (.f64 y y) (.f64 x (-.f64 x y))))
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(/.f64 (.f64 (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y))) #s(literal 1 binary64)) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y))))
(/.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y))))
(/.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 x (.f64 (.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 y y) (*.f64 x (-.f64 x y)))))
(/.f64 (.f64 (+.f64 (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 (.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 y y) (.f64 x (-.f64 x y))))) (+.f64 (.f64 (.f64 y (.f64 y y)) (-.f64 (.f64 y (.f64 y y)) (.f64 x (.f64 x x)))) (.f64 x (.f64 (.f64 x x) (.f64 x (*.f64 x x))))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 (.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 y y) (.f64 x (-.f64 x y))))) (-.f64 (.f64 x (.f64 x x)) (.f64 y (*.f64 y y))))
(/.f64 (.f64 (-.f64 (.f64 x (.f64 (.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 (.f64 y 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 y y) (*.f64 x (-.f64 x y)))))
(.f64 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (/.f64 (+.f64 x y) (+.f64 (.f64 y y) (*.f64 x (-.f64 x y)))))
(.f64 (+.f64 (.f64 y y) (.f64 x (-.f64 x y))) (.f64 (+.f64 x y) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (-.f64 x y))))))
(.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 y y) (*.f64 x (-.f64 x y))))))
(.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 y y) (.f64 x (-.f64 x y)))) (+.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) (-.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) #s(literal 1 binary64)) #s(literal 1 binary64))
(.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 y y) (*.f64 x (-.f64 x y)))))
(.f64 (.f64 #s(literal 1 binary64) (+.f64 (.f64 x (.f64 x x)) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 (.f64 y y) (.f64 x (-.f64 x y)))))
(.f64 (.f64 #s(literal 1 binary64) (.f64 (/.f64 (+.f64 x y) (+.f64 (.f64 x x) (.f64 y (+.f64 x y)))) #s(literal 1 binary64))) (+.f64 (.f64 x x) (*.f64 y (+.f64 x y))))
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(.f64 (/.f64 (-.f64 (.f64 x x) (.f64 y y)) (-.f64 (.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 x (.f64 (.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 x (.f64 x (.f64 x x))) (.f64 y (.f64 (-.f64 y x) (.f64 y (-.f64 y x)))))) (-.f64 (.f64 x x) (*.f64 y (-.f64 y x))))

simplify257.0ms (2.9%)

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	853
2	2144	778
0	8573	778

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

eval122.0ms (1.4%)

Compiler: Compiled 15566 to 1552 computations (90% saved)

prune74.0ms (0.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	535	14	549
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	535	15	550

Accuracy

100.0%

Counts

550 → 15

Alt Table

Click to see full alt table

Status	Accuracy	Program
	58.3%	(/.f64 (-.f64 x y) (/.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 x y) (+.f64 x y))) (+.f64 x (+.f64 y #s(literal 2 binary64)))))
✓	99.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	87.4%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
▶	86.7%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
▶	64.1%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
	60.7%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
▶	53.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
	48.0%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	47.8%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))
	89.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) x)) (.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (+.f64 x y)))) (.f64 (+.f64 (/.f64 (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) x)) (.f64 (/.f64 y (-.f64 #s(literal 2 binary64) (+.f64 x y))) (*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (+.f64 x y)))) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y))))))
	37.3%	(+.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64))
	39.0%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) x)) y))
	38.6%	#s(literal 1 binary64)
▶	36.5%	#s(literal -1 binary64)

Compiler

Compiled 447 to 235 computations (47.4% saved)

simplify191.0ms (2.2%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

1608×	`/-lowering-/.f32`
1608×	`/-lowering-/.f64`
1558×	`-lowering-.f32`
1558×	`-lowering-.f64`
1356×	`fnmsub-define`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	20	94
1	56	94
2	126	92
3	357	92
4	1038	92
5	2744	89
6	7627	89
0	8074	89

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize101.0ms (1.2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	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	99.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	accuracy	87.2%	(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))
✓	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 y #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x y)) (-.f64 x y)))

Results

70.0ms	254×	0	valid
2.0ms	1×	5	exit
1.0ms	1×	1	valid

Compiler

Compiled 109 to 21 computations (80.7% saved)

Precisions

Click to see histograms. Total time spent on operations: 25.0ms

ival-div: 11.0ms (43.6% of total)

ival-sub: 6.0ms (23.8% of total)

ival-add: 5.0ms (19.8% of total)

ival-mult: 2.0ms (7.9% of total)

const: 1.0ms (4% of total)

backward-pass: 1.0ms (4% of total)

series15.0ms (0.2%)

Counts

13 → 276

Calls

Call 1

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

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

Calls

69 calls:

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

rewrite372.0ms (4.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4802×	`/-lowering-/.f32`
4802×	`/-lowering-/.f64`
3812×	`-lowering-.f32`
3812×	`-lowering-.f64`
1942×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	82
1	165	81
2	1552	72
0	8723	72

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 708

Calls

Call 1

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

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

simplify324.0ms (3.7%)

Algorithm

1×	egg-herbie

Rules

2626×	`-lowering-.f32`
2626×	`-lowering-.f64`
2174×	`+-lowering-+.f64`
2174×	`+-lowering-+.f32`
1712×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	417	2940
1	1429	2632
2	4922	2530
0	8078	2530

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval180.0ms (2.1%)

Compiler: Compiled 26583 to 2904 computations (89.1% saved)

prune166.0ms (1.9%)

Pruning

18 alts after pruning (13 fresh and 5 done)

	Pruned	Kept	Total
New	1096	8	1104
Fresh	4	5	9
Picked	1	4	5
Done	0	1	1
Total	1101	18	1119

Accuracy

100.0%

Counts

1119 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	87.4%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	86.7%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
✓	64.1%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
	60.7%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
	26.2%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	53.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
	15.8%	(/.f64 y #s(literal -2 binary64))
	48.0%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	47.8%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶	53.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
▶	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (/.f64 x (-.f64 x y))))
	37.3%	(-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal 1 binary64))
▶	39.0%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
	15.5%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y #s(literal -1/4 binary64))))
	13.8%	(*.f64 x #s(literal 1/2 binary64))
▶	38.6%	#s(literal 1 binary64)
✓	36.5%	#s(literal -1 binary64)

Compiler

Compiled 279 to 199 computations (28.7% saved)

simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

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

Rules

2070×	`sum3-define`
1946×	`fnmsub-define`
1934×	`fmsub-define`
1594×	`fmm-def`
1554×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	105
1	45	105
2	91	101
3	209	101
4	563	101
5	1718	101
6	4931	101
0	8106	101

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize144.0ms (1.7%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x x))
✓	accuracy	100.0%	(+.f64 x x)
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 2 binary64) (+.f64 x x)) y)
✓	accuracy	100.0%	(+.f64 y #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 (+.f64 y #s(literal -2 binary64)) y)
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) 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) y)
✓	accuracy	100.0%	(-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (/.f64 x (-.f64 x y)))
✓	accuracy	100.0%	(/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y))
✓	accuracy	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (/.f64 x (-.f64 x y))))

Results

117.0ms	255×	0	valid
1.0ms	1×	2	valid

Compiler

Compiled 110 to 21 computations (80.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 64.0ms

ival-div: 46.0ms (72.4% of total)

ival-sub: 13.0ms (20.4% of total)

ival-add: 4.0ms (6.3% of total)

const: 1.0ms (1.6% of total)

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

series24.0ms (0.3%)

Counts

13 → 216

Calls

Call 1

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

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

Calls

54 calls:

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

rewrite319.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

3496×	`/-lowering-/.f32`
3496×	`/-lowering-/.f64`
1872×	`-lowering-.f32`
1872×	`-lowering-.f64`
1248×	`prod-diff`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	75
1	178	74
2	1896	60
0	9058	60

Stop Event

1×	iter limit
1×	node limit

Counts

13 → 548

Calls

Call 1

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

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

simplify417.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

4290×	`+-lowering-+.f64`
4290×	`+-lowering-+.f32`
3504×	`-lowering-.f32`
3504×	`-lowering-.f64`
2280×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	628	3353
1	2137	2958
2	7579	2929
0	8011	2929

Stop Event

1×	iter limit
1×	node limit

Counts

216 → 216

Calls

Call 1

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

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

eval112.0ms (1.3%)

Compiler: Compiled 17460 to 2386 computations (86.3% saved)

prune119.0ms (1.4%)

Pruning

18 alts after pruning (10 fresh and 8 done)

	Pruned	Kept	Total
New	761	3	764
Fresh	1	7	8
Picked	1	4	5
Done	1	4	5
Total	764	18	782

Accuracy

100.0%

Counts

782 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	87.4%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	86.7%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
	60.7%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
	26.2%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
▶	3.2%	(/.f64 (*.f64 x #s(literal -2 binary64)) y)
✓	53.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
	15.8%	(/.f64 y #s(literal -2 binary64))
▶	48.0%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	47.8%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶	13.8%	(/.f64 x #s(literal 2 binary64))
✓	53.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
✓	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (/.f64 x (-.f64 x y))))
	37.3%	(-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal 1 binary64))
	39.1%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y))
▶	15.5%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y #s(literal -1/4 binary64))))
✓	38.6%	#s(literal 1 binary64)
✓	36.5%	#s(literal -1 binary64)

Compiler

Compiled 244 to 176 computations (27.9% saved)

simplify140.0ms (1.6%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	cost-diff	0	(*.f64 y #s(literal -1/4 binary64))
✓	cost-diff	0	(+.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal -1/4 binary64)))
✓	cost-diff	0	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y #s(literal -1/4 binary64))))
✓	cost-diff	0	(*.f64 x #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 (*.f64 x #s(literal -2 binary64)) y)
✓	cost-diff	0	(/.f64 x #s(literal 2 binary64))
✓	cost-diff	0	(-.f64 x y)
✓	cost-diff	256	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))
✓	cost-diff	256	(-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	cost-diff	256	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))

Rules

2016×	`sum3-define`
1538×	`fmsub-define`
1448×	`fnmsub-define`
1362×	`fma-lowering-fma.f32`
1362×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	22	104
1	58	102
2	125	97
3	325	82
4	827	82
5	1888	81
6	4855	81
0	8103	81

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize193.0ms (2.2%)

Localize:

Found 13 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 (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	accuracy	100.0%	(+.f64 #s(literal -1/2 binary64) (*.f64 y #s(literal -1/4 binary64)))
✓	accuracy	100.0%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y #s(literal -1/4 binary64))))
✓	accuracy	100.0%	(*.f64 y #s(literal -1/4 binary64))
✓	accuracy	100.0%	(/.f64 (*.f64 x #s(literal -2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal -2 binary64))
✓	accuracy	100.0%	(/.f64 x #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 #s(literal 1 binary64) (/.f64 x y))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y))))
✓	accuracy	99.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	accuracy	87.9%	(*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))

Results

141.0ms	254×	0	valid
2.0ms	1×	5	exit
1.0ms	1×	1	valid

Compiler

Compiled 99 to 23 computations (76.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 87.0ms

ival-div: 68.0ms (78.1% of total)

ival-mult: 10.0ms (11.5% of total)

ival-sub: 4.0ms (4.6% of total)

ival-add: 4.0ms (4.6% of total)

const: 1.0ms (1.1% of total)

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

series14.0ms (0.2%)

Counts

14 → 276

Calls

Call 1

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

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

Calls

69 calls:

Time	Variable		Point	Expression
2.0ms	y	@	-inf	(/ x (- 2 (+ x y)))
0.0ms	y	@	inf	(* y (+ -1/2 (* y -1/4)))
0.0ms	x	@	inf	(/ (* x -2) y)
0.0ms	x	@	inf	(/ x (- 2 (+ x y)))
0.0ms	y	@	-inf	(- 2 (* y (+ 1 (/ x y))))

rewrite957.0ms (11%)

Algorithm

1×	batch-egg-rewrite

Rules

4414×	`/-lowering-/.f32`
4414×	`/-lowering-/.f64`
3298×	`-lowering-.f32`
3298×	`-lowering-.f64`
2048×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	78
1	156	76
2	1340	67
0	8222	67

Stop Event

1×	iter limit
1×	node limit

Counts

14 → 447

Calls

Call 1

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

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

simplify270.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

3438×	`-lowering-.f32`
3438×	`-lowering-.f64`
2560×	`+-lowering-+.f64`
2560×	`+-lowering-+.f32`
1202×	`distribute-lft-in`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	310	2097
1	1052	1925
2	3559	1872
0	8579	1872

Stop Event

1×	iter limit
1×	node limit

Counts

276 → 276

Calls

Call 1

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

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

eval92.0ms (1.1%)

Compiler: Compiled 15427 to 1724 computations (88.8% saved)

prune74.0ms (0.8%)

Pruning

18 alts after pruning (5 fresh and 13 done)

	Pruned	Kept	Total
New	723	0	723
Fresh	0	5	5
Picked	0	5	5
Done	0	8	8
Total	723	18	741

Accuracy

100.0%

Counts

741 → 18

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	87.4%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) (/.f64 x y)))))
✓	86.7%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 y x)))))
	60.7%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x))
	26.2%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	3.2%	(/.f64 (*.f64 x #s(literal -2 binary64)) y)
✓	53.1%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
	15.8%	(/.f64 y #s(literal -2 binary64))
✓	48.0%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	47.8%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	13.8%	(/.f64 x #s(literal 2 binary64))
✓	53.1%	(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal -2 binary64)) y))
✓	99.9%	(/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (-.f64 #s(literal 2 binary64) y) (-.f64 x y)) (/.f64 x (-.f64 x y))))
	37.3%	(-.f64 (/.f64 (+.f64 (*.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal 1 binary64))
	39.1%	(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y))
✓	15.5%	(.f64 y (+.f64 #s(literal -1/2 binary64) (.f64 y #s(literal -1/4 binary64))))
✓	38.6%	#s(literal 1 binary64)
✓	36.5%	#s(literal -1 binary64)

Compiler

Compiled 432 to 193 computations (55.3% saved)

regimes26.0ms (0.3%)

Counts

26 → 1

Calls

Call 1

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

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

Calls

3 calls:

9.0ms	x
8.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
8.0ms	y

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes14.0ms (0.2%)

Counts

19 → 3

Calls

Call 1

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

Outputs

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

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

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

Calls

2 calls:

6.0ms	x
6.0ms	y

Results

Accuracy	Segments	Branch
89.8%	3	`x`
86.5%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts

17 → 3

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Accuracy	Segments	Branch
89.4%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

14 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	x
5.0ms	y

Results

Accuracy	Segments	Branch
86.3%	3	`y`
79.1%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes11.0ms (0.1%)

Counts

13 → 3

Calls

Call 1

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

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
79.0%	3	`x`
73.9%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Accuracy	Segments	Branch
78.7%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes6.0ms (0.1%)

Counts

6 → 3

Calls

Call 1

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

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
73.0%	3	`y`
64.5%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

Counts

5 → 3

Calls

Call 1

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

Results

Accuracy	Segments	Branch
64.2%	3	`x`
62.2%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (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:

3.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
36.5%	1	`y`
36.5%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch33.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
17.0ms	70331707.8074057	1.678692739805837e+34
13.0ms	-5.379451704178555e+28	-1.436382641979677e+19

Results

18.0ms

320×

valid

Compiler

Compiled 456 to 351 computations (23% saved)

Precisions

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

ival-sub: 3.0ms (38.1% of total)

ival-div: 2.0ms (25.4% of total)

ival-add: 2.0ms (25.4% of total)

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
21.0ms	70331707.8074057	1.678692739805837e+34
14.0ms	-3.40222557368166e+18	-7789208224279462.0

Results

23.0ms

304×

valid

Compiler

Compiled 396 to 277 computations (30.1% saved)

Precisions

Click to see histograms. Total time spent on operations: 13.0ms

ival-sub: 9.0ms (68.3% of total)

ival-div: 2.0ms (15.2% of total)

ival-add: 2.0ms (15.2% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	0.0566487929337972	0.7661249132357194
12.0ms	-6.168358247250718e+24	-6.61294270620358e+21

Results

17.0ms

224×

valid

Compiler

Compiled 284 to 209 computations (26.4% saved)

Precisions

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

ival-sub: 2.0ms (36.6% of total)

ival-div: 1.0ms (18.3% of total)

ival-add: 1.0ms (18.3% of total)

const: 0.0ms (0% of total)

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

bsearch26.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.89859960621618e-23	2.4098972024123665e-22
17.0ms	-5.379451704178555e+28	-1.436382641979677e+19

Results

17.0ms

224×

valid

Compiler

Compiled 268 to 193 computations (28% saved)

Precisions

Click to see histograms. Total time spent on operations: 10.0ms

ival-sub: 7.0ms (72.1% of total)

ival-div: 2.0ms (20.6% of total)

ival-add: 1.0ms (10.3% of total)

const: 0.0ms (0% of total)

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

bsearch25.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
7.0ms	7.89859960621618e-23	2.4098972024123665e-22
16.0ms	-5.379451704178555e+28	-1.436382641979677e+19

Results

16.0ms

224×

valid

Compiler

Compiled 204 to 161 computations (21.1% saved)

Precisions

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

ival-sub: 3.0ms (52.5% of total)

ival-div: 2.0ms (35% of total)

ival-add: 1.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

bsearch29.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	1.5027355199838353e+63	9.217488514894003e+63
18.0ms	-6.168358247250718e+24	-6.61294270620358e+21

Results

13.0ms

224×

valid

Compiler

Compiled 184 to 151 computations (17.9% saved)

Precisions

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

ival-sub: 3.0ms (52.4% of total)

ival-div: 2.0ms (34.9% of total)

ival-add: 1.0ms (17.5% of total)

const: 0.0ms (0% of total)

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

bsearch34.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
16.0ms	70331707.8074057	1.678692739805837e+34
16.0ms	-5.379451704178555e+28	-1.436382641979677e+19

Results

21.0ms

320×

valid

Compiler

Compiled 176 to 171 computations (2.8% saved)

Precisions

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

ival-sub: 4.0ms (50.4% of total)

ival-div: 2.0ms (25.2% of total)

ival-add: 2.0ms (25.2% of total)

const: 0.0ms (0% of total)

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

simplify15.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

24×	`+-commutative_binary64`
14×	`sub-neg_binary64`
10×	`*-commutative_binary64`
8×	`if-if-or-not_binary32`
6×	`neg-sub0_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	67	157
1	96	157
2	108	157
3	116	157
4	119	157

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 -33000000000000001056964608 binary64)) (+.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64)) (if (<=.f64 x #s(literal 14500000000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -930000000000000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 185000000000000000000 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 -131999999999999991611392 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) (if (<=.f64 y #s(literal 3422735716801577/9007199254740992 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -45000000000000000000 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 4253529586511731/42535295865117307932921825928971026432 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 x #s(literal -4600000000000000116098334720 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 1754580954436089/10633823966279326983230456482242756608 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -20999999999999997902848 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 2500000000000000053301047523635992180753144678169912366935834624 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -24999999999999997902848 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 32500000000000000 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 -33000000000000001056964608 binary64)) (+.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64)) (if (<=.f64 x #s(literal 14500000000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (+.f64 (/.f64 (+.f64 (.f64 y #s(literal 2 binary64)) #s(literal -2 binary64)) x) #s(literal -1 binary64))))
(if (<=.f64 x #s(literal -930000000000000000 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 185000000000000000000 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 -131999999999999991611392 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 x #s(literal -2 binary64)) y)) (if (<=.f64 y #s(literal 3422735716801577/9007199254740992 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) x)) (/.f64 y (+.f64 y #s(literal -2 binary64)))))
(if (<=.f64 x #s(literal -45000000000000000000 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 4253529586511731/42535295865117307932921825928971026432 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 x #s(literal -4600000000000000116098334720 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 1754580954436089/10633823966279326983230456482242756608 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -20999999999999997902848 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 2500000000000000053301047523635992180753144678169912366935834624 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -24999999999999997902848 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 32500000000000000 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness1.5s (17.3%)

Rules

4698×	`-lowering-.f32`
4698×	`-lowering-.f64`
4290×	`+-lowering-+.f64`
4290×	`+-lowering-+.f32`
4208×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	628	3353
1	2137	2958
2	7579	2929
0	8011	2929
0	7	20
1	56	20
2	543	20
0	8287	20
0	186	951
1	626	853
2	2144	778
0	8573	778
0	417	2940
1	1429	2632
2	4922	2530
0	8078	2530

Stop Event

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

Compiler

Compiled 321 to 176 computations (45.2% saved)

preprocess63.0ms (0.7%)

Compiler: Compiled 402 to 164 computations (59.2% saved)

analyze60.0ms (0.7%)

sample1.2s (14.2%)

preprocess152.0ms (1.7%)

explain92.0ms (1.1%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify82.0ms (0.9%)

localize57.0ms (0.7%)

series5.0ms (0.1%)

rewrite335.0ms (3.8%)

simplify257.0ms (2.9%)

eval122.0ms (1.4%)

prune74.0ms (0.8%)

simplify191.0ms (2.2%)

localize101.0ms (1.2%)

series15.0ms (0.2%)

rewrite372.0ms (4.3%)

simplify324.0ms (3.7%)

eval180.0ms (2.1%)

prune166.0ms (1.9%)

simplify140.0ms (1.6%)

localize144.0ms (1.7%)

series24.0ms (0.3%)

rewrite319.0ms (3.7%)

simplify417.0ms (4.8%)

eval112.0ms (1.3%)

prune119.0ms (1.4%)

simplify140.0ms (1.6%)

localize193.0ms (2.2%)

series14.0ms (0.2%)

rewrite957.0ms (11%)

simplify270.0ms (3.1%)

eval92.0ms (1.1%)

prune74.0ms (0.8%)

regimes26.0ms (0.3%)

regimes14.0ms (0.2%)

regimes7.0ms (0.1%)

regimes11.0ms (0.1%)

regimes11.0ms (0.1%)

regimes6.0ms (0.1%)

regimes6.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0%)

bsearch33.0ms (0.4%)

bsearch38.0ms (0.4%)

bsearch26.0ms (0.3%)

bsearch26.0ms (0.3%)

bsearch25.0ms (0.3%)

bsearch29.0ms (0.3%)

bsearch34.0ms (0.4%)

simplify15.0ms (0.2%)

soundness1.5s (17.3%)

preprocess63.0ms (0.7%)

end0.0ms (0%)

Profiling