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

analyze29.0ms (0.4%)

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: 11.0ms

ival-sub: 8.0ms (69.8% of total)

ival-add: 2.0ms (17.4% of total)

ival-div: 1.0ms (8.7% of total)

const: 0.0ms (0% of total)

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

sample1.2s (17.9%)

Results

877.0ms	8255×	0	valid
0.0ms	1×	2	valid

Precisions

Click to see histograms. Total time spent on operations: 474.0ms

ival-div: 188.0ms (39.7% of total)

ival-add: 151.0ms (31.9% of total)

ival-sub: 119.0ms (25.1% of total)

const: 13.0ms (2.7% of total)

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

Bogosity

preprocess186.0ms (2.7%)

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))

explain108.0ms (1.6%)

FPErrors

Click to see full error table

Overpredictions	Example	Example	Subexpression
0	-	-	`x`
1	(1.9831444422354816 5.548293712083655e-158)	-	`(-.f64 #s(literal 2 binary64) (+.f64 x y))`
0	-	-	`(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))`
0	-	-	`(-.f64 x y)`
0	-	-	`(+.f64 x y)`
0	-	-	`y`
0	-	-	`#s(literal 2 binary64)`

Results

78.0ms

512×

valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

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

ival-sub: 6.0ms (46% of total)

ival-div: 4.0ms (30.7% of total)

ival-add: 3.0ms (23% of total)

const: 1.0ms (7.7% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 7 computations (36.4% saved)

simplify74.0ms (1.1%)

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)

localize32.0ms (0.5%)

Localize:

Found 4 expressions of interest:

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

Results

24.0ms

256×

valid

Compiler

Compiled 26 to 8 computations (69.2% saved)

Precisions

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

ival-sub: 4.0ms (53.3% of total)

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

ival-add: 1.0ms (13.3% 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	y	@	-inf	(/ (- x y) (- 2 (+ x y)))

rewrite330.0ms (4.9%)

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

simplify286.0ms (4.2%)

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)))

eval62.0ms (0.9%)

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

prune86.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

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

Accuracy

100.0%

Counts

550 → 9

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	99.9%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
	64.1%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
	53.4%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶	48.6%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	48.3%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (-.f64 y x))
	41.3%	#s(literal 1 binary64)
▶	35.6%	#s(literal -1 binary64)

Compiler

Compiled 143 to 103 computations (28% saved)

simplify170.0ms (2.5%)

Algorithm

1×	egg-herbie

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(+.f64 (+.f64 x y) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓	cost-diff	128	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (-.f64 y x))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	cost-diff	0	(-.f64 #s(literal 2 binary64) x)
✓	cost-diff	0	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	cost-diff	0	(+.f64 x y)
✓	cost-diff	0	(+.f64 (+.f64 x y) #s(literal -2 binary64))
✓	cost-diff	0	(/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓	cost-diff	256	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

Rules

1706×	`fnmadd-define`
1644×	`fmsub-define`
1630×	`fnmsub-define`
1424×	`sum5-define`
1276×	`sum4-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	19	95
1	43	93
2	113	93
3	321	89
4	811	89
5	1572	89
6	3133	89
7	5810	89
8	7635	89
0	8026	89

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize134.0ms (2%)

Localize:

Found 13 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(+.f64 (+.f64 x y) #s(literal -2 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓	accuracy	99.8%	(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (-.f64 y x))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) (+.f64 x y))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	accuracy	100.0%	(-.f64 #s(literal 2 binary64) x)
✓	accuracy	100.0%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 #s(literal 1 binary64) (-.f64 x y))
✓	accuracy	100.0%	(/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64)))
✓	accuracy	99.9%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))

Results

74.0ms

256×

valid

Compiler

Compiled 106 to 20 computations (81.1% saved)

Precisions

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

ival-div: 11.0ms (49.9% of total)

ival-sub: 5.0ms (22.7% of total)

ival-add: 3.0ms (13.6% of total)

ival-mult: 2.0ms (9.1% of total)

const: 1.0ms (4.5% of total)

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

series38.0ms (0.6%)

Counts

11 → 240

Calls

Call 1

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

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

Calls

60 calls:

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

rewrite426.0ms (6.3%)

Algorithm

1×	batch-egg-rewrite

Rules

4432×	`/-lowering-/.f32`
4432×	`/-lowering-/.f64`
3164×	`-lowering-.f32`
3164×	`-lowering-.f64`
1792×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	19	64
1	138	60
2	1227	58
0	8404	58

Stop Event

1×	iter limit
1×	node limit

Counts

11 → 821

Calls

Call 1

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

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

simplify343.0ms (5%)

Algorithm

1×	egg-herbie

Rules

3476×	`-lowering-.f32`
3476×	`-lowering-.f64`
2998×	`+-lowering-+.f64`
2998×	`+-lowering-+.f32`
1364×	`--lowering--.f32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	709	3256
1	2478	2830
0	8559	2830

Stop Event

1×	iter limit
1×	node limit

Counts

240 → 240

Calls

Call 1

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

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

eval199.0ms (2.9%)

Compiler: Compiled 31828 to 2835 computations (91.1% saved)

prune212.0ms (3.1%)

Pruning

10 alts after pruning (5 fresh and 5 done)

	Pruned	Kept	Total
New	1323	2	1325
Fresh	0	3	3
Picked	1	4	5
Done	0	1	1
Total	1324	10	1334

Accuracy

100.0%

Counts

1334 → 10

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
▶	64.1%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
▶	53.4%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	48.6%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	48.3%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
▶	13.7%	(/.f64 x #s(literal 2 binary64))
▶	48.2%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
▶	41.3%	#s(literal 1 binary64)
✓	35.6%	#s(literal -1 binary64)

Compiler

Compiled 111 to 84 computations (24.3% saved)

simplify89.0ms (1.3%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

Rules

554×	`fnmadd-define`
476×	`fnmsub-define`
470×	`fmsub-define`
416×	`fma-lowering-fma.f32`
416×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	50
1	26	50
2	32	50
3	49	50
4	87	50
5	177	50
6	492	50
7	1173	50
8	1843	50
9	2082	50
10	2179	50
11	2229	50
12	2282	50
13	2332	50
14	2343	50
15	2357	50
16	2377	50
17	2385	50
0	2385	50

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize74.0ms (1.1%)

Localize:

Found 9 expressions of interest:

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

Results

54.0ms

256×

valid

Compiler

Compiled 54 to 16 computations (70.4% saved)

Precisions

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

ival-div: 10.0ms (60% of total)

ival-sub: 3.0ms (18% of total)

ival-add: 3.0ms (18% of total)

const: 1.0ms (6% of total)

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

series7.0ms (0.1%)

Counts

9 → 132

Calls

Call 1

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

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

33 calls:

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

rewrite354.0ms (5.2%)

Algorithm

1×	batch-egg-rewrite

Rules

4456×	`-lowering-.f32`
4456×	`-lowering-.f64`
4154×	`/-lowering-/.f32`
4154×	`/-lowering-/.f64`
1544×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	105	38
2	795	38
0	8539	38

Stop Event

1×	iter limit
1×	node limit

Counts

9 → 662

Calls

Call 1

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

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

simplify347.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

2604×	`-lowering-.f32`
2604×	`-lowering-.f64`
2422×	`fma-lowering-fma.f32`
2422×	`fma-lowering-fma.f64`
1798×	`sum3-define`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	186	867
1	577	803
2	1690	773
3	5507	772
0	8049	772

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

eval128.0ms (1.9%)

Compiler: Compiled 14891 to 1889 computations (87.3% saved)

prune162.0ms (2.4%)

Pruning

12 alts after pruning (2 fresh and 10 done)

	Pruned	Kept	Total
New	792	2	794
Fresh	0	0	0
Picked	0	5	5
Done	0	5	5
Total	792	12	804

Accuracy

100.0%

Counts

804 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	64.1%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
▶	24.8%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	53.4%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
▶	14.6%	(/.f64 y #s(literal -2 binary64))
✓	48.6%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	48.3%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	13.7%	(/.f64 x #s(literal 2 binary64))
✓	48.2%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
✓	41.3%	#s(literal 1 binary64)
✓	35.6%	#s(literal -1 binary64)

Compiler

Compiled 90 to 67 computations (25.6% saved)

simplify42.0ms (0.6%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize33.0ms (0.5%)

Localize:

Found 3 expressions of interest:

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

Results

25.0ms

256×

valid

Compiler

Compiled 19 to 8 computations (57.9% saved)

Precisions

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

ival-div: 4.0ms (55% of total)

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

const: 1.0ms (13.7% of total)

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

series2.0ms (0%)

Counts

3 → 60

Calls

Call 1

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

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

Calls

15 calls:

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

rewrite320.0ms (4.7%)

Algorithm

1×	batch-egg-rewrite

Rules

2596×	`-lowering-.f32`
2596×	`-lowering-.f64`
2382×	`fma-lowering-fma.f32`
2382×	`fma-lowering-fma.f64`
1664×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	41	11
2	248	11
3	2613	11
0	8353	11

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 373

Calls

Call 1

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

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

simplify125.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	225
1	123	225
2	351	225
3	1003	207
4	2483	207
5	5144	207
0	8069	207

Stop Event

1×	iter limit
1×	node limit

Counts

60 → 60

Calls

Call 1

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

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

eval52.0ms (0.8%)

Compiler: Compiled 12098 to 985 computations (91.9% saved)

prune59.0ms (0.9%)

Pruning

12 alts after pruning (0 fresh and 12 done)

	Pruned	Kept	Total
New	433	0	433
Fresh	0	0	0
Picked	0	2	2
Done	0	10	10
Total	433	12	445

Accuracy

100.0%

Counts

445 → 12

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	99.9%	(/.f64 (/.f64 #s(literal -1 binary64) (+.f64 (+.f64 x y) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x y)))
✓	100.0%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	64.1%	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y))
✓	24.8%	(/.f64 (-.f64 x y) #s(literal 2 binary64))
✓	53.4%	(/.f64 y (+.f64 y #s(literal -2 binary64)))
✓	14.6%	(/.f64 y #s(literal -2 binary64))
✓	48.6%	(/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))
✓	48.3%	(/.f64 x (-.f64 #s(literal 2 binary64) x))
✓	13.7%	(/.f64 x #s(literal 2 binary64))
✓	48.2%	(/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64)))
✓	41.3%	#s(literal 1 binary64)
✓	35.6%	#s(literal -1 binary64)

Compiler

Compiled 169 to 97 computations (42.6% saved)

regimes13.0ms (0.2%)

Counts

13 → 1

Calls

Call 1

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

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

Calls

3 calls:

4.0ms	y
4.0ms	x
4.0ms	(/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) (+.f64 x y)))

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes10.0ms (0.1%)

Counts

10 → 3

Calls

Call 1

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

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

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Accuracy	Segments	Branch
87.5%	3	`x`
77.1%	3	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

9 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
77.3%	3	`x`

Compiler

Compiled 3 to 2 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

2 calls:

3.0ms	x
3.0ms	y

Results

Accuracy	Segments	Branch
76.6%	3	`y`
76.9%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Accuracy	Segments	Branch
76.9%	3	`x`

Compiler

Compiled 3 to 2 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 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:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
76.4%	3	`y`
65.2%	3	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0.1%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
64.9%	3	`x`
67.8%	5	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0.1%)

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	x
1.0ms	y

Results

Accuracy	Segments	Branch
35.6%	1	`y`
35.6%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch55.0ms (0.8%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
41.0ms	7.48155205814943e+69	1.1788799075025178e+77
11.0ms	-5.3091211196875594e+79	-6.552138201711663e+76

Results

16.0ms

272×

valid

Compiler

Compiled 356 to 249 computations (30.1% saved)

Precisions

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

ival-sub: 3.0ms (43.9% of total)

ival-div: 2.0ms (29.3% of total)

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

const: 0.0ms (0% of total)

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

bsearch38.0ms (0.6%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
23.0ms	7.48155205814943e+69	1.1788799075025178e+77
13.0ms	-1.1615353695296644e-6	-1.725452304684755e-11

Results

27.0ms

288×

valid

Compiler

Compiled 340 to 245 computations (27.9% saved)

Precisions

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

ival-sub: 3.0ms (40.8% of total)

ival-div: 2.0ms (27.2% of total)

ival-add: 1.0ms (13.6% of total)

const: 0.0ms (0% of total)

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

bsearch33.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.48155205814943e+69	1.1788799075025178e+77
15.0ms	-1.1615353695296644e-6	-1.725452304684755e-11

Results

19.0ms

288×

valid

Compiler

Compiled 322 to 254 computations (21.1% saved)

Precisions

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

ival-sub: 3.0ms (41.4% of total)

ival-div: 2.0ms (27.6% of total)

ival-add: 2.0ms (27.6% of total)

const: 0.0ms (0% of total)

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

bsearch32.0ms (0.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
13.0ms	7.48155205814943e+69	1.1788799075025178e+77
15.0ms	-1.1615353695296644e-6	-1.725452304684755e-11

Results

19.0ms

288×

valid

Compiler

Compiled 304 to 227 computations (25.3% saved)

Precisions

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

ival-sub: 3.0ms (41.5% of total)

ival-div: 2.0ms (27.7% of total)

ival-add: 2.0ms (27.7% of total)

const: 0.0ms (0% of total)

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

bsearch24.0ms (0.3%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
12.0ms	1.5803809037438262e+50	2.337569656235745e+53
10.0ms	-6.051641947096722e+19	-9480814427513135000.0

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)

bsearch29.0ms (0.4%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
15.0ms	7.48155205814943e+69	1.1788799075025178e+77
11.0ms	-5.3091211196875594e+79	-6.552138201711663e+76

Results

16.0ms

272×

valid

Compiler

Compiled 152 to 147 computations (3.3% saved)

Precisions

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

ival-sub: 3.0ms (43.6% of total)

ival-div: 2.0ms (29% of total)

ival-add: 1.0ms (14.5% of total)

const: 0.0ms (0% of total)

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

simplify12.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	124
1	84	124
2	96	124
3	104	124
4	107	124

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 -889999999999999980819874019514237463754245016335951242177091384859816466841600 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 14999999999999999098963973179591768295377309770637343624215070519554538995712 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 x #s(literal -4533471823554859/37778931862957161709568 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 1900000000000000121553016427400197730235566114317911895657014687286524116992 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 x #s(literal -4061235175267895/9444732965739290427392 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (if (<=.f64 x #s(literal 350000000000000014462374518243176511777133433848878823597001091492947689472 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -1345874447617849/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 719999999999999990922812560065494956500148488933128463223546424600821760 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -26000000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 2550000000000000049174818908867944985167709540974592 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1950000000000000191397421011073062782455771999686074355410933973838314447306752 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 41000000000000002207541121209754210993319837220352808366877055282839552 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 -889999999999999980819874019514237463754245016335951242177091384859816466841600 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 14999999999999999098963973179591768295377309770637343624215070519554538995712 binary64)) (/.f64 (-.f64 x y) (-.f64 #s(literal 2 binary64) y)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 x #s(literal -4533471823554859/37778931862957161709568 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y))) (if (<=.f64 x #s(literal 1900000000000000121553016427400197730235566114317911895657014687286524116992 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) (+.f64 x y)))))
(if (<=.f64 x #s(literal -4061235175267895/9444732965739290427392 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) x) #s(literal -1 binary64))) (if (<=.f64 x #s(literal 350000000000000014462374518243176511777133433848878823597001091492947689472 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(if (<=.f64 x #s(literal -1345874447617849/4722366482869645213696 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) (if (<=.f64 x #s(literal 719999999999999990922812560065494956500148488933128463223546424600821760 binary64)) (/.f64 y (+.f64 y #s(literal -2 binary64))) (/.f64 x (-.f64 #s(literal 2 binary64) x))))
(if (<=.f64 y #s(literal -26000000000000000000 binary64)) #s(literal 1 binary64) (if (<=.f64 y #s(literal 2550000000000000049174818908867944985167709540974592 binary64)) (/.f64 x (-.f64 #s(literal 2 binary64) x)) #s(literal 1 binary64)))
(if (<=.f64 x #s(literal -1950000000000000191397421011073062782455771999686074355410933973838314447306752 binary64)) #s(literal -1 binary64) (if (<=.f64 x #s(literal 41000000000000002207541121209754210993319837220352808366877055282839552 binary64)) #s(literal 1 binary64) #s(literal -1 binary64)))
#s(literal -1 binary64)

soundness719.0ms (10.6%)

Rules

4432×	`/-lowering-/.f32`
4432×	`/-lowering-/.f64`
3872×	`-lowering-.f32`
3872×	`-lowering-.f64`
3194×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	186	951
1	626	853
2	2144	778
0	8573	778
0	19	64
1	138	60
2	1227	58
0	8404	58

Stop Event

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

Compiler

Compiled 239 to 129 computations (46% saved)

preprocess67.0ms (1%)

Compiler: Compiled 340 to 142 computations (58.2% saved)

analyze29.0ms (0.4%)

sample1.2s (17.9%)

preprocess186.0ms (2.7%)

explain108.0ms (1.6%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify74.0ms (1.1%)

localize32.0ms (0.5%)

series5.0ms (0.1%)

rewrite330.0ms (4.9%)

simplify286.0ms (4.2%)

eval62.0ms (0.9%)

prune86.0ms (1.3%)

simplify170.0ms (2.5%)

localize134.0ms (2%)

series38.0ms (0.6%)

rewrite426.0ms (6.3%)

simplify343.0ms (5%)

eval199.0ms (2.9%)

prune212.0ms (3.1%)

simplify89.0ms (1.3%)

localize74.0ms (1.1%)

series7.0ms (0.1%)

rewrite354.0ms (5.2%)

simplify347.0ms (5.1%)

eval128.0ms (1.9%)

prune162.0ms (2.4%)

simplify42.0ms (0.6%)

localize33.0ms (0.5%)

series2.0ms (0%)

rewrite320.0ms (4.7%)

simplify125.0ms (1.8%)

eval52.0ms (0.8%)

prune59.0ms (0.9%)

regimes13.0ms (0.2%)

regimes10.0ms (0.1%)

regimes4.0ms (0.1%)

regimes10.0ms (0.1%)

regimes3.0ms (0.1%)

regimes5.0ms (0.1%)

regimes4.0ms (0.1%)

regimes5.0ms (0.1%)

bsearch55.0ms (0.8%)

bsearch38.0ms (0.6%)

bsearch33.0ms (0.5%)

bsearch32.0ms (0.5%)

bsearch24.0ms (0.3%)

bsearch29.0ms (0.4%)

simplify12.0ms (0.2%)

soundness719.0ms (10.6%)

preprocess67.0ms (1%)

end0.0ms (0%)

Profiling