Metrics for Linear.Projection:inversePerspective from linear-1.19.1.3, C

analyze30.0ms (0.7%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
25%	25%	74.9%	0.1%	0%	0%	0%	3
37.5%	37.5%	62.4%	0.1%	0%	0%	0%	4
56.3%	56.2%	43.7%	0.1%	0%	0%	0%	5
65.6%	65.6%	34.3%	0.1%	0%	0%	0%	6
76.6%	76.5%	23.4%	0.1%	0%	0%	0%	7
82%	82%	18%	0.1%	0%	0%	0%	8
87.9%	87.8%	12.1%	0.1%	0%	0%	0%	9
90.8%	90.7%	9.2%	0.1%	0%	0%	0%	10
93.8%	93.8%	6.1%	0.1%	0%	0%	0%	11
95.4%	95.3%	4.6%	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: 9.0ms

ival-mult: 5.0ms (53.4% of total)

ival-div: 2.0ms (21.4% of total)

ival-add: 2.0ms (21.4% of total)

const: 0.0ms (0% of total)

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

sample868.0ms (21.2%)

Results

589.0ms

8256×

valid

Precisions

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

ival-mult: 150.0ms (49.4% of total)

ival-add: 76.0ms (25% of total)

ival-div: 64.0ms (21.1% of total)

const: 11.0ms (3.6% of total)

backward-pass: 3.0ms (1% of total)

Bogosity

preprocess53.0ms (1.3%)

Algorithm

2×	egg-herbie

Rules

1778×	`div-sub`
832×	`distribute-rgt-in`
832×	`distribute-lft-in`
826×	`fnmadd-define`
696×	`fmsub-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	60
1	67	54
2	215	54
3	872	54
4	3073	44
0	7	9
1	14	9
2	28	9
3	42	9
4	43	9
0	43	9

Stop Event

1×	iter limit
1×	saturated
1×	node limit

Calls

Call 1

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

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

Call 2

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

Outputs
(/ (+ x y) (* (* x 2) y))
(- (/ 1/2 y) (recip (* x -2)))
(/ (+ (neg x) y) (* (* (neg x) 2) y))
(- (/ 1/2 y) (/ 1/2 x))
(/ (+ x (neg y)) (* (* x 2) (neg y)))
(- (/ -1/2 y) (/ -1/2 x))
(neg (/ (+ (neg x) y) (* (* (neg x) 2) y)))
(- (/ -1/2 y) (/ -1/2 x))
(neg (/ (+ x (neg y)) (* (* x 2) (neg y))))
(- (/ 1/2 y) (/ 1/2 x))
(/ (+ y x) (* (* y 2) x))
(- (/ 1/2 y) (recip (* x -2)))

Symmetry

(sort x y)

explain71.0ms (1.7%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
73	-	3	(1.9501184916708196e-279 7.656275377167614e-42)	`(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))`
0	-	0	-	`x`
0	-	0	-	`(.f64 (.f64 x #s(literal 2 binary64)) y)`
0	-	0	-	`(+.f64 x y)`
0	-	0	-	`y`
0	-	0	-	`(*.f64 x #s(literal 2 binary64))`
0	-	0	-	`#s(literal 2 binary64)`

Results

38.0ms

512×

valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-mult: 8.0ms (50.5% of total)

ival-div: 4.0ms (25.3% of total)

ival-add: 4.0ms (25.3% of total)

const: 1.0ms (6.3% 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
▶	89.6%	(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y)
▶	73.6%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 8 expressions of interest:

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

Rules

38×	`/-lowering-/.f32`
38×	`/-lowering-/.f64`
26×	`associate-/r*`
24×	`-lowering-.f32`
24×	`-lowering-.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	50
1	20	50
2	33	50
3	45	50
4	46	50
0	46	50

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize44.0ms (1.1%)

Localize:

Found 8 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) x)
✓	accuracy	89.6%	(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(.f64 (.f64 x #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(*.f64 x #s(literal 2 binary64))
✓	accuracy	73.6%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

31.0ms

256×

valid

Compiler

Compiled 53 to 11 computations (79.2% saved)

Precisions

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

ival-div: 7.0ms (53.8% of total)

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

ival-add: 2.0ms (15.4% of total)

const: 0.0ms (0% of total)

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

series23.0ms (0.6%)

Counts

7 → 156

Calls

Call 1

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

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

Calls

39 calls:

Time	Variable		Point	Expression
11.0ms	x	@	0	(/ (+ x y) (* (* x 2) y))
2.0ms	x	@	-inf	(* x 2)
1.0ms	y	@	inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	-inf	(/ (+ x y) (* (* x 2) y))
1.0ms	x	@	inf	(/ (+ x y) (* (* x 2) y))

rewrite465.0ms (11.4%)

Algorithm

1×	batch-egg-rewrite

Rules

3088×	`-lowering-.f32`
3088×	`-lowering-.f64`
2860×	`/-lowering-/.f32`
2860×	`/-lowering-/.f64`
2410×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	41
1	63	41
2	454	41
3	5059	41
0	8115	41

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 909

Calls

Call 1

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

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

simplify180.0ms (4.4%)

Algorithm

1×	egg-herbie

Rules

2278×	`-lowering-.f32`
2278×	`-lowering-.f64`
1888×	`sum4-define`
1556×	`times-frac`
1026×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	822
1	125	786
2	251	786
3	655	732
4	2957	732
5	7310	732
0	8218	732

Stop Event

1×	iter limit
1×	node limit

Counts

156 → 156

Calls

Call 1

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

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

eval206.0ms (5%)

Compiler: Compiled 23097 to 1966 computations (91.5% saved)

prune95.0ms (2.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	1180	3	1183
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	1181	4	1185

Accuracy

100.0%

Counts

1185 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y)
▶	47.3%	(/.f64 #s(literal 1/2 binary64) y)
▶	53.4%	(/.f64 #s(literal 1/2 binary64) x)
▶	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 30 to 21 computations (30% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 5 expressions of interest:

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

Rules

4×	`+-lowering-+.f64`
4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`
4×	`+-lowering-+.f32`
2×	`+-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	26
1	7	26
0	7	26

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize42.0ms (1%)

Localize:

Found 5 expressions of interest:

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

Results

32.0ms

256×

valid

Compiler

Compiled 29 to 7 computations (75.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 16.0ms

ival-div: 15.0ms (92.3% of total)

ival-add: 1.0ms (6.2% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

3 → 48

Calls

Call 1

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

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

Calls

12 calls:

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

rewrite716.0ms (17.5%)

Algorithm

1×	batch-egg-rewrite

Rules

3552×	`-lowering-.f32`
3552×	`-lowering-.f64`
2672×	`/-lowering-/.f32`
2672×	`/-lowering-/.f64`
1356×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	13
1	40	13
2	482	13
3	7862	13
0	8540	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 175

Calls

Call 1

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

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

simplify530.0ms (13%)

Algorithm

1×	egg-herbie

Rules

6892×	`-lowering-.f32`
6892×	`-lowering-.f64`
6564×	`fma-define`
6112×	`fma-lowering-fma.f32`
6112×	`fma-lowering-fma.f64`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	19	252
1	38	234
2	57	234
3	65	234
4	87	234
5	147	234
6	249	234
7	515	216
8	718	216
9	1156	216
10	2601	216
11	4762	216
12	5342	216
13	5614	216
14	5850	216
15	5850	216
16	6643	216
17	6868	216
18	6906	216
19	7158	216
20	7409	216
21	7660	216
22	7911	216
23	7911	216
24	7911	216
0	10121	216

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

Calls

Call 1

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

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

eval39.0ms (0.9%)

Compiler: Compiled 4050 to 479 computations (88.2% saved)

prune27.0ms (0.7%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	285	0	285
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	285	4	289

Accuracy

100.0%

Counts

289 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y)
✓	47.3%	(/.f64 #s(literal 1/2 binary64) y)
✓	53.4%	(/.f64 #s(literal 1/2 binary64) x)
✓	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1/2 binary64) y))

Compiler

Compiled 63 to 35 computations (44.4% saved)

regimes8.0ms (0.2%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

3 calls:

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

Results

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

Compiler

Compiled 17 to 11 computations (35.3% saved)

regimes3.0ms (0.1%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

2 calls:

2.0ms	x
2.0ms	y

Results

Accuracy	Segments	Branch
82.4%	2	`x`
82.6%	2	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts

1 → 1

Calls

Call 1

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

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

Calls

2 calls:

1.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
53.4%	1	`x`
53.4%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch14.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
13.0ms	8.733093167120041e-20	1.2734613671646918e-16

Results

8.0ms

128×

valid

Compiler

Compiled 112 to 91 computations (18.8% saved)

Precisions

Click to see histograms. Total time spent on operations: 4.0ms

ival-mult: 2.0ms (53.4% of total)

ival-div: 1.0ms (26.7% of total)

ival-add: 1.0ms (26.7% of total)

const: 0.0ms (0% of total)

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

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	10	20

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal 4673067172681345/2596148429267413814265248164610048 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

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

Outputs

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

(if (<=.f64 y #s(literal 4673067172681345/2596148429267413814265248164610048 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

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

soundness535.0ms (13.1%)

Rules

2278×	`-lowering-.f32`
2278×	`-lowering-.f64`
1888×	`sum4-define`
1556×	`times-frac`
1026×	`+-lowering-+.f64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	822
1	125	786
2	251	786
3	655	732
4	2957	732
5	7310	732
0	8218	732

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 37 to 21 computations (43.2% saved)

preprocess115.0ms (2.8%)

Remove: (sort x y)
Compiler: Compiled 102 to 56 computations (45.1% saved)

Linear.Projection:inversePerspective from linear-1.19.1.3, C

analyze30.0ms (0.7%)

sample868.0ms (21.2%)

preprocess53.0ms (1.3%)

explain71.0ms (1.7%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify5.0ms (0.1%)

localize44.0ms (1.1%)

series23.0ms (0.6%)

rewrite465.0ms (11.4%)

simplify180.0ms (4.4%)

eval206.0ms (5%)

prune95.0ms (2.3%)

simplify4.0ms (0.1%)

localize42.0ms (1%)

series3.0ms (0.1%)

rewrite716.0ms (17.5%)

simplify530.0ms (13%)

eval39.0ms (0.9%)

prune27.0ms (0.7%)

regimes8.0ms (0.2%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch14.0ms (0.3%)

simplify8.0ms (0.2%)

soundness535.0ms (13.1%)

preprocess115.0ms (2.8%)

end0.0ms (0%)

Profiling