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

analyze32.0ms (0.8%)

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: 11.0ms

ival-mult: 6.0ms (55.7% of total)

ival-div: 2.0ms (18.6% of total)

ival-add: 2.0ms (18.6% of total)

const: 1.0ms (9.3% of total)

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

sample1.4s (33.6%)

Results

1.1s

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 716.0ms

ival-mult: 537.0ms (75% of total)

ival-div: 97.0ms (13.5% of total)

ival-add: 67.0ms (9.4% of total)

const: 13.0ms (1.8% of total)

backward-pass: 3.0ms (0.4% of total)

Bogosity

preprocess62.0ms (1.5%)

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)

explain82.0ms (2%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
62	-	4	(-5.97606267282627e-155 -6.26463921589102e-157)	`(/.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

60.0ms

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: 3.0ms (18.9% 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
▶	90.0%	(/.f64 (/.f64 (/.f64 (+.f64 x y) x) #s(literal 2 binary64)) y)
▶	78.0%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Compiler

Compiled 22 to 14 computations (36.4% saved)

simplify6.0ms (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)

localize56.0ms (1.4%)

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	90.0%	(/.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	78.0%	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))

Results

42.0ms

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: 8.0ms (60.4% of total)

ival-mult: 3.0ms (22.7% of total)

ival-add: 2.0ms (15.1% of total)

const: 0.0ms (0% of total)

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

series13.0ms (0.3%)

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
2.0ms	y	@	-inf	(/ (+ x y) (* (* x 2) y))
1.0ms	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))

rewrite476.0ms (11.8%)

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	456	41
3	5064	41
0	8174	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 (.f64 x (*.f64 y #s(literal 2 binary64))) (+.f64 x y))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 x y) (.f64 x (.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 (/.f64 (.f64 x x) (-.f64 x y)) (.f64 x (.f64 y #s(literal 2 binary64)))) (/.f64 (/.f64 (.f64 y 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 x y) (.f64 x (*.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (.f64 x (.f64 y #s(literal -2 binary64)))) (/.f64 (+.f64 x y) (.f64 x (.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal 0 binary64) y)) (/.f64 (+.f64 x y) (.f64 x (.f64 y #s(literal -2 binary64)))))
(-.f64 (/.f64 (.f64 x x) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 y (-.f64 x y)))) (/.f64 (.f64 y y) (.f64 (.f64 x #s(literal 2 binary64)) (.f64 y (-.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 x y) (.f64 x (.f64 y #s(literal -2 binary64)))))
(neg.f64 (.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 x y) (.f64 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 (+.f64 x y) (*.f64 x #s(literal 2 binary64))) 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 x y) (*.f64 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 #s(literal 2 binary64)) (.f64 y (+.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 (.f64 x (.f64 y #s(literal 2 binary64))) (+.f64 x y)))
(/.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) (neg.f64 (/.f64 (/.f64 (+.f64 x y) y) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (/.f64 (/.f64 (+.f64 x y) y) x)))
(/.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 (/.f64 y (+.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)))
(/.f64 (/.f64 #s(literal 1 binary64) x) (.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) (.f64 y #s(literal 2 binary64))))
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(.f64 (pow.f64 (/.f64 (.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 x #s(literal 2 binary64)) (+.f64 x y)) #s(literal -1/2 binary64)))
(*.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 (.f64 y 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 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) (.f64 x (+.f64 (-.f64 #s(literal 0 binary64) x) y)))
(/.f64 (.f64 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) (.f64 (-.f64 #s(literal 0 binary64) x) (-.f64 x y)))
(/.f64 (.f64 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) 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 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) #s(literal 1 binary64)) (*.f64 (-.f64 x y) (-.f64 #s(literal 0 binary64) x)))
(/.f64 (.f64 (.f64 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) y)) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 0 binary64) x) y) x))
(/.f64 (.f64 (.f64 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) 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 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) 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 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) 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 (+.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 (-.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 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) 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 #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 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) 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 (+.f64 x y) (+.f64 (-.f64 #s(literal 0 binary64) x) 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))))

simplify209.0ms (5.2%)

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	7312	732
0	8238	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 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.f64 x #s(literal 2 binary64)))
(* 2 (* x y))
(.f64 y (.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))
(* 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 y x))
(/ (+ (* 1/2 x) (* 1/2 y)) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ (+ (* 1/2 x) (* 1/2 y)) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ (+ (* 1/2 x) (* 1/2 y)) x)
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
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 y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
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 y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
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 y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(+ 1/2 (* 1/2 (/ y x)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* 1/2 (/ y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* 1/2 (/ y x))
(*.f64 #s(literal 1/2 binary64) (/.f64 y x))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(* y (+ (* 1/2 (/ 1 x)) (* 1/2 (/ 1 y))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 y x)))
(/ 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))

eval209.0ms (5.2%)

Compiler: Compiled 23106 to 1965 computations (91.5% saved)

prune116.0ms (2.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	1179	4	1183
Fresh	0	0	0
Picked	2	0	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
▶	88.1%	(/.f64 (/.f64 (/.f64 (+.f64 x y) y) x) #s(literal 2 binary64))
▶	49.4%	(/.f64 #s(literal 1/2 binary64) y)
▶	52.1%	(/.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)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 9 expressions of interest:

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

42×	`/-lowering-/.f32`
42×	`/-lowering-/.f64`
24×	`-lowering-.f32`
24×	`-lowering-.f64`
20×	`associate-/r*`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	17	53
2	27	53
3	38	53
4	47	53
0	47	53

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
(/ (/ (/ (+ x y) y) x) 2)
(/ (/ (+ x y) y) x)
(/ (+ x y) y)
(+ x y)
x
y
2

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

localize165.0ms (4.1%)

Localize:

Found 9 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 (/.f64 (/.f64 (+.f64 x y) y) x) #s(literal 2 binary64))
✓	accuracy	100.0%	(+.f64 x y)
✓	accuracy	100.0%	(/.f64 (+.f64 x y) y)
✓	accuracy	88.1%	(/.f64 (/.f64 (+.f64 x y) y) 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 #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

147.0ms

256×

valid

Compiler

Compiled 56 to 12 computations (78.6% saved)

Precisions

Click to see histograms. Total time spent on operations: 91.0ms

ival-add: 81.0ms (89.3% of total)

ival-div: 9.0ms (9.9% of total)

const: 1.0ms (1.1% of total)

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

series5.0ms (0.1%)

Counts

7 → 144

Calls

Call 1

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

36 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	(/ (+ x y) y)

rewrite305.0ms (7.6%)

Algorithm

1×	batch-egg-rewrite

Rules

4648×	`-lowering-.f32`
4648×	`-lowering-.f64`
3310×	`/-lowering-/.f32`
3310×	`/-lowering-/.f64`
1756×	`+-lowering-+.f64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	35
1	78	35
2	818	33
0	8970	33

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 621

Calls

Call 1

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

simplify155.0ms (3.8%)

Algorithm

1×	egg-herbie

Rules

1976×	`-lowering-.f32`
1976×	`-lowering-.f64`
1660×	`times-frac`
1434×	`fnmsub-define`
1342×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	732
1	104	696
2	208	696
3	597	624
4	3107	624
5	7581	624
0	8347	624

Stop Event

1×	iter limit
1×	node limit

Counts

144 → 144

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

eval118.0ms (2.9%)

Compiler: Compiled 11641 to 1245 computations (89.3% saved)

prune63.0ms (1.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	828	0	828
Fresh	0	0	0
Picked	0	4	4
Done	0	0	0
Total	828	4	832

Accuracy

100.0%

Counts

832 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	88.1%	(/.f64 (/.f64 (/.f64 (+.f64 x y) y) x) #s(literal 2 binary64))
✓	49.4%	(/.f64 #s(literal 1/2 binary64) y)
✓	52.1%	(/.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 72 to 38 computations (47.2% saved)

regimes11.0ms (0.3%)

Counts

6 → 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)
(/.f64 (/.f64 (/.f64 (+.f64 x y) y) x) #s(literal 2 binary64))

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

Calls

3 calls:

5.0ms	y
3.0ms	x
2.0ms	(/.f64 (+.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) 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
1.0ms	y

Results

Accuracy	Segments	Branch
83.8%	2	`x`
81.5%	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
52.1%	1	`y`
52.1%	1	`x`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch12.0ms (0.3%)

Algorithm

1×	binary-search

Stop Event

1×	narrow-enough

Steps

Time	Left	Right
11.0ms	-1.5603567533027476e-28	-2.2233137110252544e-29

Results

8.0ms

96×

valid

Compiler

Compiled 88 to 71 computations (19.3% saved)

Precisions

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

ival-div: 1.0ms (36.5% of total)

ival-add: 1.0ms (36.5% of total)

ival-mult: 1.0ms (36.5% of total)

const: 0.0ms (0% of total)

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

simplify7.0ms (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 x #s(literal -2319277500647185/89202980794122492566142873090593446023921664 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 x #s(literal -2319277500647185/89202980794122492566142873090593446023921664 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal 1/2 binary64) x))

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

soundness533.0ms (13.2%)

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	7312	732
0	8238	732

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 37 to 21 computations (43.2% saved)

preprocess35.0ms (0.9%)

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

Linear.Projection:inversePerspective from linear-1.19.1.3, C

analyze32.0ms (0.8%)

sample1.4s (33.6%)

preprocess62.0ms (1.5%)

explain82.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.1%)

localize56.0ms (1.4%)

series13.0ms (0.3%)

rewrite476.0ms (11.8%)

simplify209.0ms (5.2%)

eval209.0ms (5.2%)

prune116.0ms (2.9%)

simplify6.0ms (0.1%)

localize165.0ms (4.1%)

series5.0ms (0.1%)

rewrite305.0ms (7.6%)

simplify155.0ms (3.8%)

eval118.0ms (2.9%)

prune63.0ms (1.6%)

regimes11.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch12.0ms (0.3%)

simplify7.0ms (0.2%)

soundness533.0ms (13.2%)

preprocess35.0ms (0.9%)

end0.0ms (0%)

Profiling