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

analyze32.0ms (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: 11.0ms

ival-mult: 5.0ms (47.3% of total)

ival-sub: 3.0ms (28.4% of total)

ival-div: 3.0ms (28.4% of total)

const: 1.0ms (9.5% of total)

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

sample1.1s (25%)

Results

910.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 436.0ms

ival-mult: 196.0ms (45% of total)

ival-sub: 146.0ms (33.5% of total)

ival-div: 78.0ms (17.9% of total)

const: 13.0ms (3% of total)

backward-pass: 3.0ms (0.7% of total)

Bogosity

preprocess282.0ms (6.4%)

Algorithm

2×	egg-herbie

Rules

2452×	`fmm-def`
2394×	`-lowering-.f32`
2394×	`-lowering-.f64`
1746×	`fnmsub-define`
1636×	`sum3-define`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	22	62
1	83	54
2	336	42
3	1814	42
4	4861	42
5	6890	42
6	7658	42
7	7804	42
8	7852	42
9	7932	42
0	7	9
1	18	9
2	52	7
3	130	7
4	315	7
5	671	7
6	1541	7
7	5036	7
0	8210	7

Stop Event

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

Calls

Call 1

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

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

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

explain83.0ms (1.9%)

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

54.0ms

512×

valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 21.0ms

ival-mult: 12.0ms (58% of total)

ival-sub: 4.0ms (19.3% of total)

ival-div: 4.0ms (19.3% of total)

const: 1.0ms (4.8% of total)

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

eval0.0ms (0%)

Compiler: Compiled 9 to 7 computations (22.2% saved)

prune3.0ms (0.1%)

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	78.0%	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
▶	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 20 to 14 computations (30% saved)

simplify160.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 7 expressions of interest:

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

Rules

2394×	`-lowering-.f32`
2394×	`-lowering-.f64`
1746×	`fnmsub-define`
1636×	`sum3-define`
1582×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	24	38
2	58	38
3	135	38
4	319	38
5	675	38
6	1549	38
7	5046	38
0	8246	38

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize55.0ms (1.3%)

Localize:

Found 7 expressions of interest:

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

Results

41.0ms

256×

valid

Compiler

Compiled 43 to 13 computations (69.8% saved)

Precisions

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

ival-div: 6.0ms (46.8% of total)

ival-mult: 3.0ms (23.4% of total)

ival-sub: 1.0ms (7.8% of total)

ival-add: 1.0ms (7.8% of total)

const: 1.0ms (7.8% of total)

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

series13.0ms (0.3%)

Counts

7 → 132

Calls

Call 1

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

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

Calls

33 calls:

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

rewrite305.0ms (6.9%)

Algorithm

1×	batch-egg-rewrite

Rules

4196×	`-lowering-.f32`
4196×	`-lowering-.f64`
3364×	`/-lowering-/.f32`
3364×	`/-lowering-/.f64`
1814×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	75	31
2	775	31
0	9111	31

Stop Event

1×	iter limit
1×	node limit

Counts

7 → 575

Calls

Call 1

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

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

simplify226.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

1898×	`fma-lowering-fma.f32`
1898×	`fma-lowering-fma.f64`
1892×	`fmm-def`
1606×	`-lowering-.f32`
1606×	`-lowering-.f64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	591
1	112	585
2	265	585
3	665	585
4	1941	585
5	4315	585
6	7709	585
0	8305	585

Stop Event

1×	iter limit
1×	node limit

Counts

132 → 132

Calls

Call 1

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

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

eval262.0ms (5.9%)

Compiler: Compiled 11341 to 907 computations (92% saved)

prune52.0ms (1.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	704	3	707
Fresh	0	0	0
Picked	1	1	2
Done	0	0	0
Total	705	4	709

Accuracy

100.0%

Counts

709 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	89.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64)) y)
▶	48.2%	(/.f64 #s(literal 1/2 binary64) y)
▶	53.2%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 30 to 23 computations (23.3% saved)

simplify160.0ms (3.6%)

Algorithm

1×	egg-herbie

Localize:

Found 6 expressions of interest:

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

Rules

2110×	`fmsub-define`
2006×	`fma-lowering-fma.f32`
2006×	`fma-lowering-fma.f64`
1990×	`fmm-def`
1892×	`fnmadd-define`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	21	38
2	41	38
3	78	38
4	161	35
5	331	35
6	668	35
7	1835	35
8	5215	35
0	8207	35

Stop Event

1×	iter limit
1×	node limit

Calls

Call 1

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

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

localize57.0ms (1.3%)

Localize:

Found 6 expressions of interest:

New	Metric	Score	Program
✓	accuracy	100.0%	(/.f64 y x)
✓	accuracy	100.0%	(-.f64 #s(literal 1 binary64) (/.f64 y x))
✓	accuracy	99.7%	(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64))
✓	accuracy	90.0%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64)) y)
✓	accuracy	100.0%	(/.f64 #s(literal 1/2 binary64) y)
✓	accuracy	100.0%	(/.f64 #s(literal -1/2 binary64) x)

Results

41.0ms

256×

valid

Compiler

Compiled 41 to 13 computations (68.3% saved)

Precisions

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

ival-div: 10.0ms (80.3% of total)

ival-sub: 1.0ms (8% of total)

const: 1.0ms (8% of total)

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

series5.0ms (0.1%)

Counts

6 → 120

Calls

Call 1

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

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

Calls

30 calls:

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

rewrite217.0ms (4.9%)

Algorithm

1×	batch-egg-rewrite

Rules

2804×	`/-lowering-/.f32`
2804×	`/-lowering-/.f64`
2804×	`-lowering-.f32`
2804×	`-lowering-.f64`
1702×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	30
1	64	30
2	446	30
3	7220	30
0	8155	30

Stop Event

1×	iter limit
1×	node limit

Counts

6 → 405

Calls

Call 1

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

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

simplify154.0ms (3.5%)

Algorithm

1×	egg-herbie

Rules

1838×	`-lowering-.f32`
1838×	`-lowering-.f64`
1478×	`fmsub-define`
1400×	`fnmsub-define`
1268×	`fmm-def`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	38	591
1	99	537
2	232	537
3	602	519
4	999	519
5	3064	519
6	7922	519
0	8005	519

Stop Event

1×	iter limit
1×	node limit

Counts

120 → 120

Calls

Call 1

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

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

eval57.0ms (1.3%)

Compiler: Compiled 10213 to 1145 computations (88.8% saved)

prune52.0ms (1.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	525	0	525
Fresh	0	0	0
Picked	0	3	3
Done	0	1	1
Total	525	4	529

Accuracy

100.0%

Counts

529 → 4

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	89.6%	(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64)) y)
✓	48.2%	(/.f64 #s(literal 1/2 binary64) y)
✓	53.2%	(/.f64 #s(literal -1/2 binary64) x)
✓	100.0%	(+.f64 (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x))

Compiler

Compiled 63 to 40 computations (36.5% saved)

regimes10.0ms (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) y) (/.f64 #s(literal -1/2 binary64) x))
(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
(/.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) #s(literal 2 binary64)) y)

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

Calls

3 calls:

5.0ms	y
2.0ms	(/.f64 (-.f64 x y) (.f64 (.f64 x #s(literal 2 binary64)) y))
2.0ms	x

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)

regimes4.0ms (0.1%)

Counts

2 → 3

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

Calls

2 calls:

2.0ms	y
1.0ms	x

Results

Accuracy	Segments	Branch
77.8%	3	`x`
78.1%	3	`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
53.2%	1	`x`
53.2%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch31.0ms (0.7%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
9.0ms	3.6854719673841676e-20	2.1381421373829005e-19
20.0ms	-7504153019921.71	-1.7720446908849044e-8

Results

17.0ms

272×

valid

Compiler

Compiled 220 to 181 computations (17.7% saved)

Precisions

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

ival-mult: 4.0ms (51.6% of total)

ival-sub: 2.0ms (25.8% of total)

ival-div: 2.0ms (25.8% of total)

const: 0.0ms (0% of total)

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

simplify78.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
2×	`if-if-or-not_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	25
1	17	25

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 y #s(literal -6800207735332289/9444732965739290427392 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 4776913109852041/41538374868278621028243970633760768 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) y) (/.f64 #s(literal -1/2 binary64) x))

(if (<=.f64 y #s(literal -6800207735332289/9444732965739290427392 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 4776913109852041/41538374868278621028243970633760768 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

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

soundness896.0ms (20.3%)

Rules

2394×	`-lowering-.f32`
2394×	`-lowering-.f64`
1898×	`fma-lowering-fma.f32`
1898×	`fma-lowering-fma.f64`
1892×	`fmm-def`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	40	591
1	112	585
2	265	585
3	665	585
4	1941	585
5	4315	585
6	7709	585
0	8305	585
0	7	9
1	18	9
2	52	7
3	130	7
4	315	7
5	671	7
6	1541	7
7	5036	7
0	8210	7

Stop Event

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

Compiler

Compiled 80 to 53 computations (33.8% saved)

preprocess117.0ms (2.6%)

Compiler: Compiled 98 to 52 computations (46.9% saved)

Linear.Projection:inversePerspective from linear-1.19.1.3, B

analyze32.0ms (0.7%)

sample1.1s (25%)

preprocess282.0ms (6.4%)

explain83.0ms (1.9%)

eval0.0ms (0%)

prune3.0ms (0.1%)

simplify160.0ms (3.6%)

localize55.0ms (1.3%)

series13.0ms (0.3%)

rewrite305.0ms (6.9%)

simplify226.0ms (5.1%)

eval262.0ms (5.9%)

prune52.0ms (1.2%)

simplify160.0ms (3.6%)

localize57.0ms (1.3%)

series5.0ms (0.1%)

rewrite217.0ms (4.9%)

simplify154.0ms (3.5%)

eval57.0ms (1.3%)

prune52.0ms (1.2%)

regimes10.0ms (0.2%)

regimes4.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch31.0ms (0.7%)

simplify78.0ms (1.8%)

soundness896.0ms (20.3%)

preprocess117.0ms (2.6%)

end0.0ms (0%)

Profiling