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

analyze34.0ms (1%)

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 (55.3% of total)

ival-sub: 3.0ms (27.7% of total)

ival-div: 2.0ms (18.4% of total)

const: 1.0ms (9.2% of total)

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

sample1.1s (31.5%)

Results

703.0ms

8256×

valid

Precisions

Click to see histograms. Total time spent on operations: 325.0ms

ival-mult: 157.0ms (48.3% of total)

ival-div: 94.0ms (28.9% of total)

ival-sub: 60.0ms (18.4% of total)

const: 11.0ms (3.4% of total)

backward-pass: 3.0ms (0.9% of total)

Bogosity

preprocess267.0ms (7.9%)

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))

explain94.0ms (2.8%)

FPErrors

Click to see full error table

Ground Truth	Example	Underpredictions	Example	Subexpression
66	-	2	(3.718445131642778e-95 3.3519663358869377e-218)	`(/.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

69.0ms

512×

valid

Compiler

Compiled 63 to 23 computations (63.5% saved)

Precisions

Click to see histograms. Total time spent on operations: 15.0ms

ival-mult: 7.0ms (45.9% of total)

ival-div: 4.0ms (26.2% of total)

ival-sub: 3.0ms (19.7% of total)

const: 1.0ms (6.6% of total)

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

eval0.0ms (0%)

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

prune1.0ms (0%)

Alt Table

Click to see full alt table

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

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Localize:

Found 3 expressions of interest:

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

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	8	17
0	8	17

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize40.0ms (1.2%)

Localize:

Found 3 expressions of interest:

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

Results

32.0ms

256×

valid

Compiler

Compiled 20 to 8 computations (60% saved)

Precisions

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

ival-div: 4.0ms (64.9% of total)

ival-add: 1.0ms (16.2% of total)

const: 0.0ms (0% of total)

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

series3.0ms (0.1%)

Counts

3 → 48

Calls

Call 1

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

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)>

Calls

12 calls:

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

rewrite301.0ms (8.9%)

Algorithm

1×	batch-egg-rewrite

Rules

3514×	`-lowering-.f32`
3514×	`-lowering-.f64`
2618×	`/-lowering-/.f32`
2618×	`/-lowering-/.f64`
1360×	`sum5-define`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	41	13
2	480	13
3	7760	13
0	8516	13

Stop Event

1×	iter limit
1×	node limit

Counts

3 → 173

Calls

Call 1

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

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

simplify160.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

2120×	`fnmsub-define`
2034×	`fnmadd-define`
2012×	`fma-lowering-fma.f32`
2012×	`fma-lowering-fma.f64`
2002×	`fmm-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	20	222
1	50	219
2	86	219
3	140	219
4	284	219
5	661	219
6	2052	219
7	6505	219
0	8673	219

Stop Event

1×	iter limit
1×	node limit

Counts

48 → 48

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)

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

eval23.0ms (0.7%)

Compiler: Compiled 3769 to 478 computations (87.3% saved)

prune35.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	219	2	221
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	219	3	222

Accuracy

100.0%

Counts

222 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
▶	52.1%	(/.f64 #s(literal 1/2 binary64) y)
▶	49.6%	(/.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 19 to 15 computations (21.1% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
0	6	10

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize28.0ms (0.8%)

Localize:

Found 2 expressions of interest:

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

Results

21.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

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

ival-div: 4.0ms (83.6% of total)

const: 0.0ms (0% of total)

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

series0.0ms (0%)

Counts

2 → 24

Calls

Call 1

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

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)>

Calls

6 calls:

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

rewrite168.0ms (5%)

Algorithm

1×	batch-egg-rewrite

Rules

2808×	`-lowering-.f32`
2808×	`-lowering-.f64`
2296×	`/-lowering-/.f32`
2296×	`/-lowering-/.f64`
888×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	6
1	21	6
2	81	6
3	311	6
4	1273	6
0	8863	6

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 260

Calls

Call 1

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

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

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`/-lowering-/.f32`
4×	`/-lowering-/.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	72
0	6	72

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

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)

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)

eval30.0ms (0.9%)

Compiler: Compiled 2709 to 444 computations (83.6% saved)

prune36.0ms (1.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	284	0	284
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	284	3	287

Accuracy

100.0%

Counts

287 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	52.1%	(/.f64 #s(literal 1/2 binary64) y)
✓	49.6%	(/.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 43 to 27 computations (37.2% saved)

regimes9.0ms (0.3%)

Counts

4 → 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))

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

Calls

3 calls:

5.0ms	y
2.0ms	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 → 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
77.4%	5	`x`
79.3%	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	x
1.0ms	y

Results

Accuracy	Segments	Branch
49.6%	1	`x`
49.6%	1	`y`

Compiler

Compiled 6 to 4 computations (33.3% saved)

bsearch86.0ms (2.5%)

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	2.838892714739692e+20	5.3870715305376556e+22
73.0ms	-5.277468177033076e+61	-3.0965428609057424e+59

Results

71.0ms

224×

valid

Compiler

Compiled 184 to 151 computations (17.9% saved)

Precisions

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

ival-sub: 59.0ms (92.4% of total)

ival-mult: 3.0ms (4.7% of total)

ival-div: 2.0ms (3.1% of total)

const: 0.0ms (0% of total)

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

simplify52.0ms (1.6%)

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 -319999999999999982019823679181236186105508941712422302908416 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 2300000000000000000000 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 -319999999999999982019823679181236186105508941712422302908416 binary64)) (/.f64 #s(literal -1/2 binary64) x) (if (<=.f64 y #s(literal 2300000000000000000000 binary64)) (/.f64 #s(literal 1/2 binary64) y) (/.f64 #s(literal -1/2 binary64) x)))

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

soundness881.0ms (26.2%)

Rules

2394×	`-lowering-.f32`
2394×	`-lowering-.f64`
2120×	`fnmsub-define`
2034×	`fnmadd-define`
2012×	`fma-lowering-fma.f32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	20	222
1	50	219
2	86	219
3	140	219
4	284	219
5	661	219
6	2052	219
7	6505	219
0	8673	219
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)

preprocess34.0ms (1%)

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

Linear.Projection:inversePerspective from linear-1.19.1.3, B

analyze34.0ms (1%)

sample1.1s (31.5%)

preprocess267.0ms (7.9%)

explain94.0ms (2.8%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify6.0ms (0.2%)

localize40.0ms (1.2%)

series3.0ms (0.1%)

rewrite301.0ms (8.9%)

simplify160.0ms (4.8%)

eval23.0ms (0.7%)

prune35.0ms (1.1%)

simplify4.0ms (0.1%)

localize28.0ms (0.8%)

series0.0ms (0%)

rewrite168.0ms (5%)

simplify6.0ms (0.2%)

eval30.0ms (0.9%)

prune36.0ms (1.1%)

regimes9.0ms (0.3%)

regimes3.0ms (0.1%)

regimes3.0ms (0.1%)

bsearch86.0ms (2.5%)

simplify52.0ms (1.6%)

soundness881.0ms (26.2%)

preprocess34.0ms (1%)

end0.0ms (0%)

Profiling