Metrics for Data.Colour.RGBSpace.HSL:hsl from colour-2.3.3, C

analyze0.0ms (0%)

Memory

0.6MiB live, 0.6MiB allocated

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
100%	99.9%	0%	0.1%	0%	0%	0%	1

Compiler

Compiled 7 to 7 computations (0% saved)

sample556.0ms (19.3%)

Memory

47.1MiB live, 848.8MiB allocated

Samples

355.0ms

8 256×

valid

Precisions

Click to see histograms. Total time spent on operations: 159.0ms

ival-sub: 81.0ms (51% of total)

ival-mult: 65.0ms (40.9% of total)

ival-true: 6.0ms (3.8% of total)

exact: 4.0ms (2.5% of total)

ival-assert: 3.0ms (1.9% of total)

Bogosity

preprocess30.0ms (1%)

Memory

-21.2MiB live, 55.7MiB allocated

Algorithm

1×	egg-herbie

Rules

128×	`accelerator-lowering-fma.f32`
128×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
44×	`sub-neg`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	29
1	31	25
2	79	25
3	170	25
4	247	25
5	275	25
6	281	25
0	5	5
1	8	5
2	13	5
3	19	5
4	34	5
5	53	5
6	99	5
7	141	5
8	190	5
9	207	5
10	215	5
0	215	5

Stop Event

1×	iter limit
1×	saturated
1×	saturated

Calls

Call 1

Inputs
(- (* x 2) y)

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

explain59.0ms (2%)

Memory

17.1MiB live, 141.4MiB allocated

FPErrors

Click to see full error table

Example	Example	Subexpression
-	-	`(-.f64 (*.f64 x #s(literal 2 binary64)) y)`
-	-	`(*.f64 x #s(literal 2 binary64))`
-	-	`#s(literal 2 binary64)`
-	-	`y`
-	-	`x`

Confusion

	Predicted +	Predicted -
+	0	0
-	0	256

Precision

0/0

Recall

0/0

Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	256

Precision?

0/0

Recall?

0/0

Freqs

test

number	freq
0	256

Total Confusion?

	Predicted +	Predicted Maybe	Predicted -
+	0	0	0
-	0	0	1

Precision?

0/0

Recall?

0/0

Samples

19.0ms

512×

valid

Compiler

Compiled 40 to 24 computations (40% saved)

Precisions

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

ival-mult: 4.0ms (55.5% of total)

ival-sub: 3.0ms (41.7% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory: 0.4MiB live, 0.4MiB allocated
Compiler: Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory

1.8MiB live, 1.8MiB allocated

Alt Table

Click to see full alt table

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

Compiler

Compiled 7 to 5 computations (28.6% saved)

simplify24.0ms (0.8%)

Memory

-19.3MiB live, 19.1MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 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)

Rules

128×	`accelerator-lowering-fma.f32`
128×	`accelerator-lowering-fma.f64`
80×	`-lowering-.f32`
80×	`-lowering-.f64`
40×	`+-lowering-+.f64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	8	11
2	13	11
3	19	11
4	34	11
5	53	11
6	99	11
7	141	11
8	190	11
9	207	11
10	215	11
0	215	11

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize211.0ms (7.3%)

Memory

-1.4MiB live, 40.1MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

206.0ms

256×

valid

Compiler

Compiled 13 to 7 computations (46.2% saved)

Precisions

Click to see histograms. Total time spent on operations: 200.0ms

ival-mult: 198.0ms (98.9% of total)

ival-sub: 1.0ms (0.5% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series3.0ms (0.1%)

Memory

6.2MiB live, 6.2MiB allocated

Counts

2 → 36

Calls

Call 1

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

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

9 calls:

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

rewrite764.0ms (26.5%)

Memory

4.1MiB live, 730.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

15 184×	`accelerator-lowering-fma.f32`
15 184×	`accelerator-lowering-fma.f64`
4 068×	`-lowering-.f32`
4 068×	`-lowering-.f64`
3 436×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	21	8
2	159	8
3	1560	8
0	9332	7

Stop Event

1×	iter limit
1×	node limit

Counts

2 → 372

Calls

Call 1

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

Outputs
(+.f64 (*.f64 x #s(literal 2 binary64)) y)
(+.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))
(+.f64 (.f64 x #s(literal 2 binary64)) (.f64 (neg.f64 y) #s(literal -1 binary64)))
(+.f64 y (*.f64 x #s(literal 2 binary64)))
(+.f64 (neg.f64 y) (*.f64 x #s(literal 2 binary64)))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (.f64 (neg.f64 (.f64 y y)) (/.f64 y (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (.f64 (neg.f64 y) (/.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (.f64 (neg.f64 (pow.f64 y #s(literal 3/2 binary64))) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (.f64 (neg.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))))) (fma.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 y (fma.f64 x #s(literal 2 binary64) y) (.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64))))))
(+.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (.f64 (neg.f64 (/.f64 (.f64 y (.f64 y y)) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (neg.f64 (/.f64 (*.f64 y y) (fma.f64 x #s(literal 2 binary64) y))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (neg.f64 (.f64 y y)) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (*.f64 (neg.f64 y) (/.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (*.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)))) (fma.f64 x #s(literal 2 binary64) y)))
(+.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (neg.f64 (/.f64 (.f64 y y) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(+.f64 #s(literal 0 binary64) (fma.f64 x #s(literal 2 binary64) y))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y))) #s(literal -1 binary64)))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)
(-.f64 (*.f64 x #s(literal 2 binary64)) (neg.f64 y))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(-.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 2 binary64) y)))
(-.f64 #s(literal 0 binary64) (+.f64 y (*.f64 #s(literal -2 binary64) x)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 y y (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 y y (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) (fma.f64 y y (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) (fma.f64 y y (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 y y (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (.f64 x #s(literal 2 binary64)) y)))) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 y y (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 (*.f64 x #s(literal 2 binary64)) y)))))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (*.f64 x x) #s(literal 16 binary64))))) (fma.f64 x #s(literal 2 binary64) y)))
(-.f64 (/.f64 (/.f64 (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (/.f64 (.f64 y (.f64 y (.f64 y y))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y y))) (fma.f64 x #s(literal 2 binary64) y)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))))) (+.f64 y (*.f64 #s(literal -2 binary64) x)))
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y (.f64 #s(literal -2 binary64) x))) (+.f64 y (.f64 #s(literal -2 binary64) x)))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64)) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64)))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (*.f64 y y))))))
(-.f64 (/.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))))) (/.f64 (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(-.f64 (/.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y))) (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (.f64 y y)) (*.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y))))
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(.f64 (-.f64 (.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (.f64 y (.f64 y y)))) (/.f64 #s(literal 1 binary64) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y))))))
(.f64 (-.f64 (.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (fma.f64 x #s(literal 2 binary64) y) (.f64 y y))) (/.f64 #s(literal -1 binary64) (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x)))))
(.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (*.f64 y y))))
(.f64 (-.f64 (pow.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) #s(literal 3 binary64)) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (.f64 (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))))))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 64 binary64) (.f64 (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (.f64 x (.f64 x x)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))))) (fma.f64 (.f64 y y) (.f64 (/.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))))) (.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 (.f64 y (.f64 y y)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))))))
(.f64 (-.f64 (/.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))) (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 x #s(literal 2 binary64) y))) (/.f64 (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))) (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 16 binary64) (.f64 (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (.f64 x x) (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 (.f64 y y) (.f64 (/.f64 y (fma.f64 x #s(literal 2 binary64) y)) (/.f64 y (fma.f64 x #s(literal 2 binary64) y))) (.f64 (/.f64 (.f64 x (.f64 x #s(literal 4 binary64))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (*.f64 y y) (fma.f64 x #s(literal 2 binary64) y)))))))
(.f64 (.f64 (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (.f64 y y) (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x x) (/.f64 #s(literal 4 binary64) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 (.f64 y y) (fma.f64 x #s(literal 2 binary64) y)))))
(.f64 (/.f64 (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (*.f64 y y)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))))))
(.f64 (/.f64 (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 y (.f64 y (.f64 y y)))) (fma.f64 x #s(literal 2 binary64) y)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y y))))
(.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (fma.f64 (.f64 y (.f64 y y)) (.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 x #s(literal 2 binary64) y)) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64))))) (fma.f64 (.f64 y (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 y (fma.f64 x #s(literal 2 binary64) y) (.f64 #s(literal -4 binary64) (.f64 x x))) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)))))
(.f64 (/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))))) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))))
(.f64 (/.f64 (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x))) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y)))) (neg.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y (fma.f64 x #s(literal 2 binary64) y)))))
(.f64 (/.f64 (.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 x #s(literal 2 binary64) y)) (fma.f64 y y (.f64 #s(literal -4 binary64) (.f64 x x)))) (+.f64 y (*.f64 #s(literal -2 binary64) x)))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) (.f64 x (.f64 x x)))) #s(literal 512 binary64) (.f64 (.f64 y (.f64 y y)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y)))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y (.f64 y y)) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (.f64 y y))) (.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (*.f64 x x)) #s(literal 64 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y (fma.f64 x #s(literal 2 binary64) y))) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) (.f64 y (*.f64 y y)))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 (.f64 x (.f64 x x)) (.f64 (.f64 x (.f64 x x)) #s(literal 64 binary64)) (.f64 (.f64 y (.f64 y y)) (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (.f64 y y) (fma.f64 x (.f64 x #s(literal 4 binary64)) (.f64 y y)) (.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64))))))
(.f64 (pow.f64 (/.f64 (fma.f64 x #s(literal 2 binary64) y) (fma.f64 (.f64 x x) (.f64 (.f64 x x) #s(literal 16 binary64)) (.f64 y (.f64 y (.f64 y y))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 x (.f64 x #s(literal 4 binary64)) (*.f64 y y))))
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(literal 2 binary64) y)) #s(literal -1/2 binary64)))
(+.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal 2 binary64))))
(exp.f64 (.f64 (log.f64 (.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(-.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64))
(fma.f64 x #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) x #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))) #s(literal 0 binary64))
(fma.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)) #s(literal 0 binary64))
(fma.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(/.f64 (fma.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 (.f64 x (.f64 x x)) #s(literal 8 binary64)) #s(literal 0 binary64)) (fma.f64 x (.f64 x #s(literal 4 binary64)) (+.f64 #s(literal 0 binary64) (.f64 (.f64 x #s(literal 2 binary64)) #s(literal 0 binary64)))))
(/.f64 (-.f64 (.f64 x (.f64 x #s(literal 4 binary64))) #s(literal 0 binary64)) (*.f64 x #s(literal 2 binary64)))
(pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal 2 binary64) (pow.f64 x #s(literal 1 binary64)))
(*.f64 (pow.f64 x #s(literal 1 binary64)) #s(literal 2 binary64))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(literal 2 binary64))))
(*.f64 (exp.f64 (log.f64 #s(literal 2 binary64))) (exp.f64 (log.f64 x)))
(.f64 (pow.f64 (.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 1/2 binary64)))

simplify247.0ms (8.6%)

Memory

-25.3MiB live, 243.1MiB allocated

Algorithm

1×	egg-herbie

Rules

3 140×	`-lowering-.f32`
3 140×	`-lowering-.f64`
2 392×	`accelerator-lowering-fma.f32`
2 392×	`accelerator-lowering-fma.f64`
1 872×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	141
1	68	141
2	170	141
3	436	141
4	959	141
5	1938	141
6	3034	141
7	4425	141
8	4903	141
9	5114	141
10	5168	141
11	5910	141
12	6849	141
13	7291	141
14	7873	141
0	8201	141

Stop Event

1×	iter limit
1×	node limit

Counts

36 → 36

Calls

Call 1

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

eval82.0ms (2.8%)

Memory: -5.4MiB live, 108.4MiB allocated
Compiler: Compiled 16 290 to 807 computations (95% saved)

prune84.0ms (2.9%)

Memory

-2.8MiB live, 114.9MiB allocated

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	406	2	408
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	406	3	409

Accuracy

100.0%

Counts

409 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
▶	50.7%	(*.f64 x #s(literal 2 binary64))
▶	50.1%	(neg.f64 y)

Compiler

Compiled 16 to 12 computations (25% saved)

simplify5.0ms (0.2%)

Memory

8.6MiB live, 8.6MiB allocated

Algorithm

1×	egg-herbie

Localize:

Found 2 expressions of interest:

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

Rules

8×	`+-lowering-+.f64`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`+-lowering-+.f32`
6×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	8
1	10	8
2	12	8
3	14	8
4	16	8
5	20	8
6	25	8
0	25	8

Stop Event

1×	iter limit
1×	saturated

Calls

Call 1

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

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

localize28.0ms (1%)

Memory

-8.1MiB live, 31.0MiB allocated

Localize:

Found 2 expressions of interest:

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

Samples

22.0ms

256×

valid

Compiler

Compiled 10 to 7 computations (30% saved)

Precisions

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

ival-mult: 2.0ms (56.8% of total)

ival-neg: 1.0ms (28.4% of total)

ival-true: 0.0ms (0% of total)

exact: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

series0.0ms (0%)

Memory

0.9MiB live, 0.8MiB allocated

Counts

2 → 24

Calls

Call 1

Inputs
#<alt (neg y)>
#<alt (* x 2)>

Outputs
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 y)>
#<alt (* -1 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

6 calls:

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

rewrite126.0ms (4.4%)

Memory

13.9MiB live, 132.4MiB allocated

Algorithm

1×	batch-egg-rewrite

Rules

510×	`/-lowering-/.f32`
510×	`/-lowering-/.f64`
438×	`-lowering-.f32`
438×	`-lowering-.f64`
238×	`frac-times`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	10	5
2	25	5
3	151	5
0	1644	5

Stop Event

1×	iter limit
1×	iter limit
1×	iter limit
1×	unsound

Counts

2 → 74

Calls

Call 1

Inputs
(neg y)
(* x 2)

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

simplify7.0ms (0.3%)

Memory

-22.1MiB live, 14.8MiB allocated

Algorithm

1×	egg-herbie

Rules

8×	`+-lowering-+.f64`
8×	`-lowering-.f32`
8×	`-lowering-.f64`
8×	`+-lowering-+.f32`
6×	`--lowering--.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	60
1	9	60
2	11	60
3	12	60
4	14	60
5	16	60
6	20	60
7	25	60
0	25	60

Stop Event

1×	iter limit
1×	saturated

Counts

24 → 24

Calls

Call 1

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

eval9.0ms (0.3%)

Memory: 28.8MiB live, 28.8MiB allocated
Compiler: Compiled 1 011 to 123 computations (87.8% saved)

prune18.0ms (0.6%)

Memory

-17.4MiB live, 36.1MiB allocated

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	0	0
Picked	0	2	2
Done	0	1	1
Total	98	3	101

Accuracy

100.0%

Counts

101 → 3

Alt Table

Click to see full alt table

Status	Accuracy	Program
✓	100.0%	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
✓	50.7%	(*.f64 x #s(literal 2 binary64))
✓	50.1%	(neg.f64 y)

Compiler

Compiled 28 to 18 computations (35.7% saved)

regimes11.0ms (0.4%)

Memory

-16.3MiB live, 22.1MiB allocated

Counts

3 → 1

Calls

Call 1

Inputs
(neg.f64 y)
(*.f64 x #s(literal 2 binary64))
(-.f64 (*.f64 x #s(literal 2 binary64)) y)

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

Calls

4 calls:

4.0ms	y
2.0ms	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
2.0ms	(*.f64 x #s(literal 2 binary64))
2.0ms	x

Results

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

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

21.6MiB live, 21.6MiB allocated

Counts

2 → 3

Calls

Call 1

Inputs
(neg.f64 y)
(*.f64 x #s(literal 2 binary64))

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

Calls

4 calls:

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

Results

Accuracy	Segments	Branch
81.3%	3	`x`
78.1%	3	`y`
58.8%	4	`(-.f64 (*.f64 x #s(literal 2 binary64)) y)`
81.3%	3	`(*.f64 x #s(literal 2 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

regimes7.0ms (0.2%)

Memory

-19.6MiB live, 17.5MiB allocated

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts

1 → 1

Calls

Call 1

Inputs
(neg.f64 y)

Outputs
(neg.f64 y)

Calls

4 calls:

3.0ms	y
1.0ms	(*.f64 x #s(literal 2 binary64))
1.0ms	(-.f64 (*.f64 x #s(literal 2 binary64)) y)
1.0ms	x

Results

Accuracy	Segments	Branch
50.1%	1	`(-.f64 (*.f64 x #s(literal 2 binary64)) y)`
50.1%	1	`y`
50.1%	1	`x`
50.1%	1	`(*.f64 x #s(literal 2 binary64))`

Compiler

Compiled 18 to 13 computations (27.8% saved)

bsearch19.0ms (0.7%)

Memory

3.7MiB live, 40.1MiB allocated

Algorithm

2×	binary-search

Stop Event

1×	narrow-enough
1×	narrow-enough

Steps

Time	Left	Right
11.0ms	3.5519935120795685e-63	5.751562721832568e-53
7.0ms	-2764066535760.2773	-45692348392.70426

Samples

7.0ms

272×

valid

Compiler

Compiled 163 to 129 computations (20.9% saved)

Precisions

Click to see histograms. Total time spent on operations: 2.0ms

ival-sub: 2.0ms (108.7% of total)

ival-true: 0.0ms (0% of total)

ival-assert: 0.0ms (0% of total)

simplify8.0ms (0.3%)

Memory

27.2MiB live, 27.2MiB allocated

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
4×	`+-commutative_binary64`
4×	`sub-neg_binary64`
2×	`neg-sub0_binary64`
2×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	25
1	21	25
2	24	25
3	25	25

Stop Event

1×

saturated

Calls

Call 1

Inputs

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

(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -210000000000 binary64)) (*.f64 x #s(literal 2 binary64)) (if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 5499829120098731/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (neg.f64 y) (*.f64 x #s(literal 2 binary64))))

(neg.f64 y)

Outputs

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

(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal -210000000000 binary64)) (*.f64 x #s(literal 2 binary64)) (if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 5499829120098731/107839786668602559178668060348078522694548577690162289924414440996864 binary64)) (neg.f64 y) (*.f64 x #s(literal 2 binary64))))

(neg.f64 y)

soundness498.0ms (17.3%)

Memory

-30.0MiB live, 130.2MiB allocated

Rules

3 140×	`-lowering-.f32`
3 140×	`-lowering-.f64`
2 392×	`accelerator-lowering-fma.f32`
2 392×	`accelerator-lowering-fma.f64`
1 872×	`/-lowering-/.f32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	141
1	68	141
2	170	141
3	436	141
4	959	141
5	1938	141
6	3034	141
7	4425	141
8	4903	141
9	5114	141
10	5168	141
11	5910	141
12	6849	141
13	7291	141
14	7873	141
0	8201	141

Stop Event

1×	done
1×	iter limit
1×	node limit

Compiler

Compiled 42 to 22 computations (47.6% saved)

preprocess77.0ms (2.7%)

Memory: 0.3MiB live, 82.1MiB allocated
Compiler: Compiled 72 to 34 computations (52.8% saved)

end0.0ms (0%)

Memory: 0.0MiB live, 0.0MiB allocated

Iter	Nodes	Cost
0	13	29
1	31	25
2	79	25
3	170	25
4	247	25
5	275	25
6	281	25
0	5	5
1	8	5
2	13	5
3	19	5
4	34	5
5	53	5
6	99	5
7	141	5
8	190	5
9	207	5
10	215	5
0	215	5

Iter	Nodes	Cost
0	5	11
1	8	11
2	13	11
3	19	11
4	34	11
5	53	11
6	99	11
7	141	11
8	190	11
9	207	11
10	215	11
0	215	11

Iter	Nodes	Cost
0	13	29
1	31	25
2	79	25
3	170	25
4	247	25
5	275	25
6	281	25
0	5	5
1	8	5
2	13	5
3	19	5
4	34	5
5	53	5
6	99	5
7	141	5
8	190	5
9	207	5
10	215	5
0	215	5

Iter	Nodes	Cost
0	5	11
1	8	11
2	13	11
3	19	11
4	34	11
5	53	11
6	99	11
7	141	11
8	190	11
9	207	11
10	215	11
0	215	11

analyze0.0ms (0%)

sample556.0ms (19.3%)

preprocess30.0ms (1%)

explain59.0ms (2%)

eval0.0ms (0%)

prune1.0ms (0%)

simplify24.0ms (0.8%)

localize211.0ms (7.3%)

series3.0ms (0.1%)

rewrite764.0ms (26.5%)

simplify247.0ms (8.6%)

eval82.0ms (2.8%)

prune84.0ms (2.9%)

simplify5.0ms (0.2%)

localize28.0ms (1%)

series0.0ms (0%)

rewrite126.0ms (4.4%)

simplify7.0ms (0.3%)

eval9.0ms (0.3%)

prune18.0ms (0.6%)

regimes11.0ms (0.4%)

regimes7.0ms (0.2%)

regimes7.0ms (0.2%)

bsearch19.0ms (0.7%)

simplify8.0ms (0.3%)

soundness498.0ms (17.3%)

preprocess77.0ms (2.7%)

end0.0ms (0%)

Profiling

Iter	Nodes	Cost
0	13	29
1	31	25
2	79	25
3	170	25
4	247	25
5	275	25
6	281	25
0	5	5
1	8	5
2	13	5
3	19	5
4	34	5
5	53	5
6	99	5
7	141	5
8	190	5
9	207	5
10	215	5
0	215	5

Iter	Nodes	Cost
0	5	11
1	8	11
2	13	11
3	19	11
4	34	11
5	53	11
6	99	11
7	141	11
8	190	11
9	207	11
10	215	11
0	215	11