Details

analyze1.1s (14.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
9.4%	90.4%	0.2%	10
14%	83.4%	2.5%	11
18.7%	78.2%	3.1%	12
28.1%	65.5%	6.4%	13
30.7%	59.4%	9.9%	14

Compiler

Compiled 20 to 12 computations (40% saved)

sample59.0ms (0.8%)

Algorithm

1×

intervals

Results

13.0ms	256×	body	128	valid
10.0ms	200×	body	128	invalid

Compiler

Compiled 43 to 27 computations (37.2% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`associate-/l*_binary64`
6×	`associate-*r/_binary64`
6×	`associate-/r/_binary64`
6×	`fma-def_binary64`
4×	`associate-/r*_binary64`

Counts

1 → 2

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	22
1	25	20
2	45	20
3	55	20
4	55	20
5	55	20

prune3.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

31.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	31.0b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
	35.0b	(+.f64 (/.f64 (.f64 x x) (.f64 y y)) (/.f64 (.f64 z z) (.f64 t t)))

Compiler

Compiled 107 to 55 computations (48.6% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	3.8b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	14.6b	(/.f64 x (*.f64 y y))
✓	19.7b	(/.f64 (.f64 z z) (.f64 t t))

series162.0ms (2.1%)

Counts

3 → 96

Calls

3 calls:

103.0ms	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))
30.0ms	(/.f64 (.f64 z z) (.f64 t t))
28.0ms	(/.f64 x (*.f64 y y))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64`
20×	`add-exp-log_binary64`
6×	`cbrt-undiv_binary64`
6×	`div-exp_binary64`
5×	`*-un-lft-identity_binary64`

Counts

3 → 56

Calls

3 calls:

10.0ms	(/.f64 (.f64 z z) (.f64 t t))
3.0ms	(/.f64 x (*.f64 y y))
0.0ms	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z z) (*.f64 t t)))

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

652×	`times-frac_binary64`
469×	`unswap-sqr_binary64`
438×	`associate-/l*_binary64`
258×	`associate-*l/_binary64`
229×	`associate-/r*_binary64`

Counts

152 → 75

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	106	2182
1	224	1962
2	656	1913
3	2597	1888
4	4392	1885
5	4944	1885
6	4965	1885

prune91.0ms (1.2%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	62	13	75
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	64	13	77

Error

0.1b

Counts

77 → 13

Alt Table

Status	Error	Program
	31.8b	(fma.f64 x (.f64 x (/.f64 1 (.f64 y y))) (/.f64 (.f64 z z) (.f64 t t)))
	27.9b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (/.f64 (.f64 z z) t) t))
	20.5b	(fma.f64 x (/.f64 1 (/.f64 y (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	20.5b	(fma.f64 x (/.f64 x (*.f64 y y)) (/.f64 z (/.f64 t (/.f64 z t))))
	25.2b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z)))
	43.7b	(/.f64 (pow.f64 x 2) (pow.f64 y 2))
	31.2b	(fma.f64 x (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 (.f64 y y) (cbrt.f64 x))) (/.f64 (.f64 z z) (.f64 t t)))
	20.7b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	20.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	40.3b	(fma.f64 x (.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) y)) (/.f64 (.f64 z z) (*.f64 t t)))
	20.6b	(fma.f64 x (.f64 (/.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) y) (/.f64 (cbrt.f64 x) y)) (/.f64 (.f64 z z) (.f64 t t)))
	33.4b	(fma.f64 x (/.f64 x (*.f64 y y)) (cbrt.f64 (pow.f64 (/.f64 z t) 6)))
▶	0.5b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))

Compiler

Compiled 1922 to 555 computations (71.1% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(hypot.f64 (/.f64 z t) (/.f64 x y))
✓	0.5b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))

series562.0ms (7.2%)

Counts

2 → 96

Calls

2 calls:

511.0ms	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
51.0ms	(hypot.f64 (/.f64 z t) (/.f64 x y))

rewrite15.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64`
8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64`
6×	`add-cube-cbrt_binary64`
5×	`hypot-udef_binary64`

Counts

2 → 39

Calls

2 calls:

3.0ms	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
0.0ms	(hypot.f64 (/.f64 z t) (/.f64 x y))

simplify79.0ms (1%)

Algorithm

1×	egg-herbie

Rules

928×	`associate-/l*_binary64`
772×	`associate-/r*_binary64`
212×	`fma-def_binary64`
151×	`unswap-sqr_binary64`
148×	`associate-/r/_binary64`

Counts

135 → 87

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	3714
1	342	3389
2	1314	3211
3	5268	3211

prune136.0ms (1.7%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	123	6	129
Fresh	6	6	12
Picked	0	1	1
Done	0	0	0
Total	129	13	142

Error

0.0b

Counts

142 → 13

Alt Table

Status	Error	Program
	25.2b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z)))
	43.7b	(/.f64 (pow.f64 x 2) (pow.f64 y 2))
	20.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
▶	0.6b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	20.7b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	1.2b	(.f64 (.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	31.8b	(fma.f64 x (.f64 x (/.f64 1 (.f64 y y))) (/.f64 (.f64 z z) (.f64 t t)))
	20.5b	(fma.f64 x (/.f64 1 (/.f64 y (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	15.6b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3)))
	1.2b	(.f64 (.f64 (cbrt.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (cbrt.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	34.8b	(cbrt.f64 (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 6))
✓	0.5b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	0.8b	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3))

Compiler

Compiled 4248 to 1497 computations (64.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (/.f64 z t) (/.f64 x y))
✓	0.5b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))
✓	0.5b	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))
✓	1.0b	(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

series690.0ms (8.9%)

Counts

3 → 120

Calls

3 calls:

326.0ms

(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))

291.0ms

(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))

73.0ms

(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

rewrite23.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`pow1_binary64`
32×	`add-sqr-sqrt_binary64`
21×	`sqrt-prod_binary64`
15×	`pow-prod-up_binary64`
15×	`sqrt-pow1_binary64`

Counts

3 → 97

Calls

3 calls:

9.0ms

(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))

6.0ms

(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))

1.0ms

(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

simplify172.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

960×	`associate-/r*_binary64`
363×	`fma-def_binary64`
200×	`cancel-sign-sub-inv_binary64`
194×	`unswap-sqr_binary64`
169×	`associate-/r/_binary64`

Counts

217 → 165

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	202	5798
1	520	5228
2	1905	5086
3	5297	5086

prune276.0ms (3.6%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	320	1	321
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	322	12	334

Error

0.0b

Counts

334 → 12

Alt Table

Status	Error	Program
	25.2b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z)))
	43.7b	(/.f64 (pow.f64 x 2) (pow.f64 y 2))
	20.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
✓	0.6b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	20.7b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	1.2b	(.f64 (.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	31.8b	(fma.f64 x (.f64 x (/.f64 1 (.f64 y y))) (/.f64 (.f64 z z) (.f64 t t)))
	20.5b	(fma.f64 x (/.f64 1 (/.f64 y (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	1.2b	(.f64 (.f64 (cbrt.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (cbrt.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	0.8b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))))
✓	0.5b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
▶	0.8b	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3))

Compiler

Compiled 12436 to 3707 computations (70.2% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(hypot.f64 (/.f64 z t) (/.f64 x y))
✓	0.3b	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3))
✓	0.7b	(pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3)
	1.0b	(sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))

series514.0ms (6.6%)

Counts

2 → 72

Calls

2 calls:

352.0ms	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3))
162.0ms	(pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3)

rewrite18.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
25×	`sqrt-prod_binary64`
18×	`associate-r_binary64`
16×	`cube-prod_binary64`
16×	`unpow-prod-down_binary64`

Counts

2 → 85

Calls

2 calls:

7.0ms	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3))
2.0ms	(pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3)

simplify141.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

942×	`fma-def_binary64`
531×	`times-frac_binary64`
348×	`*-commutative_binary64`
274×	`associate-/l*_binary64`
247×	`associate-/r*_binary64`

Counts

157 → 108

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	3946
1	352	3610
2	1230	3328
3	3774	3265
4	4909	3265
5	4950	3265

prune221.0ms (2.8%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	249	3	252
Fresh	1	8	9
Picked	0	1	1
Done	1	1	2
Total	251	13	264

Error

0.0b

Counts

264 → 13

Alt Table

Status	Error	Program
	0.5b	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (pow.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) 3/2))
✓	0.8b	(*.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3))
	20.7b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 (.f64 z (/.f64 z t)) t))
	1.2b	(.f64 (.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (hypot.f64 (/.f64 z t) (/.f64 x y))))
	31.8b	(fma.f64 x (.f64 x (/.f64 1 (.f64 y y))) (/.f64 (.f64 z z) (.f64 t t)))
	20.5b	(fma.f64 x (/.f64 1 (/.f64 y (/.f64 x y))) (/.f64 (.f64 z z) (.f64 t t)))
	25.2b	(fma.f64 x (/.f64 x (.f64 y y)) (/.f64 z (/.f64 (.f64 t t) z)))
	20.2b	(fma.f64 x (.f64 (/.f64 1 y) (/.f64 x y)) (/.f64 (.f64 z z) (*.f64 t t)))
	3.4b	(*.f64 (exp.f64 (log.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))))) (pow.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) 3))
	1.2b	(.f64 (.f64 (cbrt.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))) (cbrt.f64 (.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y))))) (cbrt.f64 (*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))))
	0.8b	(.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (.f64 (sqrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (*.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y))) (sqrt.f64 (cbrt.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)))))))
✓	0.5b	(*.f64 (hypot.f64 (/.f64 z t) (/.f64 x y)) (hypot.f64 (/.f64 z t) (/.f64 x y)))
	22.8b	(fma.f64 (/.f64 z t) (/.f64 z t) (/.f64 (.f64 x x) (.f64 y y)))

Compiler

Compiled 8517 to 3170 computations (62.8% saved)

regimes1.9s (24.1%)

Accuracy

Total 0.4b remaining (86.7%)

Threshold costs 0.4b (86.7%)

Counts

157 → 1

Compiler

Compiled 44667 to 22542 computations (49.5% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	13
1	14	13
2	12	13

end0.0ms (0%)

Compiler: Compiled 13 to 9 computations (30.8% saved)

sample1.4s (18.3%)

Algorithm

1×

intervals

Results

429.0ms	8000×	body	128	valid
354.0ms	6108×	body	128	invalid

Compiler

Compiled 371 to 168 computations (54.7% saved)

Details

analyze1.1s (14.7%)

sample59.0ms (0.8%)

simplify11.0ms (0.1%)

prune3.0ms (0%)

localize9.0ms (0.1%)

series162.0ms (2.1%)

rewrite15.0ms (0.2%)

simplify109.0ms (1.4%)

prune91.0ms (1.2%)

localize6.0ms (0.1%)

series562.0ms (7.2%)

rewrite15.0ms (0.2%)

simplify79.0ms (1%)

prune136.0ms (1.7%)

localize8.0ms (0.1%)

series690.0ms (8.9%)

rewrite23.0ms (0.3%)

simplify172.0ms (2.2%)

prune276.0ms (3.6%)

localize9.0ms (0.1%)

series514.0ms (6.6%)

rewrite18.0ms (0.2%)

simplify141.0ms (1.8%)

prune221.0ms (2.8%)

regimes1.9s (24.1%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (18.3%)

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