Details

sample23.0ms

Algorithm

intervals

Results

6.0ms	235×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	6×	body	640	valid
0.0ms	3×	body	160	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	2560	valid

simplify308.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	20	5
1	64	4
2	203	4
3	327	4
4	339	4
5	345	4
6	413	4
7	516	4
8	561	4
9	700	4
10	909	4
11	1271	4
12	3907	4
13	5001	4

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 2

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(+ (* 2 (+ x y)) (+ x z))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-log-exp`
5×	`flip3-+` `flip-+`
4×	`associate-*r/` `frac-add`
3×	`sum-log`
2×	`associate-+l+`
1×	`pow1` `add-exp-log` `+-commutative` `distribute-rgt-in` `add-sqr-sqrt` `add-cube-cbrt` `associate-+r+` `*-un-lft-identity` `distribute-lft-in` `add-cbrt-cube`

Counts

1 → 19

Calls

1 calls:

8.0ms

(+ (* 2 (+ x y)) (+ x z))

series6.0ms

Counts

1 → 3

Calls

1 calls:

6.0ms

(+ (* 2 (+ x y)) (+ x z))

simplify34.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	275	199
1	1174	190
2	5001	185

prune49.0ms

Filtered

22 candidates to 17 candidates (22.7%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	17	5	22
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	18	6	24

Merged error: 0.0b

Counts

24 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 2 (+ x y)) x)
0.0b	(+ (+ (* 2 (+ x y)) x) z)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`*-un-lft-identity` `sum-log`
3×	`associate-+l+`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`distribute-rgt-in` `distribute-lft-in` `distribute-lft-out`

Counts

2 → 27

Calls

2 calls:

6.0ms	(+ (* 2 (+ x y)) x)
9.0ms	(+ (+ (* 2 (+ x y)) x) z)

series11.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(+ (* 2 (+ x y)) x)
6.0ms	(+ (+ (* 2 (+ x y)) x) z)

simplify69.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	165	183
1	588	174
2	2960	170
3	5001	170

prune49.0ms

Filtered

33 candidates to 23 candidates (30.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	33	6	39

Merged error: 0.0b

Counts

39 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (+ (+ x y) y) x)
0.0b	(+ (+ x y) y)
0.0b	(+ (+ (+ (+ (+ x y) y) x) z) x)

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

37×	`*-un-lft-identity` `add-log-exp`
24×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `flip3-+` `add-cbrt-cube` `flip-+`

Counts

3 → 53

Calls

3 calls:

8.0ms	(+ (+ (+ x y) y) x)
5.0ms	(+ (+ x y) y)
16.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)

series15.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (+ (+ x y) y) x)
4.0ms	(+ (+ x y) y)
6.0ms	(+ (+ (+ (+ (+ x y) y) x) z) x)

simplify31.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	249	320
1	929	288
2	5001	270

prune64.0ms

Filtered

62 candidates to 37 candidates (40.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	61	7	68

Merged error: 0.0b

Counts

68 → 7

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
0.5b	(cbrt (+ (+ (+ x y) y) x))
0.5b	(cbrt (+ (+ (+ x y) y) x))
0.5b	(cbrt (+ (+ (+ x y) y) x))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

138×	`*-un-lft-identity`
78×	`distribute-lft-out`
70×	`cbrt-prod`
23×	`add-sqr-sqrt`
21×	`swap-sqr`
18×	`cbrt-div`
15×	`add-cube-cbrt`
11×	`pow1`
9×	`flip3-+` `pow1/3` `associate-r` `associate-l` `flip-+`
6×	`add-exp-log`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 117

Calls

4 calls:

19.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
9.0ms	(cbrt (+ (+ (+ x y) y) x))
7.0ms	(cbrt (+ (+ (+ x y) y) x))
7.0ms	(cbrt (+ (+ (+ x y) y) x))

series141.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (cbrt (+ (+ (+ x y) y) x)) (cbrt (+ (+ (+ x y) y) x)))
32.0ms	(cbrt (+ (+ (+ x y) y) x))
35.0ms	(cbrt (+ (+ (+ x y) y) x))
32.0ms	(cbrt (+ (+ (+ x y) y) x))

simplify46.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	304	1356
1	1020	1291
2	5002	1100

prune110.0ms

Filtered

129 candidates to 78 candidates (39.5%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	129	7	136

Merged error: 0.0b

Counts

136 → 7

regimes232.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	4
1	12	4

end0.0ms

sample519.0ms

Algorithm

intervals

Results

198.0ms	7435×	body	80	valid
24.0ms	165×	body	1280	valid
19.0ms	196×	body	640	valid
8.0ms	107×	body	320	valid
5.0ms	32×	body	2560	valid
4.0ms	71×	body	160	valid

Details

sample23.0ms

simplify308.0ms

prune9.0ms

localize6.0ms

rewrite9.0ms

series6.0ms

simplify34.0ms

prune49.0ms

localize6.0ms

rewrite15.0ms

series11.0ms

simplify69.0ms

prune49.0ms

localize7.0ms

rewrite31.0ms

series15.0ms

simplify31.0ms

prune64.0ms

localize12.0ms

rewrite48.0ms

series141.0ms

simplify46.0ms

prune110.0ms

regimes232.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample519.0ms

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