Details

sample24.0ms

Algorithm

intervals

Results

6.0ms	256×	pre	80	true
5.0ms	256×	body	80	valid

simplify15.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	4
1	58	4
2	178	4
3	351	4
4	401	4
5	401	4

prune3.0ms

Filtered

1 candidates to 0 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: 0.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ (+ (+ e d) c) b)
0.2b	(+ (+ (+ (+ e d) c) b) a)
0.2b	(+ (+ e d) c)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-+l+`
9×	`+-commutative`
3×	`flip3-+` `flip-+`

Counts

3 → 21

Calls

3 calls:

5.0ms	(+ (+ (+ e d) c) b)
7.0ms	(+ (+ (+ (+ e d) c) b) a)
4.0ms	(+ (+ e d) c)

series102.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(+ (+ (+ e d) c) b)
57.0ms	(+ (+ (+ (+ e d) c) b) a)
15.0ms	(+ (+ e d) c)

simplify88.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 3 (85.0ms)

Iter	Nodes	Cost
0	183	117
1	765	114
2	4455	111
3	5001	108

prune71.0ms

Filtered

30 candidates to 25 candidates (83.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	27	4	31

Merged error: 0.0b

Counts

31 → 4

localize6.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ a (+ b c))
0.2b	(+ (+ e d) (+ a (+ b c)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-+r+`
6×	`+-commutative` `flip3-+` `flip-+`
4×	`frac-add`
2×	`associate-+l+`

Counts

2 → 18

Calls

2 calls:

3.0ms	(+ a (+ b c))
6.0ms	(+ (+ e d) (+ a (+ b c)))

series69.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(+ a (+ b c))
51.0ms	(+ (+ e d) (+ a (+ b c)))

simplify30.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	258	176
1	1081	167
2	5001	160

prune68.0ms

Filtered

24 candidates to 20 candidates (83.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	19	5	24
Fresh	3	0	3
Picked	1	0	1
Done	0	0	0
Total	23	5	28

Merged error: 0b

Counts

28 → 5

localize7.0ms

Local error

Found 3 expressions with local error:

0.1b	(+ e (+ a (+ b c)))
0.2b	(+ d (+ e (+ a (+ b c))))
0.2b	(+ a (+ b c))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-+r+`
9×	`+-commutative`
3×	`flip3-+` `flip-+`

Counts

3 → 21

Calls

3 calls:

4.0ms	(+ e (+ a (+ b c)))
5.0ms	(+ d (+ e (+ a (+ b c))))
3.0ms	(+ a (+ b c))

series99.0ms

Counts

3 → 9

Calls

3 calls:

29.0ms	(+ e (+ a (+ b c)))
54.0ms	(+ d (+ e (+ a (+ b c))))
15.0ms	(+ a (+ b c))

simplify76.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	199	111
1	710	108
2	3604	108
3	5001	108

prune71.0ms

Filtered

30 candidates to 25 candidates (83.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	3	4
Picked	0	1	1
Done	0	0	0
Total	30	5	35

Merged error: 0b

Counts

35 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ e d) (/ (- (* a a) (* (+ b c) (+ b c))) (- a (+ b c))))
0.3b	(/ (- (* a a) (* (+ b c) (+ b c))) (- a (+ b c)))
0.3b	(- a (+ b c))
0.5b	(* (+ b c) (+ b c))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`frac-add`
16×	`flip3-+` `flip-+`
13×	`*-commutative`
12×	`associate-/l*` `difference-of-squares`
10×	`div-sub` `associate--r+`
9×	`+-commutative`
6×	`distribute-rgt-in` `distribute-lft-in` `associate-/l/`
5×	`associate-+r-` `flip3--` `flip--`
4×	`frac-times`
3×	`frac-2neg` `clear-num`
2×	`associate-+l+` `associate-r/` `associate-l/` `associate-/r/`
1×	`pow2` `sub-neg` `div-inv`

Counts

4 → 64

Calls

4 calls:

11.0ms	(+ (+ e d) (/ (- (* a a) (* (+ b c) (+ b c))) (- a (+ b c))))
9.0ms	(/ (- (* a a) (* (+ b c) (+ b c))) (- a (+ b c)))
2.0ms	(- a (+ b c))
5.0ms	(* (+ b c) (+ b c))

series361.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(+ (+ e d) (/ (- (* a a) (* (+ b c) (+ b c))) (- a (+ b c))))
55.0ms	(/ (- (* a a) (* (+ b c) (+ b c))) (- a (+ b c)))
20.0ms	(- a (+ b c))
15.0ms	(* (+ b c) (+ b c))

simplify77.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 2 (68.0ms)

Iter	Nodes	Cost
0	551	846
1	2633	730
2	5002	704

prune193.0ms

Filtered

76 candidates to 50 candidates (65.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	76	5	81

Merged error: 0b

Counts

81 → 5

regimes153.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample581.0ms

Algorithm

intervals

Results

199.0ms	8000×	pre	80	true
168.0ms	8000×	body	80	valid