Details

sample38.0ms

Algorithm

intervals

Results

11.0ms	256×	pre	80	true
6.0ms	256×	body	80	valid

simplify14.0ms

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

prune4.0ms

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)
0.3b	(+ (+ (+ (+ e d) c) b) a)
0.3b	(+ (+ (+ e d) c) b)

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
19×	`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 → 51

Calls

3 calls:

6.0ms	(+ (+ e d) c)
12.0ms	(+ (+ (+ (+ e d) c) b) a)
9.0ms	(+ (+ (+ e d) c) b)

series28.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(+ (+ e d) c)
15.0ms	(+ (+ (+ (+ e d) c) b) a)
8.0ms	(+ (+ (+ e d) c) b)

simplify33.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	234	271
1	1006	262
2	5002	262

prune91.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	53	7	60
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	54	7	61

Merged error: 0b

Counts

61 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b	(+ (+ e d) (+ c b))
0.3b	(+ (+ (+ e d) (+ c b)) a)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

32×	`*-un-lft-identity` `add-log-exp`
21×	`sum-log` `distribute-lft-out`
6×	`flip3-+` `flip-+`
4×	`frac-add`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `associate-+l+` `add-cbrt-cube`
1×	`associate-+r+`

Counts

2 → 45

Calls

2 calls:

9.0ms	(+ (+ e d) (+ c b))
13.0ms	(+ (+ (+ e d) (+ c b)) a)

series26.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(+ (+ e d) (+ c b))
18.0ms	(+ (+ (+ e d) (+ c b)) a)

simplify39.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	343	314
1	1354	305
2	5001	305

prune66.0ms

Filtered

31 candidates to 51 candidates (-64.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	51	0	51
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	51	7	58

Merged error: 0b

Counts

58 → 7

localize7.0ms

Local error

Found 3 expressions with local error:

0.2b	(+ e (+ d c))
0.3b	(+ (+ (+ e (+ d c)) b) a)
0.3b	(+ (+ e (+ d c)) b)

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

31×	`*-un-lft-identity` `add-log-exp`
19×	`sum-log` `distribute-lft-out`
3×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `flip3-+` `add-cbrt-cube` `flip-+`
2×	`associate-+l+`
1×	`associate-+r+`

Counts

3 → 51

Calls

3 calls:

6.0ms	(+ e (+ d c))
12.0ms	(+ (+ (+ e (+ d c)) b) a)
9.0ms	(+ (+ e (+ d c)) b)

series30.0ms

Counts

3 → 9

Calls

3 calls:

4.0ms	(+ e (+ d c))
17.0ms	(+ (+ (+ e (+ d c)) b) a)
9.0ms	(+ (+ e (+ d c)) b)

simplify32.0ms

Algorithm

egg-herbie

Counts

60 → 60

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	244	271
1	1018	262
2	5001	262

prune67.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	60	7	67

Merged error: 0b

Counts

67 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (+ (+ e d) c) b) a)
0.3b	(+ (+ (+ e d) c) b)
0.6b	(cbrt (pow (+ (+ (+ (+ e d) c) b) a) 3))
0.7b	(pow (+ (+ (+ (+ e d) c) b) a) 3)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

89×	`*-un-lft-identity`
56×	`distribute-lft-out`
27×	`add-log-exp`
20×	`cbrt-prod`
16×	`sum-log`
14×	`unpow-prod-down` `cube-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt`
5×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`cube-div` `flip3-+` `flip-+`
3×	`pow-unpow`
2×	`+-commutative` `cube-mult` `associate-+l+` `cbrt-div` `unpow3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow1/3` `pow-exp` `rem-cbrt-cube` `rem-cube-cbrt`

Counts

4 → 100

Calls

4 calls:

13.0ms	(+ (+ (+ (+ e d) c) b) a)
9.0ms	(+ (+ (+ e d) c) b)
13.0ms	(cbrt (pow (+ (+ (+ (+ e d) c) b) a) 3))
14.0ms	(pow (+ (+ (+ (+ e d) c) b) a) 3)

series704.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(+ (+ (+ (+ e d) c) b) a)
12.0ms	(+ (+ (+ e d) c) b)
23.0ms	(cbrt (pow (+ (+ (+ (+ e d) c) b) a) 3))
654.0ms	(pow (+ (+ (+ (+ e d) c) b) a) 3)

simplify51.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	332	710
1	1624	682
2	5003	674

prune88.0ms

Filtered

56 candidates to 112 candidates (-100.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	112	7	119

Merged error: 0b

Counts

119 → 7

regimes878.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	4
1	13	4

end0.0ms

sample930.0ms

Algorithm

intervals

Results

328.0ms	8000×	pre	80	true
199.0ms	8000×	body	80	valid

Details

sample38.0ms

simplify14.0ms

prune4.0ms

localize7.0ms

rewrite29.0ms

series28.0ms

simplify33.0ms

prune91.0ms

localize7.0ms

rewrite24.0ms

series26.0ms

simplify39.0ms

prune66.0ms

localize7.0ms

rewrite28.0ms

series30.0ms

simplify32.0ms

prune67.0ms

localize11.0ms

rewrite53.0ms

series704.0ms

simplify51.0ms

prune88.0ms

regimes878.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample930.0ms

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