Details

sample32.0ms

Algorithm

intervals

Results

7.0ms	309×	body	80	nan
7.0ms	283×	body	80	valid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	4
1	14	4
2	14	4

prune2.0ms

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: 19.4b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ A (* V l))))
5.5b	(/ A (* V l))
14.9b	(sqrt (/ A (* V l)))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

10×	`sqrt-div`
6×	`associate-/r*`
5×	`associate-*r/`
4×	`*-commutative`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`sqrt-prod`
1×	`pow1/2` `associate-r`

Counts

3 → 19

Calls

3 calls:

4.0ms	(* c0 (sqrt (/ A (* V l))))
3.0ms	(/ A (* V l))
3.0ms	(sqrt (/ A (* V l)))

series100.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* c0 (sqrt (/ A (* V l))))
20.0ms	(/ A (* V l))
35.0ms	(sqrt (/ A (* V l)))

simplify28.0ms

Algorithm

egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	68	62
1	142	62
2	273	62
3	463	62
4	532	62
5	533	62
6	533	62

prune86.0ms

Filtered

28 candidates to 24 candidates (85.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	17	11	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	11	29

Merged error: 3.6b

Counts

29 → 11

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ (/ A l) V)))
3.5b	(/ (/ A l) V)
14.9b	(sqrt (/ (/ A l) V))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div`
9×	`associate-/l/`
7×	`associate-*r/`
6×	`frac-2neg` `clear-num` `div-inv`
3×	`associate-/l*`
2×	`sqrt-prod`
1×	`pow1/2` `associate-r` `*-commutative`

Counts

3 → 25

Calls

3 calls:

4.0ms	(* c0 (sqrt (/ (/ A l) V)))
3.0ms	(/ (/ A l) V)
3.0ms	(sqrt (/ (/ A l) V))

series99.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* c0 (sqrt (/ (/ A l) V)))
22.0ms	(/ (/ A l) V)
31.0ms	(sqrt (/ (/ A l) V))

simplify103.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (13.0ms)

Iter	Nodes	Cost
0	79	82
1	155	80
2	427	80
3	1054	74
4	2789	74
5	3645	74
6	4299	74
7	5001	74

prune91.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	29	5	34
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	32	13	45

Merged error: 3.1b

Counts

45 → 13

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b	(* (sqrt (/ (/ A l) V)) c0)
3.5b	(/ (/ A l) V)
14.9b	(sqrt (/ (/ A l) V))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div`
9×	`associate-/l/`
7×	`associate-*l/`
6×	`frac-2neg` `clear-num` `div-inv`
3×	`associate-/l*`
2×	`sqrt-prod`
1×	`pow1/2` `associate-l` `*-commutative`

Counts

3 → 25

Calls

3 calls:

5.0ms	(* (sqrt (/ (/ A l) V)) c0)
3.0ms	(/ (/ A l) V)
3.0ms	(sqrt (/ (/ A l) V))

series124.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (sqrt (/ (/ A l) V)) c0)
21.0ms	(/ (/ A l) V)
31.0ms	(sqrt (/ (/ A l) V))

simplify41.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 3 (38.0ms)

Iter	Nodes	Cost
0	115	94
1	305	91
2	1449	90
3	5001	84

prune92.0ms

Filtered

34 candidates to 25 candidates (73.5%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	31	3	34
Fresh	3	9	12
Picked	0	1	1
Done	0	0	0
Total	34	13	47

Merged error: 3.1b

Counts

47 → 13

localize7.0ms

Local error

Found 3 expressions with local error:

1.4b	(/ c0 (sqrt (* V (/ l A))))
3.7b	(* V (/ l A))
14.6b	(sqrt (* V (/ l A)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`associate-*r/`
8×	`sqrt-div`
7×	`clear-num`
6×	`sqrt-prod`
4×	`frac-2neg` `associate-/r/` `div-inv`
3×	`associate-r` `associate-/r` `un-div-inv` `-commutative`
1×	`pow1/2`

Counts

3 → 24

Calls

3 calls:

4.0ms	(/ c0 (sqrt (* V (/ l A))))
3.0ms	(* V (/ l A))
3.0ms	(sqrt (* V (/ l A)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

71.0ms	(/ c0 (sqrt (* V (/ l A))))
19.0ms	(* V (/ l A))
56.0ms	(sqrt (* V (/ l A)))

simplify51.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (21.0ms)

Iter	Nodes	Cost
0	88	85
1	262	84
2	868	83
3	2673	82
4	5001	82

prune66.0ms

Filtered

33 candidates to 25 candidates (75.8%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	2	9	11
Picked	0	1	1
Done	0	1	1
Total	32	14	46

Merged error: 3.1b

Counts

46 → 14

regimes361.0ms

Accuracy

62.9% (6.2b remaining)

Error of 8.8b against oracle of 2.6b and baseline of 19.3b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	45	25
1	48	25
2	48	25

end0.0ms

sample889.0ms

Algorithm

intervals

Results

250.0ms	8967×	body	80	valid
213.0ms	8938×	body	80	nan