Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	280×	body	80	valid
10.0ms	284×	body	80	nan

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: 17.5b

Counts

2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

1.7b	(* c0 (sqrt (/ A (* V l))))
5.3b	(/ A (* V l))
13.4b	(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1`
3×	`associate-l` `div-inv` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

3 → 66

Calls

3 calls:

8.0ms	(* c0 (sqrt (/ A (* V l))))
4.0ms	(/ A (* V l))
4.0ms	(sqrt (/ A (* V l)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(* c0 (sqrt (/ A (* V l))))
20.0ms	(/ A (* V l))
35.0ms	(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (22.0ms)

Iter	Nodes	Cost
0	209	321
1	813	296
2	3055	293
3	5001	293

prune187.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	58	17	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	17	76

Merged error: 4.7b

Counts

76 → 17

localize6.0ms

Local error

Found 3 expressions with local error:

1.7b	(* c0 (sqrt (/ (/ A V) l)))
3.6b	(/ (/ A V) l)
13.4b	(sqrt (/ (/ A V) l))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
134×	`add-sqr-sqrt`
117×	`add-cube-cbrt` `*-un-lft-identity`
89×	`sqrt-prod`
46×	`associate-r`
13×	`div-inv` `associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`unswap-sqr`
3×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `associate-l` `associate-/r*` `add-log-exp`
2×	`sqrt-div`
1×	`frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `associate-/l/`

Counts

3 → 191

Calls

3 calls:

16.0ms	(* c0 (sqrt (/ (/ A V) l)))
6.0ms	(/ (/ A V) l)
8.0ms	(sqrt (/ (/ A V) l))

series105.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* c0 (sqrt (/ (/ A V) l)))
19.0ms	(/ (/ A V) l)
36.0ms	(sqrt (/ (/ A V) l))

simplify58.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	578	1401
1	2008	1326
2	5002	1290

prune530.0ms

Filtered

200 candidates to 165 candidates (82.5%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	188	12	200
Fresh	10	6	16
Picked	1	0	1
Done	0	0	0
Total	199	18	217

Merged error: 0.1b

Counts

217 → 18

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
0.6b	(cbrt A)
0.6b	(cbrt l)
0.6b	(cbrt l)

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt A)
1.0ms	(cbrt A)
1.0ms	(cbrt l)
1.0ms	(cbrt l)

series914.0ms

Counts

4 → 12

Calls

4 calls:

370.0ms	(cbrt A)
178.0ms	(cbrt A)
180.0ms	(cbrt l)
185.0ms	(cbrt l)

simplify58.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	69	156
1	145	144
2	346	136
3	1277	136
4	5001	136

prune262.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

22 alts after pruning (22 fresh and 0 done)

	Pruned	Kept	Total
New	49	7	56
Fresh	2	15	17
Picked	1	0	1
Done	0	0	0
Total	52	22	74

Merged error: 0.0b

Counts

74 → 22

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(* (cbrt l) (cbrt l))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)
6.0ms	(* (cbrt l) (cbrt l))

series726.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(cbrt l)
185.0ms	(cbrt l)
172.0ms	(cbrt l)
191.0ms	(* (cbrt l) (cbrt l))

simplify92.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (86.0ms)

Iter	Nodes	Cost
0	115	288
1	479	261
2	2963	238
3	5002	235

prune316.0ms

Filtered

85 candidates to 64 candidates (75.3%)

Pruning

24 alts after pruning (23 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	21	21
Picked	0	1	1
Done	0	0	0
Total	83	24	107

Merged error: 0.0b

Counts

107 → 24

regimes820.0ms

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	20
1	21	20

end0.0ms

sample1.1s

Algorithm

intervals

Results

320.0ms	8914×	body	80	valid
318.0ms	8868×	body	80	nan