Details

sample34.0ms

Algorithm

intervals

Results

8.0ms	317×	body	80	nan
8.0ms	290×	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: 20.7b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.4b	(* c0 (sqrt (/ A (* V l))))
6.4b	(/ A (* V l))
15.8b	(sqrt (/ A (* V l)))

rewrite21.0ms

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:

11.0ms	(* c0 (sqrt (/ A (* V l))))
4.0ms	(/ A (* V l))
4.0ms	(sqrt (/ A (* V l)))

series106.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* c0 (sqrt (/ A (* V l))))
21.0ms	(/ A (* V l))
33.0ms	(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (21.0ms)

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

prune200.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	61	14	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	62	14	76

Merged error: 7.6b

Counts

76 → 14

localize7.0ms

Local error

Found 3 expressions with local error:

1.4b	(* c0 (sqrt (/ (/ A V) l)))
3.2b	(/ (/ A V) l)
15.8b	(sqrt (/ (/ A V) l))

rewrite44.0ms

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:

19.0ms	(* c0 (sqrt (/ (/ A V) l)))
6.0ms	(/ (/ A V) l)
7.0ms	(sqrt (/ (/ A V) l))

series106.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* c0 (sqrt (/ (/ A V) l)))
20.0ms	(/ (/ A V) l)
33.0ms	(sqrt (/ (/ A V) l))

simplify59.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	578	1400
1	2008	1326
2	5002	1290

prune644.0ms

Filtered

200 candidates to 165 candidates (82.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	185	15	200
Fresh	10	3	13
Picked	0	1	1
Done	0	0	0
Total	195	19	214

Merged error: 0.1b

Counts

214 → 19

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt V)
0.6b	(cbrt V)
0.6b	(cbrt A)
0.6b	(cbrt A)

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 V)
1.0ms	(cbrt V)
1.0ms	(cbrt A)
1.0ms	(cbrt A)

series753.0ms

Counts

4 → 12

Calls

4 calls:

191.0ms	(cbrt V)
186.0ms	(cbrt V)
185.0ms	(cbrt A)
190.0ms	(cbrt A)

simplify62.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (7.0ms)

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

prune295.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	2	15	17
Picked	1	0	1
Done	0	1	1
Total	56	19	75

Merged error: 0.1b

Counts

75 → 19

localize21.0ms

Local error

Found 4 expressions with local error:

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

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 A)
1.0ms	(cbrt A)

series769.0ms

Counts

4 → 12

Calls

4 calls:

194.0ms	(cbrt A)
187.0ms	(cbrt A)
192.0ms	(cbrt A)
195.0ms	(cbrt A)

simplify131.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (6.0ms)

Iter	Nodes	Cost
0	40	156
1	81	144
2	193	136
3	696	136
4	4103	136
5	5002	136

prune280.0ms

Filtered

56 candidates to 48 candidates (85.7%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	54	2	56
Fresh	1	16	17
Picked	0	1	1
Done	0	1	1
Total	55	20	75

Merged error: 0.1b

Counts

75 → 20

regimes870.0ms

Accuracy

0% (1.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	21
1	21	21

end0.0ms

sample911.0ms

Algorithm

intervals

Results

239.0ms	8901×	body	80	valid
227.0ms	8864×	body	80	nan