Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	284×	body	80	valid
7.0ms	299×	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: 18.1b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.8b	(* c0 (sqrt (/ A (* V l))))
5.1b	(/ A (* V l))
16.4b	(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:

7.0ms	(* c0 (sqrt (/ A (* V l))))
4.0ms	(/ A (* V l))
4.0ms	(sqrt (/ A (* V l)))

series97.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(* c0 (sqrt (/ A (* V l))))
19.0ms	(/ A (* V l))
34.0ms	(sqrt (/ A (* V l)))

simplify64.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (20.0ms)

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

prune173.0ms

Filtered

75 candidates to 55 candidates (73.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	60	15	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	15	76

Merged error: 6.8b

Counts

76 → 15

localize13.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ A (* V l))
5.1b	(/ A (* V l))
16.4b	(sqrt (/ A (* V l)))
16.4b	(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
6×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

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

series103.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ A (* V l))
23.0ms	(/ A (* V l))
30.0ms	(sqrt (/ A (* V l)))
30.0ms	(sqrt (/ A (* V l)))

simplify47.0ms

Algorithm

egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	131	338
1	440	304
2	1801	304
3	5001	304

prune243.0ms

Filtered

90 candidates to 68 candidates (75.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	89	1	90
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	89	16	105

Merged error: 6.8b

Counts

105 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ A (* V l))
16.4b	(sqrt (/ A (* V l)))
17.9b	(cbrt (/ A (* V l)))
17.9b	(cbrt (/ A (* V l)))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

14×	`cbrt-prod`
13×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
5×	`pow1`
4×	`div-inv` `add-log-exp`
3×	`associate-/l*`
2×	`cbrt-undiv` `cbrt-div` `pow1/3` `div-exp`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 71

Calls

4 calls:

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

series221.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(/ A (* V l))
31.0ms	(sqrt (/ A (* V l)))
83.0ms	(cbrt (/ A (* V l)))
83.0ms	(cbrt (/ A (* V l)))

simplify59.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	206	405
1	617	352
2	2523	348
3	5001	343

prune310.0ms

Filtered

83 candidates to 65 candidates (78.3%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	81	2	83
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	83	16	99

Merged error: 6.8b

Counts

99 → 16

localize20.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ A (* V l))
13.6b	(cbrt (* V l))
16.4b	(sqrt (/ A (* V l)))
17.9b	(cbrt (/ A (* V l)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `times-frac` `add-cbrt-cube`
8×	`cbrt-prod`
7×	`sqrt-prod`
5×	`pow1`
4×	`add-log-exp`
3×	`div-inv` `associate-/l*`
2×	`cbrt-undiv` `pow1/3` `div-exp`
1×	`rem-sqrt-square` `cbrt-div` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 64

Calls

4 calls:

5.0ms	(/ A (* V l))
2.0ms	(cbrt (* V l))
4.0ms	(sqrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))

series203.0ms

Counts

4 → 12

Calls

4 calls:

20.0ms	(/ A (* V l))
69.0ms	(cbrt (* V l))
30.0ms	(sqrt (/ A (* V l)))
84.0ms	(cbrt (/ A (* V l)))

simplify60.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	248	338
1	715	295
2	2796	287
3	5001	285

prune276.0ms

Filtered

76 candidates to 59 candidates (77.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	76	16	92

Merged error: 6.8b

Counts

92 → 16

regimes646.0ms

Accuracy

58.9% (5.3b remaining)

Error of 11.6b against oracle of 6.3b and baseline of 19.2b

bsearch1.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	38	31
1	38	31

end0.0ms

sample918.0ms

Algorithm

intervals

Results

246.0ms	8904×	body	80	valid
223.0ms	8889×	body	80	nan