Details

sample32.0ms

Algorithm

intervals

Results

7.0ms	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

localize9.0ms

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)))

rewrite17.0ms

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×	`expm1-log1p-u` `associate-l` `log1p-expm1-u` `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 → 72

Calls

3 calls:

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

series95.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* c0 (sqrt (/ A (* V l))))
19.0ms	(/ A (* V l))
30.0ms	(sqrt (/ A (* V l)))

simplify64.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	215	345
1	819	320
2	3061	317
3	5001	317

prune186.0ms

Filtered

81 candidates to 61 candidates (75.3%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	66	15	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	15	82

Merged error: 6.8b

Counts

82 → 15

localize9.0ms

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)))

rewrite20.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `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 → 86

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)))

series100.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ A (* V l))
19.0ms	(/ A (* V l))
30.0ms	(sqrt (/ A (* V l)))
30.0ms	(sqrt (/ A (* V l)))

simplify47.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	135	366
1	444	332
2	1805	332
3	5001	332

prune272.0ms

Filtered

98 candidates to 76 candidates (77.6%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	97	1	98
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	97	16	113

Merged error: 6.8b

Counts

113 → 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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 79

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)))

series211.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ A (* V l))
33.0ms	(sqrt (/ A (* V l)))
79.0ms	(cbrt (/ A (* V l)))
81.0ms	(cbrt (/ A (* V l)))

simplify57.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	212	435
1	623	382
2	2539	378
3	5002	377

prune347.0ms

Filtered

91 candidates to 73 candidates (80.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	89	2	91
Fresh	1	13	14
Picked	1	0	1
Done	0	1	1
Total	91	16	107

Merged error: 6.8b

Counts

107 → 16

localize23.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 72

Calls

4 calls:

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

series201.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ A (* V l))
69.0ms	(cbrt (* V l))
31.0ms	(sqrt (/ A (* V l)))
82.0ms	(cbrt (/ A (* V l)))

simplify62.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 3 (57.0ms)

Iter	Nodes	Cost
0	256	366
1	729	323
2	2829	315
3	5001	313

prune319.0ms

Filtered

84 candidates to 67 candidates (79.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	0	14	14
Picked	1	0	1
Done	0	1	1
Total	84	16	100

Merged error: 6.8b

Counts

100 → 16

regimes605.0ms

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

sample903.0ms

Algorithm

intervals

Results

248.0ms	8904×	body	80	valid
219.0ms	8889×	body	80	nan