Details

sample38.0ms

Algorithm

intervals

Results

10.0ms	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

prune3.0ms

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)))

rewrite20.0ms

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:

8.0ms	(* c0 (sqrt (/ A (* V l))))
5.0ms	(/ A (* V l))
4.0ms	(sqrt (/ A (* V l)))

series109.0ms

Counts

3 → 9

Calls

3 calls:

49.0ms	(* c0 (sqrt (/ A (* V l))))
25.0ms	(/ A (* V l))
35.0ms	(sqrt (/ A (* V l)))

simplify68.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 2 (22.0ms)

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

prune224.0ms

Filtered

81 candidates to 61 candidates (75.3%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	67	14	81
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	14	82

Merged error: 7.6b

Counts

82 → 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))

rewrite49.0ms

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` `expm1-log1p-u` `rem-sqrt-square` `div-exp` `associate-l` `associate-/r*` `log1p-expm1-u` `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 → 197

Calls

3 calls:

21.0ms	(* c0 (sqrt (/ (/ A V) l)))
7.0ms	(/ (/ A V) l)
8.0ms	(sqrt (/ (/ A V) l))

series111.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* c0 (sqrt (/ (/ A V) l)))
22.0ms	(/ (/ A V) l)
35.0ms	(sqrt (/ (/ A V) l))

simplify58.0ms

Algorithm

egg-herbie

Counts

206 → 206

Iterations

Useful iterations: 2 (42.0ms)

Iter	Nodes	Cost
0	584	1424
1	2014	1350
2	5001	1314

prune652.0ms

Filtered

206 candidates to 171 candidates (83.0%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	191	15	206
Fresh	10	3	13
Picked	0	1	1
Done	0	0	0
Total	201	19	220

Merged error: 0.1b

Counts

220 → 19

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series726.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt V)
185.0ms	(cbrt V)
178.0ms	(cbrt A)
179.0ms	(cbrt A)

simplify52.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (7.0ms)

Iter	Nodes	Cost
0	73	172
1	149	160
2	350	152
3	1283	152
4	5001	152

prune327.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	61	3	64
Fresh	2	15	17
Picked	1	0	1
Done	0	1	1
Total	64	19	83

Merged error: 0.1b

Counts

83 → 19

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

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

series742.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt A)
180.0ms	(cbrt A)
181.0ms	(cbrt A)
187.0ms	(cbrt A)

simplify131.0ms

Algorithm

egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 2 (5.0ms)

Iter	Nodes	Cost
0	42	172
1	83	160
2	195	152
3	699	152
4	4132	152
5	5001	152

prune309.0ms

Filtered

64 candidates to 56 candidates (87.5%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	62	2	64
Fresh	1	16	17
Picked	0	1	1
Done	0	1	1
Total	63	20	83

Merged error: 0.1b

Counts

83 → 20

regimes694.0ms

Accuracy

0% (1.2b 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	21
1	21	21

end0.0ms

sample951.0ms

Algorithm

intervals

Results

246.0ms	8901×	body	80	valid
227.0ms	8864×	body	80	nan