Details

analyze482.0ms

Algorithm: search

sample27.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
4.0ms	110×	body	80	nan
1.0ms	22×	body	80	invalid

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

prune4.0ms

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: 20.6b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ A (* V l))))
4.5b	(/ A (* V l))
17.9b	(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×	`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)))

series30.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* c0 (sqrt (/ A (* V l))))
8.0ms	(/ A (* V l))
9.0ms	(sqrt (/ A (* V l)))

simplify61.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (20.0ms)

Iter	Nodes	Cost
0	214	321
1	808	296
2	3059	293
3	5001	293

prune150.0ms

Filtered

55 candidates to 75 candidates (-36.4%)

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: 7.7b

Counts

76 → 15

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ (/ A V) l)))
5.3b	(/ (/ A V) l)
17.9b	(sqrt (/ (/ A V) l))

rewrite40.0ms

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:

17.0ms	(* c0 (sqrt (/ (/ A V) l)))
6.0ms	(/ (/ A V) l)
7.0ms	(sqrt (/ (/ A V) l))

series27.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(* c0 (sqrt (/ (/ A V) l)))
5.0ms	(/ (/ A V) l)
9.0ms	(sqrt (/ (/ A V) l))

simplify54.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	581	1400
1	2022	1326
2	5001	1290

prune307.0ms

Filtered

165 candidates to 200 candidates (-21.2%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	186	14	200
Fresh	10	4	14
Picked	0	1	1
Done	0	0	0
Total	196	19	215

Merged error: 0.0b

Counts

215 → 19

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
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 l)
1.0ms	(cbrt l)
1.0ms	(cbrt A)
1.0ms	(cbrt A)

series90.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(cbrt l)
22.0ms	(cbrt l)
22.0ms	(cbrt A)
22.0ms	(cbrt A)

simplify170.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (34.0ms)

Iter	Nodes	Cost
0	106	204
1	184	188
2	373	148
3	1008	144
4	4618	128
5	5001	128

prune163.0ms

Filtered

44 candidates to 56 candidates (-27.3%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	52	4	56
Fresh	1	16	17
Picked	1	0	1
Done	0	1	1
Total	54	21	75

Merged error: 0.0b

Counts

75 → 21

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)

series89.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt A)
22.0ms	(cbrt A)
22.0ms	(cbrt A)
24.0ms	(cbrt A)

simplify121.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (23.0ms)

Iter	Nodes	Cost
0	59	204
1	101	188
2	205	148
3	559	144
4	2708	128
5	5002	128

prune76.0ms

Filtered

44 candidates to 56 candidates (-27.3%)

Pruning

21 alts after pruning (19 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	19	19
Picked	0	1	1
Done	0	1	1
Total	56	21	77

Merged error: 0.0b

Counts

77 → 21

regimes756.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	21
1	21	21

end0.0ms

analyze479.0ms

Algorithm: search

sample706.0ms

Algorithm

intervals

Results

293.0ms	8000×	body	80	valid
105.0ms	2951×	body	80	nan
31.0ms	872×	body	80	invalid

Details

analyze482.0ms

sample27.0ms

simplify5.0ms

prune4.0ms

localize7.0ms

rewrite17.0ms

series30.0ms

simplify61.0ms

prune150.0ms

localize7.0ms

rewrite40.0ms

series27.0ms

simplify54.0ms

prune307.0ms

localize16.0ms

rewrite6.0ms

series90.0ms

simplify170.0ms

prune163.0ms

localize21.0ms

rewrite6.0ms

series89.0ms

simplify121.0ms

prune76.0ms

regimes756.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze479.0ms

sample706.0ms

Profiling