Details

analyze467.0ms

Algorithm: search

sample29.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
6.0ms	104×	body	80	nan
1.0ms	27×	body	80	invalid

simplify4.0ms

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: 21.3b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.3b	(* c0 (sqrt (/ A (* V l))))
5.7b	(/ A (* V l))
18.8b	(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)))

series27.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* c0 (sqrt (/ A (* V l))))
5.0ms	(/ A (* V l))
9.0ms	(sqrt (/ A (* V l)))

simplify61.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (19.0ms)

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

prune148.0ms

Filtered

55 candidates to 75 candidates (-36.4%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	58	17	75
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	59	17	76

Merged error: 5.5b

Counts

76 → 17

localize7.0ms

Local error

Found 3 expressions with local error:

1.3b	(* c0 (sqrt (/ (/ A V) l)))
3.4b	(/ (/ A V) l)
18.8b	(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:

15.0ms	(* c0 (sqrt (/ (/ A V) l)))
6.0ms	(/ (/ A V) l)
7.0ms	(sqrt (/ (/ A V) l))

series27.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(* 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

prune273.0ms

Filtered

165 candidates to 200 candidates (-21.2%)

Pruning

17 alts after pruning (17 fresh and 0 done)

	Pruned	Kept	Total
New	189	11	200
Fresh	10	6	16
Picked	1	0	1
Done	0	0	0
Total	200	17	217

Merged error: 0.0b

Counts

217 → 17

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)

series89.0ms

Counts

4 → 12

Calls

4 calls:

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

simplify175.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (35.0ms)

Iter	Nodes	Cost
0	106	204
1	184	188
2	373	148
3	1008	144
4	4619	128
5	5001	128

prune138.0ms

Filtered

44 candidates to 56 candidates (-27.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	53	3	56
Fresh	0	16	16
Picked	0	1	1
Done	0	0	0
Total	53	20	73

Merged error: 0.0b

Counts

73 → 20

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt (cbrt V))
2.0ms	(cbrt (cbrt V))
1.0ms	(cbrt A)
1.0ms	(cbrt A)

series104.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(cbrt (cbrt V))
31.0ms	(cbrt (cbrt V))
21.0ms	(cbrt A)
21.0ms	(cbrt A)

simplify83.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (15.0ms)

Iter	Nodes	Cost
0	124	274
1	212	254
2	482	214
3	1558	206
4	5002	206

prune71.0ms

Filtered

48 candidates to 62 candidates (-29.2%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	62	20	82

Merged error: 0.0b

Counts

82 → 20

regimes983.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	14
1	15	14

end0.0ms

analyze467.0ms

Algorithm: search

sample688.0ms

Algorithm

intervals

Results

277.0ms	8000×	body	80	valid
103.0ms	2944×	body	80	nan
31.0ms	826×	body	80	invalid

Details

analyze467.0ms

sample29.0ms

simplify4.0ms

prune4.0ms

localize7.0ms

rewrite17.0ms

series27.0ms

simplify61.0ms

prune148.0ms

localize7.0ms

rewrite40.0ms

series27.0ms

simplify54.0ms

prune273.0ms

localize14.0ms

rewrite6.0ms

series89.0ms

simplify175.0ms

prune138.0ms

localize21.0ms

rewrite7.0ms

series104.0ms

simplify83.0ms

prune71.0ms

regimes983.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze467.0ms

sample688.0ms

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