Details

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 27.197266%

Guaranteed chance to sample good point: 56.338028%

Results

14.0ms	283×	body	80	valid
4.0ms	128×	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

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: 15.5b

Counts

2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.9b	(* c0 (sqrt (/ A (* V l))))
4.8b	(/ A (* V l))
12.7b	(sqrt (/ A (* V l)))

rewrite16.0ms

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)))

simplify60.0ms

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

prune131.0ms

Filtered

55 candidates to 75 candidates (-36.4%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	63	12	75
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	63	13	76

Merged error: 5.3b

Counts

76 → 13

localize6.0ms

Local error

Found 3 expressions with local error:

0.9b	(* c0 (sqrt (/ (/ A V) l)))
4.1b	(/ (/ A V) l)
12.7b	(sqrt (/ (/ A V) l))

rewrite37.0ms

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))

series29.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(* c0 (sqrt (/ (/ A V) l)))
4.0ms	(/ (/ A V) l)
8.0ms	(sqrt (/ (/ A V) l))

simplify54.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 2 (38.0ms)

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

prune256.0ms

Filtered

164 candidates to 200 candidates (-22.0%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	191	9	200
Fresh	5	6	11
Picked	0	1	1
Done	0	1	1
Total	196	17	213

Merged error: 0.0b

Counts

213 → 17

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt V)
0.6b	(cbrt V)

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 V)
1.0ms	(cbrt V)

series86.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(cbrt l)
21.0ms	(cbrt l)
21.0ms	(cbrt V)
22.0ms	(cbrt V)

simplify168.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 4 (33.0ms)

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

prune118.0ms

Filtered

44 candidates to 56 candidates (-27.3%)

Pruning

17 alts after pruning (14 fresh and 3 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	1	13	14
Picked	0	1	1
Done	0	2	2
Total	56	17	73

Merged error: 0.0b

Counts

73 → 17

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
0.6b	(cbrt V)
0.6b	(cbrt V)
5.6b	(sqrt (/ (/ (cbrt A) (cbrt V)) l))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

237×	`times-frac`
138×	`add-sqr-sqrt`
124×	`sqrt-prod`
123×	`add-cube-cbrt` `*-un-lft-identity`
121×	`cbrt-prod`
6×	`rem-sqrt-square`
5×	`pow1`
4×	`add-exp-log` `add-cbrt-cube` `div-inv` `add-log-exp`
3×	`pow1/3`
1×	`sqrt-pow1` `pow1/2` `sqrt-div`

Counts

4 → 173

Calls

4 calls:

1.0ms	(cbrt A)
1.0ms	(cbrt V)
1.0ms	(cbrt V)
16.0ms	(sqrt (/ (/ (cbrt A) (cbrt V)) l))

series100.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(cbrt A)
21.0ms	(cbrt V)
21.0ms	(cbrt V)
37.0ms	(sqrt (/ (/ (cbrt A) (cbrt V)) l))

simplify74.0ms

Algorithm

egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	909	2194
1	2981	2141
2	5001	2037

prune185.0ms

Filtered

136 candidates to 185 candidates (-36.0%)

Pruning

19 alts after pruning (15 fresh and 4 done)

	Pruned	Kept	Total
New	183	2	185
Fresh	0	13	13
Picked	0	1	1
Done	0	3	3
Total	183	19	202

Merged error: 0.0b

Counts

202 → 19

regimes1.2s

Accuracy

0% (1.1b 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	15	14
1	15	14

end0.0ms

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 27.197266%

Guaranteed chance to sample good point: 56.338028%

Results

333.0ms	8867×	body	80	valid
155.0ms	4214×	body	80	nan

Details

sample1.3s

simplify5.0ms

prune4.0ms

localize7.0ms

rewrite16.0ms

series27.0ms

simplify60.0ms

prune131.0ms

localize6.0ms

rewrite37.0ms

series29.0ms

simplify54.0ms

prune256.0ms

localize16.0ms

rewrite6.0ms

series86.0ms

simplify168.0ms

prune118.0ms

localize12.0ms

rewrite30.0ms

series100.0ms

simplify74.0ms

prune185.0ms

regimes1.2s

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.3s

Profiling