Details

sample82.0ms

Algorithm

intervals

Results

18.0ms	310×	body	80	nan
17.0ms	286×	body	80	valid

simplify13.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	14	8
done	14	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.7b

localize17.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ A (* V l))))
4.4b	(/ A (* V l))
14.2b	(sqrt (/ A (* V l)))

rewrite76.0ms

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:

43.0ms	(* c0 (sqrt (/ A (* V l))))
14.0ms	(/ A (* V l))
14.0ms	(sqrt (/ A (* V l)))

series147.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* c0 (sqrt (/ A (* V l))))
31.0ms	(/ A (* V l))
43.0ms	(sqrt (/ A (* V l)))

simplify3.0s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.4s)

Iter	Nodes	Cost
0	109	705
1	222	655
2	747	607
3	3488	605
done	5001	605

prune331.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.3b

localize14.0ms

Local error

Found 4 expressions with local error:

4.4b	(/ A (* V l))
4.4b	(/ A (* V l))
14.2b	(sqrt (/ A (* V l)))
14.2b	(sqrt (/ A (* V l)))

rewrite39.0ms

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:

13.0ms	(/ A (* V l))
8.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))
7.0ms	(sqrt (/ A (* V l)))

series170.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ A (* V l))
42.0ms	(/ A (* V l))
38.0ms	(sqrt (/ A (* V l)))
54.0ms	(sqrt (/ A (* V l)))

simplify3.5s

Counts

98 → 98

Iterations

Useful iterations: 2 (81.0ms)

Iter	Nodes	Cost
0	74	762
1	137	720
2	459	652
3	2255	652
done	5000	652

prune413.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.3b

localize31.0ms

Local error

Found 4 expressions with local error:

2.5b	(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
4.4b	(/ A (* V l))
14.2b	(sqrt (/ A (* V l)))
14.2b	(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
30×	`add-exp-log`
22×	`sqrt-prod`
21×	`add-sqr-sqrt`
20×	`add-cbrt-cube`
18×	`add-cube-cbrt` `*-un-lft-identity`
12×	`cbrt-undiv` `div-exp`
11×	`associate-/r*`
9×	`cbrt-prod`
7×	`div-inv`
6×	`pow1` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*` `add-log-exp`
3×	`rem-sqrt-square`
2×	`frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `clear-num` `associate-/r/`

Counts

4 → 118

Calls

4 calls:

25.0ms	(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
15.0ms	(/ A (* V l))
13.0ms	(sqrt (/ A (* V l)))
21.0ms	(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series241.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
22.0ms	(/ A (* V l))
52.0ms	(sqrt (/ A (* V l)))
103.0ms	(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify1.4s

Counts

130 → 130

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	191	1644
1	439	1549
2	2309	1391
done	5000	1355

prune795.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.3b

localize23.0ms

Local error

Found 4 expressions with local error:

2.0b	(/ (cbrt A) (* V l))
4.4b	(/ A (* V l))
13.1b	(sqrt (/ (cbrt A) (* V l)))
14.2b	(sqrt (/ A (* V l)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

18×	`times-frac`
17×	`add-sqr-sqrt` `sqrt-prod`
15×	`add-cube-cbrt` `*-un-lft-identity`
14×	`add-exp-log`
12×	`add-cbrt-cube`
9×	`cbrt-prod` `associate-/l*`
6×	`pow1`
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 → 95

Calls

4 calls:

24.0ms	(/ (cbrt A) (* V l))
17.0ms	(/ A (* V l))
14.0ms	(sqrt (/ (cbrt A) (* V l)))
8.0ms	(sqrt (/ A (* V l)))

series346.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(/ (cbrt A) (* V l))
28.0ms	(/ A (* V l))
170.0ms	(sqrt (/ (cbrt A) (* V l)))
51.0ms	(sqrt (/ A (* V l)))

simplify932.0ms

Counts

107 → 107

Iterations

Useful iterations: 2 (132.0ms)

Iter	Nodes	Cost
0	135	892
1	244	845
2	849	770
done	5001	770

prune719.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 8.3b

regimes749.0ms

Accuracy

42.1% (7.3b remaining)

Error of 13.5b against oracle of 6.1b and baseline of 18.8b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	28	51
1	37	51
done	37	51

end0.0ms

sample2.3s

Algorithm

intervals

Results

449.0ms	8931×	body	80	nan
435.0ms	8887×	body	80	valid