Details

sample83.0ms

Algorithm

intervals

Results

19.0ms	282×	body	80	valid
17.0ms	252×	body	80	nan

simplify12.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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: 19.8b

localize16.0ms

Local error

Found 3 expressions with local error:

1.3b	(* c0 (sqrt (/ A (* V l))))
3.9b	(/ A (* V l))
16.8b	(sqrt (/ A (* V l)))

rewrite65.0ms

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:

36.0ms	(* c0 (sqrt (/ A (* V l))))
20.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))

series145.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(* c0 (sqrt (/ A (* V l))))
33.0ms	(/ A (* V l))
45.0ms	(sqrt (/ A (* V l)))

simplify4.4s

Counts

81 → 81

Iterations

Useful iterations: 2 (118.0ms)

Iter	Nodes	Cost
0	109	705
1	214	655
2	591	605
3	2007	605
done	5000	605

prune328.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.8b

localize10.0ms

Local error

Found 3 expressions with local error:

1.3b	(* (sqrt (/ A (* V l))) c0)
3.9b	(/ A (* V l))
16.8b	(sqrt (/ A (* V l)))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `associate-l` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1`
3×	`expm1-log1p-u` `associate-r` `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` `pow-prod-down` `associate-l/` `clear-num` `associate-/r` `*-commutative`

Counts

3 → 72

Calls

3 calls:

56.0ms	(* (sqrt (/ A (* V l))) c0)
14.0ms	(/ A (* V l))
12.0ms	(sqrt (/ A (* V l)))

series214.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(* (sqrt (/ A (* V l))) c0)
32.0ms	(/ A (* V l))
50.0ms	(sqrt (/ A (* V l)))

simplify3.2s

Counts

81 → 81

Iterations

Useful iterations: 2 (231.0ms)

Iter	Nodes	Cost
0	119	725
1	246	684
2	760	632
3	2783	632
done	5000	632

prune289.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.8b

localize13.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ A (* V l))
3.9b	(/ A (* V l))
16.8b	(sqrt (/ A (* V l)))
16.8b	(sqrt (/ A (* V l)))

rewrite54.0ms

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:

21.0ms	(/ A (* V l))
14.0ms	(/ A (* V l))
9.0ms	(sqrt (/ A (* V l)))
7.0ms	(sqrt (/ A (* V l)))

series156.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ A (* V l))
28.0ms	(/ A (* V l))
52.0ms	(sqrt (/ A (* V l)))
53.0ms	(sqrt (/ A (* V l)))

simplify6.3s

Counts

98 → 98

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	74	762
1	134	720
2	397	652
3	1543	652
4	4940	652
done	5000	652

prune358.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.8b

localize29.0ms

Local error

Found 4 expressions with local error:

16.8b	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
19.2b	(cbrt (/ A (* V l)))
19.2b	(cbrt (/ A (* V l)))
19.2b	(cbrt (/ A (* V l)))

rewrite57.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
21×	`cbrt-prod`
15×	`cbrt-div` `sqrt-pow1`
12×	`pow1/3`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-up`
7×	`sqrt-div`
6×	`pow-plus`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`associate-*r/` `pow-sqr` `div-inv`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 87

Calls

4 calls:

39.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
5.0ms	(cbrt (/ A (* V l)))
5.0ms	(cbrt (/ A (* V l)))
5.0ms	(cbrt (/ A (* V l)))

series417.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
127.0ms	(cbrt (/ A (* V l)))
91.0ms	(cbrt (/ A (* V l)))
112.0ms	(cbrt (/ A (* V l)))

simplify2.5s

Counts

99 → 99

Iterations

Useful iterations: done (2.5s)

Iter	Nodes	Cost
0	122	1194
1	190	1071
2	323	875
3	793	821
4	2183	785
done	5000	728

prune500.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 6.8b

regimes676.0ms

Accuracy

52.8% (6.1b remaining)

Error of 12.6b against oracle of 6.5b and baseline of 19.5b

bsearch5.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	40	70
1	49	70
done	49	70

end0.0ms

sample2.2s

Algorithm

intervals

Results

805.0ms	9089×	body	80	nan
409.0ms	8901×	body	80	valid