Details

sample75.0ms

Algorithm

intervals

Results

17.0ms	283×	body	80	valid
15.0ms	262×	body	80	nan

simplify11.0ms

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: 18.1b

localize34.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ A (* V l))))
4.2b	(/ A (* V l))
15.9b	(sqrt (/ A (* V l)))

rewrite80.0ms

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:

48.0ms	(* c0 (sqrt (/ A (* V l))))
15.0ms	(/ A (* V l))
14.0ms	(sqrt (/ A (* V l)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* c0 (sqrt (/ A (* V l))))
38.0ms	(/ A (* V l))
68.0ms	(sqrt (/ A (* V l)))

simplify2.8s

Counts

81 → 81

Iterations

Useful iterations: 3 (1.1s)

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

prune344.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.5b

localize16.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ A (* V l))
4.2b	(/ A (* V l))
15.9b	(sqrt (/ A (* V l)))
15.9b	(sqrt (/ A (* V l)))

rewrite45.0ms

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:

8.0ms	(/ A (* V l))
13.0ms	(/ A (* V l))
9.0ms	(sqrt (/ A (* V l)))
13.0ms	(sqrt (/ A (* V l)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(/ A (* V l))
22.0ms	(/ A (* V l))
49.0ms	(sqrt (/ A (* V l)))
40.0ms	(sqrt (/ A (* V l)))

simplify3.4s

Counts

98 → 98

Iterations

Useful iterations: 2 (74.0ms)

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

prune429.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.5b

localize33.0ms

Local error

Found 4 expressions with local error:

15.9b	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
18.3b	(cbrt (/ A (* V l)))
18.3b	(cbrt (/ A (* V l)))
18.3b	(cbrt (/ A (* V l)))

rewrite118.0ms

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:

75.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
10.0ms	(cbrt (/ A (* V l)))
10.0ms	(cbrt (/ A (* V l)))
20.0ms	(cbrt (/ A (* V l)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
144.0ms	(cbrt (/ A (* V l)))
126.0ms	(cbrt (/ A (* V l)))
109.0ms	(cbrt (/ A (* V l)))

simplify671.0ms

Counts

99 → 99

Iterations

Useful iterations: done (667.0ms)

Iter	Nodes	Cost
0	122	1194
1	197	1071
2	340	875
3	931	821
done	5001	785

prune588.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.5b

localize35.0ms

Local error

Found 4 expressions with local error:

15.9b	(sqrt (/ A (* V l)))
15.9b	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (* (cbrt (sqrt (/ A (* V l)))) (cbrt (sqrt (/ A (* V l)))))))
18.3b	(cbrt (/ A (* V l)))
18.3b	(cbrt (/ A (* V l)))

rewrite106.0ms

Algorithm

rewrite-expression-head

Rules

34×	`pow1` `cbrt-div`
32×	`sqrt-div`
19×	`pow-prod-down`
17×	`frac-times`
15×	`sqrt-pow1`
14×	`cbrt-prod` `pow1/3`
11×	`add-sqr-sqrt` `associate-r/` `associate-l/`
10×	`add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
8×	`sqrt-prod`
6×	`pow-prod-up`
4×	`add-exp-log` `expm1-log1p-u` `pow-plus` `pow-sqr` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`div-inv`
2×	`pow2` `pow1/2`
1×	`rem-sqrt-square`

Counts

4 → 96

Calls

4 calls:

7.0ms	(sqrt (/ A (* V l)))
85.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (* (cbrt (sqrt (/ A (* V l)))) (cbrt (sqrt (/ A (* V l)))))))
5.0ms	(cbrt (/ A (* V l)))
5.0ms	(cbrt (/ A (* V l)))

series410.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (/ A (* V l)))
168.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (* (cbrt (sqrt (/ A (* V l)))) (cbrt (sqrt (/ A (* V l)))))))
107.0ms	(cbrt (/ A (* V l)))
94.0ms	(cbrt (/ A (* V l)))

simplify984.0ms

Counts

108 → 108

Iterations

Useful iterations: done (979.0ms)

Iter	Nodes	Cost
0	173	1615
1	327	1488
2	663	1235
3	1550	1222
done	5000	1196

prune649.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 6.5b

regimes794.0ms

Accuracy

47.7% (6.7b remaining)

Error of 13.0b against oracle of 6.3b and baseline of 19.2b

bsearch4.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	39	75
1	50	75
done	50	75

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.0s	8921×	body	80	valid
461.0ms	9001×	body	80	nan