Details

sample58.0ms

Algorithm

intervals

Results

12.0ms	284×	body	80	valid
12.0ms	284×	body	80	nan

simplify6.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.2b

localize18.0ms

Local error

Found 3 expressions with local error:

1.9b	(* c0 (sqrt (/ A (* V l))))
4.6b	(/ A (* V l))
15.2b	(sqrt (/ A (* V l)))

rewrite83.0ms

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:

49.0ms	(* c0 (sqrt (/ A (* V l))))
16.0ms	(/ A (* V l))
14.0ms	(sqrt (/ A (* V l)))

series174.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* c0 (sqrt (/ A (* V l))))
37.0ms	(/ A (* V l))
69.0ms	(sqrt (/ A (* V l)))

simplify2.7s

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

prune332.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.2b

localize27.0ms

Local error

Found 4 expressions with local error:

4.6b	(/ A (* V l))
4.6b	(/ A (* V l))
15.2b	(sqrt (/ A (* V l)))
15.2b	(sqrt (/ A (* V l)))

rewrite57.0ms

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:

16.0ms	(/ A (* V l))
15.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))
16.0ms	(sqrt (/ A (* V l)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(/ A (* V l))
36.0ms	(/ A (* V l))
47.0ms	(sqrt (/ A (* V l)))
46.0ms	(sqrt (/ A (* V l)))

simplify3.4s

Counts

98 → 98

Iterations

Useful iterations: 2 (68.0ms)

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

prune510.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.2b

localize23.0ms

Local error

Found 4 expressions with local error:

4.6b	(* A (/ 1 (* V l)))
4.6b	(/ A (* V l))
15.2b	(sqrt (/ A (* V l)))
15.2b	(sqrt (* A (/ 1 (* V l))))

rewrite114.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-exp-log`
18×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity` `prod-exp`
10×	`pow1`
9×	`times-frac`
8×	`sqrt-prod`
7×	`associate-r`
6×	`div-exp`
5×	`cbrt-unprod`
4×	`cbrt-undiv` `expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`sqrt-pow1` `sqrt-div` `associate-l` `div-inv` `associate-/l*`
2×	`rec-exp` `pow1/2` `1-exp` `associate-*r/` `pow-prod-down` `un-div-inv`
1×	`rem-sqrt-square` `frac-2neg` `clear-num` `associate-/r` `-commutative` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

56.0ms	(* A (/ 1 (* V l)))
9.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))
40.0ms	(sqrt (* A (/ 1 (* V l))))

series165.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* A (/ 1 (* V l)))
23.0ms	(/ A (* V l))
56.0ms	(sqrt (/ A (* V l)))
52.0ms	(sqrt (* A (/ 1 (* V l))))

simplify954.0ms

Counts

104 → 104

Iterations

Useful iterations: done (951.0ms)

Iter	Nodes	Cost
0	133	872
1	306	790
2	1514	658
done	5000	654

prune501.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.2b

localize28.0ms

Local error

Found 4 expressions with local error:

13.8b	(cbrt (/ 1 (* V l)))
13.8b	(cbrt (/ 1 (* V l)))
15.2b	(sqrt (/ A (* V l)))
15.2b	(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

rewrite178.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

7.0ms	(cbrt (/ 1 (* V l)))
13.0ms	(cbrt (/ 1 (* V l)))
14.0ms	(sqrt (/ A (* V l)))
142.0ms	(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

series285.0ms

Counts

4 → 12

Calls

4 calls:

104.0ms	(cbrt (/ 1 (* V l)))
96.0ms	(cbrt (/ 1 (* V l)))
40.0ms	(sqrt (/ A (* V l)))
44.0ms	(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

simplify9.8s

Counts

90 → 90

Iterations

Useful iterations: done (9.8s)

Iter	Nodes	Cost
0	127	1097
1	216	989
2	586	792
3	3735	745
done	5001	679

prune479.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.2b

regimes790.0ms

Accuracy

46.3% (7.2b remaining)

Error of 13.6b against oracle of 6.4b and baseline of 19.8b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	69
1	50	69
done	50	69

end0.0ms

sample2.3s

Algorithm

intervals

Results

537.0ms	8902×	body	80	nan
490.0ms	8846×	body	80	valid