Details

sample51.0ms

Algorithm

intervals

Results

11.0ms	283×	body	80	valid
10.0ms	262×	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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize26.0ms

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)))

rewrite67.0ms

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:

42.0ms	(* c0 (sqrt (/ A (* V l))))
12.0ms	(/ A (* V l))
9.0ms	(sqrt (/ A (* V l)))

series161.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* c0 (sqrt (/ A (* V l))))
33.0ms	(/ A (* V l))
60.0ms	(sqrt (/ A (* V l)))

simplify2.3s

Counts

75 → 75

Iterations

Useful iterations: 3 (981.0ms)

Iter	Nodes	Cost
0	103	661
1	218	611
2	756	563
3	3464	561
done	5000	561

prune263.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.5b

localize14.0ms

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)))

rewrite60.0ms

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` `div-exp` `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 → 78

Calls

4 calls:

14.0ms	(/ A (* V l))
21.0ms	(/ A (* V l))
11.0ms	(sqrt (/ A (* V l)))
11.0ms	(sqrt (/ A (* V l)))

series153.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ A (* V l))
30.0ms	(/ A (* V l))
47.0ms	(sqrt (/ A (* V l)))
48.0ms	(sqrt (/ A (* V l)))

simplify3.2s

Counts

90 → 90

Iterations

Useful iterations: 2 (79.0ms)

Iter	Nodes	Cost
0	70	710
1	135	668
2	453	600
3	2106	600
done	5000	600

prune438.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.5b

localize36.0ms

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)))

rewrite97.0ms

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` `add-cbrt-cube` `add-log-exp`
3×	`associate-*r/` `pow-sqr` `div-inv`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 79

Calls

4 calls:

71.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
7.0ms	(cbrt (/ A (* V l)))
7.0ms	(cbrt (/ A (* V l)))
8.0ms	(cbrt (/ A (* V l)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
95.0ms	(cbrt (/ A (* V l)))
92.0ms	(cbrt (/ A (* V l)))
108.0ms	(cbrt (/ A (* V l)))

simplify523.0ms

Counts

91 → 91

Iterations

Useful iterations: done (519.0ms)

Iter	Nodes	Cost
0	118	1108
1	190	985
2	333	813
3	929	765
done	5001	729

prune370.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.5b

localize28.0ms

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)))

rewrite121.0ms

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` `pow-plus` `pow-sqr` `add-cbrt-cube` `add-log-exp`
3×	`div-inv`
2×	`pow2` `pow1/2`
1×	`rem-sqrt-square`

Counts

4 → 88

Calls

4 calls:

7.0ms	(sqrt (/ A (* V l)))
101.0ms	(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)))

series427.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(sqrt (/ A (* V l)))
180.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (* (cbrt (sqrt (/ A (* V l)))) (cbrt (sqrt (/ A (* V l)))))))
105.0ms	(cbrt (/ A (* V l)))
92.0ms	(cbrt (/ A (* V l)))

simplify968.0ms

Counts

100 → 100

Iterations

Useful iterations: done (964.0ms)

Iter	Nodes	Cost
0	167	1511
1	318	1389
2	647	1163
3	1513	1148
done	5000	1123

prune551.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 6.5b

regimes871.0ms

Accuracy

47.7% (6.7b remaining)

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

bsearch2.0ms

simplify10.0ms

Iterations

Useful iterations: 0 (2.0ms)

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

end0.0ms

sample2.0s

Algorithm

intervals

Results

478.0ms	8921×	body	80	valid
401.0ms	9001×	body	80	nan