Details

sample81.0ms

Algorithm

intervals

Results

29.0ms	289×	body	80	nan
17.0ms	287×	body	80	valid

simplify4.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	14
2	14
1	12
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize20.0ms

Local error

Found 3 expressions with local error:

1.5b	(* c0 (sqrt (/ A (* V l))))
5.8b	(/ A (* V l))
16.6b	(sqrt (/ A (* V l)))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `associate-r` `add-exp-log`
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` `clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `pow-prod-down` `associate-r/` `*-commutative`

Counts

3 → 72

Calls

3 calls:

18.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* c0 (sqrt (/ A (* V l))))
34.0ms	(/ A (* V l))
58.0ms	(sqrt (/ A (* V l)))

simplify2.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5001
3	4743
2	895
1	225
0	111

prune605.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.6b

localize29.0ms

Local error

Found 4 expressions with local error:

5.8b	(/ A (* V l))
5.8b	(/ A (* V l))
16.6b	(sqrt (/ A (* V l)))
16.6b	(sqrt (/ A (* V l)))

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt` `add-cbrt-cube` `add-exp-log` `sqrt-prod`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
6×	`pow1` `associate-/l*`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `associate-/r*` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `cbrt-unprod`

Counts

4 → 86

Calls

4 calls:

6.0ms	(/ A (* V l))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))
7.0ms	(sqrt (/ A (* V l)))

series144.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ A (* V l))
35.0ms	(/ A (* V l))
39.0ms	(sqrt (/ A (* V l)))
35.0ms	(sqrt (/ A (* V l)))

simplify3.6s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
3	2302
2	482
1	141
0	76

prune811.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.6b

localize75.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
19.6b	(cbrt (/ A (* V l)))
19.6b	(cbrt (/ A (* V l)))
19.6b	(cbrt (/ A (* V l)))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

30.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
8.0ms	(cbrt (/ A (* V l)))
7.0ms	(cbrt (/ A (* V l)))
7.0ms	(cbrt (/ A (* V l)))

series460.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
151.0ms	(cbrt (/ A (* V l)))
114.0ms	(cbrt (/ A (* V l)))
119.0ms	(cbrt (/ A (* V l)))

simplify1.0s

Counts

99 → 99

Iterations

Iter	Nodes
done	5000
3	941
2	346
1	199
0	124

prune748.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.6b

localize60.0ms

Local error

Found 4 expressions with local error:

5.8b	(/ A (* V l))
16.5b	(cbrt (* V l))
16.6b	(sqrt (/ A (* V l)))
19.6b	(cbrt (/ A (* V l)))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

6.0ms	(/ A (* V l))
2.0ms	(cbrt (* V l))
5.0ms	(sqrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))

series288.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ A (* V l))
104.0ms	(cbrt (* V l))
49.0ms	(sqrt (/ A (* V l)))
113.0ms	(cbrt (/ A (* V l)))

simplify2.5s

Counts

84 → 84

Iterations

Iter	Nodes
done	5001
3	3998
2	773
1	260
0	138

prune743.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.6b

regimes1.6s

Accuracy

50.8% (6.1b remaining)

Error of 12.3b against oracle of 6.3b and baseline of 18.6b

bsearch2.0ms

simplify10.0ms

Iterations

Iter	Nodes
done	45
1	45
0	36

end0.0ms

sample1.5s

Algorithm

intervals

Results

406.0ms	8855×	body	80	nan
381.0ms	8927×	body	80	valid