Details

sample45.0ms

Algorithm

intervals

Results

11.0ms	287×	body	80	valid
10.0ms	289×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.3b

localize13.0ms

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)))

rewrite44.0ms

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:

20.0ms	(* c0 (sqrt (/ A (* V l))))
17.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series119.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* c0 (sqrt (/ A (* V l))))
21.0ms	(/ A (* V l))
45.0ms	(sqrt (/ A (* V l)))

simplify1.6s

Counts

81 → 81

Iterations

Iter	Nodes
done	5050
3	2877
2	681
1	225
0	111

prune668.0ms

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)))

rewrite40.0ms

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:

11.0ms	(/ A (* V l))
12.0ms	(/ A (* V l))
9.0ms	(sqrt (/ A (* V l)))
6.0ms	(sqrt (/ A (* V l)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ A (* V l))
25.0ms	(/ A (* V l))
41.0ms	(sqrt (/ A (* V l)))
39.0ms	(sqrt (/ A (* V l)))

simplify5.8s

Counts

98 → 98

Iterations

Iter	Nodes
done	5001
4	4749
3	1431
2	399
1	141
0	76

prune846.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.6b

localize67.0ms

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)))

rewrite62.0ms

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:

40.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
5.0ms	(cbrt (/ A (* V l)))
7.0ms	(cbrt (/ A (* V l)))
7.0ms	(cbrt (/ A (* V l)))

series421.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
131.0ms	(cbrt (/ A (* V l)))
123.0ms	(cbrt (/ A (* V l)))
100.0ms	(cbrt (/ A (* V l)))

simplify1.7s

Counts

99 → 99

Iterations

Iter	Nodes
done	5001
4	2073
3	728
2	331
1	194
0	124

prune990.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 8.6b

localize86.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`sqrt-prod`
6×	`times-frac`
5×	`pow1`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
2×	`div-inv`
1×	`rem-sqrt-square` `cbrt-div` `sqrt-pow1` `pow1/2` `sqrt-div`

Counts

4 → 60

Calls

4 calls:

3.0ms	(cbrt (* V l))
3.0ms	(cbrt (* V l))
11.0ms	(sqrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

105.0ms	(cbrt (* V l))
116.0ms	(cbrt (* V l))
49.0ms	(sqrt (/ A (* V l)))
126.0ms	(cbrt (/ A (* V l)))

simplify2.0s

Counts

72 → 72

Iterations

Iter	Nodes
done	5005
4	2773
3	906
2	375
1	185
0	111

prune737.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.6b

regimes1.8s

Accuracy

52.9% (6.1b remaining)

Error of 12.3b against oracle of 6.3b and baseline of 19.2b

bsearch3.0ms

simplify13.0ms

Iterations

Iter	Nodes
done	45
1	45
0	36

end0.0ms

sample2.4s

Algorithm

intervals

Results

896.0ms	8927×	body	80	valid
566.0ms	8855×	body	80	nan