Details

sample80.0ms

Algorithm

intervals

Results

27.0ms	284×	body	80	valid
26.0ms	285×	body	80	nan

simplify6.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.5b

localize39.0ms

Local error

Found 3 expressions with local error:

1.7b	(* c0 (sqrt (/ A (* V l))))
5.1b	(/ A (* V l))
12.8b	(sqrt (/ A (* V l)))

rewrite46.0ms

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×	`associate-l` `insert-posit16` `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 → 69

Calls

3 calls:

25.0ms	(* c0 (sqrt (/ A (* V l))))
11.0ms	(/ A (* V l))
8.0ms	(sqrt (/ A (* V l)))

series439.0ms

Counts

3 → 9

Calls

3 calls:

61.0ms	(* c0 (sqrt (/ A (* V l))))
338.0ms	(/ A (* V l))
40.0ms	(sqrt (/ A (* V l)))

simplify1.1s

Counts

78 → 78

Iterations

Iter	Nodes
done	2010
3	2010
2	653
1	224
0	108

prune466.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.5b

localize21.0ms

Local error

Found 3 expressions with local error:

1.7b	(* (sqrt (/ A (* V l))) c0)
5.1b	(/ A (* V l))
12.8b	(sqrt (/ A (* V l)))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `associate-l` `add-exp-log`
9×	`times-frac`
6×	`pow1`
3×	`associate-r` `insert-posit16` `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-l/` `*-commutative`

Counts

3 → 69

Calls

3 calls:

28.0ms	(* (sqrt (/ A (* V l))) c0)
11.0ms	(/ A (* V l))
8.0ms	(sqrt (/ A (* V l)))

series154.0ms

Counts

3 → 9

Calls

3 calls:

94.0ms	(* (sqrt (/ A (* V l))) c0)
22.0ms	(/ A (* V l))
38.0ms	(sqrt (/ A (* V l)))

simplify929.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	2001
3	2001
2	819
1	256
0	118

prune471.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.5b

localize19.0ms

Local error

Found 4 expressions with local error:

5.1b	(/ A (* V l))
5.1b	(/ A (* V l))
12.8b	(sqrt (/ A (* V l)))
12.8b	(sqrt (/ A (* V l)))

rewrite39.0ms

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×	`cbrt-undiv` `div-exp` `insert-posit16` `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 → 82

Calls

4 calls:

14.0ms	(/ A (* V l))
13.0ms	(/ A (* V l))
6.0ms	(sqrt (/ A (* V l)))
5.0ms	(sqrt (/ A (* V l)))

series164.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(/ A (* V l))
26.0ms	(/ A (* V l))
53.0ms	(sqrt (/ A (* V l)))
61.0ms	(sqrt (/ A (* V l)))

simplify1.1s

Counts

94 → 94

Iterations

Iter	Nodes
done	2009
4	2009
3	1453
2	433
1	142
0	74

prune684.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.5b

localize53.0ms

Local error

Found 4 expressions with local error:

12.8b	(sqrt (/ A (* V l)))
15.1b	(cbrt (/ A (* V l)))
15.1b	(cbrt (/ A (* V l)))
15.1b	(cbrt (/ A (* V l)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
13×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
7×	`sqrt-prod`
5×	`pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `sqrt-div`

Counts

4 → 70

Calls

4 calls:

8.0ms	(sqrt (/ A (* V l)))
5.0ms	(cbrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))
6.0ms	(cbrt (/ A (* V l)))

series370.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(sqrt (/ A (* V l)))
106.0ms	(cbrt (/ A (* V l)))
98.0ms	(cbrt (/ A (* V l)))
119.0ms	(cbrt (/ A (* V l)))

simplify929.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2003
4	2003
3	676
2	282
1	140
0	91

prune786.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.5b

regimes1.1s

Accuracy

53.2% (5.7b remaining)

Error of 12.5b against oracle of 6.7b and baseline of 19.0b

bsearch3.0ms

simplify9.0ms

Iterations

Iter	Nodes
done	40
1	40
0	32

end0.0ms

sample2.3s

Algorithm

intervals

Results

861.0ms	8909×	body	80	nan
732.0ms	8873×	body	80	valid