Details

sample108.0ms

Algorithm

intervals

Results

42.0ms	316×	body	80	nan
33.0ms	291×	body	80	valid

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	12
1	12
0	8

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.5b

localize16.0ms

Local error

Found 3 expressions with local error:

1.4b	(* c0 (sqrt (/ A (* V l))))
3.9b	(/ A (* V l))
15.4b	(sqrt (/ A (* V l)))

rewrite42.0ms

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:

18.0ms	(* c0 (sqrt (/ A (* V l))))
18.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series158.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(* c0 (sqrt (/ A (* V l))))
34.0ms	(/ A (* V l))
34.0ms	(sqrt (/ A (* V l)))

simplify1.0s

Counts

78 → 78

Iterations

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

prune881.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize43.0ms

Local error

Found 4 expressions with local error:

3.9b	(/ A (* V l))
3.9b	(/ A (* V l))
15.4b	(sqrt (/ A (* V l)))
15.4b	(sqrt (/ A (* V l)))

rewrite48.0ms

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:

13.0ms	(/ A (* V l))
13.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))
10.0ms	(sqrt (/ A (* V l)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(/ A (* V l))
34.0ms	(/ A (* V l))
62.0ms	(sqrt (/ A (* V l)))
56.0ms	(sqrt (/ A (* V l)))

simplify1.2s

Counts

94 → 94

Iterations

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

prune1.3s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize57.0ms

Local error

Found 4 expressions with local error:

15.4b	(sqrt (/ A (* V l)))
18.2b	(cbrt (/ A (* V l)))
18.2b	(cbrt (/ A (* V l)))
18.2b	(cbrt (/ A (* V l)))

rewrite18.0ms

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:

6.0ms	(sqrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))
3.0ms	(cbrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))

series449.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(sqrt (/ A (* V l)))
124.0ms	(cbrt (/ A (* V l)))
149.0ms	(cbrt (/ A (* V l)))
136.0ms	(cbrt (/ A (* V l)))

simplify1.1s

Counts

82 → 82

Iterations

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

prune1.5s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.5b

localize49.0ms

Local error

Found 4 expressions with local error:

6.6b	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
18.2b	(cbrt (/ A (* V l)))
18.2b	(cbrt (/ A (* V l)))
18.2b	(cbrt (/ A (* V l)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

21×	`cbrt-prod`
12×	`pow1`
10×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`sqrt-pow1` `times-frac` `pow1/3`
7×	`cbrt-div`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`sqrt-div` `div-inv`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `rem-sqrt-square` `pow-plus` `pow1/2` `associate-l/` `associate-r/` `sqrt-prod`

Counts

4 → 74

Calls

4 calls:

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

series819.0ms

Counts

4 → 12

Calls

4 calls:

111.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
94.0ms	(cbrt (/ A (* V l)))
101.0ms	(cbrt (/ A (* V l)))
512.0ms	(cbrt (/ A (* V l)))

simplify932.0ms

Counts

86 → 86

Iterations

Iter	Nodes
done	2000
4	2000
3	729
2	248
1	152
0	96

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.4b

regimes1.2s

Accuracy

39.7% (7.8b remaining)

Error of 14.2b against oracle of 6.4b and baseline of 19.4b

bsearch1.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	48
1	48
0	39

end0.0ms

sample2.4s

Algorithm

intervals

Results

856.0ms	8886×	body	80	valid
793.0ms	8606×	body	80	nan