Details

sample87.0ms

Algorithm

intervals

Results

32.0ms	291×	body	80	valid
27.0ms	316×	body	80	nan

simplify7.0ms

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

localize14.0ms

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)))

rewrite41.0ms

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` `insert-posit16` `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 → 75

Calls

3 calls:

28.0ms	(* c0 (sqrt (/ A (* V l))))
7.0ms	(/ A (* V l))
6.0ms	(sqrt (/ A (* V l)))

series170.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* c0 (sqrt (/ A (* V l))))
35.0ms	(/ A (* V l))
55.0ms	(sqrt (/ A (* V l)))

simplify944.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	2000
3	2000
2	714
1	230
0	114

prune928.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize38.0ms

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)))

rewrite57.0ms

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` `insert-posit16` `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 → 90

Calls

4 calls:

13.0ms	(/ A (* V l))
14.0ms	(/ A (* V l))
16.0ms	(sqrt (/ A (* V l)))
11.0ms	(sqrt (/ A (* V l)))

series137.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(/ A (* V l))
24.0ms	(/ A (* V l))
49.0ms	(sqrt (/ A (* V l)))
38.0ms	(sqrt (/ A (* V l)))

simplify1.3s

Counts

102 → 102

Iterations

Iter	Nodes
done	2011
4	2011
3	1417
2	398
1	141
0	78

prune1.5s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 6.5b

localize53.0ms

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)))

rewrite38.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`cbrt-div` `pow1/3`
1×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `sqrt-div`

Counts

4 → 78

Calls

4 calls:

18.0ms	(sqrt (/ A (* V l)))
7.0ms	(cbrt (/ A (* V l)))
7.0ms	(cbrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))

series428.0ms

Counts

4 → 12

Calls

4 calls:

62.0ms	(sqrt (/ A (* V l)))
144.0ms	(cbrt (/ A (* V l)))
113.0ms	(cbrt (/ A (* V l)))
109.0ms	(cbrt (/ A (* V l)))

simplify1.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	2000
4	2000
3	697
2	290
1	144
0	95

prune1.7s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 6.5b

localize25.0ms

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)))

rewrite25.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `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 → 82

Calls

4 calls:

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

series463.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
119.0ms	(cbrt (/ A (* V l)))
116.0ms	(cbrt (/ A (* V l)))
113.0ms	(cbrt (/ A (* V l)))

simplify1.0s

Counts

94 → 94

Iterations

Iter	Nodes
done	2002
4	2002
3	839
2	282
1	156
0	100

prune1.5s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 6.4b

regimes1.3s

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

sample3.1s

Algorithm

intervals

Results

1.4s	8606×	body	80	nan
999.0ms	8886×	body	80	valid