Details

sample84.0ms

Algorithm

intervals

Results

29.0ms	283×	body	80	valid
27.0ms	265×	body	80	nan

simplify8.0ms

Counts

1 → 1

Iterations

Iter	Nodes
2	12
1	12
0	8

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.7b	(* c0 (sqrt (/ A (* V l))))
5.4b	(/ A (* V l))
16.1b	(sqrt (/ A (* V l)))

rewrite51.0ms

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:

17.0ms	(* c0 (sqrt (/ A (* V l))))
22.0ms	(/ A (* V l))
11.0ms	(sqrt (/ A (* V l)))

series140.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(* c0 (sqrt (/ A (* V l))))
23.0ms	(/ A (* V l))
49.0ms	(sqrt (/ A (* V l)))

simplify678.0ms

Counts

78 → 78

Iterations

Iter	Nodes
3	2165
2	634
1	219
0	108

prune958.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 5.1b

localize21.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
0.7b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.1b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.1b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite100.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-exp-log`
26×	`associate-r`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`cbrt-prod`
11×	`pow1`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`sqrt-div` `associate-*r/`
4×	`insert-posit16` `add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-*l/`
2×	`sqrt-pow1` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2` `pow1/3`

Counts

4 → 110

Calls

4 calls:

1.0ms	(cbrt A)
52.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
29.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series509.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(cbrt A)
104.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
53.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
65.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify2.8s

Counts

122 → 122

Iterations

Iter	Nodes
3	7108
2	1916
1	534
0	190

prune1.5s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 3.8b

localize34.0ms

Local error

Found 4 expressions with local error:

3.1b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
3.1b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.1b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.1b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

66×	`add-sqr-sqrt`
56×	`times-frac`
46×	`add-exp-log`
44×	`associate-r`
34×	`*-un-lft-identity` `add-cube-cbrt`
32×	`add-cbrt-cube`
22×	`cbrt-prod`
16×	`prod-exp` `cbrt-unprod`
14×	`pow1` `cbrt-undiv` `div-exp` `associate-l`
12×	`unswap-sqr`
6×	`sqrt-div`
4×	`frac-times` `sqrt-pow1` `pow-prod-down` `associate-l/` `associate-r/` `insert-posit16` `div-inv` `add-log-exp`
2×	`pow1/2` `*-commutative` `sqrt-prod`

Counts

4 → 150

Calls

4 calls:

43.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
42.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
14.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
13.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
73.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
100.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
88.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.9s

Counts

162 → 162

Iterations

Iter	Nodes
3	5614
2	1567
1	422
0	148

prune2.5s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.8b

localize63.0ms

Local error

Found 4 expressions with local error:

3.8b	(cbrt (/ (cbrt A) l))
3.8b	(cbrt (/ (cbrt A) l))
16.1b	(sqrt (* (* (/ (* (cbrt A) (cbrt A)) V) (* (cbrt (/ (cbrt A) l)) (cbrt (/ (cbrt A) l)))) (cbrt (/ (cbrt A) l))))
16.1b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

62×	`cbrt-prod`
36×	`times-frac`
30×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
26×	`cbrt-div`
18×	`frac-times` `sqrt-div`
17×	`pow1`
14×	`associate-*l/`
12×	`associate-*r/`
7×	`pow-prod-down`
6×	`sqrt-pow1`
4×	`add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`pow1/2` `pow1/3` `sqrt-prod` `div-inv`

Counts

4 → 108

Calls

4 calls:

2.0ms	(cbrt (/ (cbrt A) l))
2.0ms	(cbrt (/ (cbrt A) l))
146.0ms	(sqrt (* (* (/ (* (cbrt A) (cbrt A)) V) (* (cbrt (/ (cbrt A) l)) (cbrt (/ (cbrt A) l)))) (cbrt (/ (cbrt A) l))))
17.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series611.0ms

Counts

4 → 12

Calls

4 calls:

233.0ms	(cbrt (/ (cbrt A) l))
226.0ms	(cbrt (/ (cbrt A) l))
78.0ms	(sqrt (* (* (/ (* (cbrt A) (cbrt A)) V) (* (cbrt (/ (cbrt A) l)) (cbrt (/ (cbrt A) l)))) (cbrt (/ (cbrt A) l))))
74.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify3.2s

Counts

120 → 120

Iterations

Iter	Nodes
4	7552
3	1842
2	744
1	346
0	194

prune2.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 3.8b

regimes1.1s

Accuracy

53% (6.3b remaining)

Error of 10.5b against oracle of 4.2b and baseline of 17.7b

bsearch2.0ms

simplify13.0ms

Iterations

Iter	Nodes
2	47
1	47
0	38

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	8963×	body	80	nan
840.0ms	8887×	body	80	valid