Details

sample44.0ms

Algorithm

intervals

Results

10.0ms	295×	body	80	nan
10.0ms	281×	body	80	valid

simplify3.0ms

Counts: 1 → 1

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.1b

localize9.0ms

Local error

Found 3 expressions with local error:

1.8b	(* c0 (sqrt (/ A (* V l))))
5.4b	(/ A (* V l))
15.9b	(sqrt (/ A (* V l)))

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
15×	`sqrt-prod`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`add-exp-log` `associate-r` `add-cbrt-cube`
9×	`times-frac`
6×	`pow1`
3×	`associate-l` `div-inv` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sqrt-div` `div-exp` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `clear-num` `associate-/r` `*-commutative`

Counts

3 → 66

Calls

3 calls:

35.0ms	(* c0 (sqrt (/ A (* V l))))
8.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

58.0ms	(* c0 (sqrt (/ A (* V l))))
22.0ms	(/ A (* V l))
35.0ms	(sqrt (/ A (* V l)))

simplify58.0ms

Counts: 75 → 75

prune208.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
1.8b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.7b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.9b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-exp-log`
26×	`associate-r`
22×	`add-cube-cbrt` `*-un-lft-identity`
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×	`add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-*l/`
2×	`sqrt-pow1` `sqrt-prod` `*-commutative` `div-inv`
1×	`pow1/2` `pow1/3`

Counts

4 → 106

Calls

4 calls:

1.0ms	(cbrt A)
77.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
39.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
28.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series390.0ms

Counts

4 → 12

Calls

4 calls:

202.0ms	(cbrt A)
80.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
52.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
56.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify61.0ms

Counts: 118 → 118

prune377.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 3.7b

localize32.0ms

Local error

Found 4 expressions with local error:

7.1b	(cbrt (* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))))
15.9b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
15.9b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
15.9b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite143.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
12×	`sqrt-div`
7×	`associate-*r/`
6×	`sqrt-pow1`
4×	`add-exp-log` `add-sqr-sqrt` `frac-times` `add-cube-cbrt` `-un-lft-identity` `associate-l/` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/2` `pow-prod-down` `sqrt-prod`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 54

Calls

4 calls:

70.0ms	(cbrt (* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))))
22.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
28.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
22.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series356.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(cbrt (* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))))
63.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
56.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
61.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify100.0ms

Counts: 66 → 66

prune312.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 3.7b

localize10.0ms

Local error

Found 3 expressions with local error:

1.8b	(* c0 (sqrt (/ (/ A V) l)))
4.2b	(/ (/ A V) l)
15.9b	(sqrt (/ (/ A V) l))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

213×	`times-frac`
134×	`add-sqr-sqrt`
117×	`add-cube-cbrt` `*-un-lft-identity`
89×	`sqrt-prod`
46×	`associate-r`
13×	`div-inv` `associate-/l*`
10×	`add-exp-log` `add-cbrt-cube`
6×	`pow1`
4×	`unswap-sqr`
3×	`cbrt-undiv` `rem-sqrt-square` `div-exp` `associate-l` `associate-/r*` `add-log-exp`
2×	`sqrt-div`
1×	`frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `pow-prod-down` `prod-exp` `clear-num` `-commutative` `cbrt-unprod` `associate-/l/`

Counts

3 → 191

Calls

3 calls:

35.0ms	(* c0 (sqrt (/ (/ A V) l)))
17.0ms	(/ (/ A V) l)
10.0ms	(sqrt (/ (/ A V) l))

series117.0ms

Counts

3 → 9

Calls

3 calls:

53.0ms	(* c0 (sqrt (/ (/ A V) l)))
22.0ms	(/ (/ A V) l)
42.0ms	(sqrt (/ (/ A V) l))

simplify56.0ms

Counts: 200 → 200

prune607.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 0.1b

regimes407.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.8s

Algorithm

intervals

Results

574.0ms	8886×	body	80	valid
334.0ms	8886×	body	80	nan