Details

sample33.0ms

Algorithm

intervals

Results

8.0ms	286×	body	80	valid
7.0ms	287×	body	80	nan

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	8
1	12	8
2	14	8
done	14	8

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.1b

localize7.0ms

Local error

Found 3 expressions with local error:

0.7b	(* c0 (sqrt (/ A (* V l))))
6.8b	(/ A (* V l))
15.2b	(sqrt (/ A (* V l)))

rewrite19.0ms

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:

11.0ms	(* c0 (sqrt (/ A (* V l))))
3.0ms	(/ A (* V l))
3.0ms	(sqrt (/ A (* V l)))

series105.0ms

Counts

3 → 9

Calls

3 calls:

52.0ms	(* c0 (sqrt (/ A (* V l))))
21.0ms	(/ A (* V l))
32.0ms	(sqrt (/ A (* V l)))

simplify672.0ms

Counts

75 → 75

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	103	661
1	213	613
2	655	561
3	2036	561
done	5000	561

prune195.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 6.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
0.7b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
4.7b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.2b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite86.0ms

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)
45.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
24.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
13.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series351.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(cbrt A)
72.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
48.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
52.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify682.0ms

Counts

118 → 118

Iterations

Useful iterations: 2 (164.0ms)

Iter	Nodes	Cost
0	185	1720
1	520	1626
2	2157	1155
done	5000	1155

prune377.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 3.7b

localize7.0ms

Local error

Found 3 expressions with local error:

0.7b	(* c0 (sqrt (/ (/ A V) l)))
6.3b	(/ (/ A V) l)
15.2b	(sqrt (/ (/ A V) l))

rewrite54.0ms

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:

26.0ms	(* c0 (sqrt (/ (/ A V) l)))
9.0ms	(/ (/ A V) l)
8.0ms	(sqrt (/ (/ A V) l))

series103.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* c0 (sqrt (/ (/ A V) l)))
26.0ms	(/ (/ A V) l)
32.0ms	(sqrt (/ (/ A V) l))

simplify140.0ms

Iterations

Useful iterations: 1 (56.0ms)

Iter	Nodes	Cost
0	310	2510
1	587	2324