Details

sample50.0ms

Algorithm

intervals

Results

11.0ms	346×	body	80	nan
10.0ms	291×	body	80	valid

simplify15.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize11.0ms

Local error

Found 3 expressions with local error:

0.9b	(* c0 (sqrt (/ A (* V l))))
5.6b	(/ A (* V l))
16.5b	(sqrt (/ A (* V l)))

rewrite75.0ms

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:

37.0ms	(* c0 (sqrt (/ A (* V l))))
25.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))

series136.0ms

Counts

3 → 9

Calls

3 calls:

63.0ms	(* c0 (sqrt (/ A (* V l))))
26.0ms	(/ A (* V l))
47.0ms	(sqrt (/ A (* V l)))

simplify974.0ms

Counts: 75 → 75

prune232.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.9b	(* (* c0 (sqrt 1)) (sqrt (/ A (* V l))))
5.6b	(/ A (* V l))
16.5b	(sqrt (/ A (* V l)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 65

Calls

3 calls:

63.0ms	(* (* c0 (sqrt 1)) (sqrt (/ A (* V l))))
12.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (* c0 (sqrt 1)) (sqrt (/ A (* V l))))
33.0ms	(/ A (* V l))
47.0ms	(sqrt (/ A (* V l)))

simplify1.6s

Counts: 74 → 74

prune297.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.2b

localize30.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt A)
0.9b	(* (* c0 (sqrt 1)) (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
5.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.5b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite244.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
30×	`add-exp-log`
28×	`times-frac`
26×	`associate-r`
23×	`add-cbrt-cube`
21×	`add-cube-cbrt` `*-un-lft-identity`
14×	`pow1` `cbrt-prod`
11×	`prod-exp` `cbrt-unprod`
8×	`associate-l`
7×	`cbrt-undiv` `div-exp`
6×	`sqrt-div` `associate-*r/` `unswap-sqr`
5×	`pow-prod-down`
4×	`add-log-exp`
3×	`frac-times` `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)
147.0ms	(* (* c0 (sqrt 1)) (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
50.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
40.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series506.0ms

Counts

4 → 12

Calls

4 calls:

256.0ms	(cbrt A)
104.0ms	(* (* c0 (sqrt 1)) (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
64.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
81.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.1s

Counts: 118 → 118

prune485.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 4.8b

localize38.0ms

Local error

Found 4 expressions with local error:

5.0b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.5b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.5b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.5b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
28×	`times-frac`
25×	`add-exp-log`
22×	`associate-r`
19×	`add-cube-cbrt` `*-un-lft-identity`
18×	`add-cbrt-cube`
15×	`pow1`
11×	`cbrt-prod`
9×	`sqrt-div`
8×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `associate-l`
6×	`sqrt-pow1` `unswap-sqr`
4×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `add-log-exp`
3×	`pow1/2` `sqrt-prod`
2×	`div-inv`
1×	`*-commutative`

Counts

4 → 101

Calls

4 calls:

55.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
23.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
23.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
29.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series264.0ms

Counts

4 → 12

Calls

4 calls:

53.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
63.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
72.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
76.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify818.0ms

Counts: 113 → 113

prune630.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 4.8b

regimes969.0ms

Accuracy

42.2% (8.0b remaining)

Error of 12.7b against oracle of 4.7b and baseline of 18.5b

bsearch2.0ms

simplify704.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

535.0ms	8914×	body	80	valid
455.0ms	8893×	body	80	nan