Details

sample48.0ms

Algorithm

intervals

Results

10.0ms	297×	body	80	valid
10.0ms	292×	body	80	nan

simplify16.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize21.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (/ A (* V l))))
6.5b	(/ A (* V l))
15.0b	(sqrt (/ A (* V l)))

rewrite51.0ms

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:

33.0ms	(* c0 (sqrt (/ A (* V l))))
8.0ms	(/ A (* V l))
7.0ms	(sqrt (/ A (* V l)))

series118.0ms

Counts

3 → 9

Calls

3 calls:

54.0ms	(* c0 (sqrt (/ A (* V l))))
22.0ms	(/ A (* V l))
42.0ms	(sqrt (/ A (* V l)))

simplify894.0ms

Counts: 75 → 75

prune259.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.9b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt A)
1.2b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
1.5b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
15.0b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite192.0ms

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)
92.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
60.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
34.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series489.0ms

Counts

4 → 12

Calls

4 calls:

272.0ms	(cbrt A)
84.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
64.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
69.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify965.0ms

Counts: 118 → 118

prune454.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.3b

localize36.0ms

Local error

Found 4 expressions with local error:

8.3b	(cbrt (* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))))
15.0b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
15.0b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
15.0b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite198.0ms

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:

109.0ms	(cbrt (* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))))
24.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
22.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
40.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series431.0ms

Counts

4 → 12

Calls

4 calls:

211.0ms	(cbrt (* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))))
75.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
74.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
71.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.4s

Counts: 66 → 66

prune422.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.3b

localize10.0ms

Local error

Found 3 expressions with local error:

1.2b	(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.6b	(* (/ 1 V) (/ A l))
15.0b	(sqrt (* (/ 1 V) (/ A l)))

rewrite111.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-sqr-sqrt`
27×	`add-exp-log`
25×	`times-frac`
21×	`*-un-lft-identity`
19×	`add-cube-cbrt`
17×	`associate-r` `add-cbrt-cube`
16×	`associate-l`
10×	`pow1`
9×	`prod-exp`
8×	`div-exp`
7×	`unswap-sqr`
6×	`sqrt-div` `associate-*r/`
5×	`cbrt-unprod`
4×	`cbrt-undiv`
3×	`frac-times` `pow-prod-down` `associate-*l/` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `sqrt-prod` `*-commutative` `div-inv`
1×	`pow1/2`

Counts

3 → 92

Calls

3 calls:

60.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
36.0ms	(* (/ 1 V) (/ A l))
12.0ms	(sqrt (* (/ 1 V) (/ A l)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

80.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
31.0ms	(* (/ 1 V) (/ A l))
66.0ms	(sqrt (* (/ 1 V) (/ A l)))

simplify648.0ms

Counts: 101 → 101

prune280.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 4.3b

regimes741.0ms

Accuracy

36.4% (8.7b remaining)

Error of 13.2b against oracle of 4.6b and baseline of 18.2b

bsearch1.0ms

simplify701.0ms

end0.0ms

sample2.4s

Algorithm

intervals

Results

792.0ms	9025×	body	80	nan
471.0ms	8915×	body	80	valid