Details

sample78.0ms

Algorithm

intervals

Results

28.0ms	271×	body	80	valid
25.0ms	255×	body	80	nan

simplify14.0ms

Counts: 1 → 1

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.1b

localize37.0ms

Local error

Found 3 expressions with local error:

17.0b	(sqrt (/ A (* V l)))
7.5b	(/ A (* V l))
1.1b	(* c0 (sqrt (/ A (* V l))))

rewrite29.0ms

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:

Slowest

16.0ms	(* c0 (sqrt (/ A (* V l))))
6.0ms	(/ A (* V l))
5.0ms	(sqrt (/ A (* V l)))

series153.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

82.0ms	(* c0 (sqrt (/ A (* V l))))
47.0ms	(sqrt (/ A (* V l)))
24.0ms	(/ A (* V l))

simplify1.2s

Counts: 78 → 78

prune897.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 7.9b

localize25.0ms

Local error

Found 3 expressions with local error:

17.0b	(sqrt (* (/ 1 V) (/ A l)))
3.2b	(* (/ 1 V) (/ A l))
1.1b	(* c0 (sqrt (* (/ 1 V) (/ A l))))

rewrite68.0ms

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×	`add-cbrt-cube` `associate-r`
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/` `insert-posit16` `add-log-exp`
2×	`rec-exp` `sqrt-pow1` `1-exp` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2`

Counts

3 → 95

Calls

3 calls:

Slowest

27.0ms	(* (/ 1 V) (/ A l))
24.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
16.0ms	(sqrt (* (/ 1 V) (/ A l)))

series177.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

73.0ms	(sqrt (* (/ 1 V) (/ A l)))
69.0ms	(* c0 (sqrt (* (/ 1 V) (/ A l))))
34.0ms	(* (/ 1 V) (/ A l))

simplify1.3s

Counts: 104 → 104

prune1.1s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 4.3b

localize44.0ms

Local error

Found 4 expressions with local error:

17.0b	(sqrt (* (* (/ (/ (cbrt A) (cbrt l)) V) (/ (cbrt A) (cbrt l))) (/ (cbrt A) (cbrt l))))
1.1b	(* c0 (sqrt (* (* (/ (/ (cbrt A) (cbrt l)) V) (/ (cbrt A) (cbrt l))) (/ (cbrt A) (cbrt l)))))
0.6b	(cbrt A)
0.6b	(cbrt A)

rewrite253.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-div`
13×	`associate-*r/`
12×	`pow1`
10×	`add-sqr-sqrt` `frac-times` `associate-*l/`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`cbrt-prod` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`sqrt-pow1` `associate-l`
2×	`pow1/3` `sqrt-prod`
1×	`pow1/2` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

Slowest

174.0ms	(* c0 (sqrt (* (* (/ (/ (cbrt A) (cbrt l)) V) (/ (cbrt A) (cbrt l))) (/ (cbrt A) (cbrt l)))))
75.0ms	(sqrt (* (* (/ (/ (cbrt A) (cbrt l)) V) (/ (cbrt A) (cbrt l))) (/ (cbrt A) (cbrt l))))
1.0ms	(cbrt A)
1.0ms	(cbrt A)

series620.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

250.0ms	(cbrt A)
248.0ms	(cbrt A)
68.0ms	(* c0 (sqrt (* (* (/ (/ (cbrt A) (cbrt l)) V) (/ (cbrt A) (cbrt l))) (/ (cbrt A) (cbrt l)))))
55.0ms	(sqrt (* (* (/ (/ (cbrt A) (cbrt l)) V) (/ (cbrt A) (cbrt l))) (/ (cbrt A) (cbrt l))))

simplify4.6s

Counts: 83 → 83

prune1.2s

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 3.1b

localize28.0ms

Local error

Found 4 expressions with local error:

13.0b	(sqrt (/ A (* (cbrt l) V)))
3.0b	(/ A (* (cbrt l) V))
1.1b	(* c0 (/ (sqrt (/ A (* (cbrt l) V))) (fabs (cbrt l))))
0.6b	(cbrt l)

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

47×	`times-frac`
39×	`add-sqr-sqrt`
34×	`associate-r`
30×	`*-un-lft-identity` `add-cube-cbrt`
29×	`sqrt-prod`
14×	`add-exp-log`
13×	`add-cbrt-cube`
7×	`pow1`
6×	`div-inv`
4×	`insert-posit16` `add-log-exp`
3×	`cbrt-prod` `cbrt-undiv` `div-exp` `associate-l` `prod-exp` `cbrt-unprod` `associate-/l*` `unswap-sqr`
1×	`rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `sqrt-pow1` `pow1/2` `pow1/3` `sqrt-div` `pow-prod-down` `associate-r/` `*-commutative`

Counts

4 → 108

Calls

4 calls:

Slowest

34.0ms	(* c0 (/ (sqrt (/ A (* (cbrt l) V))) (fabs (cbrt l))))
7.0ms	(/ A (* (cbrt l) V))
6.0ms	(sqrt (/ A (* (cbrt l) V)))
1.0ms	(cbrt l)

series953.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

320.0ms	(cbrt l)
251.0ms	(* c0 (/ (sqrt (/ A (* (cbrt l) V))) (fabs (cbrt l))))
240.0ms	(sqrt (/ A (* (cbrt l) V)))
141.0ms	(/ A (* (cbrt l) V))

simplify653.0ms

Counts: 120 → 120

prune1.6s

Pruning

23 alts after pruning (22 fresh and 1 done)

Merged error: 1.4b

regimes1.5s

Accuracy

36.5% (6.3b remaining)

Error of 8.6b against oracle of 2.3b and baseline of 12.3b

bsearch108.0ms

end0.0ms

sample3.0s

Algorithm

intervals

Results

1.5s	8913×	body	80	nan
916.0ms	8861×	body	80	valid