Details

sample49.0ms

Algorithm

intervals

Results

18.0ms	287×	body	80	valid
17.0ms	275×	body	80	nan

simplify14.0ms

Calls

1 calls:

Slowest

14.0ms

(* c0 (sqrt (/ A (* V l))))

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize24.0ms

Local error

Found 3 expressions with local error:

15.5b	(sqrt (/ A (* V l)))
6.4b	(/ A (* V l))
1.4b	(* c0 (sqrt (/ A (* V l))))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

8×	`sqrt-prod`
7×	`add-sqr-sqrt` `associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `div-inv` `add-log-exp`
2×	`sqrt-div`
1×	`rem-sqrt-square` `clear-num` `associate-/r` `frac-2neg` `pow1/2` `associate-r/` `*-commutative`

Calls

3 calls:

Slowest

5.0ms	(* c0 (sqrt (/ A (* V l))))
1.0ms	(sqrt (/ A (* V l)))
1.0ms	(/ A (* V l))

series114.0ms

Calls

3 calls:

Slowest

59.0ms	(* c0 (sqrt (/ A (* V l))))
35.0ms	(sqrt (/ A (* V l)))
21.0ms	(/ A (* V l))

simplify247.0ms

Calls

23 calls:

Slowest

28.0ms	(sqrt (/ 1 (* V l)))
26.0ms	(sqrt (sqrt (/ A (* V l))))
20.0ms	(sqrt (sqrt (/ A (* V l))))
20.0ms	(sqrt (/ A (* V l)))
18.0ms	(sqrt (/ A (* V l)))

prune553.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.1b

localize10.0ms

Local error

Found 3 expressions with local error:

15.5b	(sqrt (/ (/ A V) l))
5.4b	(/ (/ A V) l)
1.4b	(* c0 (sqrt (/ (/ A V) l)))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
7×	`-un-lft-identity` `associate-r*` `add-cube-cbrt`
4×	`div-inv` `associate-/l*`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`sqrt-div`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2` `associate-r/` `-commutative` `associate-/l/`

Calls

3 calls:

Slowest

3.0ms	(/ (/ A V) l)
2.0ms	(* c0 (sqrt (/ (/ A V) l)))
1.0ms	(sqrt (/ (/ A V) l))

series139.0ms

Calls

3 calls:

Slowest

62.0ms	(* c0 (sqrt (/ (/ A V) l)))
45.0ms	(sqrt (/ (/ A V) l))
32.0ms	(/ (/ A V) l)

simplify213.0ms

Calls

25 calls:

Slowest

21.0ms	(sqrt (sqrt (/ (/ A V) l)))
19.0ms	(sqrt (/ (/ A V) l))
18.0ms	(sqrt (cbrt (/ (/ A V) l)))
18.0ms	(cbrt (sqrt (/ (/ A V) l)))
15.0ms	(/ A (* l V))

prune608.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize6.0ms

Local error

Found 3 expressions with local error:

15.5b	(sqrt (/ (/ A V) l))
5.4b	(/ (/ A V) l)
1.4b	(* (sqrt (/ (/ A V) l)) c0)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `sqrt-prod`
7×	`-un-lft-identity` `associate-l*` `add-cube-cbrt`
4×	`div-inv` `associate-/l*`
3×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`sqrt-div`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2` `associate-l/` `-commutative` `associate-/l/`

Calls

3 calls:

Slowest

6.0ms	(* (sqrt (/ (/ A V) l)) c0)
6.0ms	(/ (/ A V) l)
2.0ms	(sqrt (/ (/ A V) l))

series199.0ms

Calls

3 calls:

Slowest

126.0ms	(* (sqrt (/ (/ A V) l)) c0)
45.0ms	(sqrt (/ (/ A V) l))
27.0ms	(/ (/ A V) l)

simplify269.0ms

Calls

24 calls:

Slowest

30.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))
29.0ms	(* (cbrt (sqrt (/ (/ A V) l))) (cbrt (sqrt (/ (/ A V) l))))
28.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))
25.0ms	(sqrt (sqrt (/ (/ A V) l)))
25.0ms	(sqrt (sqrt (/ (/ A V) l)))

prune565.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.7b

localize16.0ms

Local error

Found 4 expressions with local error:

15.5b	(sqrt (/ (/ A V) l))
15.5b	(sqrt (/ (/ A V) l))
5.4b	(/ (/ A V) l)
5.4b	(/ (/ A V) l)

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`-un-lft-identity` `add-cube-cbrt` `sqrt-prod` `associate-/l`
6×	`div-inv`
4×	`pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2` `sqrt-div` `associate-/l/`

Calls

4 calls:

Slowest

6.0ms	(/ (/ A V) l)
6.0ms	(/ (/ A V) l)
2.0ms	(sqrt (/ (/ A V) l))
2.0ms	(sqrt (/ (/ A V) l))

series139.0ms

Calls

4 calls:

Slowest

45.0ms	(sqrt (/ (/ A V) l))
34.0ms	(sqrt (/ (/ A V) l))
34.0ms	(/ (/ A V) l)
27.0ms	(/ (/ A V) l)

simplify273.0ms

Calls

28 calls:

Slowest

29.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))
25.0ms	(sqrt (sqrt (/ (/ A V) l)))
25.0ms	(sqrt (sqrt (/ (/ A V) l)))
22.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))
22.0ms	(sqrt (/ (/ A V) l))

prune850.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.7b

regimes1.1s

Accuracy

68.1% (3.9b remaining)

Error of 10.9b against oracle of 7.0b and baseline of 19.2b

bsearch8.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

934.0ms	8911×	body	80	valid
839.0ms	9064×	body	80	nan