Details

sample52.0ms

Algorithm

intervals

Results

21.0ms	287×	body	80	valid
18.0ms	275×	body	80	nan

simplify22.0ms

Calls

1 calls:

Slowest

22.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize15.0ms

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))))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

8×	`sqrt-prod`
7×	`add-sqr-sqrt` `associate-r`
6×	`*-un-lft-identity` `add-cube-cbrt`
3×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `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

11.0ms	(sqrt (/ A (* V l)))
3.0ms	(* c0 (sqrt (/ A (* V l))))
0.0ms	(/ A (* V l))

series126.0ms

Calls

3 calls:

Slowest

61.0ms	(* c0 (sqrt (/ A (* V l))))
42.0ms	(sqrt (/ A (* V l)))
22.0ms	(/ A (* V l))

simplify233.0ms

Calls

23 calls:

Slowest

25.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
24.0ms	(sqrt (cbrt (/ A (* V l))))
23.0ms	(sqrt (sqrt (/ A (* V l))))
23.0ms	(sqrt (/ 1 (* V l)))
17.0ms	(/ A (* l V))

prune640.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 8.1b

localize12.0ms

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)))

rewrite7.0ms

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×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `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))

series154.0ms

Calls

3 calls:

Slowest

86.0ms	(* c0 (sqrt (/ (/ A V) l)))
43.0ms	(sqrt (/ (/ A V) l))
25.0ms	(/ (/ A V) l)

simplify237.0ms

Calls

25 calls:

Slowest

27.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))
26.0ms	(sqrt (sqrt (/ (/ A V) l)))
23.0ms	(sqrt (/ (/ A V) l))
18.0ms	(sqrt (/ (/ A V) l))
17.0ms	(/ A (* l V))

prune544.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 5.7b

localize4.0ms

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)

rewrite8.0ms

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×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `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

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

series164.0ms

Calls

3 calls:

Slowest

98.0ms	(* (sqrt (/ (/ A V) l)) c0)
39.0ms	(sqrt (/ (/ A V) l))
27.0ms	(/ (/ A V) l)

simplify208.0ms

Calls

24 calls:

Slowest

26.0ms	(sqrt (sqrt (/ (/ A V) l)))
19.0ms	(sqrt (sqrt (/ (/ A V) l)))
19.0ms	(/ A (* l V))
18.0ms	(/ A (* l V))
18.0ms	(sqrt (/ (/ A V) l))

prune591.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 5.7b

localize8.0ms

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)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`-un-lft-identity` `add-cube-cbrt` `sqrt-prod` `associate-/l`
6×	`div-inv`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2` `sqrt-div` `associate-/l/`

Calls

4 calls:

Slowest

4.0ms	(/ (/ A V) l)
3.0ms	(/ (/ A V) l)
1.0ms	(sqrt (/ (/ A V) l))
1.0ms	(sqrt (/ (/ A V) l))

series159.0ms

Calls

4 calls:

Slowest

47.0ms	(sqrt (/ (/ A V) l))
43.0ms	(sqrt (/ (/ A V) l))
35.0ms	(/ (/ A V) l)
34.0ms	(/ (/ A V) l)

simplify200.0ms

Calls

28 calls:

Slowest

17.0ms	(sqrt (sqrt (/ (/ A V) l)))
17.0ms	(sqrt (sqrt (/ (/ A V) l)))
16.0ms	(/ A (* l V))
15.0ms	(sqrt (/ (/ A V) l))
15.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))

prune941.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 5.7b

regimes926.0ms

Accuracy

68.1% (3.9b remaining)

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

bsearch8.0ms

end0.0ms

sample2.0s

Algorithm

intervals

Results

799.0ms	8911×	body	80	valid
759.0ms	9064×	body	80	nan