Details

sample71.0ms

Algorithm

intervals

Results

26.0ms	283×	body	80	valid
26.0ms	327×	body	80	nan

simplify17.0ms

Calls

1 calls:

Slowest

17.0ms

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.4b

localize34.0ms

Local error

Found 3 expressions with local error:

18.5b	(sqrt (/ A (* V l)))
6.1b	(/ A (* V l))
1.8b	(* 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×	`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

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

series86.0ms

Calls

3 calls:

Slowest

39.0ms	(* c0 (sqrt (/ A (* V l))))
25.0ms	(sqrt (/ A (* V l)))
23.0ms	(/ A (* V l))

simplify209.0ms

Calls

23 calls:

Slowest

22.0ms	(sqrt (sqrt (/ A (* V l))))
21.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
20.0ms	(sqrt (/ A (* V l)))
16.0ms	(/ A (* l V))
15.0ms	(sqrt (/ 1 (* V l)))

prune508.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.8b

localize14.0ms

Local error

Found 3 expressions with local error:

18.5b	(sqrt (/ (/ A V) l))
3.5b	(/ (/ A V) l)
1.8b	(* c0 (sqrt (/ (/ A V) l)))

rewrite13.0ms

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

6.0ms	(/ (/ A V) l)
4.0ms	(* c0 (sqrt (/ (/ A V) l)))
2.0ms	(sqrt (/ (/ A V) l))

series108.0ms

Calls

3 calls:

Slowest

52.0ms	(* c0 (sqrt (/ (/ A V) l)))
30.0ms	(sqrt (/ (/ A V) l))
25.0ms	(/ (/ A V) l)

simplify248.0ms

Calls

25 calls:

Slowest

25.0ms	(sqrt (cbrt (/ (/ A V) l)))
25.0ms	(sqrt (sqrt (/ (/ A V) l)))
24.0ms	(cbrt (sqrt (/ (/ A V) l)))
24.0ms	(sqrt (/ (/ A V) l))
16.0ms	(sqrt (sqrt (/ (/ A V) l)))

prune606.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.4b

localize15.0ms

Local error

Found 4 expressions with local error:

18.5b	(sqrt (/ (/ A V) l))
18.5b	(sqrt (/ (/ A V) l))
3.5b	(/ (/ A V) l)
3.5b	(/ (/ A V) l)

rewrite13.0ms

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

5.0ms	(/ (/ A V) l)
3.0ms	(/ (/ A V) l)
2.0ms	(sqrt (/ (/ A V) l))
2.0ms	(sqrt (/ (/ A V) l))

series68.0ms

Calls

4 calls:

Slowest

22.0ms	(sqrt (/ (/ A V) l))
19.0ms	(sqrt (/ (/ A V) l))
14.0ms	(/ (/ A V) l)
13.0ms	(/ (/ A V) l)

simplify203.0ms

Calls

28 calls:

Slowest

19.0ms	(sqrt (/ (/ A V) l))
18.0ms	(/ A (* l V))
15.0ms	(/ A (* l V))
14.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))
14.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))

prune1.1s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.4b

localize16.0ms

Local error

Found 4 expressions with local error:

18.5b	(sqrt (* (/ A V) (/ 1 l)))
18.5b	(sqrt (/ (/ A V) l))
3.6b	(* (/ A V) (/ 1 l))
3.5b	(/ (/ A V) l)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`pow1` `add-cbrt-cube` `add-exp-log`
5×	`sqrt-div` `sqrt-prod` `div-inv`
4×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `associate-/l*` `add-log-exp`
2×	`frac-times` `pow1/2` `associate-l/` `associate-r/` `un-div-inv`
1×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `associate-/l/`

Calls

4 calls:

Slowest

5.0ms	(/ (/ A V) l)
5.0ms	(* (/ A V) (/ 1 l))
2.0ms	(sqrt (* (/ A V) (/ 1 l)))
1.0ms	(sqrt (/ (/ A V) l))

series88.0ms

Calls

4 calls:

Slowest

33.0ms	(sqrt (/ (/ A V) l))
30.0ms	(sqrt (* (/ A V) (/ 1 l)))
13.0ms	(* (/ A V) (/ 1 l))
12.0ms	(/ (/ A V) l)

simplify665.0ms

Calls

37 calls:

Slowest

324.0ms	(* (* (* (/ A V) (/ A V)) (/ A V)) (* (* (/ 1 l) (/ 1 l)) (/ 1 l)))
64.0ms	(+ (log (/ A V)) (log (/ 1 l)))
25.0ms	(* (/ A V) (/ 1 l))
20.0ms	(/ A (* l V))
20.0ms	(/ A (* l V))

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.4b

regimes987.0ms

Accuracy

64.4% (4.1b remaining)

Error of 11.4b against oracle of 7.3b and baseline of 18.7b

bsearch13.0ms

end0.0ms

sample2.7s

Algorithm

intervals

Results

1.3s	8906×	body	80	valid
902.0ms	8827×	body	80	nan