Details

sample67.0ms

Algorithm

intervals

Results

26.0ms	283×	body	80	valid
24.0ms	327×	body	80	nan

simplify30.0ms

Calls

1 calls:

Slowest

30.0ms

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

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 21.4b

localize24.0ms

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))))

rewrite16.0ms

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

13.0ms	(* c0 (sqrt (/ A (* V l))))
2.0ms	(sqrt (/ A (* V l)))
1.0ms	(/ A (* V l))

series64.0ms

Calls

3 calls:

Slowest

32.0ms	(* c0 (sqrt (/ A (* V l))))
20.0ms	(sqrt (/ A (* V l)))
13.0ms	(/ A (* V l))

simplify298.0ms

Calls

23 calls:

Slowest

30.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
29.0ms	(sqrt (/ 1 (* V l)))
26.0ms	(sqrt (sqrt (/ A (* V l))))
26.0ms	(sqrt (cbrt (/ A (* V l))))
25.0ms	(sqrt (sqrt (/ A (* V l))))

prune582.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 10.8b

localize10.0ms

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)))

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))

series98.0ms

Calls

3 calls:

Slowest

52.0ms	(* c0 (sqrt (/ (/ A V) l)))
25.0ms	(sqrt (/ (/ A V) l))
20.0ms	(/ (/ A V) l)

simplify299.0ms

Calls

25 calls:

Slowest

30.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))
27.0ms	(sqrt (sqrt (/ (/ A V) l)))
25.0ms	(sqrt (sqrt (/ (/ A V) l)))
25.0ms	(sqrt (/ (/ A V) l))
23.0ms	(sqrt (/ (/ A V) l))

prune601.0ms

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)

rewrite15.0ms

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))

series85.0ms

Calls

4 calls:

Slowest

29.0ms	(sqrt (/ (/ A V) l))
20.0ms	(/ (/ A V) l)
18.0ms	(sqrt (/ (/ A V) l))
17.0ms	(/ (/ A V) l)

simplify234.0ms

Calls

28 calls:

Slowest

23.0ms	(sqrt (/ (/ A V) l))
23.0ms	(sqrt (/ (/ A V) l))
19.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))
18.0ms	(sqrt (sqrt (/ (/ A V) l)))
16.0ms	(sqrt (* (cbrt (/ (/ A V) l)) (cbrt (/ (/ A V) l))))

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.4b

localize12.0ms

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)

rewrite9.0ms

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×	`associate-r` `associate-l` `insert-posit16` `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

4.0ms	(* (/ A V) (/ 1 l))
3.0ms	(/ (/ A V) l)
1.0ms	(sqrt (* (/ A V) (/ 1 l)))
1.0ms	(sqrt (/ (/ A V) l))

series89.0ms

Calls

4 calls:

Slowest

32.0ms	(sqrt (/ (/ A V) l))
30.0ms	(sqrt (* (/ A V) (/ 1 l)))
15.0ms	(/ (/ A V) l)
12.0ms	(* (/ A V) (/ 1 l))

simplify794.0ms

Calls

37 calls:

Slowest

357.0ms	(* (* (* (/ A V) (/ A V)) (/ A V)) (* (* (/ 1 l) (/ 1 l)) (/ 1 l)))
100.0ms	(+ (log (/ A V)) (log (/ 1 l)))
44.0ms	(* (/ A V) (/ 1 l))
22.0ms	(sqrt (/ (/ A V) l))
18.0ms	(* A (/ 1 l))

prune1.2s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.4b

regimes1.0s

Accuracy

64.4% (4.1b remaining)

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

bsearch11.0ms

end0.0ms

sample2.3s

Algorithm

intervals

Results

920.0ms	8827×	body	80	nan
885.0ms	8906×	body	80	valid