Details

sample58.0ms

Algorithm

intervals

Results

20.0ms	263×	body	80	nan
20.0ms	279×	body	80	valid

simplify25.0ms

Calls

1 calls:

Slowest

25.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize37.0ms

Local error

Found 3 expressions with local error:

14.5b	(sqrt (/ A (* V l)))
5.1b	(/ A (* V l))
1.3b	(* 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

4.0ms	(* c0 (sqrt (/ A (* V l))))
2.0ms	(sqrt (/ A (* V l)))
1.0ms	(/ A (* V l))

series90.0ms

Calls

3 calls:

Slowest

37.0ms	(* c0 (sqrt (/ A (* V l))))
31.0ms	(sqrt (/ A (* V l)))
22.0ms	(/ A (* V l))

simplify309.0ms

Calls

23 calls:

Slowest

33.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
27.0ms	(sqrt (/ 1 (* V l)))
26.0ms	(sqrt (sqrt (/ A (* V l))))
26.0ms	(cbrt (sqrt (/ A (* V l))))
26.0ms	(sqrt (sqrt (/ A (* V l))))

prune650.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.0b

localize21.0ms

Local error

Found 3 expressions with local error:

14.5b	(sqrt (/ (/ A V) l))
3.8b	(/ (/ A V) l)
1.3b	(* c0 (sqrt (/ (/ A V) l)))

rewrite16.0ms

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

9.0ms	(/ (/ A V) l)
4.0ms	(* c0 (sqrt (/ (/ A V) l)))
2.0ms	(sqrt (/ (/ A V) l))

series105.0ms

Calls

3 calls:

Slowest

53.0ms	(* c0 (sqrt (/ (/ A V) l)))
31.0ms	(sqrt (/ (/ A V) l))
21.0ms	(/ (/ A V) l)

simplify246.0ms

Calls

25 calls:

Slowest

25.0ms	(sqrt (sqrt (/ (/ A V) l)))
23.0ms	(cbrt (sqrt (/ (/ A V) l)))
22.0ms	(sqrt (/ (/ A V) l))
22.0ms	(sqrt (/ (/ A V) l))
19.0ms	(sqrt (/ (/ A V) l))

prune652.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.4b

localize10.0ms

Local error

Found 3 expressions with local error:

14.5b	(sqrt (* (/ A V) (/ 1 l)))
3.9b	(* (/ A V) (/ 1 l))
1.3b	(* c0 (sqrt (* (/ A V) (/ 1 l))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

3 calls:

Slowest

6.0ms	(* c0 (sqrt (* (/ A V) (/ 1 l))))
4.0ms	(* (/ A V) (/ 1 l))
1.0ms	(sqrt (* (/ A V) (/ 1 l)))

series93.0ms

Calls

3 calls:

Slowest

54.0ms	(* c0 (sqrt (* (/ A V) (/ 1 l))))
26.0ms	(sqrt (* (/ A V) (/ 1 l)))
13.0ms	(* (/ A V) (/ 1 l))

simplify840.0ms

Calls

34 calls:

Slowest

373.0ms	(* (* (* (/ A V) (/ A V)) (/ A V)) (* (* (/ 1 l) (/ 1 l)) (/ 1 l)))
90.0ms	(sqrt (sqrt (* (/ A V) (/ 1 l))))
68.0ms	(+ (log (/ A V)) (log (/ 1 l)))
54.0ms	(sqrt (* (/ A V) (/ 1 l)))
53.0ms	(cbrt (sqrt (* (/ A V) (/ 1 l))))

prune765.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.0b

localize20.0ms

Local error

Found 4 expressions with local error:

14.5b	(sqrt (* (/ A V) (/ 1 l)))
14.5b	(sqrt (* (/ A V) (/ 1 l)))
3.9b	(* (/ A V) (/ 1 l))
3.9b	(* (/ A V) (/ 1 l))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `pow1` `-un-lft-identity` `add-cbrt-cube` `sqrt-div` `associate-r` `associate-l*` `add-exp-log` `add-cube-cbrt`
4×	`frac-times` `associate-l/` `associate-r/` `un-div-inv` `insert-posit16` `div-inv` `add-log-exp`
2×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `sqrt-prod` `cbrt-unprod`

Calls

4 calls:

Slowest

6.0ms	(* (/ A V) (/ 1 l))
4.0ms	(* (/ A V) (/ 1 l))
2.0ms	(sqrt (* (/ A V) (/ 1 l)))
2.0ms	(sqrt (* (/ A V) (/ 1 l)))

series90.0ms

Calls

4 calls:

Slowest

28.0ms	(sqrt (* (/ A V) (/ 1 l)))
22.0ms	(* (/ A V) (/ 1 l))
21.0ms	(* (/ A V) (/ 1 l))
20.0ms	(sqrt (* (/ A V) (/ 1 l)))

simplify1.2s

Calls

46 calls:

Slowest

376.0ms	(* (* (* (/ A V) (/ A V)) (/ A V)) (* (* (/ 1 l) (/ 1 l)) (/ 1 l)))
327.0ms	(* (* (* (/ A V) (/ A V)) (/ A V)) (* (* (/ 1 l) (/ 1 l)) (/ 1 l)))
68.0ms	(+ (log (/ A V)) (log (/ 1 l)))
52.0ms	(+ (log (/ A V)) (log (/ 1 l)))
24.0ms	(* (/ A V) (/ 1 l))

prune1.2s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.0b

regimes1.3s

Accuracy

49.8% (6.6b remaining)

Error of 12.0b against oracle of 5.4b and baseline of 18.6b

bsearch8.0ms

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.4s	8883×	body	80	valid
937.0ms	9032×	body	80	nan