Details

sample97.0ms

Algorithm

intervals

Results

30.0ms	279×	body	80	valid
28.0ms	263×	body	80	nan

simplify172.0ms

Calls

1 calls:

Slowest

167.0ms

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

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.4b

localize27.0ms

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))))

rewrite8.0ms

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

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

series178.0ms

Calls

3 calls:

Slowest

106.0ms	(sqrt (/ A (* V l)))
53.0ms	(* c0 (sqrt (/ A (* V l))))
19.0ms	(/ A (* V l))

simplify319.0ms

Calls

23 calls:

Slowest

29.0ms	(sqrt (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))))
27.0ms	(sqrt (/ 1 (* V l)))
25.0ms	(sqrt (sqrt (/ A (* V l))))
24.0ms	(sqrt (cbrt (/ A (* V l))))
24.0ms	(cbrt (sqrt (/ A (* V l))))

prune2.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 10.0b

localize19.0ms

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×	`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)
5.0ms	(sqrt (/ (/ A V) l))
4.0ms	(* c0 (sqrt (/ (/ A V) l)))

series110.0ms

Calls

3 calls:

Slowest

50.0ms	(* c0 (sqrt (/ (/ A V) l)))
39.0ms	(sqrt (/ (/ A V) l))
21.0ms	(/ (/ A V) l)

simplify563.0ms

Calls

25 calls:

Slowest

94.0ms	(sqrt (/ (/ A V) l))
58.0ms	(/ A (* l V))
55.0ms	(sqrt (/ 1 l))
46.0ms	(sqrt (sqrt (/ (/ A V) l)))
45.0ms	(/ A (* l V))

prune1.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.4b

localize125.0ms

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))))

rewrite21.0ms

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×	`expm1-log1p-u` `frac-times` `associate-*l/` `un-div-inv` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2` `pow-prod-down` `prod-exp` `cbrt-unprod`

Calls

3 calls:

Slowest

9.0ms	(* (/ A V) (/ 1 l))
6.0ms	(sqrt (* (/ A V) (/ 1 l)))
4.0ms	(* c0 (sqrt (* (/ A V) (/ 1 l))))

series174.0ms

Calls

3 calls:

Slowest

84.0ms	(* c0 (sqrt (* (/ A V) (/ 1 l))))
62.0ms	(sqrt (* (/ A V) (/ 1 l)))
29.0ms	(* (/ A V) (/ 1 l))

simplify1.8s

Calls

34 calls:

Slowest

813.0ms	(* (* (* (/ A V) (/ A V)) (/ A V)) (* (* (/ 1 l) (/ 1 l)) (/ 1 l)))
186.0ms	(+ (log (/ A V)) (log (/ 1 l)))
109.0ms	(cbrt (sqrt (* (/ A V) (/ 1 l))))
102.0ms	(sqrt (sqrt (* (/ A V) (/ 1 l))))
78.0ms	(sqrt (/ A V))

prune1.9s

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.0b

localize47.0ms

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))

rewrite20.0ms

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×	`expm1-log1p-u` `frac-times` `associate-l/` `associate-r/` `un-div-inv` `insert-posit16` `log1p-expm1-u` `div-inv` `add-log-exp`
2×	`pow1/2` `pow-prod-down` `prod-exp` `*-commutative` `sqrt-prod` `cbrt-unprod`

Calls

4 calls:

Slowest

7.0ms	(* (/ A V) (/ 1 l))
7.0ms	(* (/ A V) (/ 1 l))
3.0ms	(sqrt (* (/ A V) (/ 1 l)))
2.0ms	(sqrt (* (/ A V) (/ 1 l)))

series165.0ms

Calls

4 calls:

Slowest

90.0ms	(sqrt (* (/ A V) (/ 1 l)))
33.0ms	(sqrt (* (/ A V) (/ 1 l)))
21.0ms	(* (/ A V) (/ 1 l))
20.0ms	(* (/ A V) (/ 1 l))

simplify2.3s

Calls

46 calls:

Slowest

827.0ms	(* (* (* (/ A V) (/ A V)) (/ A V)) (* (* (/ 1 l) (/ 1 l)) (/ 1 l)))
520.0ms	(* (* (* (/ A V) (/ A V)) (/ A V)) (* (* (/ 1 l) (/ 1 l)) (/ 1 l)))
122.0ms	(+ (log (/ A V)) (log (/ 1 l)))
110.0ms	(+ (log (/ A V)) (log (/ 1 l)))
103.0ms	(sqrt (* A 1))

prune2.3s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 5.0b

regimes2.3s

Accuracy

49.8% (6.6b remaining)

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

bsearch15.0ms

end0.0ms

sample4.8s

Algorithm

intervals

Results

2.1s	8883×	body	80	valid
1.6s	9032×	body	80	nan