Details

sample90.0ms

Algorithm

intervals

Results

32.0ms	284×	body	80	valid
29.0ms	258×	body	80	nan

simplify51.0ms

Counts: 1 → 1

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.4b

localize25.0ms

Local error

Found 3 expressions with local error:

16.6b	(sqrt (/ A (* V l)))
5.2b	(/ A (* V l))
1.5b	(* c0 (sqrt (/ A (* V l))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 75

Calls

3 calls:

Slowest

29.0ms	(* c0 (sqrt (/ A (* V l))))
13.0ms	(/ A (* V l))
11.0ms	(sqrt (/ A (* V l)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

78.0ms	(* c0 (sqrt (/ A (* V l))))
38.0ms	(sqrt (/ A (* V l)))
34.0ms	(/ A (* V l))

simplify930.0ms

Counts: 84 → 84

prune904.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 7.2b

localize30.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
4.2b	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
1.5b	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
0.6b	(cbrt A)

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

40×	`add-sqr-sqrt`
28×	`times-frac`
27×	`add-exp-log`
26×	`associate-r`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`add-cbrt-cube`
14×	`cbrt-prod`
11×	`pow1`
10×	`associate-l`
9×	`prod-exp` `cbrt-unprod`
7×	`cbrt-undiv` `div-exp` `unswap-sqr`
6×	`sqrt-div` `associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`frac-times` `pow-prod-down` `associate-*l/`
2×	`sqrt-pow1` `*-commutative` `sqrt-prod` `div-inv`
1×	`pow1/2` `pow1/3`

Counts

4 → 118

Calls

4 calls:

Slowest

45.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
36.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
28.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
1.0ms	(cbrt A)

series462.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

249.0ms	(cbrt A)
89.0ms	(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
66.0ms	(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
58.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify640.0ms

Counts: 130 → 130

prune1.5s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.2b

localize62.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
6.3b	(cbrt (* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))))

rewrite119.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1`
12×	`sqrt-div`
7×	`associate-*r/`
6×	`sqrt-pow1`
4×	`add-sqr-sqrt` `expm1-log1p-u` `frac-times` `-un-lft-identity` `add-cbrt-cube` `associate-l/` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/2` `pow-prod-down` `sqrt-prod`
1×	`cbrt-prod` `pow1/3`

Counts

4 → 66

Calls

4 calls:

Slowest

56.0ms	(cbrt (* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))))
27.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
18.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
17.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series457.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

221.0ms	(cbrt (* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))))
93.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
78.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
63.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify1.2s

Counts: 78 → 78

prune1.2s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.2b

localize112.0ms

Local error

Found 4 expressions with local error:

16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
16.6b	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

16×	`pow1`
12×	`sqrt-div`
8×	`sqrt-pow1`
4×	`add-sqr-sqrt` `expm1-log1p-u` `frac-times` `-un-lft-identity` `add-cbrt-cube` `pow1/2` `pow-prod-down` `associate-l/` `associate-*r/` `add-exp-log` `add-cube-cbrt` `sqrt-prod` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 68

Calls

4 calls:

Slowest

26.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
18.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
15.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
14.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series271.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

78.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
72.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
62.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))
58.0ms	(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify3.1s

Counts: 80 → 80

prune1.4s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 4.2b

regimes1.3s

Accuracy

51.8% (6.6b remaining)

Error of 11.0b against oracle of 4.4b and baseline of 18.1b

bsearch10.0ms

end0.0ms

sample2.9s

Algorithm

intervals

Results

898.0ms	8797×	body	80	nan
854.0ms	8862×	body	80	valid