Details

sample65.0ms

Algorithm

intervals

Results

17.0ms	279×	body	80	nan
13.0ms	287×	body	80	valid

simplify22.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.3b

localize13.0ms

Local error

Found 3 expressions with local error:

1.4b	(* c0 (sqrt (/ A (* V l))))
4.2b	(/ A (* V l))
16.8b	(sqrt (/ A (* V l)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 66

Calls

3 calls:

46.0ms	(* c0 (sqrt (/ A (* V l))))
13.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

77.0ms	(* c0 (sqrt (/ A (* V l))))
29.0ms	(/ A (* V l))
36.0ms	(sqrt (/ A (* V l)))

simplify984.0ms

Counts: 75 → 75

prune257.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.2b

localize11.0ms

Local error

Found 3 expressions with local error:

1.4b	(* (* c0 (sqrt 1)) (sqrt (/ A (* V l))))
4.2b	(/ A (* V l))
16.8b	(sqrt (/ A (* V l)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

14×	`sqrt-prod`
13×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
10×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
9×	`pow1` `times-frac`
4×	`prod-exp` `cbrt-unprod`
3×	`pow-prod-down` `div-inv` `associate-/l*` `add-log-exp`
2×	`cbrt-undiv` `sqrt-div` `div-exp`
1×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `associate-r/` `associate-l` `clear-num` `associate-/r` `*-commutative`

Counts

3 → 65

Calls

3 calls:

42.0ms	(* (* c0 (sqrt 1)) (sqrt (/ A (* V l))))
12.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

72.0ms	(* (* c0 (sqrt 1)) (sqrt (/ A (* V l))))
26.0ms	(/ A (* V l))
54.0ms	(sqrt (/ A (* V l)))

simplify519.0ms

Counts: 74 → 74

prune296.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 6.2b

localize19.0ms

Local error

Found 4 expressions with local error:

4.2b	(/ A (* V l))
4.2b	(/ A (* V l))
16.8b	(sqrt (/ A (* V l)))
16.8b	(sqrt (/ A (* V l)))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-sqr-sqrt` `sqrt-prod` `add-cbrt-cube`
12×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
6×	`pow1` `associate-/l*`
4×	`cbrt-undiv` `div-exp` `div-inv` `add-log-exp`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `sqrt-div` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod`

Counts

4 → 78

Calls

4 calls:

12.0ms	(/ A (* V l))
18.0ms	(/ A (* V l))
10.0ms	(sqrt (/ A (* V l)))
10.0ms	(sqrt (/ A (* V l)))

series162.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(/ A (* V l))
42.0ms	(/ A (* V l))
36.0ms	(sqrt (/ A (* V l)))
50.0ms	(sqrt (/ A (* V l)))

simplify679.0ms

Counts: 90 → 90

prune354.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.2b

localize23.0ms

Local error

Found 4 expressions with local error:

16.8b	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
18.9b	(cbrt (/ A (* V l)))
18.9b	(cbrt (/ A (* V l)))
18.9b	(cbrt (/ A (* V l)))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

24×	`pow1`
21×	`cbrt-prod`
15×	`cbrt-div` `sqrt-pow1`
12×	`pow1/3`
10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac` `pow-prod-up`
7×	`sqrt-div`
6×	`pow-plus`
5×	`frac-times` `pow-prod-down` `associate-*l/`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-*r/` `pow-sqr` `div-inv`
2×	`pow2`
1×	`pow1/2` `pow3` `sqrt-prod`

Counts

4 → 79

Calls

4 calls:

45.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
4.0ms	(cbrt (/ A (* V l)))
4.0ms	(cbrt (/ A (* V l)))
5.0ms	(cbrt (/ A (* V l)))

series416.0ms

Counts

4 → 12

Calls

4 calls:

75.0ms	(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
119.0ms	(cbrt (/ A (* V l)))
111.0ms	(cbrt (/ A (* V l)))
111.0ms	(cbrt (/ A (* V l)))

simplify1.2s

Counts: 91 → 91

prune424.0ms

Pruning

15 alts after pruning (12 fresh and 3 done)

Merged error: 6.2b

regimes734.0ms

Accuracy

45.5% (7.0b remaining)

Error of 13.4b against oracle of 6.4b and baseline of 19.3b

bsearch2.0ms

simplify3.9s

end0.0ms

sample2.0s

Algorithm

intervals

Results

478.0ms	8967×	body	80	valid
399.0ms	8946×	body	80	nan