Details

sample34.0ms

Algorithm

intervals

Results

10.0ms	259×	body	80	valid
7.0ms	258×	body	80	nan

simplify18.0ms

Counts: 1 → 1

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
6×	`log-prod`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `associate-r`
3×	`add-exp-log` `distribute-rgt-in` `distribute-lft-in` `associate-l` `add-cbrt-cube`
1×	`pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 25

Calls

1 calls:

10.0ms

(* x (log x))

series280.0ms

Counts

1 → 3

Calls

1 calls:

280.0ms

(* x (log x))

simplify537.0ms

Counts: 28 → 28

prune60.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (log (cbrt x)))
0.3b	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

48×	`log-prod`
36×	`distribute-rgt-in` `distribute-lft-in`
30×	`cbrt-prod`
26×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `associate-+l+` `*-un-lft-identity`
12×	`associate-+r+`
7×	`pow1`
6×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
5×	`associate-r`
3×	`pow1/3` `associate-l`
2×	`log-pow`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

4 → 102

Calls

4 calls:

21.0ms	(* x (log (cbrt x)))
44.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.8s

Counts

4 → 12

Calls

4 calls:

466.0ms	(* x (log (cbrt x)))
489.0ms	(+ (* x (* 2 (log (cbrt x)))) (* x (log (cbrt x))))
545.0ms	(cbrt x)
291.0ms	(cbrt x)

simplify702.0ms

Counts: 114 → 114

prune397.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
0.6b	(cbrt (sqrt x))
0.6b	(cbrt (sqrt x))
0.6b	(cbrt x)

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

55×	`cbrt-prod`
43×	`add-sqr-sqrt`
26×	`sqrt-prod`
21×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1` `swap-sqr`
9×	`pow1/3` `associate-r` `associate-l` `unswap-sqr`
6×	`add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

18.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
2.0ms	(cbrt (sqrt x))
2.0ms	(cbrt (sqrt x))
1.0ms	(cbrt x)

series733.0ms

Counts

4 → 12

Calls

4 calls:

195.0ms	(* (cbrt (sqrt x)) (cbrt (sqrt x)))
169.0ms	(cbrt (sqrt x))
168.0ms	(cbrt (sqrt x))
201.0ms	(cbrt x)

simplify1.5s

Counts: 107 → 107

prune430.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (* x (* 2 (log (cbrt x)))) (* (sqrt x) (* (sqrt x) (log (cbrt x)))))
0.4b	(* (sqrt x) (* (sqrt x) (log (cbrt x))))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

72×	`distribute-rgt-in` `log-prod` `distribute-lft-in`
42×	`cbrt-prod`
32×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
24×	`associate-+l+` `associate-+r+`
9×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`associate-l` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `sqrt-prod` `cbrt-unprod`
2×	`pow1/3`
1×	`+-commutative` `flip3-+` `associate-r` `sum-log` `*-commutative` `flip-+`

Counts

4 → 126

Calls

4 calls:

53.0ms	(+ (* x (* 2 (log (cbrt x)))) (* (sqrt x) (* (sqrt x) (log (cbrt x)))))
45.0ms	(* (sqrt x) (* (sqrt x) (log (cbrt x))))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.1s

Counts

4 → 12

Calls

4 calls:

342.0ms	(+ (* x (* 2 (log (cbrt x)))) (* (sqrt x) (* (sqrt x) (log (cbrt x)))))
351.0ms	(* (sqrt x) (* (sqrt x) (log (cbrt x))))
215.0ms	(cbrt x)
210.0ms	(cbrt x)

simplify856.0ms

Counts: 138 → 138

prune525.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes75.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify17.0ms

end0.0ms

sample900.0ms

Algorithm

intervals

Results

282.0ms	8038×	body	80	valid
243.0ms	8033×	body	80	nan