Details

sample78.0ms

Algorithm

intervals

Results

40.0ms	261×	body	80	nan
11.0ms	257×	body	80	valid

simplify21.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	3	4
1	4	4
done	4	4

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize42.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (log x))

rewrite52.0ms

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:

51.0ms

(* x (log x))

series1.4s

Counts

1 → 3

Calls

1 calls:

1.4s	(* x (log x))

simplify5.0s

Counts

28 → 28

Iterations

Useful iterations: 3 (935.0ms)

Iter	Nodes	Cost
0	53	203
1	107	194
2	288	172
3	1607	163
done	5001	163

prune81.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt x))) x)
0.3b	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
0.6b	(cbrt x)
0.6b	(cbrt x)

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

37.0ms	(* (* 2 (log (cbrt x))) x)
38.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series5.2s

Counts

4 → 12

Calls

4 calls:

2.0s	(* (* 2 (log (cbrt x))) x)
1.8s	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
673.0ms	(cbrt x)
800.0ms	(cbrt x)

simplify3.7s

Counts

64 → 64

Iterations

Useful iterations: done (3.7s)

Iter	Nodes	Cost
0	89	644
1	262	568
2	1519	420
done	5001	382

prune1.0s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize172.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* 2 (log (cbrt x))) x)
0.3b	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
0.6b	(cbrt x)
5.0b	(pow (/ 1 x) -1/3)

rewrite285.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
13×	`unpow-prod-down`
11×	`pow1`
9×	`times-frac` `add-cbrt-cube`
6×	`add-log-exp`
4×	`pow-exp`
3×	`cbrt-prod` `pow-unpow` `pow-pow` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`div-exp`
1×	`+-commutative` `pow-to-exp` `rec-exp` `distribute-rgt-out` `pow-flip` `flip3-+` `pow1/3` `1-exp` `associate-l` `sum-log` `*-commutative` `flip-+` `div-inv` `inv-pow` `sqr-pow`

Counts

4 → 73

Calls

4 calls:

93.0ms	(* (* 2 (log (cbrt x))) x)
123.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
10.0ms	(cbrt x)
38.0ms	(pow (/ 1 x) -1/3)

series9.0s

Counts

4 → 12

Calls

4 calls:

2.5s	(* (* 2 (log (cbrt x))) x)
3.8s	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
1.5s	(cbrt x)
1.2s	(pow (/ 1 x) -1/3)

simplify7.9s

Counts

85 → 85

Iterations

Useful iterations: done (7.8s)

Iter	Nodes	Cost
0	168	979
1	507	822
2	2203	653
done	5001	613

prune2.0s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (* (cbrt (- x)) (cbrt -1)))
0.4b	(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
0.6b	(cbrt (- x))

rewrite237.0ms

Algorithm

rewrite-expression-head

Rules

14×	`pow1`
11×	`add-exp-log`
10×	`cbrt-prod`
8×	`add-cbrt-cube`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow-prod-down`
6×	`associate-r` `log-pow`
5×	`pow1/3`
4×	`prod-exp`
3×	`distribute-lft-neg-in` `log-prod` `distribute-rgt-neg-in` `cbrt-unprod` `add-log-exp`
2×	`rem-log-exp`
1×	`distribute-rgt-in` `neg-mul-1` `distribute-lft-in` `associate-l` `*-commutative`

Counts

3 → 54

Calls

3 calls:

18.0ms	(log (* (cbrt (- x)) (cbrt -1)))
90.0ms	(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
4.0ms	(cbrt (- x))

series6.5s

Counts

3 → 9

Calls

3 calls:

1.7s	(log (* (cbrt (- x)) (cbrt -1)))
3.7s	(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
1.2s	(cbrt (- x))

simplify4.1s

Counts

63 → 63

Iterations

Useful iterations: done (4.1s)

Iter	Nodes	Cost
0	95	633
1	224	604
2	1286	509
done	5000	504

prune1.1s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes302.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	4
1	4	4
done	4	4

end0.0ms

sample2.4s

Algorithm

intervals

Results

776.0ms	8036×	body	80	valid
596.0ms	8262×	body	80	nan