Details

sample37.0ms

Algorithm

intervals

Results

11.0ms	259×	body	80	valid
7.0ms	251×	body	80	nan

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize9.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (log x))

rewrite30.0ms

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:

28.0ms

(* x (log x))

series322.0ms

Counts

1 → 3

Calls

1 calls:

322.0ms

(* x (log x))

simplify1.7s

Counts

28 → 28

Iterations

Useful iterations: 3 (169.0ms)

Iter	Nodes	Cost
0	53	203
1	93	194
2	180	170
3	284	163
4	1030	163
done	5000	163

prune51.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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:

26.0ms	(* (* 2 (log (cbrt x))) x)
27.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms	(cbrt x)
2.0ms	(cbrt x)

series1.4s

Counts

4 → 12

Calls

4 calls:

410.0ms	(* (* 2 (log (cbrt x))) x)
456.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
223.0ms	(cbrt x)
277.0ms	(cbrt x)

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: done (1.7s)

Iter	Nodes	Cost
0	89	644
1	244	518
2	956	419
done	5000	370

prune247.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt x) (* 2/3 (log x))) (sqrt x))
0.4b	(* (sqrt x) (* 2/3 (log x)))
0.4b	(* 2/3 (log x))
0.6b	(cbrt x)

rewrite163.0ms

Algorithm

rewrite-expression-head

Rules

21×	`pow1`
20×	`add-exp-log` `add-cbrt-cube`
19×	`add-sqr-sqrt`
18×	`log-prod`
17×	`add-cube-cbrt` `*-un-lft-identity`
15×	`distribute-rgt-in` `distribute-lft-in`
11×	`associate-r`
10×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`sqrt-prod`
4×	`add-log-exp`
3×	`cbrt-prod` `*-commutative`
1×	`pow1/3` `log-pow` `unswap-sqr`

Counts

4 → 93

Calls

4 calls:

103.0ms	(* (* (sqrt x) (* 2/3 (log x))) (sqrt x))
37.0ms	(* (sqrt x) (* 2/3 (log x)))
14.0ms	(* 2/3 (log x))
1.0ms	(cbrt x)

series811.0ms

Counts

4 → 12

Calls

4 calls:

238.0ms	(* (* (sqrt x) (* 2/3 (log x))) (sqrt x))
89.0ms	(* (sqrt x) (* 2/3 (log x)))
205.0ms	(* 2/3 (log x))
278.0ms	(cbrt x)

simplify5.0s

Counts

105 → 105

Iterations

Useful iterations: 3 (3.1s)

Iter	Nodes	Cost
0	183	1199
1	433	1074
2	1354	885
3	4894	832
done	5000	832

prune301.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b	(* (sqrt x) (* (sqrt x) (log x)))
0.3b	(* (sqrt x) (log x))

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

18×	`log-prod`
17×	`add-sqr-sqrt`
15×	`distribute-rgt-in` `distribute-lft-in`
13×	`add-cube-cbrt` `*-un-lft-identity`
12×	`associate-l`
10×	`pow1`
9×	`add-exp-log` `add-cbrt-cube`
7×	`sqrt-prod`
5×	`associate-r`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`*-commutative` `add-log-exp` `unswap-sqr`
1×	`log-pow`

Counts

2 → 62

Calls

2 calls:

41.0ms	(* (sqrt x) (* (sqrt x) (log x)))
20.0ms	(* (sqrt x) (log x))

series263.0ms

Counts

2 → 6

Calls

2 calls:

196.0ms	(* (sqrt x) (* (sqrt x) (log x)))
67.0ms	(* (sqrt x) (log x))

simplify2.6s

Counts

68 → 68

Iterations

Useful iterations: done (2.6s)

Iter	Nodes	Cost
0	136	879
1	302	658
2	881	579
3	2421	554
done	5000	543

prune158.0ms

Pruning

7 alts after pruning (3 fresh and 4 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

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample832.0ms

Algorithm

intervals

Results

273.0ms	8044×	body	80	valid
189.0ms	7896×	body	80	nan