Details

sample87.0ms

Algorithm

intervals

Results

40.0ms	258×	body	80	valid
10.0ms	257×	body	80	nan

simplify13.0ms

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: 0.3b

localize8.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite23.0ms

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:

21.0ms

(* x (log x))

series636.0ms

Counts

1 → 3

Calls

1 calls:

635.0ms

(* x (log x))

simplify3.2s

Counts

28 → 28

Iterations

Useful iterations: 3 (917.0ms)

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

prune235.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize81.0ms

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))
0.5b	(cbrt x)
0.5b	(cbrt x)

rewrite271.0ms

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:

174.0ms	(* (* 2 (log (cbrt x))) x)
90.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
2.0ms	(cbrt x)
2.0ms	(cbrt x)

series3.9s

Counts

4 → 12

Calls

4 calls:

856.0ms	(* (* 2 (log (cbrt x))) x)
1.9s	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
394.0ms	(cbrt x)
741.0ms	(cbrt x)

simplify4.2s

Counts

64 → 64

Iterations

Useful iterations: done (4.2s)

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

prune370.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 3 expressions with local error:

0.0b	(log (* (cbrt (- x)) (cbrt -1)))
0.3b	(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
0.5b	(cbrt (- x))

rewrite321.0ms

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:

20.0ms	(log (* (cbrt (- x)) (cbrt -1)))
272.0ms	(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
9.0ms	(cbrt (- x))

series3.2s

Counts

3 → 9

Calls

3 calls:

879.0ms	(log (* (cbrt (- x)) (cbrt -1)))
1.0s	(* (* 3 x) (log (* (cbrt (- x)) (cbrt -1))))
1.3s	(cbrt (- x))

simplify3.8s

Counts

63 → 63

Iterations

Useful iterations: done (3.7s)

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

prune378.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* (sqrt x) (* 2/3 (log x))) (sqrt x))
0.3b	(* (sqrt x) (* 2/3 (log x)))
0.4b	(* 2/3 (log x))
0.5b	(cbrt x)

rewrite286.0ms

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:

117.0ms	(* (* (sqrt x) (* 2/3 (log x))) (sqrt x))
110.0ms	(* (sqrt x) (* 2/3 (log x)))
37.0ms	(* 2/3 (log x))
6.0ms	(cbrt x)

series2.2s

Counts

4 → 12

Calls

4 calls:

1.0s	(* (* (sqrt x) (* 2/3 (log x))) (sqrt x))
134.0ms	(* (sqrt x) (* 2/3 (log x)))
383.0ms	(* 2/3 (log x))
657.0ms	(cbrt x)

simplify7.6s

Counts

105 → 105

Iterations

Useful iterations: done (7.6s)

Iter	Nodes	Cost
0	183	1199
1	475	1080
2	2131	911
done	5001	882

prune2.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes621.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (2.0ms)

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

end1.0ms

sample3.6s

Algorithm

intervals

Results

1.4s	7920×	body	80	nan
632.0ms	8027×	body	80	valid