Details

sample24.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
4.0ms	223×	body	80	nan

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize6.0ms

Local error

Found 1 expressions with local error:

0.3b	(* x (log x))

rewrite14.0ms

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:

13.0ms

(* x (log x))

series267.0ms

Counts

1 → 3

Calls

1 calls:

267.0ms

(* x (log x))

simplify1.1s

Counts

28 → 28

Iterations

Useful iterations: 3 (227.0ms)

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

prune76.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)

rewrite74.0ms

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:

30.0ms	(* (* 2 (log (cbrt x))) x)
40.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms	(cbrt x)
1.0ms	(cbrt x)

series1.3s

Counts

4 → 12

Calls

4 calls:

422.0ms	(* (* 2 (log (cbrt x))) x)
419.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
235.0ms	(cbrt x)
217.0ms	(cbrt x)

simplify1.2s

Counts

64 → 64

Iterations

Useful iterations: done (1.2s)

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

prune217.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (* 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)

rewrite53.0ms

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:

21.0ms	(* (* 2 (log (cbrt x))) x)
22.0ms	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
1.0ms	(cbrt x)
7.0ms	(pow (/ 1 x) -1/3)

series2.1s

Counts

4 → 12

Calls

4 calls:

534.0ms	(* (* 2 (log (cbrt x))) x)
1.0s	(+ (* (* 2 (log (cbrt x))) x) (* (log (pow (/ 1 x) -1/3)) x))
273.0ms	(cbrt x)
270.0ms	(pow (/ 1 x) -1/3)

simplify1.4s

Counts

85 → 85

Iterations

Useful iterations: done (1.4s)

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

prune245.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (log (cbrt x)) (* 2/3 (log x)))
0.3b	(* x (+ (log (cbrt x)) (* 2/3 (log x))))
0.4b	(* 2/3 (log x))
0.6b	(cbrt x)

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 83

Calls

4 calls:

14.0ms	(+ (log (cbrt x)) (* 2/3 (log x)))
34.0ms	(* x (+ (log (cbrt x)) (* 2/3 (log x))))
9.0ms	(* 2/3 (log x))
1.0ms	(cbrt x)

series2.0s

Counts

4 → 12

Calls

4 calls:

710.0ms	(+ (log (cbrt x)) (* 2/3 (log x)))
837.0ms	(* x (+ (log (cbrt x)) (* 2/3 (log x))))
237.0ms	(* 2/3 (log x))
262.0ms	(cbrt x)

simplify955.0ms

Counts

95 → 95

Iterations

Useful iterations: done (951.0ms)

Iter	Nodes	Cost
0	143	946
1	363	888
2	1415	632
done	5002	548

prune324.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes102.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 0.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	11	10
done	11	10

end0.0ms

sample1.0s

Algorithm

intervals

Results

380.0ms	8034×	body	80	valid
202.0ms	7955×	body	80	nan