Details

sample81.0ms

Algorithm

intervals

Results

33.0ms	382×	body	80	valid
10.0ms	134×	body	80	nan

simplify3.6s

Counts

1 → 1

Iterations

Useful iterations: 2 (15.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	48	13
3	95	13
4	239	13
5	718	13
6	2745	13
done	5000	13

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* k (+ 10.0 k)) 1.0)
0.0b	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
0.0b	(* k (+ 10.0 k))
1.9b	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))

rewrite156.0ms

Algorithm

rewrite-expression-head

Rules

180×	`times-frac`
106×	`add-sqr-sqrt` `*-un-lft-identity`
104×	`add-cube-cbrt`
48×	`unpow-prod-down`
32×	`associate-/r*`
21×	`add-exp-log`
16×	`sqr-pow`
13×	`add-cbrt-cube`
10×	`div-exp`
6×	`pow1` `div-inv` `associate-/l*` `add-log-exp`
4×	`cbrt-undiv` `associate-r`
3×	`flip3-+` `associate-l` `flip-+`
2×	`distribute-rgt-in` `pow-to-exp` `associate-+l+` `frac-2neg` `distribute-lft-in` `associate-*r/` `pow-exp` `clear-num` `associate-/l/`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `associate-/r/` `*-commutative` `cbrt-unprod` `distribute-lft-out` `unswap-sqr`

Counts

4 → 203

Calls

4 calls:

12.0ms	(+ (* k (+ 10.0 k)) 1.0)
39.0ms	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
32.0ms	(* k (+ 10.0 k))
56.0ms	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))

series437.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (* k (+ 10.0 k)) 1.0)
111.0ms	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
70.0ms	(* k (+ 10.0 k))
224.0ms	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))

simplify2.2s

Counts

215 → 215

Iterations

Useful iterations: done (2.1s)

Iter	Nodes	Cost
0	376	4742
1	865	4504
2	2932	4337
done	5001	4307

prune1.4s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.9b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt a)
0.6b	(cbrt a)
15.1b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
15.1b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-prod` `sqrt-prod`
4×	`add-exp-log` `sqrt-div` `add-cbrt-cube` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `flip3-+` `pow1/2` `pow1/3` `flip-+`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt a)
1.0ms	(cbrt a)
33.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
43.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series682.0ms

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt a)
279.0ms	(cbrt a)
60.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
60.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify2.2s

Counts

64 → 64

Iterations

Useful iterations: 3 (556.0ms)

Iter	Nodes	Cost
0	81	640
1	180	584
2	488	552
3	1614	524
done	5000	524

prune333.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.9b

localize34.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt k) (cbrt k))
0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

16.0ms	(* (cbrt k) (cbrt k))
2.0ms	(cbrt k)
2.0ms	(cbrt k)
2.0ms	(cbrt k)

series1.1s

Counts

4 → 12

Calls

4 calls:

349.0ms	(* (cbrt k) (cbrt k))
287.0ms	(cbrt k)
260.0ms	(cbrt k)
226.0ms	(cbrt k)

simplify5.0s

Counts

85 → 85

Iterations

Useful iterations: done (5.0s)

Iter	Nodes	Cost
0	61	524
1	115	417
2	319	397
3	1092	379
4	4423	374
done	5000	364

prune460.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 1.9b

regimes68.0ms

Accuracy

0% (0.0b remaining)

Error of 2.0b against oracle of 2.0b and baseline of 2.0b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	14	13
done	14	13

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.4s	11833×	body	80	valid
363.0ms	4168×	body	80	nan