Details

sample87.0ms

Algorithm

intervals

Results

43.0ms	344×	body	80	valid
9.0ms	116×	body	80	nan

simplify1.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (13.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	48	13
3	96	13
4	256	13
5	1408	13
done	5000	13

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.7b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
0.0b	(* k (+ 10.0 k))
1.7b	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))

rewrite129.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 190

Calls

3 calls:

40.0ms	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
46.0ms	(* k (+ 10.0 k))
31.0ms	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))

series310.0ms

Counts

3 → 9

Calls

3 calls:

85.0ms	(/ (+ (* k (+ 10.0 k)) 1.0) (pow k m))
63.0ms	(* k (+ 10.0 k))
162.0ms	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow k m)))

simplify670.0ms

Counts

199 → 199

Iterations

Useful iterations: done (663.0ms)

Iter	Nodes	Cost
0	366	4560
1	1025	4385
done	5001	4210

prune826.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.7b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
1.7b	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
122×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
72×	`unpow-prod-down`
45×	`cbrt-prod`
34×	`associate-/r*`
14×	`add-exp-log`
12×	`sqr-pow`
9×	`add-cbrt-cube`
7×	`div-exp`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `associate-/l*`
1×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `associate-/r/`

Counts

4 → 189

Calls

4 calls:

1.0ms	(cbrt k)
1.0ms	(cbrt k)
1.0ms	(cbrt k)
53.0ms	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m)))

series1.1s

Counts

4 → 12

Calls

4 calls:

279.0ms	(cbrt k)
267.0ms	(cbrt k)
269.0ms	(cbrt k)
323.0ms	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) m)))

simplify632.0ms

Counts

201 → 201

Iterations

Useful iterations: done (622.0ms)

Iter	Nodes	Cost
0	370	4821
1	1020	4596
done	5001	4449

prune1.2s

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 1.7b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (sqrt (+ (* k (+ 10.0 k)) 1.0)) (pow k m))
0.0b	(/ (/ a (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ (sqrt (+ (* k (+ 10.0 k)) 1.0)) (pow k m)))
14.3b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
14.3b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite442.0ms

Algorithm

rewrite-expression-head

Rules

3042×	`times-frac`
1324×	`add-sqr-sqrt`
1322×	`add-cube-cbrt` `*-un-lft-identity`
978×	`sqrt-prod`
471×	`unpow-prod-down`
157×	`sqr-pow`
100×	`sqrt-div`
95×	`associate-/r/`
74×	`div-inv`
53×	`associate-/r*`
50×	`flip3-+` `flip-+`
33×	`add-exp-log`
30×	`associate-/l*`
21×	`div-exp`
18×	`add-cbrt-cube`
9×	`cbrt-undiv`
6×	`pow1`
4×	`add-log-exp`
3×	`pow-to-exp` `pow-exp` `associate-/l/`
2×	`rem-sqrt-square` `frac-2neg` `sqrt-pow1` `pow1/2` `clear-num`

Counts

4 → 1299

Calls

4 calls:

47.0ms	(/ (sqrt (+ (* k (+ 10.0 k)) 1.0)) (pow k m))
153.0ms	(/ (/ a (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ (sqrt (+ (* k (+ 10.0 k)) 1.0)) (pow k m)))
18.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
17.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series828.0ms

Counts

4 → 12

Calls

4 calls:

137.0ms	(/ (sqrt (+ (* k (+ 10.0 k)) 1.0)) (pow k m))
193.0ms	(/ (/ a (sqrt (+ (* k (+ 10.0 k)) 1.0))) (/ (sqrt (+ (* k (+ 10.0 k)) 1.0)) (pow k m)))
417.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
81.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify1.1s

Counts

1311 → 1311

Iterations

Useful iterations: done (915.0ms)

Iter	Nodes	Cost
0	1598	65535
done	5001	61026

prune5.5s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 1.7b

localize26.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
1.7b	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) (/ m 2))))

rewrite85.0ms

Algorithm

rewrite-expression-head

Rules

222×	`times-frac`
122×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
72×	`unpow-prod-down`
45×	`cbrt-prod`
34×	`associate-/r*`
14×	`add-exp-log`
12×	`sqr-pow`
9×	`add-cbrt-cube`
7×	`div-exp`
5×	`div-inv`
4×	`pow1` `add-log-exp`
3×	`cbrt-undiv` `pow1/3` `associate-/l*`
1×	`pow-to-exp` `frac-2neg` `pow-exp` `clear-num` `associate-/r/`

Counts

4 → 189

Calls

4 calls:

2.0ms	(cbrt k)
2.0ms	(cbrt k)
2.0ms	(cbrt k)
59.0ms	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) (/ m 2))))

series1.1s

Counts

4 → 12

Calls

4 calls:

321.0ms	(cbrt k)
264.0ms	(cbrt k)
256.0ms	(cbrt k)
281.0ms	(/ a (/ (+ (* k (+ 10.0 k)) 1.0) (pow (cbrt k) (/ m 2))))

simplify621.0ms

Counts

201 → 201

Iterations

Useful iterations: done (612.0ms)

Iter	Nodes	Cost
0	375	5353
1	1030	5050
done	5000	4890

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 1.7b

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 2.0b against oracle of 1.9b and baseline of 2.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	23
1	16	23
done	16	23

end0.0ms

sample2.3s

Algorithm

intervals

Results

1.0s	11875×	body	80	valid
501.0ms	4282×	body	80	nan