Details

sample34.0ms

Algorithm

intervals

Results

14.0ms	372×	body	80	valid
4.0ms	139×	body	80	nan

simplify2.4s

Counts

1 → 1

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	12	15
1	24	15
2	47	13
3	91	13
4	220	13
5	650	13
6	2326	13
done	5000	13

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 1.9b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k m))
0.0b	(* k (+ 10.0 k))
4.1b	(/ a (+ (* k (+ 10.0 k)) 1.0))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

37×	`add-sqr-sqrt`
24×	`*-un-lft-identity`
22×	`add-cube-cbrt`
21×	`times-frac`
20×	`add-exp-log`
18×	`associate-l`
12×	`add-cbrt-cube`
11×	`associate-r`
7×	`prod-exp` `unswap-sqr`
5×	`pow1` `unpow-prod-down`
4×	`div-exp` `associate-/r/`
3×	`flip3-+` `associate-/r` `cbrt-unprod` `flip-+` `associate-/l` `add-log-exp` `sqr-pow`
2×	`cbrt-undiv` `pow-to-exp` `associate-r/` `pow-exp` `-commutative` `div-inv`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `associate-*l/` `clear-num` `distribute-lft-out`

Counts

3 → 97

Calls

3 calls:

29.0ms	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k m))
9.0ms	(* k (+ 10.0 k))
9.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

series216.0ms

Counts

3 → 9

Calls

3 calls:

111.0ms	(* (/ a (+ (* k (+ 10.0 k)) 1.0)) (pow k m))
40.0ms	(* k (+ 10.0 k))
64.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

simplify750.0ms

Counts

106 → 106

Iterations

Useful iterations: done (746.0ms)

Iter	Nodes	Cost
0	210	1673
1	550	1610
2	1721	1490
done	5000	1487

prune280.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 1.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
0.6b	(cbrt k)
4.1b	(/ a (+ (* k (+ 10.0 k)) 1.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`cbrt-prod` `times-frac`
6×	`add-exp-log` `add-cbrt-cube`
4×	`pow1` `add-log-exp`
3×	`pow1/3` `associate-/r` `associate-/l`
2×	`associate-/r/`
1×	`cbrt-undiv` `frac-2neg` `flip3-+` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

4 → 62

Calls

4 calls:

0.0ms	(cbrt k)
0.0ms	(cbrt k)
0.0ms	(cbrt k)
9.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

series610.0ms

Counts

4 → 12

Calls

4 calls:

183.0ms	(cbrt k)
178.0ms	(cbrt k)
181.0ms	(cbrt k)
67.0ms	(/ a (+ (* k (+ 10.0 k)) 1.0))

simplify1.1s

Counts

74 → 74

Iterations

Useful iterations: 3 (333.0ms)

Iter	Nodes	Cost
0	105	717
1	232	696
2	614	640
3	1920	627
done	5001	627

prune267.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 1.9b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
0.6b	(cbrt k)
14.7b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
14.7b	(sqrt (+ (* k (+ 10.0 k)) 1.0))

rewrite20.0ms

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:

0.0ms	(cbrt k)
0.0ms	(cbrt k)
10.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
8.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

series462.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt k)
179.0ms	(cbrt k)
52.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
47.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))

simplify957.0ms

Counts

64 → 64

Iterations

Useful iterations: 3 (253.0ms)

Iter	Nodes	Cost
0	79	640
1	178	584
2	473	552
3	1508	524
done	5000	524

prune274.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 1.9b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt k)
14.7b	(sqrt (+ (* k (+ 10.0 k)) 1.0))
15.2b	(cbrt (+ (* k (+ 10.0 k)) 1.0))
15.2b	(cbrt (+ (* k (+ 10.0 k)) 1.0))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

0.0ms	(cbrt k)
7.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
4.0ms	(cbrt (+ (* k (+ 10.0 k)) 1.0))
5.0ms	(cbrt (+ (* k (+ 10.0 k)) 1.0))

series457.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt k)
47.0ms	(sqrt (+ (* k (+ 10.0 k)) 1.0))
108.0ms	(cbrt (+ (* k (+ 10.0 k)) 1.0))
113.0ms	(cbrt (+ (* k (+ 10.0 k)) 1.0))

simplify1.2s

Counts

64 → 64

Iterations

Useful iterations: 3 (459.0ms)

Iter	Nodes	Cost
0	122	892
1	277	842
2	747	788
3	2299	756
done	5001	756

prune344.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 1.9b

regimes81.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	22
1	20	22
done	20	22

end0.0ms

sample972.0ms

Algorithm

intervals

Results

465.0ms	11803×	body	80	valid
152.0ms	4310×	body	80	nan