Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	29×	body	1280	valid
10.0ms	209×	body	80	valid
9.0ms	31×	body	640	valid
4.0ms	114×	body	80	nan
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	10	13
1	18	13
2	27	11
3	54	11
4	103	11
5	240	11
6	550	11
7	1623	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (pow (/ y (+ z y)) y) y)
0.0b	(/ y (+ z y))
4.9b	(pow (/ y (+ z y)) y)

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
118×	`*-un-lft-identity`
90×	`unpow-prod-down`
80×	`add-sqr-sqrt` `add-cube-cbrt`
25×	`associate-/l*`
19×	`distribute-lft-out`
16×	`add-exp-log`
12×	`associate-/r/`
7×	`div-exp` `associate-/r*` `add-cbrt-cube` `div-inv`
6×	`flip3-+` `flip-+`
5×	`sqr-pow`
4×	`pow1` `pow-exp`
3×	`pow-unpow` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 172

Calls

3 calls:

27.0ms	(/ (pow (/ y (+ z y)) y) y)
5.0ms	(/ y (+ z y))
7.0ms	(pow (/ y (+ z y)) y)

series413.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(/ (pow (/ y (+ z y)) y) y)
40.0ms	(/ y (+ z y))
231.0ms	(pow (/ y (+ z y)) y)

simplify708.0ms

Counts

181 → 181

Iterations

Useful iterations: 2 (252.0ms)

Iter	Nodes	Cost
0	276	2881
1	538	2705
2	1570	2650
done	5000	2650

prune448.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)
0.7b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
13×	`unpow-prod-down`
12×	`cbrt-div`
9×	`cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
8×	`associate-/r/`
6×	`flip3-+` `flip-+`
5×	`pow1` `pow-exp`
4×	`frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3`
2×	`associate-r/` `associate-l/`
1×	`pow-to-exp` `pow-pow` `times-frac` `div-inv` `sqr-pow`

Counts

4 → 64

Calls

4 calls:

1.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)
18.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series834.0ms

Counts

4 → 12

Calls

4 calls:

184.0ms	(cbrt y)
188.0ms	(cbrt y)
178.0ms	(cbrt y)
284.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify976.0ms

Counts

76 → 76

Iterations

Useful iterations: 3 (380.0ms)

Iter	Nodes	Cost
0	150	1093
1	357	1017
2	859	899
3	2489	873
done	5001	873

prune276.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ z y))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 47

Calls

4 calls:

2.0ms	(cbrt (+ z y))
0.0ms	(cbrt y)
0.0ms	(cbrt y)
1.0ms	(cbrt y)

series677.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (+ z y))
178.0ms	(cbrt y)
178.0ms	(cbrt y)
182.0ms	(cbrt y)

simplify1.4s

Counts

59 → 59

Iterations

Useful iterations: 4 (476.0ms)

Iter	Nodes	Cost
0	73	356
1	151	335
2	346	309
3	830	297
4	2835	295
done	5001	295

prune247.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ y (+ z y))
0.0b	(/ y (+ z y))
4.9b	(pow (/ y (+ z y)) y)
4.9b	(pow (/ y (+ z y)) y)

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

68×	`*-un-lft-identity`
48×	`times-frac`
40×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-down`
14×	`add-exp-log` `distribute-lft-out`
8×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
6×	`pow1` `pow-unpow` `associate-/l*`
4×	`flip3-+` `div-exp` `pow-exp` `flip-+` `div-inv` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

4 → 132

Calls

4 calls:

5.0ms	(/ y (+ z y))
5.0ms	(/ y (+ z y))
7.0ms	(pow (/ y (+ z y)) y)
7.0ms	(pow (/ y (+ z y)) y)

series560.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(/ y (+ z y))
49.0ms	(/ y (+ z y))
237.0ms	(pow (/ y (+ z y)) y)
234.0ms	(pow (/ y (+ z y)) y)

simplify977.0ms

Counts

144 → 144

Iterations

Useful iterations: 3 (402.0ms)

Iter	Nodes	Cost
0	129	1672
1	310	1564
2	788	1512
3	2217	1500
done	5000	1500

prune442.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes56.0ms

Accuracy

0% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 1.0b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	35
1	16	35
done	16	35

end0.0ms

sample1.5s

Algorithm

intervals

Results

362.0ms	810×	body	1280	valid
298.0ms	6421×	body	80	valid
267.0ms	995×	body	640	valid
105.0ms	3101×	body	80	nan
92.0ms	542×	body	320	valid
39.0ms	337×	body	160	valid