Details

sample52.0ms

Algorithm

intervals

Results

11.0ms	24×	body	1280	valid
10.0ms	217×	body	80	valid
8.0ms	30×	body	640	valid
6.0ms	99×	body	80	nan
3.0ms	17×	body	320	valid
1.0ms	9×	body	160	valid

simplify1.7s

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	1627	11
done	5000	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (pow (/ y (+ z y)) y) y)
0.0b	(/ y (+ z y))
0.0b	(+ x (/ (pow (/ y (+ z y)) y) y))
6.8b	(pow (/ y (+ z y)) y)

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 184

Calls

4 calls:

26.0ms	(/ (pow (/ y (+ z y)) y) y)
8.0ms	(/ y (+ z y))
43.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
8.0ms	(pow (/ y (+ z y)) y)

series527.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(/ (pow (/ y (+ z y)) y) y)
42.0ms	(/ y (+ z y))
84.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
253.0ms	(pow (/ y (+ z y)) y)

simplify884.0ms

Counts

196 → 196

Iterations

Useful iterations: 2 (292.0ms)

Iter	Nodes	Cost
0	300	3136
1	609	2929
2	1740	2864
done	5000	2864

prune535.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
0.6b	(cbrt y)
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.4b	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

61×	`unpow-prod-down`
51×	`cbrt-prod`
48×	`*-un-lft-identity`
43×	`times-frac`
36×	`add-sqr-sqrt` `add-cube-cbrt`
20×	`add-exp-log`
14×	`cbrt-div`
10×	`associate-/r/`
7×	`flip3-+` `pow-exp` `flip-+`
6×	`pow1` `pow-unpow` `distribute-lft-out`
5×	`div-exp`
4×	`frac-times` `prod-exp` `add-cbrt-cube` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 116

Calls

4 calls:

0.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
19.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series996.0ms

Counts

4 → 12

Calls

4 calls:

193.0ms	(cbrt y)
200.0ms	(cbrt y)
297.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
305.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify1.9s

Counts

128 → 128

Iterations

Useful iterations: 3 (886.0ms)

Iter	Nodes	Cost
0	295	2319
1	681	2162
2	1538	1952
3	4345	1927
done	5000	1927

prune443.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

144×	`unpow-prod-down`
138×	`cbrt-prod`
126×	`times-frac`
125×	`*-un-lft-identity`
89×	`add-sqr-sqrt` `add-cube-cbrt`
18×	`distribute-lft-out`
13×	`add-exp-log`
9×	`pow-unpow`
7×	`pow1`
6×	`cbrt-div` `pow-exp` `associate-/r/`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`
1×	`pow1/3`

Counts

4 → 200

Calls

4 calls:

0.0ms	(cbrt y)
13.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
13.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
17.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

190.0ms	(cbrt y)
292.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
297.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
292.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)

simplify1.5s

Counts

212 → 212

Iterations

Useful iterations: 3 (540.0ms)

Iter	Nodes	Cost
0	208	3938
1	464	3679
2	1003	3592
3	2571	3562
done	5000	3562

prune670.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.4b	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)
2.4b	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)
2.4b	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)

rewrite133.0ms

Algorithm

rewrite-expression-head

Rules

351×	`unpow-prod-down`
180×	`cbrt-prod`
168×	`times-frac`
167×	`*-un-lft-identity`
119×	`add-sqr-sqrt` `add-cube-cbrt`
24×	`distribute-lft-out`
20×	`pow-exp`
19×	`add-exp-log`
12×	`pow-unpow`
8×	`cbrt-div` `associate-/r/`
7×	`pow-to-exp` `sqr-pow`
5×	`pow1`
4×	`pow-pow` `flip3-+` `div-exp` `add-cbrt-cube` `flip-+` `div-inv` `add-log-exp`
3×	`unpow2`

Counts

4 → 273

Calls

4 calls:

13.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
31.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)
35.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)
30.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

281.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
284.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)
287.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)
286.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)

simplify836.0ms

Counts

285 → 285

Iterations

Useful iterations: done (820.0ms)

Iter	Nodes	Cost
0	360	6229
1	941	5725
2	2046	5598
done	5000	5582

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes68.0ms

Accuracy

0% (1.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	14	33
done	14	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

363.0ms	822×	body	1280	valid
300.0ms	6525×	body	80	valid
245.0ms	920×	body	640	valid
103.0ms	3023×	body	80	nan
102.0ms	574×	body	320	valid
31.0ms	290×	body	160	valid