Details

sample54.0ms

Algorithm

intervals

Results

14.0ms	24×	body	1280	valid
10.0ms	217×	body	80	valid
8.0ms	30×	body	640	valid
3.0ms	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 (5.0ms)

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

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize9.0ms

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)

rewrite91.0ms

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)
5.0ms	(/ y (+ z y))
42.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
8.0ms	(pow (/ y (+ z y)) y)

series575.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ (pow (/ y (+ z y)) y) y)
47.0ms	(/ y (+ z y))
92.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
275.0ms	(pow (/ y (+ z y)) y)

simplify958.0ms

Counts

196 → 196

Iterations

Useful iterations: 2 (315.0ms)

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

prune825.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.5b

localize19.0ms

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)

rewrite39.0ms

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:

1.0ms	(cbrt y)
1.0ms	(cbrt y)
13.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
18.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

214.0ms	(cbrt y)
219.0ms	(cbrt y)
298.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
325.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.1s

Counts

128 → 128

Iterations

Useful iterations: 3 (976.0ms)

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

prune471.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

54×	`unpow-prod-down`
49×	`*-un-lft-identity`
48×	`cbrt-prod`
42×	`times-frac`
37×	`add-sqr-sqrt` `add-cube-cbrt`
9×	`add-exp-log` `pow-unpow`
7×	`pow1`
6×	`distribute-lft-out`
4×	`pow-exp` `add-cbrt-cube` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `sqr-pow`
2×	`cbrt-div` `associate-/r/`
1×	`flip3-+` `pow1/3` `div-exp` `flip-+` `div-inv`

Counts

4 → 108

Calls

4 calls:

1.0ms	(cbrt y)
17.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
1.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)
1.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)

series618.0ms

Counts

4 → 12

Calls

4 calls:

217.0ms	(cbrt y)
328.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
35.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)
36.0ms	(pow (fabs (/ (cbrt y) (cbrt (+ z y)))) y)

simplify1.6s

Counts

120 → 120

Iterations

Useful iterations: 3 (653.0ms)

Iter	Nodes	Cost
0	241	1988
1	532	1853
2	1180	1794
3	3025	1778
done	5000	1778

prune474.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt y)
1.5b	(pow (/ (cbrt y) (cbrt (+ z y))) y)
2.4b	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))
2.4b	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))

rewrite95.0ms

Algorithm

rewrite-expression-head

Rules

250×	`unpow-prod-down`
144×	`times-frac`
139×	`*-un-lft-identity`
138×	`cbrt-prod`
103×	`add-sqr-sqrt` `add-cube-cbrt`
29×	`pow-unpow`
18×	`distribute-lft-out`
15×	`add-exp-log`
14×	`pow-exp`
6×	`cbrt-div` `associate-/r/`
5×	`pow1` `pow-to-exp` `div-inv` `sqr-pow`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-pow` `flip3-+` `div-exp` `flip-+`
2×	`unpow2`
1×	`pow1/3`

Counts

4 → 234

Calls

4 calls:

1.0ms	(cbrt y)
13.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
36.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))
30.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))

series1.2s

Counts

4 → 12

Calls

4 calls:

215.0ms	(cbrt y)
326.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
341.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))
348.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) (/ y 2))

simplify1.1s

Counts

246 → 246

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	391	5476
1	1034	5026
2	2336	4903
done	5001	4847

prune1.1s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes76.0ms

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	17	35
done	17	35

end0.0ms

sample1.5s

Algorithm

intervals

Results

363.0ms	822×	body	1280	valid
311.0ms	6525×	body	80	valid
246.0ms	920×	body	640	valid
103.0ms	3023×	body	80	nan
100.0ms	574×	body	320	valid
31.0ms	290×	body	160	valid