Details

sample53.0ms

Algorithm

intervals

Results

14.0ms	29×	body	1280	valid
10.0ms	209×	body	80	valid
8.0ms	31×	body	640	valid
4.0ms	114×	body	80	nan
3.0ms	19×	body	320	valid
1.0ms	8×	body	160	valid

simplify1.9s

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	112	11
5	290	11
6	691	11
7	3439	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×	`expm1-log1p-u` `pow-unpow` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`pow-pow`

Counts

3 → 178

Calls

3 calls:

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

series397.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(/ (pow (/ y (+ z y)) y) y)
38.0ms	(/ y (+ z y))
227.0ms	(pow (/ y (+ z y)) y)

simplify938.0ms

Counts

187 → 187

Iterations

Useful iterations: 2 (195.0ms)

Iter	Nodes	Cost
0	282	2929
1	563	2745
2	2611	2688
done	5000	2688

prune446.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.3b

localize17.0ms

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)

rewrite18.0ms

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×	`expm1-log1p-u` `frac-times` `div-exp` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `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 → 72

Calls

4 calls:

0.0ms	(cbrt y)
0.0ms	(cbrt y)
0.0ms	(cbrt y)
15.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

series809.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(cbrt y)
176.0ms	(cbrt y)
175.0ms	(cbrt y)
271.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify3.0s

Counts

84 → 84

Iterations

Useful iterations: 3 (471.0ms)

Iter	Nodes	Cost
0	154	1147
1	371	1062
2	1148	939
3	4442	917
done	5000	917

prune314.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize13.0ms

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)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
10×	`*-un-lft-identity`
8×	`add-sqr-sqrt` `add-cube-cbrt`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-div`
1×	`flip3-+` `flip-+` `distribute-lft-out`

Counts

4 → 55

Calls

4 calls:

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

series673.0ms

Counts

4 → 12

Calls

4 calls:

138.0ms	(cbrt (+ z y))
175.0ms	(cbrt y)
182.0ms	(cbrt y)
177.0ms	(cbrt y)

simplify2.3s

Counts

67 → 67

Iterations

Useful iterations: 3 (148.0ms)

Iter	Nodes	Cost
0	77	384
1	160	361
2	404	335
3	1191	322
4	4816	322
done	5000	322

prune249.0ms

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 2))
4.9b	(pow (/ y (+ z y)) (/ y 2))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

80×	`*-un-lft-identity`
66×	`times-frac`
52×	`add-sqr-sqrt` `add-cube-cbrt`
36×	`unpow-prod-down`
26×	`pow-unpow`
14×	`add-exp-log` `distribute-lft-out`
8×	`associate-/r*` `associate-/r/` `add-cbrt-cube`
6×	`pow1` `div-inv` `associate-/l*`
4×	`expm1-log1p-u` `flip3-+` `div-exp` `pow-exp` `flip-+` `log1p-expm1-u` `add-log-exp`
2×	`cbrt-undiv` `pow-to-exp` `pow-pow` `frac-2neg` `clear-num` `sqr-pow`

Counts

4 → 160

Calls

4 calls:

5.0ms	(/ y (+ z y))
5.0ms	(/ y (+ z y))
8.0ms	(pow (/ y (+ z y)) (/ y 2))
8.0ms	(pow (/ y (+ z y)) (/ y 2))

series561.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(/ y (+ z y))
39.0ms	(/ y (+ z y))
245.0ms	(pow (/ y (+ z y)) (/ y 2))
233.0ms	(pow (/ y (+ z y)) (/ y 2))

simplify572.0ms

Counts

172 → 172

Iterations

Useful iterations: 2 (125.0ms)

Iter	Nodes	Cost
0	162	2208
1	417	2050
2	1459	2000
done	5000	2000

prune486.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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	15	33
done	15	33

end0.0ms

sample1.4s

Algorithm

intervals

Results

350.0ms	810×	body	1280	valid
302.0ms	6421×	body	80	valid
264.0ms	995×	body	640	valid
103.0ms	3101×	body	80	nan
91.0ms	542×	body	320	valid
36.0ms	337×	body	160	valid