Details

sample50.0ms

Algorithm

intervals

Results

11.0ms	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

simplify2.0s

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	105	11
5	245	11
6	579	11
7	1681	11
done	5001	11

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.5b

localize13.0ms

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)

rewrite93.0ms

Algorithm

rewrite-expression-head

Rules

138×	`times-frac`
122×	`*-un-lft-identity`
90×	`unpow-prod-down`
82×	`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×	`expm1-log1p-u` `pow-exp` `log1p-expm1-u`
3×	`pow-unpow` `fma-def`
2×	`cbrt-undiv` `pow-to-exp` `frac-2neg` `clear-num`
1×	`+-commutative` `pow-pow` `sum-log`

Counts

4 → 195

Calls

4 calls:

27.0ms	(/ (pow (/ y (+ z y)) y) y)
5.0ms	(/ y (+ z y))
44.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
8.0ms	(pow (/ y (+ z y)) y)

series520.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(/ (pow (/ y (+ z y)) y) y)
46.0ms	(/ y (+ z y))
78.0ms	(+ x (/ (pow (/ y (+ z y)) y) y))
252.0ms	(pow (/ y (+ z y)) y)

simplify982.0ms

Counts

207 → 207

Iterations

Useful iterations: 2 (308.0ms)

Iter	Nodes	Cost
0	308	3208
1	628	2992
2	1818	2925
done	5001	2925

prune569.0ms

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)

rewrite38.0ms

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×	`expm1-log1p-u` `frac-times` `prod-exp` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`pow-to-exp` `pow-pow` `pow1/3` `associate-r/` `associate-l/` `div-inv` `sqr-pow`

Counts

4 → 124

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)

series1.1s

Counts

4 → 12

Calls

4 calls:

210.0ms	(cbrt y)
218.0ms	(cbrt y)
324.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
309.0ms	(pow (/ (* (cbrt y) (cbrt y)) (* (cbrt (+ z y)) (cbrt (+ z y)))) y)

simplify2.6s

Counts

136 → 136

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	301	2387
1	696	2243
2	1619	2002
3	4763	1983
done	5000	1983

prune551.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

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)

rewrite57.0ms

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×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`pow-to-exp` `pow-pow` `flip3-+` `div-exp` `flip-+` `div-inv` `sqr-pow`
1×	`pow1/3`

Counts

4 → 208

Calls

4 calls:

1.0ms	(cbrt y)
14.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
17.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
14.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)

series1.1s

Counts

4 → 12

Calls

4 calls:

198.0ms	(cbrt y)
290.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
296.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
300.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)

simplify1.6s

Counts

220 → 220

Iterations

Useful iterations: 3 (698.0ms)

Iter	Nodes	Cost
0	212	4004
1	474	3811
2	1056	3670
3	2806	3646
done	5000	3646

prune816.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

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)

rewrite130.0ms

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×	`expm1-log1p-u` `pow-pow` `flip3-+` `div-exp` `add-cbrt-cube` `flip-+` `log1p-expm1-u` `div-inv` `add-log-exp`
3×	`unpow2`

Counts

4 → 281

Calls

4 calls:

13.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
31.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)
34.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)
31.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)

series1.2s

Counts

4 → 12

Calls

4 calls:

302.0ms	(pow (/ (cbrt y) (cbrt (+ z y))) y)
328.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)
300.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)
290.0ms	(pow (pow (/ (cbrt y) (cbrt (+ z y))) 2) y)

simplify1.2s

Counts

293 → 293

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	364	6321
1	954	5926
2	2154	5720
done	5000	5686

prune1.4s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

regimes81.0ms

Accuracy

0% (0.8b remaining)

Error of 1.0b against oracle of 0.2b and baseline of 1.0b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	12	33
1	15	33
done	15	33

end0.0ms

sample1.5s

Algorithm

intervals

Results

367.0ms	822×	body	1280	valid
314.0ms	6525×	body	80	valid
249.0ms	920×	body	640	valid
102.0ms	574×	body	320	valid
99.0ms	3023×	body	80	nan
31.0ms	290×	body	160	valid