Details

sample22.0ms

Algorithm

intervals

Results

8.0ms	243×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	4×	body	640	valid
0.0ms	1×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify67.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	12	7
2	25	7
3	34	7
4	41	7
5	47	7
6	49	7
done	49	7

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

3×	`add-log-exp`
1×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `sub-neg` `flip3--` `*-un-lft-identity` `diff-log` `add-cbrt-cube` `flip--`

Counts

1 → 12

Calls

1 calls:

8.0ms

(- x (* (/ 3.0 8.0) y))

series33.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(- x (* (/ 3.0 8.0) y))

simplify2.6s

Counts

15 → 15

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	32	172
1	81	165
2	256	151
3	907	151
4	2826	151
done	5002	151

prune44.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3--` `pow1/3` `flip--`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

47.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

284.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
344.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
350.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
561.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify3.3s

Counts

99 → 99

Iterations

Useful iterations: done (3.3s)

Iter	Nodes	Cost
0	119	1968
1	238	1825
2	635	1711
3	1668	1540
4	4595	1496
done	5000	1441

prune336.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
10×	`cbrt-div`
9×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `flip3--` `pow1/3` `add-cbrt-cube` `flip--` `add-log-exp`

Counts

4 → 55

Calls

4 calls:

4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
10.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.3s

Counts

4 → 12

Calls

4 calls:

322.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
319.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
355.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
274.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify2.6s

Counts

67 → 67

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	95	1057
1	195	1027
2	479	961
3	1327	927
4	3510	864
done	5000	864

prune289.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.6b	(cbrt (* (cbrt (pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))))
1.2b	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-prod`
14×	`cbrt-div`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow` `associate-*r/`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 67

Calls

4 calls:

4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
4.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
20.0ms	(cbrt (* (cbrt (pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))))
16.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)

series1.4s

Counts

4 → 12

Calls

4 calls:

374.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
331.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
331.0ms	(cbrt (* (cbrt (pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))))
371.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 6)

simplify1.6s

Counts

79 → 79

Iterations

Useful iterations: done (1.6s)

Iter	Nodes	Cost
0	157	1553
1	328	1497
2	782	1315
3	2435	1252
done	5000	1211

prune483.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes180.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	8	7
done	8	7

end0.0ms

sample650.0ms

Algorithm

intervals

Results

287.0ms	7333×	body	80	valid
41.0ms	106×	body	320	valid
29.0ms	214×	body	1280	valid
20.0ms	191×	body	640	valid
16.0ms	99×	body	2560	valid
3.0ms	57×	body	160	valid