Details

sample20.0ms

Algorithm

intervals

Results

6.0ms	233×	body	80	valid
1.0ms	9×	body	1280	valid
1.0ms	5×	body	2560	valid
1.0ms	7×	body	640	valid
0.0ms	2×	body	320	valid

simplify57.0ms

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

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

5.0ms

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

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

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

simplify2.9s

Counts

15 → 15

Iterations

Useful iterations: 2 (38.0ms)

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

prune37.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite74.0ms

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:

54.0ms	(* (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)))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.5s

Counts

4 → 12

Calls

4 calls:

404.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
434.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
337.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
366.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify4.1s

Counts

99 → 99

Iterations

Useful iterations: done (4.1s)

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

prune387.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize50.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (- x (* (/ 3.0 8.0) y)))
0.6b	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
0.6b	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
0.6b	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

45×	`cbrt-prod`
18×	`unpow-prod-down`
14×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`unpow2` `sqr-pow`
2×	`cbrt-div`
1×	`flip3--` `flip--`

Counts

4 → 70

Calls

4 calls:

3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
8.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
8.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
15.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))

series1.5s

Counts

4 → 12

Calls

4 calls:

396.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
361.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
362.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
370.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))

simplify3.7s

Counts

82 → 82

Iterations

Useful iterations: 4 (1.9s)

Iter	Nodes	Cost
0	111	1498
1	237	1328
2	562	1235
3	1516	1205
4	4522	1189
done	5000	1189

prune469.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize71.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b	(cbrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
0.6b	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

34×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `unpow-prod-down` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`unpow2` `sqr-pow`

Counts

4 → 60

Calls

4 calls:

1.0ms	(cbrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
1.0ms	(cbrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
8.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
8.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))

series807.0ms

Counts

4 → 12

Calls

4 calls:

72.0ms	(cbrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
71.0ms	(cbrt (fabs (cbrt (- x (* (/ 3.0 8.0) y)))))
353.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))
310.0ms	(cbrt (pow (cbrt (- x (* (/ 3.0 8.0) y))) 2))

simplify1.5s

Counts

72 → 72

Iterations

Useful iterations: done (1.5s)

Iter	Nodes	Cost
0	89	1250
1	162	1142
2	295	1046
3	564	1026
4	1451	1022
done	5000	1014

prune315.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

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

end0.0ms

sample677.0ms

Algorithm

intervals

Results

305.0ms	7402×	body	80	valid
51.0ms	147×	body	640	valid
31.0ms	231×	body	1280	valid
15.0ms	88×	body	2560	valid
7.0ms	82×	body	320	valid
3.0ms	50×	body	160	valid