Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	243×	body	80	valid
1.0ms	5×	body	1280	valid
0.0ms	2×	body	2560	valid
0.0ms	3×	body	640	valid
0.0ms	3×	body	160	valid

simplify65.0ms

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	50	7
done	50	7

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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))

series42.0ms

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify2.8s

Counts

15 → 15

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	32	172
1	81	165
2	262	151
3	1036	151
4	4733	151
done	5001	151

prune50.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)))

rewrite56.0ms

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:

42.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
4.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.3s

Counts

4 → 12

Calls

4 calls:

311.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
317.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
348.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
344.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify6.0s

Counts

99 → 99

Iterations

Useful iterations: done (5.9s)

Iter	Nodes	Cost
0	119	1968
1	260	1825
2	891	1711
3	4665	1549
done	5000	1543

prune333.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

30×	`cbrt-prod`
14×	`cbrt-div`
11×	`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 → 61

Calls

4 calls:

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

series1.5s

Counts

4 → 12

Calls

4 calls:

382.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
388.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
345.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
345.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify952.0ms

Counts

73 → 73

Iterations

Useful iterations: done (949.0ms)

Iter	Nodes	Cost
0	95	1219
1	195	1185
2	489	1115
3	1522	1085
done	5000	1032

prune357.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 52

Calls

4 calls:

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

series2.0s

Counts

4 → 12

Calls

4 calls:

392.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
763.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
421.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
436.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify989.0ms

Counts

64 → 64

Iterations

Useful iterations: done (987.0ms)

Iter	Nodes	Cost
0	64	976
1	137	948
2	366	884
3	1222	848
done	5001	808

prune326.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes212.0ms

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

sample759.0ms

Algorithm

intervals

Results

349.0ms	7343×	body	80	valid
44.0ms	257×	body	1280	valid
21.0ms	171×	body	640	valid
17.0ms	93×	body	2560	valid
9.0ms	88×	body	320	valid
3.0ms	48×	body	160	valid