Details

sample17.0ms

Algorithm

intervals

Results

6.0ms	237×	body	80	valid
1.0ms	8×	body	1280	valid
0.0ms	6×	body	640	valid
0.0ms	3×	body	2560	valid
0.0ms	1×	body	320	valid
0.0ms	1×	body	160	valid

simplify41.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite11.0ms

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:

10.0ms

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

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

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

simplify2.8s

Counts

15 → 15

Iterations

Useful iterations: 2 (46.0ms)

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

prune27.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.1b

localize15.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (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)))

rewrite43.0ms

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:

30.0ms	(* (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)))
3.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

series1.4s

Counts

4 → 12

Calls

4 calls:

323.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
352.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
366.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
347.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify5.3s

Counts

99 → 99

Iterations

Useful iterations: done (5.3s)

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

prune313.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

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))))

rewrite18.0ms

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)))
5.0ms	(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))))

series1.6s

Counts

4 → 12

Calls

4 calls:

419.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
384.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
442.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
326.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.1s

Counts

73 → 73

Iterations

Useful iterations: done (1.1s)

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

prune359.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize47.0ms

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod`
16×	`cbrt-div`
12×	`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 → 64

Calls

4 calls:

7.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
6.0ms	(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))))

series1.6s

Counts

4 → 12

Calls

4 calls:

390.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
421.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
424.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
392.0ms	(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.0s

Counts

76 → 76

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	76	1300
1	150	1264
2	380	1192
3	1228	1164
done	5001	1112

prune473.0ms

Pruning

9 alts after pruning (5 fresh and 4 done)

Merged error: 0.0b

regimes257.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.1b 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

sample813.0ms

Algorithm

intervals

Results

391.0ms	7384×	body	80	valid
37.0ms	212×	body	1280	valid
23.0ms	159×	body	640	valid
22.0ms	102×	body	2560	valid
9.0ms	88×	body	320	valid
4.0ms	55×	body	160	valid