Details

sample21.0ms

Algorithm

intervals

Results

7.0ms	239×	body	80	valid
1.0ms	6×	body	640	valid
1.0ms	4×	body	1280	valid
0.0ms	3×	body	2560	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify61.0ms

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

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))

series31.0ms

Counts

1 → 3

Calls

1 calls:

31.0ms

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

simplify2.7s

Counts

15 → 15

Iterations

Useful iterations: 2 (29.0ms)

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

prune39.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize12.0ms

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)))

rewrite47.0ms

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:

32.0ms	(* (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)))

series1.5s

Counts

4 → 12

Calls

4 calls:

280.0ms	(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
373.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
396.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
420.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))

simplify5.8s

Counts

99 → 99

Iterations

Useful iterations: done (5.8s)

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

prune432.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

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)))
0.9b	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3--` `flip--`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
17.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

series1.5s

Counts

4 → 12

Calls

4 calls:

421.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
339.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
410.0ms	(cbrt (- x (* (/ 3.0 8.0) y)))
345.0ms	(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 4)

simplify676.0ms

Counts

75 → 75

Iterations

Useful iterations: done (671.0ms)

Iter	Nodes	Cost
0	143	1241
1	362	1188
2	1151	1089
done	5000	1054

prune339.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- x (* (/ 3.0 8.0) y))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.0b	(sqrt (- x (* (/ 3.0 8.0) y)))
0.3b	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
16×	`sqrt-div`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
9×	`flip3--` `flip--`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
5×	`pow-prod-up`
4×	`frac-times` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square` `associate-r/` `associate-l/`
1×	`pow2` `sub-neg` `pow-plus` `sqrt-unprod` `diff-log` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod`

Counts

4 → 99

Calls

4 calls:

5.0ms	(- x (* (/ 3.0 8.0) y))
5.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
9.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
48.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

series299.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(- x (* (/ 3.0 8.0) y))
101.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
116.0ms	(sqrt (- x (* (/ 3.0 8.0) y)))
48.0ms	(* (sqrt (- x (* (/ 3.0 8.0) y))) (sqrt (- x (* (/ 3.0 8.0) y))))

simplify1.0s

Counts

111 → 111

Iterations

Useful iterations: done (1.0s)

Iter	Nodes	Cost
0	112	2076
1	253	1479
2	1201	1365
done	5000	1326

prune283.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes224.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b 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

sample1.2s

Algorithm

intervals

Results

448.0ms	51×	body	160	valid
374.0ms	7357×	body	80	valid
39.0ms	223×	body	1280	valid
26.0ms	171×	body	640	valid
20.0ms	94×	body	2560	valid
11.0ms	104×	body	320	valid