Details

sample44.0ms

Algorithm

intervals

Results

11.0ms	26×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	170×	body	80	valid
2.0ms	10×	body	320	valid
2.0ms	12×	body	160	valid

simplify105.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	27	9
3	33	9
4	39	9
5	48	9
6	61	9
7	79	9
8	95	9
9	102	9
10	127	9
11	139	9
done	139	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (+ x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp`
6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`diff-log`
1×	`sub-neg` `flip3--` `pow-prod-down` `prod-exp` `associate--l+` `sum-log` `*-commutative` `flip--` `cbrt-unprod` `unswap-sqr`

Counts

2 → 32

Calls

2 calls:

18.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series93.0ms

Counts

2 → 6

Calls

2 calls:

53.0ms	(- (+ x (cos y)) (* z (sin y)))
41.0ms	(* z (sin y))

simplify828.0ms

Counts

38 → 38

Iterations

Useful iterations: 2 (47.0ms)

Iter	Nodes	Cost
0	69	365
1	153	346
2	480	338
3	1903	338
done	5000	338

prune97.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

6.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series755.0ms

Counts

4 → 12

Calls

4 calls:

358.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
130.0ms	(cbrt (* z (sin y)))
129.0ms	(cbrt (* z (sin y)))
138.0ms	(cbrt (* z (sin y)))

simplify1.3s

Counts

70 → 70

Iterations

Useful iterations: 3 (351.0ms)

Iter	Nodes	Cost
0	87	790
1	189	713
2	552	633
3	2304	542
done	5001	542

prune235.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
7.2b	(cbrt (* z (sin y)))
7.2b	(cbrt (* z (sin y)))

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 40

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* z (sin y)))
2.0ms	(cbrt (* z (sin y)))

series559.0ms

Counts

4 → 12

Calls

4 calls:

185.0ms	(cbrt z)
110.0ms	(cbrt (sin y))
133.0ms	(cbrt (* z (sin y)))
132.0ms	(cbrt (* z (sin y)))

simplify1.8s

Counts

52 → 52

Iterations

Useful iterations: 4 (623.0ms)

Iter	Nodes	Cost
0	81	383
1	161	371
2	336	334
3	943	298
4	4335	284
done	5000	284

prune210.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt z)
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
7.2b	(cbrt (* z (sin y)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 42

Calls

4 calls:

0.0ms	(cbrt z)
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (* z (sin y)))

series545.0ms

Counts

4 → 12

Calls

4 calls:

188.0ms	(cbrt z)
116.0ms	(cbrt (sin y))
110.0ms	(cbrt (sin y))
131.0ms	(cbrt (* z (sin y)))

simplify1.9s

Counts

54 → 54

Iterations

Useful iterations: 4 (647.0ms)

Iter	Nodes	Cost
0	81	362
1	161	345
2	336	310
3	943	286
4	4335	279
done	5000	279

prune216.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	10	9
done	10	9

end0.0ms

sample1.3s

Algorithm

intervals

Results

440.0ms	989×	body	1280	valid
324.0ms	5550×	body	80	valid
234.0ms	863×	body	640	valid
72.0ms	397×	body	320	valid
31.0ms	201×	body	160	valid