Details

sample45.0ms

Algorithm

intervals

Results

12.0ms	26×	body	1280	valid
10.0ms	38×	body	640	valid
9.0ms	170×	body	80	valid
2.0ms	10×	body	320	valid
1.0ms	12×	body	160	valid

simplify106.0ms

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	74	9
8	87	9
9	101	9
10	122	9
11	136	9
done	136	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

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

rewrite25.0ms

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:

20.0ms	(- (+ x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))

series98.0ms

Counts

2 → 6

Calls

2 calls:

56.0ms	(- (+ x (cos y)) (* z (sin y)))
42.0ms	(* z (sin y))

simplify1.8s

Counts

38 → 38

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	69	365
1	153	346
2	409	338
3	1282	338
4	4198	338
done	5000	338

prune102.0ms

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)))

rewrite14.0ms

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:

7.0ms	(* (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)))

series595.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
137.0ms	(cbrt (* z (sin y)))
145.0ms	(cbrt (* z (sin y)))
137.0ms	(cbrt (* z (sin y)))

simplify2.2s

Counts

70 → 70

Iterations

Useful iterations: 4 (987.0ms)

Iter	Nodes	Cost
0	87	790
1	189	713
2	479	633
3	1432	542
4	4737	494
done	5000	494

prune255.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

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)))

rewrite6.0ms

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:

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

series787.0ms

Counts

4 → 12

Calls

4 calls:

395.0ms	(cbrt z)
114.0ms	(cbrt (sin y))
137.0ms	(cbrt (* z (sin y)))
141.0ms	(cbrt (* z (sin y)))

simplify1.2s

Counts

52 → 52

Iterations

Useful iterations: 4 (420.0ms)

Iter	Nodes	Cost
0	81	383
1	161	371
2	332	334
3	832	298
4	3026	284
done	5001	284

prune212.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* z (sin y))
0.2b	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
6.6b	(sqrt (* z (sin y)))
6.6b	(sqrt (* z (sin y)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-exp-log` `add-cbrt-cube`
7×	`associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 89

Calls

4 calls:

4.0ms	(* z (sin y))
15.0ms	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
2.0ms	(sqrt (* z (sin y)))
2.0ms	(sqrt (* z (sin y)))

series209.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* z (sin y))
49.0ms	(* (sqrt (* z (sin y))) (sqrt (* z (sin y))))
57.0ms	(sqrt (* z (sin y)))
62.0ms	(sqrt (* z (sin y)))

simplify2.2s

Counts

101 → 101

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	111	990
1	246	707
2	805	650
3	3748	607
done	5001	600

prune240.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes130.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify4.0ms

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

430.0ms	989×	body	1280	valid
298.0ms	5550×	body	80	valid
229.0ms	863×	body	640	valid
69.0ms	397×	body	320	valid
26.0ms	201×	body	160	valid