Details

sample52.0ms

Algorithm

intervals

Results

18.0ms	46×	body	1280	valid
13.0ms	54×	body	640	valid
7.0ms	127×	body	80	valid
2.0ms	13×	body	320	valid
2.0ms	16×	body	160	valid

simplify8.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	9
1	13	9
2	21	9
3	25	9
done	25	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
3×	`expm1-log1p-u` `log1p-expm1-u`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `fma-neg` `diff-log` `prod-diff` `flip--`

Counts

3 → 56

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series141.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(- (* x (cos y)) (* z (sin y)))
34.0ms	(* x (cos y))
39.0ms	(* z (sin y))

simplify2.4s

Counts

65 → 65

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	92	527
1	189	495
2	556	477
3	1682	476
4	3908	471
done	5000	471

prune164.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(fma z (- (sin y)) (* x (cos y)))
0.1b	(* x (cos y))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
3×	`associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef` `unswap-sqr`

Counts

2 → 30

Calls

2 calls:

0.0ms	(fma z (- (sin y)) (* x (cos y)))
3.0ms	(* x (cos y))

series116.0ms

Counts

2 → 6

Calls

2 calls:

80.0ms	(fma z (- (sin y)) (* x (cos y)))
37.0ms	(* x (cos y))

simplify3.3s

Counts

36 → 36

Iterations

Useful iterations: 2 (23.0ms)

Iter	Nodes	Cost
0	51	284
1	90	281
2	224	247
3	521	247
4	1224	247
5	4466	247
done	5000	247

prune111.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 81

Calls

4 calls:

6.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series427.0ms

Counts

4 → 12

Calls

4 calls:

150.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
91.0ms	(cbrt (cos y))
95.0ms	(cbrt (cos y))
92.0ms	(cbrt (cos y))

simplify1.4s

Counts

93 → 93

Iterations

Useful iterations: 3 (339.0ms)

Iter	Nodes	Cost
0	68	726
1	128	651
2	425	551
3	2165	529
done	5001	529

prune327.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 52

Calls

4 calls:

1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series380.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(cbrt (cos y))
103.0ms	(cbrt (cos y))
90.0ms	(cbrt (cos y))
92.0ms	(cbrt (cos y))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: 4 (381.0ms)

Iter	Nodes	Cost
0	29	376
1	50	360
2	133	324
3	431	312
4	2363	308
done	5000	308

prune416.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

regimes123.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	13	18
done	13	18

end0.0ms

sample1.6s

Algorithm

intervals

Results

635.0ms	1513×	body	1280	valid
328.0ms	1288×	body	640	valid
249.0ms	4291×	body	80	valid
102.0ms	592×	body	320	valid
43.0ms	316×	body	160	valid