Details

sample54.0ms

Algorithm

intervals

Results

19.0ms	46×	body	1280	valid
14.0ms	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

prune2.0ms

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))

rewrite11.0ms

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

series146.0ms

Counts

3 → 9

Calls

3 calls:

69.0ms	(- (* x (cos y)) (* z (sin y)))
35.0ms	(* x (cos y))
42.0ms	(* z (sin y))

simplify1.1s

Counts

65 → 65

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	92	527
1	202	495
2	630	459
3	1930	458
done	5000	453

prune165.0ms

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))

rewrite13.0ms

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:

9.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series452.0ms

Counts

4 → 12

Calls

4 calls:

159.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
97.0ms	(cbrt (cos y))
97.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))

simplify1.6s

Counts

93 → 93

Iterations

Useful iterations: 3 (312.0ms)

Iter	Nodes	Cost
0	68	726
1	131	655
2	486	551
3	2287	529
done	5000	529

prune275.0ms

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))

series384.0ms

Counts

4 → 12

Calls

4 calls:

95.0ms	(cbrt (cos y))
96.0ms	(cbrt (cos y))
94.0ms	(cbrt (cos y))
99.0ms	(cbrt (cos y))

simplify1.5s

Counts

64 → 64

Iterations

Useful iterations: 4 (310.0ms)

Iter	Nodes	Cost
0	29	376
1	50	360
2	136	324
3	435	312
4	2153	308
done	5000	308

prune240.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

rewrite9.0ms

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 z) (cbrt z))
0.0ms	(cbrt z)
0.0ms	(cbrt z)
1.0ms	(cbrt z)

series746.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(* (cbrt z) (cbrt z))
187.0ms	(cbrt z)
178.0ms	(cbrt z)
177.0ms	(cbrt z)

simplify1.5s

Counts

93 → 93

Iterations

Useful iterations: 3 (295.0ms)

Iter	Nodes	Cost
0	65	554
1	122	495
2	449	423
3	1993	405
done	5001	405

prune263.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes139.0ms

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	14	18
done	14	18

end0.0ms

sample1.6s

Algorithm

intervals

Results

636.0ms	1513×	body	1280	valid
355.0ms	1288×	body	640	valid
246.0ms	4291×	body	80	valid
105.0ms	592×	body	320	valid
39.0ms	316×	body	160	valid