Details

sample69.0ms

Algorithm

intervals

Results

21.0ms	32×	body	1280	valid
16.0ms	178×	body	80	valid
10.0ms	23×	body	640	valid
5.0ms	17×	body	320	valid
1.0ms	6×	body	160	valid

simplify2.6s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	9
1	14	9
2	28	9
3	41	9
4	57	9
5	68	9
6	131	9
7	343	9
8	885	9
9	2386	9
done	5000	9

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt` `*-un-lft-identity`
5×	`add-cube-cbrt`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`fma-def` `associate-r` `associate-l`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `flip3-+` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+` `distribute-lft-out` `unswap-sqr`

Counts

2 → 37

Calls

2 calls:

10.0ms	(+ x (cos y))
22.0ms	(* z (sin y))

series87.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(+ x (cos y))
49.0ms	(* z (sin y))

simplify2.4s

Counts

43 → 43

Iterations

Useful iterations: 3 (342.0ms)

Iter	Nodes	Cost
0	67	260
1	154	252
2	410	230
3	1337	227
4	4431	227
done	5000	227

prune117.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))

rewrite39.0ms

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×	`expm1-log1p-u` `swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `log1p-expm1-u` `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 → 66

Calls

4 calls:

19.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))
5.0ms	(cbrt (* z (sin y)))

series688.0ms

Counts

4 → 12

Calls

4 calls:

197.0ms	(* (cbrt (* z (sin y))) (cbrt (* z (sin y))))
162.0ms	(cbrt (* z (sin y)))
158.0ms	(cbrt (* z (sin y)))
170.0ms	(cbrt (* z (sin y)))

simplify681.0ms

Counts

78 → 78

Iterations

Useful iterations: done (678.0ms)

Iter	Nodes	Cost
0	91	850
1	218	773
2	821	690
done	5001	621

prune378.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (sin y))
0.6b	(cbrt z)
7.5b	(cbrt (* z (sin y)))
7.5b	(cbrt (* z (sin y)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`cbrt-prod`
6×	`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 → 48

Calls

4 calls:

1.0ms	(cbrt (sin y))
1.0ms	(cbrt z)
4.0ms	(cbrt (* z (sin y)))
4.0ms	(cbrt (* z (sin y)))

series771.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(cbrt (sin y))
299.0ms	(cbrt z)
172.0ms	(cbrt (* z (sin y)))
154.0ms	(cbrt (* z (sin y)))

simplify752.0ms

Counts

60 → 60

Iterations

Useful iterations: done (750.0ms)

Iter	Nodes	Cost
0	87	421
1	174	408
2	456	371
3	1592	335
done	5000	318

prune295.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin y)) (cbrt (sin y)))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))
0.6b	(cbrt (sin y))

rewrite21.0ms

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:

15.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
1.0ms	(cbrt (sin y))
1.0ms	(cbrt (sin y))
2.0ms	(cbrt (sin y))

series490.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (sin y)) (cbrt (sin y)))
121.0ms	(cbrt (sin y))
130.0ms	(cbrt (sin y))
123.0ms	(cbrt (sin y))

simplify1.2s

Counts

93 → 93

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	79	750
1	183	664
2	715	564
done	5000	549

prune284.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes79.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	23
1	19	23
done	19	23

end0.0ms

sample2.8s

Algorithm

intervals

Results

796.0ms	953×	body	1280	valid
752.0ms	5643×	body	80	valid
684.0ms	791×	body	640	valid
119.0ms	395×	body	320	valid
45.0ms	218×	body	160	valid