Details

sample46.0ms

Algorithm

intervals

Results

15.0ms	44×	body	1280	valid
9.0ms	238×	body	80	valid
6.0ms	29×	body	640	valid
3.0ms	24×	body	320	valid
1.0ms	9×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (cos im))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 20

Calls

1 calls:

33.0ms

(* (exp re) (cos im))

series61.0ms

Counts

1 → 3

Calls

1 calls:

61.0ms

(* (exp re) (cos im))

simplify2.9s

Counts

23 → 23

Iterations

Useful iterations: 4 (383.0ms)

Iter	Nodes	Cost
0	40	169
1	82	164
2	210	145
3	350	145
4	490	144
5	868	144
6	2183	144
done	5000	144

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.1b	(expm1 (log1p (* (exp re) (cos im))))
0.2b	(log1p (* (exp re) (cos im)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

15.0ms	(* (exp re) (cos im))
0.0ms	(expm1 (log1p (* (exp re) (cos im))))
1.0ms	(log1p (* (exp re) (cos im)))

series222.0ms

Counts

3 → 9

Calls

3 calls:

47.0ms	(* (exp re) (cos im))
86.0ms	(expm1 (log1p (* (exp re) (cos im))))
89.0ms	(log1p (* (exp re) (cos im)))

simplify2.8s

Counts

51 → 51

Iterations

Useful iterations: 4 (423.0ms)

Iter	Nodes	Cost
0	67	410
1	120	373
2	263	329
3	433	327
4	582	323
5	981	323
6	2318	323
done	5000	323

prune128.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos im) (exp re))
0.2b	(cbrt (pow (* (cos im) (exp re)) 3))
0.2b	(pow (* (cos im) (exp re)) 3)

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`expm1-log1p-u` `pow-unpow` `associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 63

Calls

3 calls:

23.0ms	(* (cos im) (exp re))
7.0ms	(cbrt (pow (* (cos im) (exp re)) 3))
20.0ms	(pow (* (cos im) (exp re)) 3)

series159.0ms

Counts

3 → 9

Calls

3 calls:

45.0ms	(* (cos im) (exp re))
38.0ms	(cbrt (pow (* (cos im) (exp re)) 3))
76.0ms	(pow (* (cos im) (exp re)) 3)

simplify3.5s

Counts

72 → 72

Iterations

Useful iterations: done (3.5s)

Iter	Nodes	Cost
0	84	663
1	160	528
2	509	499
3	3042	496
done	5001	492

prune281.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes120.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.2s	1503×	body	1280	valid
458.0ms	1240×	body	640	valid
417.0ms	6834×	body	80	valid
201.0ms	631×	body	320	valid
38.0ms	332×	body	160	valid