Details

sample91.0ms

Algorithm

intervals

Results

38.0ms	101×	body	1280	valid
16.0ms	77×	body	640	valid
14.0ms	248×	body	80	valid
7.0ms	47×	body	320	valid
2.0ms	23×	body	160	valid

simplify870.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	56	11
3	82	11
4	184	11
5	250	11
6	322	11
7	561	11
8	677	11
9	713	11
10	839	11
11	856	11
done	856	11

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `*-un-lft-identity` `add-cbrt-cube`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `distribute-lft-out`
1×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-l` `sum-log` `*-commutative`

Counts

2 → 35

Calls

2 calls:

9.0ms	(+ (exp (- im)) (exp im))
32.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series90.0ms

Counts

2 → 6

Calls

2 calls:

29.0ms	(+ (exp (- im)) (exp im))
61.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify2.5s

Counts

41 → 41

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	87	548
1	247	530
2	927	441
3	4088	437
done	5000	437

prune96.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
0.0b	(/ (* 0.5 (cos re)) (exp im))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-cbrt-cube`
5×	`add-exp-log`
4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `associate-/l*`

Counts

2 → 32

Calls

2 calls:

10.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
5.0ms	(/ (* 0.5 (cos re)) (exp im))

series121.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(+ (/ (* 0.5 (cos re)) (exp im)) (* (exp im) (* 0.5 (cos re))))
37.0ms	(/ (* 0.5 (cos re)) (exp im))

simplify2.0s

Counts

38 → 38

Iterations

Useful iterations: 3 (866.0ms)

Iter	Nodes	Cost
0	87	582
1	238	546
2	846	469
3	4205	446
done	5000	446

prune96.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
0.1b	(* 1/12 (pow im 4))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
7×	`add-exp-log` `associate-r` `add-log-exp`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube`
3×	`associate-l` `prod-exp` `sum-log` `unswap-sqr`
2×	`pow1` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `associate-+r+` `flip3-+` `pow-exp` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 38

Calls

2 calls:

19.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
6.0ms	(* 1/12 (pow im 4))

series77.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* 1/12 (pow im 4)) (+ (pow im 2) 2))
41.0ms	(* 1/12 (pow im 4))

simplify1.6s

Counts

44 → 44

Iterations

Useful iterations: 3 (557.0ms)

Iter	Nodes	Cost
0	77	494
1	196	440
2	555	416
3	2461	413
done	5000	413

prune109.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes113.0ms

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	10	11
1	13	11
done	13	11

end0.0ms

sample2.6s

Algorithm

intervals

Results

1.2s	2990×	body	1280	valid
511.0ms	2386×	body	640	valid
388.0ms	8530×	body	80	valid
173.0ms	1205×	body	320	valid
62.0ms	645×	body	160	valid