Details

sample265.0ms

Algorithm

intervals

Results

79.0ms	304×	body	80	valid
76.0ms	90×	body	1280	valid
50.0ms	97×	body	640	valid
17.0ms	49×	body	320	valid
4.0ms	18×	body	160	valid

simplify6.7s

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	23	11
2	57	11
3	93	11
4	470	11
5	4175	11
done	5001	11

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite173.0ms

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:

38.0ms	(+ (exp (- im)) (exp im))
133.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

series651.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(+ (exp (- im)) (exp im))
604.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))

simplify1.9s

Counts

41 → 41

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	87	548
1	272	530
2	1828	443
done	5000	441

prune272.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (exp (- im)) (exp im))
0.0b	(+ (exp (- im)) (exp im))
0.2b	(* (sqrt (+ (exp (- im)) (exp im))) (* 0.5 (cos re)))
0.7b	(* (* (sqrt (+ (exp (- im)) (exp im))) (* 0.5 (cos re))) (sqrt (+ (exp (- im)) (exp im))))

rewrite561.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-exp-log` `add-cbrt-cube`
16×	`*-un-lft-identity`
14×	`sqrt-div`
10×	`associate-*l/`
9×	`flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `associate-l` `sqrt-prod` `add-log-exp`
4×	`frac-times` `distribute-lft-out`
2×	`+-commutative` `associate-r/` `sum-log` `-commutative`

Counts

4 → 81

Calls

4 calls:

38.0ms	(+ (exp (- im)) (exp im))
39.0ms	(+ (exp (- im)) (exp im))
155.0ms	(* (sqrt (+ (exp (- im)) (exp im))) (* 0.5 (cos re)))
322.0ms	(* (* (sqrt (+ (exp (- im)) (exp im))) (* 0.5 (cos re))) (sqrt (+ (exp (- im)) (exp im))))

series394.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(+ (exp (- im)) (exp im))
47.0ms	(+ (exp (- im)) (exp im))
177.0ms	(* (sqrt (+ (exp (- im)) (exp im))) (* 0.5 (cos re)))
124.0ms	(* (* (sqrt (+ (exp (- im)) (exp im))) (* 0.5 (cos re))) (sqrt (+ (exp (- im)) (exp im))))

simplify2.3s

Counts

93 → 93

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	143	1812
1	376	1621
2	2051	1263
done	5000	1232

prune654.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes370.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	11
1	13	11
done	13	11

end0.0ms

sample8.3s

Algorithm

intervals

Results

3.1s	3045×	body	1280	valid
2.0s	2424×	body	640	valid
1.7s	8470×	body	80	valid
466.0ms	1229×	body	320	valid
205.0ms	622×	body	160	valid