Details

sample147.0ms

Algorithm

intervals

Results

66.0ms	110×	body	1280	valid
25.0ms	62×	body	640	valid
24.0ms	293×	body	80	valid
9.0ms	36×	body	320	valid
3.0ms	18×	body	160	valid

simplify2.5s

Counts

1 → 1

Iterations

Iter	Nodes
done	3212
10	3212
9	3063
8	2876
7	2355
6	1348
5	617
4	210
3	86
2	57
1	23
0	10

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 2 expressions with local error:

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

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-exp-log`
4×	`associate-r` `add-log-exp`
3×	`add-sqr-sqrt` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
2×	`flip3-+` `associate-*r/` `flip-+` `insert-posit16` `distribute-lft-out`
1×	`distribute-rgt-in` `+-commutative` `sum-log` `distribute-lft-in` `associate-l` `*-commutative`

Counts

2 → 37

Calls

2 calls:

65.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
18.0ms	(+ (exp (- im)) (exp im))

series110.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(* (* 0.5 (cos re)) (+ (exp (- im)) (exp im)))
37.0ms	(+ (exp (- im)) (exp im))

simplify1.3s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1054
1	259
0	87

prune162.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube`
5×	`pow1` `add-exp-log` `add-log-exp`
3×	`associate-/r` `associate-r` `associate-l` `insert-posit16` `associate-/l`
1×	`cbrt-undiv` `+-commutative` `clear-num` `sum-log` `frac-2neg` `flip3-+` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `flip-+` `div-inv` `unswap-sqr`

Counts

3 → 59

Calls

3 calls:

19.0ms	(* (exp im) (cos re))
23.0ms	(+ (* (exp im) (cos re)) (/ (cos re) (exp im)))
9.0ms	(/ (cos re) (exp im))

series154.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (exp im) (cos re))
81.0ms	(+ (* (exp im) (cos re)) (/ (cos re) (exp im)))
38.0ms	(/ (cos re) (exp im))

simplify1.9s

Counts

68 → 68

Iterations

Iter	Nodes
done	5002
3	2989
2	801
1	238
0	99

prune238.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))
0.0b	(sqrt (exp im))
0.0b	(sqrt (exp im))
0.0b	(/ (cos re) (sqrt (exp im)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

276×	`times-frac`
162×	`add-sqr-sqrt`
160×	`*-un-lft-identity` `add-cube-cbrt`
150×	`sqrt-prod`
25×	`associate-/l*`
12×	`associate-/r*`
11×	`add-cbrt-cube` `add-exp-log`
9×	`div-inv`
8×	`sqrt-pow1`
6×	`pow1` `exp-prod`
4×	`cbrt-undiv` `div-exp` `insert-posit16` `add-log-exp`
2×	`rem-sqrt-square` `clear-num` `frac-2neg` `pow1/2`
1×	`associate-/l/`

Counts

4 → 250

Calls

4 calls:

20.0ms	(/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))
2.0ms	(sqrt (exp im))
2.0ms	(sqrt (exp im))
10.0ms	(/ (cos re) (sqrt (exp im)))

series139.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(/ (/ (cos re) (sqrt (exp im))) (sqrt (exp im)))
15.0ms	(sqrt (exp im))
21.0ms	(sqrt (exp im))
66.0ms	(/ (cos re) (sqrt (exp im)))

simplify2.0s

Counts

262 → 262

Iterations

Iter	Nodes
done	5000
3	4990
2	1289
1	587
0	270

prune982.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes185.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	13
1	13
0	10

end0.0ms

sample5.6s

Algorithm

intervals

Results

2.5s	3056×	body	1280	valid
1.1s	2427×	body	640	valid
770.0ms	8623×	body	80	valid
763.0ms	1255×	body	320	valid
104.0ms	653×	body	160	valid