Details

sample121.0ms

Algorithm

intervals

Results

42.0ms	100×	body	1280	valid
24.0ms	90×	body	640	valid
19.0ms	283×	body	80	valid
7.0ms	37×	body	320	valid
6.0ms	17×	body	160	valid

simplify1.9s

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	12
1	26	12
2	60	12
3	98	12
4	157	12
5	234	12
6	491	12
7	656	12
8	1003	12
9	1869	12
10	2991	12
11	4526	12
done	5000	12

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite21.0ms

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:

8.0ms	(+ (exp (- 0.0 im)) (exp im))
13.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

series20.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(+ (exp (- 0.0 im)) (exp im))
16.0ms	(* (* 0.5 (sin re)) (+ (exp (- 0.0 im)) (exp im)))

simplify1.5s

Counts

41 → 41

Iterations

Useful iterations: 3 (470.0ms)

Iter	Nodes	Cost
0	93	600
1	273	584
2	1048	492
3	4621	487
done	5000	487

prune66.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite261.0ms

Algorithm

rewrite-expression-head

Rules

13×	`pow1` `add-cbrt-cube`
9×	`add-exp-log`
8×	`associate-l`
6×	`pow-prod-down` `prod-exp` `cbrt-unprod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
2×	`associate-r` `exp-sum` `*-commutative`
1×	`+-commutative` `sub-neg` `distribute-rgt-out` `flip3-+` `exp-diff` `associate-*l/` `sum-log` `flip-+`

Counts

3 → 51

Calls

3 calls:

7.0ms	(* (exp im) (* 0.5 (sin re)))
12.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
240.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

series45.0ms

Counts

3 → 9

Calls

3 calls:

11.0ms	(* (exp im) (* 0.5 (sin re)))
22.0ms	(+ (* (exp (- 0.0 im)) (* 0.5 (sin re))) (* (exp im) (* 0.5 (sin re))))
12.0ms	(* (exp (- 0.0 im)) (* 0.5 (sin re)))

simplify463.0ms

Counts

60 → 60

Iterations

Useful iterations: done (462.0ms)

Iter	Nodes	Cost
0	112	882
1	325	784
2	1196	650
done	5000	641

prune75.0ms

Filtered

39 candidates to 60 candidates (-53.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	60	0	60
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	60	2	62

Merged error: 0b

Counts

62 → 2

regimes233.0ms

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	12	17
1	16	17
done	16	17

end0.0ms

sample3.5s

Algorithm

intervals

Results

1.3s	3056×	body	1280	valid
695.0ms	2561×	body	640	valid
562.0ms	8495×	body	80	valid
239.0ms	1265×	body	320	valid
86.0ms	648×	body	160	valid

Details

sample121.0ms

simplify1.9s

prune3.0ms

localize11.0ms

rewrite21.0ms

series20.0ms

simplify1.5s

prune66.0ms

localize12.0ms

rewrite261.0ms

series45.0ms

simplify463.0ms

prune75.0ms

regimes233.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.5s

Profiling