Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	48×	body	1280	valid
10.0ms	42×	body	640	valid
7.0ms	222×	body	80	valid
3.0ms	24×	body	320	valid
0.0ms	6×	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

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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:

15.0ms

(* (exp re) (sin im))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (exp re) (sin im))

simplify2.1s

Counts

23 → 23

Iterations

Useful iterations: 3 (120.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	238	148
3	409	146
4	619	146
5	1014	146
6	2343	146
done	5000	146

prune47.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
0.0b	(* (sqrt (exp re)) (sin im))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
12×	`associate-l`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 83

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
47.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
20.0ms	(* (sqrt (exp re)) (sin im))

series120.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
44.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
50.0ms	(* (sqrt (exp re)) (sin im))

simplify3.3s

Counts

95 → 95

Iterations

Useful iterations: 4 (1.0s)

Iter	Nodes	Cost
0	87	783
1	182	622
2	515	565
3	1048	556
4	1453	551
5	2930	551
done	5001	551

prune209.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (exp re))
0.0b	(sqrt (exp re))
0.0b	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))
0.0b	(* (sqrt (exp re)) (sin im))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
19×	`sqrt-prod`
17×	`pow1`
15×	`add-exp-log` `associate-l` `add-cbrt-cube`
14×	`add-cube-cbrt` `*-un-lft-identity`
8×	`sqrt-pow1`
7×	`pow-prod-down` `prod-exp` `cbrt-unprod`
6×	`exp-prod`
4×	`expm1-log1p-u` `associate-r` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 89

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
142.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))
18.0ms	(* (sqrt (exp re)) (sin im))

series116.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
42.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))
49.0ms	(* (sqrt (exp re)) (sin im))

simplify5.5s

Counts

101 → 101

Iterations

Useful iterations: 4 (4.5s)

Iter	Nodes	Cost
0	105	1089
1	233	852
2	735	635
3	2480	629
4	4244	620
done	5001	620

prune252.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (exp re) (sqrt (sin im)))
0.0b	(sqrt (sin im))
0.0b	(sqrt (sin im))
0.2b	(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`pow1` `sqrt-prod`
12×	`associate-r`
11×	`add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
9×	`add-exp-log`
4×	`expm1-log1p-u` `associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 77

Calls

4 calls:

17.0ms	(* (exp re) (sqrt (sin im)))
2.0ms	(sqrt (sin im))
2.0ms	(sqrt (sin im))
49.0ms	(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(* (exp re) (sqrt (sin im)))
17.0ms	(sqrt (sin im))
18.0ms	(sqrt (sin im))
43.0ms	(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

simplify3.6s

Counts

89 → 89

Iterations

Useful iterations: done (3.6s)

Iter	Nodes	Cost
0	92	783
1	229	617
2	665	550
3	1482	541
4	2935	538
done	5001	536

prune177.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes100.0ms

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

sample1.3s

Algorithm

intervals

Results

464.0ms	1524×	body	1280	valid
230.0ms	6867×	body	80	valid
205.0ms	1279×	body	640	valid
70.0ms	633×	body	320	valid
23.0ms	310×	body	160	valid