Details

sample42.0ms

Algorithm

intervals

Results

14.0ms	48×	body	1280	valid
8.0ms	222×	body	80	valid
7.0ms	42×	body	640	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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

14.0ms

(* (exp re) (sin im))

series44.0ms

Counts

1 → 3

Calls

1 calls:

44.0ms

(* (exp re) (sin im))

simplify2.0s

Counts

21 → 21

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	40	161
1	87	157
2	228	136
3	384	136
4	553	136
5	934	136
6	2249	136
done	5000	136

prune44.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite74.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
48.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
18.0ms	(* (sqrt (exp re)) (sin im))

series117.0ms

Counts

4 → 12

Calls

4 calls:

12.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
39.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
52.0ms	(* (sqrt (exp re)) (sin im))

simplify3.5s

Counts

87 → 87

Iterations

Useful iterations: 3 (367.0ms)

Iter	Nodes	Cost
0	81	731
1	171	586
2	483	526
3	906	517
4	1253	517
5	2712	517
done	5001	517

prune186.0ms

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×	`associate-r` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 81

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))

series120.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
44.0ms	(* (sqrt (sqrt (exp re))) (* (sqrt (sqrt (exp re))) (* (sqrt (exp re)) (sin im))))
51.0ms	(* (sqrt (exp re)) (sin im))

simplify5.3s

Counts

93 → 93

Iterations

Useful iterations: 4 (4.3s)

Iter	Nodes	Cost
0	99	1025
1	222	806
2	705	596
3	2107	590
4	3798	586
done	5001	586

prune213.0ms

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)))

rewrite70.0ms

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×	`associate-l` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 69

Calls

4 calls:

17.0ms	(* (exp re) (sqrt (sin im)))
2.0ms	(sqrt (sin im))
2.0ms	(sqrt (sin im))
48.0ms	(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

series133.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(* (exp re) (sqrt (sin im)))
17.0ms	(sqrt (sin im))
23.0ms	(sqrt (sin im))
42.0ms	(* (* (exp re) (sqrt (sin im))) (sqrt (sin im)))

simplify2.8s

Counts

81 → 81

Iterations

Useful iterations: 4 (1.3s)

Iter	Nodes	Cost
0	86	731
1	217	577
2	620	509
3	1263	501
4	2400	498
done	5001	498

prune151.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes96.0ms

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

450.0ms	1524×	body	1280	valid
240.0ms	6867×	body	80	valid
209.0ms	1279×	body	640	valid
66.0ms	633×	body	320	valid
28.0ms	310×	body	160	valid