Details

sample44.0ms

Algorithm

intervals

Results

16.0ms	51×	body	1280	valid
8.0ms	45×	body	640	valid
8.0ms	218×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	10×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

7.0ms

(* (exp re) (sin im))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (exp re) (sin im))

simplify3.1s

Counts

23 → 23

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	244	148
3	485	146
4	784	146
5	1619	146
6	4457	146
done	5001	146

prune57.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

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:

8.0ms	(* (sqrt (exp re)) (sin im))
21.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
1.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series116.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* (sqrt (exp re)) (sin im))
44.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify2.9s

Counts

95 → 95

Iterations

Useful iterations: 4 (919.0ms)

Iter	Nodes	Cost
0	87	783
1	184	622
2	500	569
3	1131	556
4	1690	551
5	3725	551
done	5000	551

prune207.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:

6.0ms

(* (exp re) (sin im))

series41.0ms

Counts

1 → 3

Calls

1 calls:

41.0ms

(* (exp re) (sin im))

simplify3.3s

Counts

23 → 23

Iterations

Useful iterations: 3 (97.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	244	148
3	485	146
4	784	146
5	1619	146
6	4457	146
done	5001	146

prune57.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (expm1 (log1p (sqrt (exp re)))) (sin im))
0.0b	(* (sqrt (exp re)) (* (expm1 (log1p (sqrt (exp re)))) (sin im)))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
13×	`pow1`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`add-exp-log` `add-cbrt-cube`
9×	`associate-l` `sqrt-prod`
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`
1×	`unswap-sqr`

Counts

4 → 79

Calls

4 calls:

4.0ms	(* (expm1 (log1p (sqrt (exp re)))) (sin im))
12.0ms	(* (sqrt (exp re)) (* (expm1 (log1p (sqrt (exp re)))) (sin im)))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))

series224.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (expm1 (log1p (sqrt (exp re)))) (sin im))
108.0ms	(* (sqrt (exp re)) (* (expm1 (log1p (sqrt (exp re)))) (sin im)))
12.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify3.1s

Counts

91 → 91

Iterations

Useful iterations: 4 (954.0ms)

Iter	Nodes	Cost
0	93	855
1	195	586
2	515	529
3	1174	520
4	1745	515
5	3891	515
done	5000	515

prune233.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes93.0ms

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: 1 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	10	5
done	10	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

474.0ms	1556×	body	1280	valid
258.0ms	6993×	body	80	valid
216.0ms	1251×	body	640	valid
66.0ms	594×	body	320	valid
24.0ms	309×	body	160	valid