Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	51×	body	1280	valid
7.0ms	218×	body	80	valid
7.0ms	45×	body	640	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

localize5.0ms

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))

simplify2.4s

Counts

23 → 23

Iterations

Useful iterations: 3 (106.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	252	148
3	732	146
4	3103	146
done	5000	146

prune53.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

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))

rewrite36.0ms

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))
23.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))

series108.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* (sqrt (exp re)) (sin im))
39.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (sin im)))
11.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify781.0ms

Counts

95 → 95

Iterations

Useful iterations: 3 (265.0ms)

Iter	Nodes	Cost
0	87	783
1	184	622
2	522	565
3	1540	556
done	5000	556

prune216.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (sin im))

simplify2.3s

Counts

23 → 23

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	42	173
1	91	167
2	252	148
3	732	146
4	3103	146
done	5000	146

prune53.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

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))

rewrite19.0ms

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:

3.0ms	(* (expm1 (log1p (sqrt (exp re)))) (sin im))
11.0ms	(* (sqrt (exp re)) (* (expm1 (log1p (sqrt (exp re)))) (sin im)))
1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))

series208.0ms

Counts

4 → 12

Calls

4 calls:

86.0ms	(* (expm1 (log1p (sqrt (exp re)))) (sin im))
99.0ms	(* (sqrt (exp re)) (* (expm1 (log1p (sqrt (exp re)))) (sin im)))
11.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify1.1s

Counts

91 → 91

Iterations

Useful iterations: 3 (266.0ms)

Iter	Nodes	Cost
0	93	855
1	195	586
2	536	529
3	1539	520
done	5000	520

prune230.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes88.0ms

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

sample1.4s

Algorithm

intervals

Results

455.0ms	1556×	body	1280	valid
450.0ms	6993×	body	80	valid
207.0ms	1251×	body	640	valid
65.0ms	594×	body	320	valid
24.0ms	309×	body	160	valid