Details

sample113.0ms

Algorithm

intervals

Results

43.0ms	223×	body	80	valid
25.0ms	38×	body	1280	valid
13.0ms	41×	body	640	valid
4.0ms	22×	body	320	valid
2.0ms	16×	body	160	valid

simplify19.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 1 expressions with local error:

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

rewrite38.0ms

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:

37.0ms

(* (exp re) (cos im))

series450.0ms

Counts

1 → 3

Calls

1 calls:

446.0ms

(* (exp re) (cos im))

simplify8.3s

Counts

21 → 21

Iterations

Useful iterations: 3 (1.7s)

Iter	Nodes	Cost
0	38	157
1	85	154
2	357	136
3	2531	134
done	5000	134

prune264.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

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

rewrite341.0ms

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:

36.0ms	(* (sqrt (exp re)) (cos im))
6.0ms	(sqrt (exp re))
8.0ms	(sqrt (exp re))
249.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series552.0ms

Counts

4 → 12

Calls

4 calls:

129.0ms	(* (sqrt (exp re)) (cos im))
132.0ms	(sqrt (exp re))
84.0ms	(sqrt (exp re))
178.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify3.5s

Counts

87 → 87

Iterations

Useful iterations: done (3.4s)

Iter	Nodes	Cost
0	75	723
1	161	668
2	691	522
done	5000	513

prune835.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes257.0ms

Accuracy

0% (0.0b remaining)

Error of 0.0b against oracle of 0.0b and baseline of 0.0b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	5
1	6	5
done	6	5

end2.0ms

sample19.0s

Algorithm

intervals

Results

10.1s	6996×	body	80	valid
2.7s	1482×	body	1280	valid
2.2s	1244×	body	640	valid
2.0s	575×	body	320	valid
1.4s	316×	body	160	valid