Details

sample41.0ms

Algorithm

intervals

Results

15.0ms	55×	body	1280	valid
7.0ms	227×	body	80	valid
6.0ms	40×	body	640	valid
2.0ms	19×	body	320	valid
0.0ms	5×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3
done	6	3

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) (cos im))

rewrite14.0ms

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:

13.0ms

(* (exp re) (cos im))

series39.0ms

Counts

1 → 3

Calls

1 calls:

39.0ms

(* (exp re) (cos im))

simplify135.0ms

Counts

21 → 21

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	79	98
1	264	85
2	1020	85
3	4106	85
4	5002	85
done	5002	85

prune35.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize11.0ms

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)))

rewrite70.0ms

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:

19.0ms	(* (sqrt (exp re)) (cos im))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
44.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series114.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* (sqrt (exp re)) (cos im))
13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
37.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify56.0ms

Counts

87 → 87

Iterations

Useful iterations: 3 (52.0ms)

Iter	Nodes	Cost
0	153	424
1	579	370
2	2129	368
3	5001	358
done	5001	358

prune186.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (+ (log (cos im)) re))
2.3b	(log (cos im))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity`
5×	`exp-prod`
4×	`pow1` `add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`add-exp-log` `log-prod`
2×	`log-pow` `add-cbrt-cube` `rem-exp-log` `distribute-lft-out`
1×	`rem-log-exp` `exp-sum` `sum-log`

Counts

2 → 27

Calls

2 calls:

19.0ms	(exp (+ (log (cos im)) re))
2.0ms	(log (cos im))

series123.0ms

Counts

2 → 6

Calls

2 calls:

38.0ms	(exp (+ (log (cos im)) re))
85.0ms	(log (cos im))

simplify135.0ms

Counts

33 → 33

Iterations

Useful iterations: 3 (27.0ms)

Iter	Nodes	Cost
0	91	137
1	240	120
2	799	120
3	3488	118
4	5001	118
done	5001	118

prune58.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes51.0ms

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	9	7
1	9	7
done	9	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

446.0ms	1530×	body	1280	valid
218.0ms	7003×	body	80	valid
207.0ms	1324×	body	640	valid
63.0ms	624×	body	320	valid
20.0ms	292×	body	160	valid