Details

sample81.0ms

Algorithm

intervals

Results

24.0ms	43×	body	1280	valid
20.0ms	37×	body	640	valid
13.0ms	208×	body	80	valid
3.0ms	17×	body	320	valid
2.0ms	15×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	172
1	6	172
done	6	172

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 1 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt`
3×	`pow1` `-un-lft-identity` `add-cbrt-cube` `associate-r` `associate-l*` `add-cube-cbrt`
2×	`add-exp-log`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

16.0ms

(* (exp re) (cos im))

series48.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* (exp re) (cos im))

simplify1.9s

Counts

21 → 21

Iterations

Useful iterations: 3 (470.0ms)

Iter	Nodes	Cost
0	38	4814
1	85	4602
2	355	4532
3	2451	4452
done	5000	4452

prune111.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize23.0ms

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

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
12×	`associate-l`
11×	`add-cbrt-cube` `add-exp-log`
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:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
38.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
21.0ms	(* (sqrt (exp re)) (cos im))

series109.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
38.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
45.0ms	(* (sqrt (exp re)) (cos im))

simplify924.0ms

Counts

87 → 87

Iterations

Useful iterations: done (917.0ms)

Iter	Nodes	Cost
0	75	20208
1	162	18751
2	693	17431
done	5001	17101

prune366.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (* (sqrt (exp re)) (cos im))) (cbrt (* (sqrt (exp re)) (cos im))))
0.2b	(cbrt (* (sqrt (exp re)) (cos im)))
0.2b	(cbrt (* (sqrt (exp re)) (cos im)))
0.2b	(cbrt (* (sqrt (exp re)) (cos im)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`*-un-lft-identity` `add-cube-cbrt`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`add-cbrt-cube` `swap-sqr` `associate-r` `associate-l` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

18.0ms	(* (cbrt (* (sqrt (exp re)) (cos im))) (cbrt (* (sqrt (exp re)) (cos im))))
12.0ms	(cbrt (* (sqrt (exp re)) (cos im)))
8.0ms	(cbrt (* (sqrt (exp re)) (cos im)))
12.0ms	(cbrt (* (sqrt (exp re)) (cos im)))

series594.0ms

Counts

4 → 12

Calls

4 calls:

134.0ms	(* (cbrt (* (sqrt (exp re)) (cos im))) (cbrt (* (sqrt (exp re)) (cos im))))
146.0ms	(cbrt (* (sqrt (exp re)) (cos im)))
169.0ms	(cbrt (* (sqrt (exp re)) (cos im)))
145.0ms	(cbrt (* (sqrt (exp re)) (cos im)))

simplify8.5s

Counts

70 → 70

Iterations

Useful iterations: 3 (1.2s)

Iter	Nodes	Cost
0	62	24363
1	145	21606
2	558	21526
3	4509	20646
done	5000	20646

prune318.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b	(+ (log (cos im)) re)
0.0b	(exp (+ (log (cos im)) re))
1.1b	(log (cos im))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

12×	`*-un-lft-identity`
6×	`add-sqr-sqrt` `pow1` `log-prod` `add-cube-cbrt` `add-log-exp`
5×	`exp-prod`
4×	`add-exp-log` `distribute-lft-out`
3×	`associate-+l+` `add-cbrt-cube` `log-pow`
2×	`sum-log` `rem-exp-log`
1×	`+-commutative` `flip3-+` `rem-log-exp` `exp-sum` `flip-+`

Counts

3 → 43

Calls

3 calls:

12.0ms	(+ (log (cos im)) re)
28.0ms	(exp (+ (log (cos im)) re))
3.0ms	(log (cos im))

series258.0ms

Counts

3 → 9

Calls

3 calls:

66.0ms	(+ (log (cos im)) re)
51.0ms	(exp (+ (log (cos im)) re))
141.0ms	(log (cos im))

simplify1.8s

Counts

52 → 52

Iterations

Useful iterations: 2 (96.0ms)

Iter	Nodes	Cost
0	69	12678
1	147	10363
2	435	10192
3	2815	10192
done	5001	10192

prune226.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes215.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	252
1	9	252
done	9	252

end0.0ms

sample2.8s

Algorithm

intervals

Results

1.0s	6950×	body	80	valid
771.0ms	1500×	body	1280	valid
476.0ms	1308×	body	640	valid
160.0ms	598×	body	320	valid
49.0ms	351×	body	160	valid