Details

sample57.0ms

Algorithm

intervals

Results

20.0ms	43×	body	1280	valid
11.0ms	208×	body	80	valid
10.0ms	37×	body	640	valid
3.0ms	17×	body	320	valid
1.0ms	15×	body	160	valid

simplify2.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 1 expressions with local error:

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

rewrite23.0ms

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×	`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:

22.0ms

(* (exp re) (cos im))

series47.0ms

Counts

1 → 3

Calls

1 calls:

47.0ms

(* (exp re) (cos im))

simplify3.0s

Counts

23 → 23

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	40	5318
1	88	5081
2	359	5011
3	2739	4931
done	5001	4906

prune145.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize30.0ms

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))

rewrite70.0ms

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×	`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:

2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
49.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
14.0ms	(* (sqrt (exp re)) (cos im))

series128.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(sqrt (exp re))
14.0ms	(sqrt (exp re))
41.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
59.0ms	(* (sqrt (exp re)) (cos im))

simplify1.1s

Counts

95 → 95

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	81	22220
1	170	20588
2	734	19108
done	5000	18898

prune526.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite131.0ms

Algorithm

rewrite-expression-head

Rules

18×	`pow1` `add-cbrt-cube` `add-exp-log`
13×	`add-sqr-sqrt`
9×	`*-un-lft-identity` `pow-prod-down` `prod-exp` `add-cube-cbrt` `cbrt-unprod`
7×	`associate-l`
6×	`cbrt-prod`
4×	`expm1-log1p-u` `associate-r` `sqrt-prod` `log1p-expm1-u` `add-log-exp`
2×	`pow1/3` `*-commutative` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

24.0ms	(* (sqrt (exp re)) (cos im))
97.0ms	(* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))
3.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))

series423.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(* (sqrt (exp re)) (cos im))
130.0ms	(* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (* (sqrt (exp re)) (cos im)))
123.0ms	(cbrt (exp re))
110.0ms	(cbrt (exp re))

simplify1.8s

Counts

86 → 86

Iterations

Useful iterations: done (1.8s)

Iter	Nodes	Cost
0	111	30405
1	270	27520
2	1198	27187
done	5001	26737

prune405.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (cos im) (exp re))
0.1b	(expm1 (log1p (* (cos im) (exp re))))
0.2b	(log1p (* (cos im) (exp re)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-sqr-sqrt`
5×	`pow1` `*-un-lft-identity` `add-cbrt-cube` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-exp-log`
3×	`associate-r` `associate-l` `log1p-expm1-u` `add-log-exp`
1×	`log1p-udef` `expm1-log1p` `pow-prod-down` `prod-exp` `log1p-expm1` `*-commutative` `cbrt-unprod` `expm1-udef` `unswap-sqr`

Counts

3 → 42

Calls

3 calls:

10.0ms	(* (cos im) (exp re))
0.0ms	(expm1 (log1p (* (cos im) (exp re))))
0.0ms	(log1p (* (cos im) (exp re)))

series179.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(* (cos im) (exp re))
74.0ms	(expm1 (log1p (* (cos im) (exp re))))
60.0ms	(log1p (* (cos im) (exp re)))

simplify2.0s

Counts

51 → 51

Iterations

Useful iterations: 3 (441.0ms)

Iter	Nodes	Cost
0	66	14210
1	131	12007
2	432	11773
3	2599	11338
done	5000	11338

prune236.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	452
1	14	452
done	14	452

end0.0ms

sample2.3s

Algorithm

intervals

Results

937.0ms	1500×	body	1280	valid
493.0ms	6950×	body	80	valid
408.0ms	1308×	body	640	valid
167.0ms	598×	body	320	valid
68.0ms	351×	body	160	valid