Details

sample61.0ms

Algorithm

intervals

Results

20.0ms	43×	body	1280	valid
11.0ms	208×	body	80	valid
9.0ms	37×	body	640	valid
3.0ms	17×	body	320	valid
2.0ms	15×	body	160	valid

simplify3.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	6
1	6
0	5

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

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:

11.0ms

(* (exp re) (cos im))

series84.0ms

Counts

1 → 3

Calls

1 calls:

84.0ms

(* (exp re) (cos im))

simplify2.2s

Counts

23 → 23

Iterations

Iter	Nodes
done	5001
3	2739
2	359
1	88
0	40

prune121.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt`
13×	`pow1` `*-un-lft-identity` `add-cube-cbrt` `sqrt-prod`
11×	`add-cbrt-cube` `add-exp-log`
9×	`associate-l`
8×	`sqrt-pow1`
7×	`associate-r`
6×	`exp-prod`
4×	`expm1-log1p-u` `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))
46.0ms	(* (sqrt (exp re)) (* (cos im) (sqrt (exp re))))
16.0ms	(* (cos im) (sqrt (exp re)))

series128.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(sqrt (exp re))
20.0ms	(sqrt (exp re))
46.0ms	(* (sqrt (exp re)) (* (cos im) (sqrt (exp re))))
43.0ms	(* (cos im) (sqrt (exp re)))

simplify2.2s

Counts

95 → 95

Iterations

Iter	Nodes
done	5003
3	3687
2	644
1	182
0	85

prune507.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize52.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

20.0ms	(* (* (fabs (cbrt (exp re))) (cos im)) (sqrt (cbrt (exp re))))
9.0ms	(* (fabs (cbrt (exp re))) (cos im))
3.0ms	(cbrt (exp re))
3.0ms	(cbrt (exp re))

series336.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(* (* (fabs (cbrt (exp re))) (cos im)) (sqrt (cbrt (exp re))))
53.0ms	(* (fabs (cbrt (exp re))) (cos im))
94.0ms	(cbrt (exp re))
98.0ms	(cbrt (exp re))

simplify852.0ms

Counts

84 → 84

Iterations

Iter	Nodes
done	5000
2	1235
1	254
0	112

prune476.0ms

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)))

rewrite12.0ms

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)))

series217.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(* (cos im) (exp re))
98.0ms	(expm1 (log1p (* (cos im) (exp re))))
85.0ms	(log1p (* (cos im) (exp re)))

simplify2.0s

Counts

51 → 51

Iterations

Iter	Nodes
done	5000
3	2599
2	432
1	131
0	66

prune224.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes134.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample2.5s

Algorithm

intervals

Results

1.1s	1500×	body	1280	valid
444.0ms	6950×	body	80	valid
439.0ms	1308×	body	640	valid
147.0ms	598×	body	320	valid
41.0ms	351×	body	160	valid