Details

sample42.0ms

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

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite15.0ms

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×	`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:

14.0ms

(* (exp re) (cos im))

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

(* (exp re) (cos im))

simplify140.0ms

Counts

23 → 23

Iterations

Useful iterations: 4 (137.0ms)

Iter	Nodes	Cost
0	82	105
1	268	92
2	1050	92
3	4260	92
4	5001	91
done	5001	91

prune45.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize8.0ms

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)))

rewrite74.0ms

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×	`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:

19.0ms	(* (sqrt (exp re)) (cos im))
3.0ms	(sqrt (exp re))
3.0ms	(sqrt (exp re))
46.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* (sqrt (exp re)) (cos im))
12.0ms	(sqrt (exp re))
13.0ms	(sqrt (exp re))
35.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify59.0ms

Counts

95 → 95

Iterations

Useful iterations: 3 (54.0ms)

Iter	Nodes	Cost
0	161	458
1	591	404
2	2177	402
3	5002	388
done	5002	388

prune216.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (fma 1 re (log (cos im))))
2.3b	(log (cos im))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`pow1` `add-exp-log` `log-prod` `exp-prod` `add-log-exp`
2×	`expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`rem-log-exp` `exp-sum` `log-pow` `fma-udef` `rem-exp-log`

Counts

2 → 28

Calls

2 calls:

5.0ms	(exp (fma 1 re (log (cos im))))
2.0ms	(log (cos im))

series122.0ms

Counts

2 → 6

Calls

2 calls:

33.0ms	(exp (fma 1 re (log (cos im))))
89.0ms	(log (cos im))

simplify40.0ms

Counts

34 → 34

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	108	152
1	291	131
2	1035	131
3	5001	131
done	5001	131

prune79.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes58.0ms

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

437.0ms	1530×	body	1280	valid
220.0ms	7003×	body	80	valid
203.0ms	1324×	body	640	valid
61.0ms	624×	body	320	valid
25.0ms	292×	body	160	valid