Details

sample45.0ms

Algorithm

intervals

Results

14.0ms	42×	body	1280	valid
9.0ms	233×	body	80	valid
6.0ms	32×	body	640	valid
4.0ms	27×	body	320	valid
2.0ms	17×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite6.0ms

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:

6.0ms

(* (exp re) (cos im))

series34.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(* (exp re) (cos im))

simplify142.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 4 (140.0ms)

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

prune47.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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×	`expm1-log1p-u` `log-pow` `add-cbrt-cube` `log1p-expm1-u` `rem-exp-log` `distribute-lft-out`
1×	`rem-log-exp` `exp-sum` `sum-log`

Counts

2 → 31

Calls

2 calls:

10.0ms	(exp (+ (log (cos im)) re))
1.0ms	(log (cos im))

series121.0ms

Counts

2 → 6

Calls

2 calls:

36.0ms	(exp (+ (log (cos im)) re))
85.0ms	(log (cos im))

simplify139.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 3 (29.0ms)

Iter	Nodes	Cost
0	97	153
1	252	135
2	860	135
3	3778	132
4	5001	132

prune75.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp (cos im))
0.2b	(log (pow (exp (cos im)) (exp re)))

rewrite4.0ms

Algorithm

rewrite-expression-head

Rules

7×	`log-prod`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
3×	`add-exp-log` `unpow-prod-down` `exp-prod` `rem-log-exp` `add-log-exp`
2×	`pow1` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u`
1×	`pow-to-exp` `pow-exp` `log-pow` `rem-exp-log` `sqr-pow`

Counts

2 → 33

Calls

2 calls:

1.0ms	(exp (cos im))
2.0ms	(log (pow (exp (cos im)) (exp re)))

series103.0ms

Counts

2 → 6

Calls

2 calls:

35.0ms	(exp (cos im))
68.0ms	(log (pow (exp (cos im)) (exp re)))

simplify40.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 3 (37.0ms)

Iter	Nodes	Cost
0	126	213
1	368	183
2	1129	183
3	5001	174

prune91.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (log (exp (cos im))) (exp re))
0.0b	(exp (cos im))
0.3b	(log (exp (cos im)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 54

Calls

3 calls:

7.0ms	(* (log (exp (cos im))) (exp re))
1.0ms	(exp (cos im))
2.0ms	(log (exp (cos im)))

series66.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(* (log (exp (cos im))) (exp re))
30.0ms	(exp (cos im))
6.0ms	(log (exp (cos im)))

simplify51.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 3 (47.0ms)

Iter	Nodes	Cost
0	159	279
1	456	237
2	1774	233
3	5002	231

prune139.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes90.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	3
1	6	3

end0.0ms

sample1.3s

Algorithm

intervals

Results

509.0ms	1535×	body	1280	valid
289.0ms	6902×	body	80	valid
244.0ms	1267×	body	640	valid
74.0ms	586×	body	320	valid
28.0ms	313×	body	160	valid