Details

sample35.0ms

Algorithm

intervals

Results

10.0ms	38×	body	1280	valid
7.0ms	229×	body	80	valid
5.0ms	29×	body	640	valid
4.0ms	21×	body	320	valid
0.0ms	6×	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

localize5.0ms

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))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (exp re) (cos im))

simplify138.0ms

Algorithm

egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 4 (136.0ms)

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

prune46.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize7.0ms

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))

rewrite35.0ms

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:

1.0ms	(sqrt (exp re))
1.0ms	(sqrt (exp re))
22.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
8.0ms	(* (sqrt (exp re)) (cos im))

series97.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(sqrt (exp re))
11.0ms	(sqrt (exp re))
35.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
39.0ms	(* (sqrt (exp re)) (cos im))

simplify55.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	161	458
1	591	404
2	2178	402
3	5001	388

prune201.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.1b	(log1p (expm1 (* (exp re) (cos im))))
0.5b	(expm1 (* (exp re) (cos im)))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

5.0ms	(* (exp re) (cos im))
0.0ms	(log1p (expm1 (* (exp re) (cos im))))
0.0ms	(expm1 (* (exp re) (cos im)))

series150.0ms

Counts

3 → 9

Calls

3 calls:

32.0ms	(* (exp re) (cos im))
64.0ms	(log1p (expm1 (* (exp re) (cos im))))
54.0ms	(expm1 (* (exp re) (cos im)))

simplify42.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	130	241
1	400	211
2	1501	209
3	5001	209

prune116.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes77.0ms

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

sample1.1s

Algorithm

intervals

Results

429.0ms	1508×	body	1280	valid
222.0ms	6942×	body	80	valid
181.0ms	1142×	body	640	valid
70.0ms	647×	body	320	valid
30.0ms	379×	body	160	valid