Details

sample43.0ms

Algorithm

intervals

Results

16.0ms	57×	body	1280	valid
7.0ms	223×	body	80	valid
5.0ms	34×	body	640	valid
2.0ms	22×	body	320	valid
1.0ms	11×	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

Filtered

1 candidates to 0 candidates (0.0%)

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))

rewrite5.0ms

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×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 18

Calls

1 calls:

5.0ms

(* (exp re) (cos im))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (cos im))

simplify142.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	79	98
1	264	85
2	1020	85
3	4106	85
4	5002	85

prune41.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

3 alts after pruning (3 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)))

rewrite22.0ms

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×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rem-sqrt-square` `pow1/2` `*-commutative` `unswap-sqr`

Counts

4 → 75

Calls

4 calls:

6.0ms	(* (sqrt (exp re)) (cos im))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
10.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series101.0ms

Counts

4 → 12

Calls

4 calls:

44.0ms	(* (sqrt (exp re)) (cos im))
11.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
34.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify55.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 3 (50.0ms)

Iter	Nodes	Cost
0	153	424
1	579	370
2	2129	368
3	5001	358

prune183.0ms

Filtered

87 candidates to 59 candidates (67.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (cos im))
0.2b	(cbrt (pow (* (exp re) (cos im)) 3))
0.3b	(pow (* (exp re) (cos im)) 3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
8×	`pow1` `cbrt-prod` `add-cbrt-cube`
7×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log`
3×	`pow-unpow` `associate-r` `associate-l` `add-log-exp`
2×	`cube-mult` `unpow-prod-down` `pow-pow` `unpow3` `cube-prod` `pow-prod-down` `pow-exp` `prod-exp` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3` `*-commutative` `rem-cbrt-cube` `unswap-sqr`

Counts

3 → 57

Calls

3 calls:

5.0ms	(* (exp re) (cos im))
2.0ms	(cbrt (pow (* (exp re) (cos im)) 3))
5.0ms	(pow (* (exp re) (cos im)) 3)

series121.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (exp re) (cos im))
33.0ms	(cbrt (pow (* (exp re) (cos im)) 3))
53.0ms	(pow (* (exp re) (cos im)) 3)

simplify242.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (26.0ms)

Iter	Nodes	Cost
0	151	303
1	648	288
2	4785	287
3	5001	287

prune133.0ms

Filtered

66 candidates to 43 candidates (65.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos im)) (cbrt (cos im)))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))
0.3b	(cbrt (cos im))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`pow1/3`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 73

Calls

4 calls:

6.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
1.0ms	(cbrt (cos im))
1.0ms	(cbrt (cos im))
2.0ms	(cbrt (cos im))

series465.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
98.0ms	(cbrt (cos im))
101.0ms	(cbrt (cos im))
100.0ms	(cbrt (cos im))

simplify105.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (100.0ms)

Iter	Nodes	Cost
0	122	441
1	481	389
2	3180	357
3	5001	351

prune209.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes88.0ms

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	9	7
1	9	7

end0.0ms

sample1.2s

Algorithm

intervals

Results

438.0ms	1466×	body	1280	valid
256.0ms	7045×	body	80	valid
212.0ms	1240×	body	640	valid
72.0ms	657×	body	320	valid
29.0ms	333×	body	160	valid