Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	47×	body	1280	valid
6.0ms	44×	body	640	valid
6.0ms	215×	body	80	valid
2.0ms	23×	body	320	valid
1.0ms	12×	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

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Merged error: 0.0b

Counts

2 → 1

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:

5.0ms

(* (exp re) (cos im))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (exp re) (cos im))

simplify144.0ms

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

prune48.0ms

Filtered

23 candidates to 16 candidates (69.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	21	2	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	3	24

Merged error: 0.0b

Counts

24 → 3

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
0.0b	(* (sqrt (exp re)) (cos im))
0.2b	(sqrt (exp re))
0.2b	(sqrt (exp re))

rewrite25.0ms

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:

10.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
6.0ms	(* (sqrt (exp re)) (cos im))
2.0ms	(sqrt (exp re))
5.0ms	(sqrt (exp re))

series96.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))
39.0ms	(* (sqrt (exp re)) (cos im))
11.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))

simplify66.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 3 (58.0ms)

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

prune223.0ms

Filtered

95 candidates to 67 candidates (70.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	94	1	95
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	95	3	98

Merged error: 0b

Counts

98 → 3

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (cos im))
0.2b	(sqrt (exp re))
0.2b	(cbrt (exp re))
0.2b	(cbrt (exp re))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 64

Calls

4 calls:

7.0ms	(* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (cos im))
2.0ms	(sqrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))

series228.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(* (* (fabs (cbrt (exp re))) (sqrt (cbrt (exp re)))) (cos im))
11.0ms	(sqrt (exp re))
74.0ms	(cbrt (exp re))
76.0ms	(cbrt (exp re))

simplify109.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 3 (103.0ms)

Iter	Nodes	Cost
0	206	450
1	812	397
2	4094	378
3	5001	361

prune243.0ms

Filtered

76 candidates to 59 candidates (77.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	76	3	79

Merged error: 0b

Counts

79 → 3

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(cbrt (exp re))
0.2b	(cbrt (exp re))
0.2b	(cbrt (exp re))
0.3b	(cbrt (* (cbrt (exp re)) (cbrt (exp re))))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

10×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `pow1/3` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`

Counts

4 → 50

Calls

4 calls:

2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
2.0ms	(cbrt (exp re))
5.0ms	(cbrt (* (cbrt (exp re)) (cbrt (exp re))))

series317.0ms

Counts

4 → 12

Calls

4 calls:

76.0ms	(cbrt (exp re))
75.0ms	(cbrt (exp re))
74.0ms	(cbrt (exp re))
91.0ms	(cbrt (* (cbrt (exp re)) (cbrt (exp re))))

simplify55.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 4 (51.0ms)

Iter	Nodes	Cost
0	74	286
1	144	258
2	371	250
3	1274	237
4	5002	230

prune297.0ms

Filtered

62 candidates to 52 candidates (83.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	62	0	62
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	62	3	65

Merged error: 0b

Counts

65 → 3

regimes95.0ms

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

448.0ms	1592×	body	1280	valid
203.0ms	6938×	body	80	valid
195.0ms	1272×	body	640	valid
58.0ms	597×	body	320	valid
26.0ms	324×	body	160	valid