Details

sample38.0ms

Algorithm

intervals

Results

13.0ms	51×	body	1280	valid
6.0ms	44×	body	640	valid
6.0ms	212×	body	80	valid
2.0ms	22×	body	320	valid
0.0ms	7×	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`
4×	`add-exp-log`
3×	`pow1` `add-cube-cbrt` `-un-lft-identity` `associate-r` `associate-l*` `add-cbrt-cube`
2×	`prod-exp`
1×	`pow-prod-down` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 19

Calls

1 calls:

5.0ms

(* (exp re) (cos im))

series38.0ms

Counts

1 → 3

Calls

1 calls:

38.0ms

(* (exp re) (cos im))

simplify134.0ms

Algorithm

egg-herbie

Counts

22 → 22

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	80	100
1	282	88
2	1004	88
3	4015	88
4	5002	88

prune32.0ms

Filtered

22 candidates to 14 candidates (63.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	20	2	22
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	3	23

Merged error: 0b

Counts

23 → 3

localize7.0ms

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)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

43×	`add-sqr-sqrt`
22×	`associate-r` `sqrt-prod`
18×	`associate-l`
17×	`add-cube-cbrt` `*-un-lft-identity`
14×	`unswap-sqr`
13×	`pow1`
11×	`add-exp-log` `add-cbrt-cube`
8×	`sqrt-pow1`
6×	`exp-prod`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`*-commutative`
2×	`rem-sqrt-square` `pow1/2`

Counts

4 → 96

Calls

4 calls:

6.0ms	(* (sqrt (exp re)) (cos im))
2.0ms	(sqrt (exp re))
2.0ms	(sqrt (exp re))
15.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

series103.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* (sqrt (exp re)) (cos im))
15.0ms	(sqrt (exp re))
12.0ms	(sqrt (exp re))
34.0ms	(* (sqrt (exp re)) (* (sqrt (exp re)) (cos im)))

simplify73.0ms

Algorithm

egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 3 (66.0ms)

Iter	Nodes	Cost
0	186	632
1	741	538
2	3032	522
3	5001	516

prune165.0ms

Filtered

108 candidates to 68 candidates (63.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	108	3	111

Merged error: 0b

Counts

111 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`unpow-prod-down`
19×	`add-sqr-sqrt`
17×	`cbrt-prod`
14×	`*-un-lft-identity`
13×	`add-cube-cbrt`
10×	`add-exp-log`
9×	`associate-r` `associate-l`
8×	`pow1` `add-cbrt-cube`
4×	`pow-unpow` `prod-exp`
3×	`pow-exp` `*-commutative` `add-log-exp` `unswap-sqr`
2×	`pow-pow` `unpow3` `pow-prod-down` `rem-cbrt-cube` `cbrt-unprod` `rem-cube-cbrt` `sqr-pow`
1×	`pow-to-exp` `pow1/3`

Counts

3 → 78

Calls

3 calls:

6.0ms	(* (exp re) (cos im))
7.0ms	(pow (* (exp re) (cos im)) 3)
7.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

series131.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(* (exp re) (cos im))
59.0ms	(pow (* (exp re) (cos im)) 3)
38.0ms	(cbrt (pow (* (exp re) (cos im)) 3))

simplify40.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 2 (34.0ms)

Iter	Nodes	Cost
0	237	441
1	1016	421
2	5002	415

prune119.0ms

Filtered

87 candidates to 50 candidates (57.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	87	3	90

Merged error: 0b

Counts

90 → 3

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	6	3
1	6	3

end0.0ms

sample1.1s

Algorithm

intervals

Results

437.0ms	1543×	body	1280	valid
217.0ms	6974×	body	80	valid
187.0ms	1208×	body	640	valid
64.0ms	615×	body	320	valid
21.0ms	296×	body	160	valid