Details

sample42.0ms

Algorithm

intervals

Results

15.0ms	54×	body	1280	valid
8.0ms	212×	body	80	valid
6.0ms	40×	body	640	valid
3.0ms	25×	body	320	valid
1.0ms	9×	body	160	valid

simplify3.0ms

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))

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))

series32.0ms

Counts

1 → 3

Calls

1 calls:

32.0ms

(* (exp re) (cos im))

simplify139.0ms

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

prune38.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	20	1	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	20	2	22

Merged error: 0.0b

Counts

22 → 2

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))

rewrite12.0ms

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

series431.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(* (cbrt (cos im)) (cbrt (cos im)))
92.0ms	(cbrt (cos im))
95.0ms	(cbrt (cos im))
92.0ms	(cbrt (cos im))

simplify100.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (94.0ms)

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

prune201.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(pow (pow (cos im) 2) 1/3)
0.1b	(* (* (exp re) (pow (pow (cos im) 2) 1/3)) (cbrt (cos im)))
0.3b	(pow (cos im) 2)
0.3b	(cbrt (cos im))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log`
14×	`unpow-prod-down`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
11×	`prod-exp`
9×	`pow-exp`
8×	`add-cbrt-cube`
7×	`pow1`
6×	`cbrt-prod` `pow-unpow` `associate-r`
5×	`pow-to-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`sqr-pow`
2×	`pow-pow` `unpow1/3` `unpow2`
1×	`pow1/3` `associate-l` `pow-prod-down` `*-commutative`

Counts

4 → 79

Calls

4 calls:

4.0ms	(pow (pow (cos im) 2) 1/3)
10.0ms	(* (* (exp re) (pow (pow (cos im) 2) 1/3)) (cbrt (cos im)))
2.0ms	(pow (cos im) 2)
1.0ms	(cbrt (cos im))

series302.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(pow (pow (cos im) 2) 1/3)
32.0ms	(* (* (exp re) (pow (pow (cos im) 2) 1/3)) (cbrt (cos im)))
21.0ms	(pow (cos im) 2)
95.0ms	(cbrt (cos im))

simplify44.0ms

Algorithm

egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	329	503
1	1375	426
2	5001	381

prune191.0ms

Filtered

91 candidates to 54 candidates (59.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	91	3	94

Merged error: 0b

Counts

94 → 3

regimes83.0ms

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

sample1.2s

Algorithm

intervals

Results

445.0ms	1501×	body	1280	valid
222.0ms	6978×	body	80	valid
195.0ms	1247×	body	640	valid
62.0ms	610×	body	320	valid
22.0ms	299×	body	160	valid