Details

sample41.0ms

Algorithm

intervals

Results

13.0ms	42×	body	1280	valid
9.0ms	46×	body	640	valid
8.0ms	223×	body	80	valid
2.0ms	17×	body	320	valid
1.0ms	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

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (exp re) (sin 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) (sin im))

series37.0ms

Counts

1 → 3

Calls

1 calls:

37.0ms

(* (exp re) (sin im))

simplify166.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	87	100
1	289	86
2	1099	86
3	4640	86
4	5001	86

prune39.0ms

Filtered

21 candidates to 14 candidates (66.7%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0b

Counts

22 → 4

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (sin im)) (cbrt (sin im)))
0.6b	(cbrt (sin im))
0.6b	(cbrt (sin im))
0.6b	(cbrt (sin 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 (sin im)) (cbrt (sin im)))
1.0ms	(cbrt (sin im))
1.0ms	(cbrt (sin im))
2.0ms	(cbrt (sin im))

series398.0ms

Counts

4 → 12

Calls

4 calls:

110.0ms	(* (cbrt (sin im)) (cbrt (sin im)))
93.0ms	(cbrt (sin im))
99.0ms	(cbrt (sin im))
96.0ms	(cbrt (sin im))

simplify110.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (102.0ms)

Iter	Nodes	Cost
0	154	453
1	551	401
2	3082	369
3	5002	363

prune173.0ms

Filtered

85 candidates to 60 candidates (70.6%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	85	4	89

Merged error: 0b

Counts

89 → 4

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (exp re) (sin im))
0.3b	(pow (* (exp re) (sin im)) 3)
15.9b	(cbrt (pow (* (exp re) (sin im)) 3))

rewrite13.0ms

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

series127.0ms

Counts

3 → 9

Calls

3 calls:

39.0ms	(* (exp re) (sin im))
49.0ms	(pow (* (exp re) (sin im)) 3)
39.0ms	(cbrt (pow (* (exp re) (sin im)) 3))

simplify33.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 2 (28.0ms)

Iter	Nodes	Cost
0	173	312
1	761	294
2	5002	291

prune100.0ms

Filtered

66 candidates to 42 candidates (63.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	66	4	70

Merged error: 0b

Counts

70 → 4

localize8.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1`
32×	`sqrt-pow1`
23×	`pow-prod-down`
14×	`add-sqr-sqrt`
12×	`pow1/2`
10×	`add-cube-cbrt` `*-un-lft-identity` `pow-prod-up`
8×	`add-cbrt-cube`
7×	`add-exp-log` `associate-r` `associate-l`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 89

Calls

4 calls:

5.0ms	(* (exp re) (sin im))
3.0ms	(sqrt (* (exp re) (sin im)))
4.0ms	(sqrt (* (exp re) (sin im)))
11.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

series180.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* (exp re) (sin im))
51.0ms	(sqrt (* (exp re) (sin im)))
54.0ms	(sqrt (* (exp re) (sin im)))
36.0ms	(* (sqrt (* (exp re) (sin im))) (sqrt (* (exp re) (sin im))))

simplify35.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	186	458
1	809	398
2	5001	376

prune130.0ms

Filtered

101 candidates to 53 candidates (52.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	101	4	105

Merged error: 0b

Counts

105 → 4

regimes94.0ms

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

447.0ms	1505×	body	1280	valid
247.0ms	6933×	body	80	valid
209.0ms	1238×	body	640	valid
67.0ms	615×	body	320	valid
26.0ms	299×	body	160	valid