Details

sample1.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.890625%

Results

27.0ms	52×	body	1280	valid
11.0ms	42×	body	640	valid
9.0ms	135×	body	80	valid
2.0ms	12×	body	320	valid
2.0ms	15×	body	160	valid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	5
1	19	5
2	19	5

prune3.0ms

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: 0.1b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* x (cos y)) (* z (sin y)))
0.1b	(* z (sin y))
0.2b	(* x (cos y))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
7×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube`
6×	`associate-r` `associate-l`
5×	`add-log-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `flip--`

Counts

3 → 48

Calls

3 calls:

3.0ms	(- (* x (cos y)) (* z (sin y)))
4.0ms	(* z (sin y))
4.0ms	(* x (cos y))

series28.0ms

Counts

3 → 9

Calls

3 calls:

14.0ms	(- (* x (cos y)) (* z (sin y)))
7.0ms	(* z (sin y))
6.0ms	(* x (cos y))

simplify58.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	174	254
1	636	233
2	2041	233
3	5001	233

prune88.0ms

Filtered

39 candidates to 57 candidates (-46.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	48	9	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	9	58

Merged error: 0.0b

Counts

58 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (cos y)) (cbrt (cos y)))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))
0.4b	(cbrt (cos y))

rewrite11.0ms

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:

5.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))
1.0ms	(cbrt (cos y))

series76.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
16.0ms	(cbrt (cos y))
18.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify104.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (98.0ms)

Iter	Nodes	Cost
0	125	433
1	507	381
2	3337	357
3	5001	351

prune109.0ms

Filtered

60 candidates to 85 candidates (-41.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
0.3b	(pow (cos y) 2)
0.3b	(cbrt (pow (cos y) 2))
0.4b	(cbrt (cos y))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

7.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
2.0ms	(pow (cos y) 2)
2.0ms	(cbrt (pow (cos y) 2))
1.0ms	(cbrt (cos y))

series53.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
25.0ms	(cbrt (pow (cos y) 2))
19.0ms	(cbrt (cos y))

simplify37.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	236	416
1	1087	359
2	5001	345

prune124.0ms

Filtered

51 candidates to 78 candidates (-52.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	78	9	87

Merged error: 0.0b

Counts

87 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(cbrt (pow (cos y) 6))
0.3b	(cbrt (cbrt (pow (cos y) 6)))
0.4b	(cbrt (cos y))
0.6b	(pow (cos y) 6)

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

27×	`cbrt-prod`
12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `pow1/3` `sqr-pow`
1×	`pow-to-exp` `pow-pow` `pow-exp`

Counts

4 → 61

Calls

4 calls:

2.0ms	(cbrt (pow (cos y) 6))
5.0ms	(cbrt (cbrt (pow (cos y) 6)))
1.0ms	(cbrt (cos y))
2.0ms	(pow (cos y) 6)

series52.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(cbrt (pow (cos y) 6))
25.0ms	(cbrt (cbrt (pow (cos y) 6)))
18.0ms	(cbrt (cos y))
7.0ms	(pow (cos y) 6)

simplify122.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (117.0ms)

Iter	Nodes	Cost
0	177	376
1	572	332
2	2625	323
3	5001	289

prune97.0ms

Filtered

49 candidates to 73 candidates (-49.0%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	74	8	82

Merged error: 0.0b

Counts

82 → 8

regimes276.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	11
1	18	11

end0.0ms

sample3.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 87.890625%

Results

687.0ms	1542×	body	1280	valid
339.0ms	1210×	body	640	valid
295.0ms	4306×	body	80	valid
128.0ms	637×	body	320	valid
41.0ms	305×	body	160	valid

Details

sample1.2s

simplify4.0ms

prune3.0ms

localize9.0ms

rewrite12.0ms

series28.0ms

simplify58.0ms

prune88.0ms

localize14.0ms

rewrite11.0ms

series76.0ms

simplify104.0ms

prune109.0ms

localize15.0ms

rewrite14.0ms

series53.0ms

simplify37.0ms

prune124.0ms

localize16.0ms

rewrite12.0ms

series52.0ms

simplify122.0ms

prune97.0ms

regimes276.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.0s

Profiling