Details

sample868.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 90.869141%

Results

21.0ms	46×	body	1280	valid
12.0ms	42×	body	640	valid
9.0ms	134×	body	80	valid
3.0ms	18×	body	320	valid
2.0ms	16×	body	160	valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

prune8.0ms

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	(* x (cos y))
0.1b	(* z (sin y))

rewrite13.0ms

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×	`+-commutative` `flip3-+` `sum-log` `flip-+`

Counts

3 → 47

Calls

3 calls:

4.0ms	(+ (* x (cos y)) (* z (sin y)))
4.0ms	(* x (cos y))
4.0ms	(* z (sin y))

series31.0ms

Counts

3 → 9

Calls

3 calls:

15.0ms	(+ (* x (cos y)) (* z (sin y)))
7.0ms	(* x (cos y))
9.0ms	(* z (sin y))

simplify72.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	183	248
1	698	227
2	2213	227
3	5001	227

prune85.0ms

Filtered

39 candidates to 56 candidates (-43.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	48	8	56
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	8	57

Merged error: 0.0b

Counts

57 → 8

localize13.0ms

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))

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:

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

series77.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* (cbrt (cos y)) (cbrt (cos y)))
17.0ms	(cbrt (cos y))
16.0ms	(cbrt (cos y))
17.0ms	(cbrt (cos y))

simplify109.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (103.0ms)

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

prune114.0ms

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	1	6	7
Picked	1	0	1
Done	0	0	0
Total	84	9	93

Merged error: 0.0b

Counts

93 → 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))

series54.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(* (* x (cbrt (pow (cos y) 2))) (cbrt (cos y)))
3.0ms	(pow (cos y) 2)
27.0ms	(cbrt (pow (cos y) 2))
17.0ms	(cbrt (cos y))

simplify40.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 2 (34.0ms)

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

prune127.0ms

Filtered

50 candidates to 78 candidates (-56.0%)

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)

rewrite10.0ms

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))
3.0ms	(cbrt (cbrt (pow (cos y) 6)))
1.0ms	(cbrt (cos y))
2.0ms	(pow (cos y) 6)

series54.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(cbrt (pow (cos y) 6))
25.0ms	(cbrt (cbrt (pow (cos y) 6)))
19.0ms	(cbrt (cos y))
7.0ms	(pow (cos y) 6)

simplify127.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 3 (121.0ms)

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

prune99.0ms

Filtered

49 candidates to 73 candidates (-49.0%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	72	1	73
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	73	9	82

Merged error: 0.0b

Counts

82 → 9

regimes219.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	11
1	19	11

end0.0ms

sample2.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 90.869141%

Results

718.0ms	1532×	body	1280	valid
361.0ms	1226×	body	640	valid
285.0ms	4246×	body	80	valid
138.0ms	658×	body	320	valid
47.0ms	338×	body	160	valid

Details

sample868.0ms

simplify3.0ms

prune8.0ms

localize9.0ms

rewrite13.0ms

series31.0ms

simplify72.0ms

prune85.0ms

localize13.0ms

rewrite12.0ms

series77.0ms

simplify109.0ms

prune114.0ms

localize15.0ms

rewrite14.0ms

series54.0ms

simplify40.0ms

prune127.0ms

localize16.0ms

rewrite10.0ms

series54.0ms

simplify127.0ms

prune99.0ms

regimes219.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.7s

Profiling