Details

sample3.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 21.875%

Guaranteed chance to sample good point: 85.25%

Results

6.0ms	256×	body	80	valid
0.0ms	6×	body	80	invalid

simplify4.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	3
1	12	3
2	12	3

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

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ x (* (* y z) z))
0.2b	(* (* y z) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-r*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-l` `sum-log` `*-commutative` `flip-+`

Counts

2 → 29

Calls

2 calls:

3.0ms	(+ x (* (* y z) z))
7.0ms	(* (* y z) z)

series28.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(+ x (* (* y z) z))
14.0ms	(* (* y z) z)

simplify109.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (105.0ms)

Iter	Nodes	Cost
0	159	140
1	724	123
2	3491	123
3	5001	122

prune52.0ms

Filtered

23 candidates to 35 candidates (-52.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Merged error: 0.0b

Counts

36 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
22.1b	(cbrt (* (* y z) z))
22.1b	(cbrt (* (* y z) z))
22.1b	(cbrt (* (* y z) z))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`pow1/3`
8×	`add-cube-cbrt` `*-un-lft-identity`
7×	`cbrt-prod`
6×	`add-exp-log`
4×	`swap-sqr` `associate-r` `associate-l` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 58

Calls

4 calls:

5.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
3.0ms	(cbrt (* (* y z) z))
3.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))

series94.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
21.0ms	(cbrt (* (* y z) z))
24.0ms	(cbrt (* (* y z) z))
23.0ms	(cbrt (* (* y z) z))

simplify97.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (92.0ms)

Iter	Nodes	Cost
0	203	457
1	665	406
2	3334	357
3	5002	319

prune81.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	69	7	76

Merged error: 0b

Counts

76 → 7

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt z) (cbrt z))
0.6b	(cbrt z)
0.6b	(cbrt z)
0.6b	(cbrt z)

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:

6.0ms	(* (cbrt z) (cbrt z))
1.0ms	(cbrt z)
1.0ms	(cbrt z)
1.0ms	(cbrt z)

series92.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* (cbrt z) (cbrt z))
24.0ms	(cbrt z)
21.0ms	(cbrt z)
22.0ms	(cbrt z)

simplify72.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (67.0ms)

Iter	Nodes	Cost
0	148	349
1	471	322
2	2276	265
3	5002	252

prune79.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	85	7	92

Merged error: 0b

Counts

92 → 7

localize16.0ms

Local error

Found 4 expressions with local error:

22.1b	(cbrt (* (* y z) z))
22.1b	(cbrt (* (* y z) z))
22.1b	(cbrt (* (* y z) z))
22.1b	(cbrt (* (* y z) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `cbrt-prod` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `pow1/3` `add-cbrt-cube` `add-log-exp`

Counts

4 → 36

Calls

4 calls:

4.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))

series85.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (* (* y z) z))
21.0ms	(cbrt (* (* y z) z))
21.0ms	(cbrt (* (* y z) z))
21.0ms	(cbrt (* (* y z) z))

simplify68.0ms

Algorithm

egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 3 (14.0ms)

Iter	Nodes	Cost
0	91	292
1	188	264
2	517	240
3	1397	204
4	5002	204

prune54.0ms

Filtered

36 candidates to 48 candidates (-33.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	48	0	48
Fresh	0	3	3
Picked	0	1	1
Done	0	3	3
Total	48	7	55

Merged error: 0b

Counts

55 → 7

regimes295.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	3
1	9	3

end0.0ms

sample3.9s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 21.875%

Guaranteed chance to sample good point: 85.25%

Results

201.0ms	8000×	body	80	valid
7.0ms	317×	body	80	invalid

Details

sample3.1s

simplify4.0ms

prune3.0ms

localize5.0ms

rewrite11.0ms

series28.0ms

simplify109.0ms

prune52.0ms

localize9.0ms

rewrite17.0ms

series94.0ms

simplify97.0ms

prune81.0ms

localize9.0ms

rewrite11.0ms

series92.0ms

simplify72.0ms

prune79.0ms

localize16.0ms

rewrite16.0ms

series85.0ms

simplify68.0ms

prune54.0ms

regimes295.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.9s

Profiling