Details

analyze617.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 21.989385%

Guaranteed chance to sample good point: 85.25%

sample16.0ms

Algorithm

intervals

Results

6.0ms	256×	body	80	valid
0.0ms	14×	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)

rewrite8.0ms

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:

2.0ms	(+ x (* (* y z) z))
5.0ms	(* (* y z) z)

series20.0ms

Counts

2 → 6

Calls

2 calls:

13.0ms	(+ x (* (* y z) z))
7.0ms	(* (* y z) z)

simplify102.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 3 (98.0ms)

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

prune49.0ms

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)))
19.6b	(cbrt (* (* y z) z))
19.6b	(cbrt (* (* y z) z))
19.6b	(cbrt (* (* y z) z))

rewrite20.0ms

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:

6.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
4.0ms	(cbrt (* (* y z) z))
5.0ms	(cbrt (* (* y z) z))
4.0ms	(cbrt (* (* y z) z))

series91.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
20.0ms	(cbrt (* (* y z) z))
21.0ms	(cbrt (* (* y z) z))
22.0ms	(cbrt (* (* y z) z))

simplify97.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 3 (91.0ms)

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

prune83.0ms

Filtered

49 candidates to 70 candidates (-42.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	68	8	76

Merged error: 0.0b

Counts

76 → 8

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (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))
22.0ms	(cbrt z)
22.0ms	(cbrt z)
24.0ms	(cbrt z)

simplify71.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 3 (66.0ms)

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

prune88.0ms

Filtered

56 candidates to 85 candidates (-51.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	84	1	85
Fresh	0	5	5
Picked	0	1	1
Done	1	1	2
Total	85	8	93

Merged error: 0.0b

Counts

93 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

19.6b	(cbrt (* (* y z) z))
19.6b	(cbrt (* (* y z) z))
19.6b	(cbrt (* (* y z) z))
19.6b	(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))

series88.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(cbrt (* (* y z) z))
21.0ms	(cbrt (* (* y z) z))
21.0ms	(cbrt (* (* y z) z))
23.0ms	(cbrt (* (* y z) z))

simplify69.0ms

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

prune56.0ms

Filtered

36 candidates to 48 candidates (-33.3%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	47	1	48
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	47	9	56

Merged error: 0.0b

Counts

56 → 9

regimes325.0ms

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

analyze510.0ms

Algorithm

sampling

Space saved by range analysis: 0.146413%

Space saved by search: 21.989385%

Guaranteed chance to sample good point: 85.25%

sample386.0ms

Algorithm

intervals

Results

198.0ms	8000×	body	80	valid
8.0ms	354×	body	80	invalid

Details

analyze617.0ms

sample16.0ms

simplify4.0ms

prune3.0ms

localize5.0ms

rewrite8.0ms

series20.0ms

simplify102.0ms

prune49.0ms

localize9.0ms

rewrite20.0ms

series91.0ms

simplify97.0ms

prune83.0ms

localize8.0ms

rewrite11.0ms

series92.0ms

simplify71.0ms

prune88.0ms

localize14.0ms

rewrite16.0ms

series88.0ms

simplify69.0ms

prune56.0ms

regimes325.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

analyze510.0ms

sample386.0ms

Profiling