Details

analyze1.8s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 2.509979%

Guaranteed chance to sample good point: 46.122844%

sample22.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
1.0ms	43×	body	80	invalid

simplify84.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 2 (3.0ms)

Iter	Nodes	Cost
0	16	4
1	42	3
2	109	2
3	577	2
4	4438	2
5	5002	2

prune11.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 5.4b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

5.2b	(* x (/ y z))

rewrite7.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`associate-r`
10×	`times-frac`
9×	`add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-l`
2×	`prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `associate-r/` `div-exp` `pow-prod-down` `-commutative` `div-inv` `add-log-exp`

Counts

1 → 32

Calls

1 calls:

6.0ms

(* x (/ y z))

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(* x (/ y z))

simplify64.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	166	133
1	744	118
2	3139	118
3	5001	118

prune57.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	29	6	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	7	36

Merged error: 0.0b

Counts

36 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

3.9b	(/ (* x y) z)

rewrite5.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-exp-log` `add-cbrt-cube`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `times-frac` `associate-/r`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv` `associate-/l*` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ (* x y) z)

series5.0ms

Counts

1 → 3

Calls

1 calls:

5.0ms

(/ (* x y) z)

simplify55.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	111	85
1	514	70
2	2471	70
3	5001	70

prune34.0ms

Filtered

13 candidates to 24 candidates (-84.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	3	2	5
Picked	0	1	1
Done	0	1	1
Total	24	7	31

Merged error: 0.0b

Counts

31 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.8b	(/ 1 (/ z (* x y)))
3.8b	(/ z (* x y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
28×	`add-exp-log`
20×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
16×	`add-cbrt-cube`
14×	`div-exp`
8×	`associate-/r*`
7×	`cbrt-undiv`
6×	`div-inv` `associate-/l*`
4×	`prod-exp`
3×	`pow1` `rec-exp` `1-exp`
2×	`frac-2neg` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`pow-flip` `associate-/r/` `inv-pow`

Counts

2 → 77

Calls

2 calls:

6.0ms	(/ 1 (/ z (* x y)))
4.0ms	(/ z (* x y))

series10.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ 1 (/ z (* x y)))
5.0ms	(/ z (* x y))

simplify35.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (29.0ms)

Iter	Nodes	Cost
0	268	405
1	1264	340
2	5001	295

prune53.0ms

Filtered

37 candidates to 83 candidates (-124.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	80	3	83
Fresh	4	0	4
Picked	1	0	1
Done	0	2	2
Total	85	5	90

Merged error: 0b

Counts

90 → 5

localize6.0ms

Local error

Found 2 expressions with local error:

0.4b	(/ 1 (* x y))
3.8b	(/ (/ 1 z) (/ 1 (* x y)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

208×	`times-frac`
96×	`add-exp-log`
88×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
62×	`div-exp`
28×	`add-cbrt-cube`
24×	`div-inv`
17×	`rec-exp` `1-exp`
16×	`associate-/l*`
15×	`cbrt-undiv` `prod-exp`
8×	`associate-/r*`
5×	`pow1`
3×	`cbrt-unprod`
2×	`pow-flip` `frac-2neg` `clear-num` `add-log-exp`
1×	`pow-prod-down` `associate-/r/` `associate-/l/` `inv-pow`

Counts

2 → 185

Calls

2 calls:

4.0ms	(/ 1 (* x y))
11.0ms	(/ (/ 1 z) (/ 1 (* x y)))

series11.0ms

Counts

2 → 6

Calls

2 calls:

2.0ms	(/ 1 (* x y))
8.0ms	(/ (/ 1 z) (/ 1 (* x y)))

simplify71.0ms

Algorithm

egg-herbie

Counts

191 → 191

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	831	1451
1	3724	1176
2	5002	939

prune78.0ms

Filtered

59 candidates to 191 candidates (-223.7%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	191	0	191
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	191	5	196

Merged error: 0b

Counts

196 → 5

regimes310.0ms

Accuracy

63.7% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 6.0b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	24	14
1	27	14
2	33	8
3	36	8
4	42	8
5	53	8
6	60	8
7	61	8
8	61	8

end0.0ms

analyze1.8s

Algorithm

sampling

Space saved by range analysis: 0.195169%

Space saved by search: 2.509979%

Guaranteed chance to sample good point: 46.122844%

sample541.0ms

Algorithm

intervals

Results

266.0ms	8000×	body	80	valid
46.0ms	1364×	body	80	invalid

Details

analyze1.8s

sample22.0ms

simplify84.0ms

prune11.0ms

localize4.0ms

rewrite7.0ms

series5.0ms

simplify64.0ms

prune57.0ms

localize4.0ms

rewrite5.0ms

series5.0ms

simplify55.0ms

prune34.0ms

localize5.0ms

rewrite13.0ms

series10.0ms

simplify35.0ms

prune53.0ms

localize6.0ms

rewrite24.0ms

series11.0ms

simplify71.0ms

prune78.0ms

regimes310.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

analyze1.8s

sample541.0ms

Profiling