Details

analyze656.0ms

Algorithm: search

sample23.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	61×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	37	3
2	67	3
3	79	3
4	79	3

prune4.0ms

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: 8.8b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

8.5b	(/ (* a1 a2) (* b1 b2))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 21

Calls

1 calls:

5.0ms

(/ (* a1 a2) (* b1 b2))

series8.0ms

Counts

1 → 3

Calls

1 calls:

7.0ms

(/ (* a1 a2) (* b1 b2))

simplify27.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 1 (5.0ms)

Iter	Nodes	Cost
0	160	124
1	936	89
2	5001	89

prune45.0ms

Filtered

13 candidates to 24 candidates (-84.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	18	6	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	7	25

Merged error: 0.1b

Counts

25 → 7

localize7.0ms

Local error

Found 2 expressions with local error:

0.5b	(/ 1 (/ (* b1 b2) (* a1 a2)))
8.3b	(/ (* b1 b2) (* a1 a2))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 77

Calls

2 calls:

7.0ms	(/ 1 (/ (* b1 b2) (* a1 a2)))
5.0ms	(/ (* b1 b2) (* a1 a2))

series16.0ms

Counts

2 → 6

Calls

2 calls:

8.0ms	(/ 1 (/ (* b1 b2) (* a1 a2)))
8.0ms	(/ (* b1 b2) (* a1 a2))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	322	504
1	1816	408
2	5003	383

prune69.0ms

Filtered

33 candidates to 83 candidates (-151.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	81	9	90

Merged error: 0.0b

Counts

90 → 9

localize9.0ms

Local error

Found 3 expressions with local error:

0.5b	(/ 1 (/ b1 (/ (* a1 a2) b2)))
1.7b	(/ (* a1 a2) b2)
5.8b	(/ b1 (/ (* a1 a2) b2))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

234×	`times-frac`
104×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
51×	`add-exp-log`
36×	`associate-/r*`
31×	`add-cbrt-cube`
30×	`div-exp`
23×	`div-inv`
16×	`cbrt-undiv`
7×	`associate-/l*`
6×	`associate-/r/`
5×	`prod-exp`
4×	`pow1` `rec-exp` `1-exp`
3×	`frac-2neg` `clear-num` `cbrt-unprod` `add-log-exp`
1×	`pow-flip` `inv-pow`

Counts

3 → 205

Calls

3 calls:

10.0ms	(/ 1 (/ b1 (/ (* a1 a2) b2)))
4.0ms	(/ (* a1 a2) b2)
5.0ms	(/ b1 (/ (* a1 a2) b2))

series21.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(/ 1 (/ b1 (/ (* a1 a2) b2)))
5.0ms	(/ (* a1 a2) b2)
8.0ms	(/ b1 (/ (* a1 a2) b2))

simplify86.0ms

Algorithm

egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 2 (69.0ms)

Iter	Nodes	Cost
0	722	1601
1	3955	1397
2	5001	1264

prune150.0ms

Filtered

117 candidates to 214 candidates (-82.9%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	210	4	214
Fresh	3	4	7
Picked	0	1	1
Done	0	1	1
Total	213	10	223

Merged error: 0.0b

Counts

223 → 10

localize6.0ms

Local error

Found 2 expressions with local error:

4.1b	(/ (* b1 b2) a2)
6.4b	(/ a1 (/ (* b1 b2) a2))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 69

Calls

2 calls:

4.0ms	(/ (* b1 b2) a2)
6.0ms	(/ a1 (/ (* b1 b2) a2))

series13.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ (* b1 b2) a2)
9.0ms	(/ a1 (/ (* b1 b2) a2))

simplify37.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	292	397
1	1409	353
2	5001	350

prune60.0ms

Filtered

55 candidates to 75 candidates (-36.4%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	2	5	7
Picked	0	1	1
Done	1	1	2
Total	76	9	85

Merged error: 0b

Counts

85 → 9

regimes653.0ms

Accuracy

40% (6.8b remaining)

Error of 6.8b against oracle of 0.0b and baseline of 11.3b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	21
1	37	21

end0.0ms

analyze558.0ms

Algorithm: search

sample520.0ms

Algorithm

intervals

Results

231.0ms	8000×	body	80	valid
57.0ms	1849×	body	80	invalid

Details

analyze656.0ms

sample23.0ms

simplify8.0ms

prune4.0ms

localize6.0ms

rewrite6.0ms

series8.0ms

simplify27.0ms

prune45.0ms

localize7.0ms

rewrite15.0ms

series16.0ms

simplify49.0ms

prune69.0ms

localize9.0ms

rewrite29.0ms

series21.0ms

simplify86.0ms

prune150.0ms

localize6.0ms

rewrite12.0ms

series13.0ms

simplify37.0ms

prune60.0ms

regimes653.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

analyze558.0ms

sample520.0ms

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