Details

analyze3.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
75%	18.7%	6.3%	5
75%	9.4%	15.7%	6
75%	4.7%	20.4%	7
75%	2.3%	22.7%	8
75%	1.2%	23.9%	9
75%	0.6%	24.5%	10
75%	0.3%	24.7%	11
75%	0.1%	24.9%	12
75%	0.1%	25%	13
75%	0%	25%	14

sample9.0ms

Algorithm

intervals

Results

4.0ms

256×

body

valid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune2.0ms

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: 1.0b

Counts

2 → 1

localize3.0ms

Local error

Found 1 expressions with local error:

1.0b	(/ 1.0 (* x x))

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-/l`
2×	`cbrt-undiv` `div-exp`
1×	`pow1` `frac-2neg` `prod-exp` `clear-num` `associate-/r*` `cbrt-unprod` `div-inv` `add-log-exp`

Counts

1 → 21

Calls

1 calls:

4.0ms

(/ 1.0 (* x x))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ 1.0 (* x x))

simplify36.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5024	152

prune34.0ms

Filtered

16 candidates to 24 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	22	2	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	3	25

Merged error: 0.0b

Counts

25 → 3

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b	(/ (/ 1.0 x) x)

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 70

Calls

1 calls:

6.0ms

(/ (/ 1.0 x) x)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (/ 1.0 x) x)

simplify83.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4714	702
1	4714	702

prune81.0ms

Filtered

49 candidates to 73 candidates (-49.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	71	5	76

Merged error: 0.0b

Counts

76 → 5

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow (cbrt x) 2)
0.6b	(cbrt (/ 1.0 x))
0.6b	(cbrt (/ 1.0 x))
0.6b	(cbrt (/ 1.0 x))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

42×	`cbrt-prod`
28×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`times-frac`
6×	`unpow-prod-down`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `cbrt-div` `div-inv`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `unpow2` `sqr-pow`

Counts

4 → 88

Calls

4 calls:

3.0ms	(pow (cbrt x) 2)
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))
2.0ms	(cbrt (/ 1.0 x))

series97.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(pow (cbrt x) 2)
24.0ms	(cbrt (/ 1.0 x))
25.0ms	(cbrt (/ 1.0 x))
23.0ms	(cbrt (/ 1.0 x))

simplify58.0ms

Algorithm

egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5091	709

prune202.0ms

Filtered

76 candidates to 100 candidates (-31.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	100	5	105

Merged error: 0.0b

Counts

105 → 5

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (pow 1.0 3) (pow x 6))
22.1b	(cbrt (/ (pow 1.0 3) (pow x 6)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

168×	`times-frac`
120×	`unpow-prod-down`
98×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
88×	`cbrt-prod`
45×	`cube-prod`
40×	`sqr-pow`
15×	`cube-mult` `unpow3`
14×	`add-exp-log`
12×	`associate-/l*`
9×	`div-exp`
7×	`associate-/r*`
6×	`pow-to-exp` `pow-exp`
4×	`add-cbrt-cube`
2×	`pow1` `div-inv` `add-log-exp`
1×	`cbrt-undiv` `cbrt-div` `frac-2neg` `pow1/3` `clear-num`

Counts

2 → 220

Calls

2 calls:

7.0ms	(/ (pow 1.0 3) (pow x 6))
9.0ms	(cbrt (/ (pow 1.0 3) (pow x 6)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(/ (pow 1.0 3) (pow x 6))
3.0ms	(cbrt (/ (pow 1.0 3) (pow x 6)))

simplify78.0ms

Algorithm

egg-herbie

Counts

226 → 226

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5712	2826

prune211.0ms

Filtered

94 candidates to 226 candidates (-140.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	224	2	226
Fresh	1	0	1
Picked	0	1	1
Done	0	3	3
Total	225	6	231

Merged error: 0.0b

Counts

231 → 6

regimes103.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
1	4	5

end0.0ms

sample227.0ms

Algorithm

intervals

Results

137.0ms	8000×	body	80	valid
0.0ms	5×	body	80	invalid

Details

analyze3.0ms

sample9.0ms

simplify3.0ms

prune2.0ms

localize3.0ms

rewrite5.0ms

series3.0ms

simplify36.0ms

prune34.0ms

localize3.0ms

rewrite9.0ms

series3.0ms

simplify83.0ms

prune81.0ms

localize12.0ms

rewrite12.0ms

series97.0ms

simplify58.0ms

prune202.0ms

localize7.0ms

rewrite27.0ms

series9.0ms

simplify78.0ms

prune211.0ms

regimes103.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample227.0ms

Profiling