Details

analyze56.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

sample12.0ms

Algorithm

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify3.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	10	5
1	10	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: 0.2b

Counts

2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ x (* y 3.0))

rewrite4.0ms

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

(/ x (* y 3.0))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ x (* y 3.0))

simplify132.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 0 (129.0ms)

Iter	Nodes	Cost
0	4746	152
1	4746	152

prune35.0ms

Filtered

17 candidates to 24 candidates (-41.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	21	3	24
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	21	4	25

Merged error: 0b

Counts

25 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(/ (/ x y) 3.0)

rewrite8.0ms

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:

5.0ms

(/ (/ x y) 3.0)

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(/ (/ x y) 3.0)

simplify94.0ms

Algorithm

egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4692	781
1	4692	781

prune79.0ms

Filtered

59 candidates to 73 candidates (-23.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	73	4	77

Merged error: 0b

Counts

77 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b	(* x (/ 0.3333333333333333 y))

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 (/ 0.3333333333333333 y))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* x (/ 0.3333333333333333 y))

simplify64.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5400	230

prune37.0ms

Filtered

24 candidates to 35 candidates (-45.8%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	35	4	39

Merged error: 0b

Counts

39 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

0.3b	(* (/ 1 y) (/ x 3.0))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
25×	`times-frac`
23×	`add-exp-log`
17×	`*-un-lft-identity`
15×	`add-cube-cbrt`
13×	`associate-r` `associate-l` `add-cbrt-cube`
8×	`div-exp` `prod-exp`
6×	`unswap-sqr`
4×	`cbrt-undiv` `cbrt-unprod`
3×	`pow1`
2×	`rec-exp` `1-exp` `div-inv`
1×	`frac-times` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `add-log-exp`

Counts

1 → 56

Calls

1 calls:

10.0ms

(* (/ 1 y) (/ x 3.0))

series3.0ms

Counts

1 → 3

Calls

1 calls:

3.0ms

(* (/ 1 y) (/ x 3.0))

simplify64.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4953	432
1	4953	432

prune54.0ms

Filtered

37 candidates to 59 candidates (-59.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	59	4	63

Merged error: 0b

Counts

63 → 4

regimes143.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

end0.0ms

sample298.0ms

Algorithm

intervals

Results

158.0ms	8000×	body	80	valid
3.0ms	187×	body	80	invalid

Details

analyze56.0ms

sample12.0ms

simplify3.0ms

prune2.0ms

localize4.0ms

rewrite4.0ms

series3.0ms

simplify132.0ms

prune35.0ms

localize3.0ms

rewrite8.0ms

series3.0ms

simplify94.0ms

prune79.0ms

localize3.0ms

rewrite7.0ms

series3.0ms

simplify64.0ms

prune37.0ms

localize5.0ms

rewrite12.0ms

series3.0ms

simplify64.0ms

prune54.0ms

regimes143.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample298.0ms

Profiling