Details

sample299.0ms

Algorithm

intervals

Results

19.0ms	45×	body	1280	valid
10.0ms	38×	body	640	valid
8.0ms	140×	body	80	valid
5.0ms	22×	body	320	valid
4.0ms	256×	pre	80	true
1.0ms	11×	body	160	valid

simplify14.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	21	6
3	22	6
4	22	6

prune4.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
0.1b	(* e (sin v))
0.1b	(* e (cos v))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

3×	`*-commutative`
2×	`associate-/r/` `associate-/l*`
1×	`frac-2neg` `flip3-+` `clear-num` `flip-+` `div-inv`

Counts

3 → 9

Calls

3 calls:

5.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
2.0ms	(* e (sin v))
4.0ms	(* e (cos v))

series193.0ms

Counts

3 → 9

Calls

3 calls:

90.0ms	(/ (* e (sin v)) (+ 1.0 (* e (cos v))))
39.0ms	(* e (sin v))
63.0ms	(* e (cos v))

simplify45.0ms

Algorithm

egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	128	99
1	395	94
2	1470	93
3	5001	93

prune45.0ms

Filtered

18 candidates to 13 candidates (72.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	15	3	18
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	4	19

Merged error: 0.0b

Counts

19 → 4

localize10.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ (+ 1.0 (* e (cos v))) (sin v))
0.1b	(* e (cos v))
0.2b	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/r/`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3-+` `flip-+`
1×	`associate-/r` `-commutative`

Counts

3 → 15

Calls

3 calls:

4.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
2.0ms	(* e (cos v))
4.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

series193.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (+ 1.0 (* e (cos v))) (sin v))
38.0ms	(* e (cos v))
88.0ms	(/ e (/ (+ 1.0 (* e (cos v))) (sin v)))

simplify90.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (17.0ms)

Iter	Nodes	Cost
0	174	146
1	565	141
2	2711	139
3	5001	139

prune64.0ms

Filtered

24 candidates to 19 candidates (79.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	23	5	28

Merged error: 0.0b

Counts

28 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(/ (+ 1.0 (* e (cos v))) e)
0.1b	(* e (cos v))
0.2b	(/ (sin v) (/ (+ 1.0 (* e (cos v))) e))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

5×	`associate-/r/`
4×	`associate-/l/`
3×	`frac-2neg` `clear-num` `div-inv`
2×	`flip3-+` `flip-+`
1×	`associate-/r` `-commutative`

Counts

3 → 15

Calls

3 calls:

4.0ms	(/ (+ 1.0 (* e (cos v))) e)
2.0ms	(* e (cos v))
4.0ms	(/ (sin v) (/ (+ 1.0 (* e (cos v))) e))

series164.0ms

Counts

3 → 9

Calls

3 calls:

50.0ms	(/ (+ 1.0 (* e (cos v))) e)
35.0ms	(* e (cos v))
78.0ms	(/ (sin v) (/ (+ 1.0 (* e (cos v))) e))

simplify76.0ms

Algorithm

egg-herbie

Counts

24 → 24

Iterations

Useful iterations: 2 (16.0ms)

Iter	Nodes	Cost
0	159	135
1	493	133
2	2534	129
3	5001	129

prune61.0ms

Filtered

24 candidates to 19 candidates (79.2%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	23	1	24
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	24	5	29

Merged error: 0.0b

Counts

29 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* e (sin v))
0.1b	(* e (cos v))
0.2b	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
0.6b	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`associate-/r/`
5×	`associate-/r*`
4×	`clear-num` `*-commutative` `associate-/l/`
3×	`frac-2neg` `div-inv`
2×	`flip3-+` `flip-+`
1×	`remove-double-div` `inv-pow`

Counts

4 → 22

Calls

4 calls:

3.0ms	(* e (sin v))
2.0ms	(* e (cos v))
5.0ms	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
6.0ms	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

series263.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* e (sin v))
38.0ms	(* e (cos v))
99.0ms	(/ (+ 1.0 (* e (cos v))) (* e (sin v)))
87.0ms	(/ 1 (/ (+ 1.0 (* e (cos v))) (* e (sin v))))

simplify112.0ms

Algorithm

egg-herbie

Counts

34 → 34

Iterations

Useful iterations: 2 (21.0ms)

Iter	Nodes	Cost
0	195	180
1	668	173
2	3673	170
3	5002	170

prune70.0ms

Filtered

34 candidates to 24 candidates (70.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	33	1	34
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	34	5	39

Merged error: 0.0b

Counts

39 → 5

regimes48.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	15
1	21	15

end0.0ms

sample1.7s

Algorithm

intervals

Results

659.0ms	1523×	body	1280	valid
341.0ms	1243×	body	640	valid
246.0ms	4299×	body	80	valid
122.0ms	629×	body	320	valid
105.0ms	8000×	pre	80	true
39.0ms	306×	body	160	valid