Details

sample63.0ms

Algorithm

intervals

Results

27.0ms	65×	body	1280	valid
10.0ms	41×	body	640	valid
10.0ms	164×	body	80	valid
3.0ms	18×	body	320	valid
2.0ms	14×	body	160	valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (2.0ms)

Iter	Nodes	Cost
0	18	7
1	31	6
2	39	6
3	50	6
4	53	6
5	53	6

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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: 0.2b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.1b	(/ 1.0 (tan B))
0.2b	(/ 1.0 (sin B))
0.2b	(* x (/ 1.0 (tan B)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

14×	`clear-num`
12×	`associate-*r/` `frac-sub`
10×	`frac-2neg`
4×	`un-div-inv`
3×	`div-inv`
2×	`tan-quot` `associate-r` `associate-/r/`
1×	`sub-neg` `flip3--` `*-commutative` `flip--`

Counts

4 → 30

Calls

4 calls:

7.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
2.0ms	(/ 1.0 (tan B))
2.0ms	(/ 1.0 (sin B))
3.0ms	(* x (/ 1.0 (tan B)))

series290.0ms

Counts

4 → 12

Calls

4 calls:

120.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
39.0ms	(/ 1.0 (tan B))
18.0ms	(/ 1.0 (sin B))
113.0ms	(* x (/ 1.0 (tan B)))

simplify117.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (30.0ms)

Iter	Nodes	Cost
0	283	281
1	980	265
2	4521	246
3	5001	246

prune92.0ms

Filtered

42 candidates to 28 candidates (66.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	38	4	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0.1b

Counts

43 → 5

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ (* x (- 1.0)) (- (tan B))))
0.1b	(/ (* x (- 1.0)) (- (tan B)))
0.2b	(/ 1.0 (sin B))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

21×	`frac-sub`
12×	`neg-mul-1` `frac-2neg` `clear-num` `associate-/l*`
5×	`associate-r` `*-commutative`
4×	`associate-/r*`
3×	`times-frac`
2×	`div-inv`
1×	`tan-quot` `sub-neg` `flip3--` `distribute-frac-neg` `associate-/r/` `distribute-rgt-neg-out` `flip--` `distribute-neg-frac`

Counts

3 → 40

Calls

3 calls:

8.0ms	(- (/ 1.0 (sin B)) (/ (* x (- 1.0)) (- (tan B))))
4.0ms	(/ (* x (- 1.0)) (- (tan B)))
2.0ms	(/ 1.0 (sin B))

series252.0ms

Counts

3 → 9

Calls

3 calls:

121.0ms	(- (/ 1.0 (sin B)) (/ (* x (- 1.0)) (- (tan B))))
112.0ms	(/ (* x (- 1.0)) (- (tan B)))
18.0ms	(/ 1.0 (sin B))

simplify56.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (50.0ms)

Iter	Nodes	Cost
0	429	472
1	1796	413
2	5002	395

prune128.0ms

Filtered

49 candidates to 38 candidates (77.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	1	2	3
Picked	1	0	1
Done	0	1	1
Total	48	6	54

Merged error: 0.0b

Counts

54 → 6

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
0.1b	(* x (cos B))
0.2b	(/ 1 (sin B))
0.2b	(/ (* x (cos B)) (sin B))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

15×	`frac-sub`
12×	`frac-2neg`
10×	`clear-num`
8×	`associate-/l*`
5×	`*-commutative`
4×	`div-inv`
2×	`sub-div`
1×	`sub-neg` `flip3--` `distribute-rgt-out--` `flip--` `inv-pow`

Counts

4 → 32

Calls

4 calls:

7.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
2.0ms	(* x (cos B))
3.0ms	(/ 1 (sin B))
4.0ms	(/ (* x (cos B)) (sin B))

series238.0ms

Counts

4 → 12

Calls

4 calls:

93.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
35.0ms	(* x (cos B))
13.0ms	(/ 1 (sin B))
96.0ms	(/ (* x (cos B)) (sin B))

simplify44.0ms

Algorithm

egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	267	327
1	925	299
2	5001	296

prune88.0ms

Filtered

44 candidates to 27 candidates (61.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	43	7	50

Merged error: 0.0b

Counts

50 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (sin B) (* x (cos B)))
0.2b	(/ (sin B) (* x (cos B)))
0.3b	(* (/ (sin B) (* x (cos B))) (sin B))
8.3b	(/ (- (/ (sin B) (* x (cos B))) (sin B)) (* (/ (sin B) (* x (cos B))) (sin B)))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

11×	`associate-/r*`
10×	`associate-*l/`
6×	`*-commutative`
5×	`frac-2neg` `clear-num` `associate-/r/` `div-inv`
2×	`associate-l` `associate-/l/`
1×	`flip3--` `div-sub` `flip--`

Counts

4 → 31

Calls

4 calls:

4.0ms	(/ (sin B) (* x (cos B)))
7.0ms	(/ (sin B) (* x (cos B)))
5.0ms	(* (/ (sin B) (* x (cos B))) (sin B))
10.0ms	(/ (- (/ (sin B) (* x (cos B))) (sin B)) (* (/ (sin B) (* x (cos B))) (sin B)))

series381.0ms

Counts

4 → 12

Calls

4 calls:

64.0ms	(/ (sin B) (* x (cos B)))
65.0ms	(/ (sin B) (* x (cos B)))
72.0ms	(* (/ (sin B) (* x (cos B))) (sin B))
180.0ms	(/ (- (/ (sin B) (* x (cos B))) (sin B)) (* (/ (sin B) (* x (cos B))) (sin B)))

simplify42.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	217	291
1	1132	271
2	5001	251

prune107.0ms

Filtered

43 candidates to 34 candidates (79.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	41	2	43
Fresh	2	2	4
Picked	1	0	1
Done	0	2	2
Total	44	6	50

Merged error: 0.0b

Counts

50 → 6

regimes49.0ms

Accuracy

0% (0.2b 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	15	8
1	15	8

end0.0ms

sample1.8s

Algorithm

intervals

Results

734.0ms	1726×	body	1280	valid
386.0ms	1451×	body	640	valid
299.0ms	4933×	body	80	valid
126.0ms	702×	body	320	valid
48.0ms	331×	body	160	valid