Details

sample341.0ms

Algorithm

intervals

Results

31.0ms	67×	body	1280	valid
12.0ms	45×	body	640	valid
10.0ms	159×	body	80	valid
4.0ms	23×	body	320	valid
1.0ms	10×	body	160	valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

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

prune8.0ms

Filtered

1 candidates to 1 candidates (100.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.1b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (tan B))
0.3b	(* x (/ 1.0 (tan B)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`add-cube-cbrt` `*-un-lft-identity` `times-frac`
14×	`associate-r`
13×	`add-exp-log` `add-cbrt-cube`
6×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
3×	`cbrt-undiv` `div-exp` `associate-l` `div-inv`
2×	`tan-quot` `frac-2neg` `associate-*r/` `prod-exp` `clear-num` `associate-/r/` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--`

Counts

4 → 101

Calls

4 calls:

6.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
18.0ms	(/ 1.0 (sin B))
4.0ms	(/ 1.0 (tan B))
9.0ms	(* x (/ 1.0 (tan B)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

123.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
22.0ms	(/ 1.0 (sin B))
35.0ms	(/ 1.0 (tan B))
125.0ms	(* x (/ 1.0 (tan B)))

simplify45.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	386	627
1	1479	584
2	5001	584

prune295.0ms

Filtered

113 candidates to 88 candidates (77.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

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))
0.1b	(/ 1.0 (sin B))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `div-inv` `difference-of-squares`
1×	`tan-quot` `sub-neg` `flip3--` `diff-log` `prod-exp` `associate-/r/` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 65

Calls

3 calls:

10.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
5.0ms	(/ (* x 1.0) (tan B))
4.0ms	(/ 1.0 (sin B))

series250.0ms

Counts

3 → 9

Calls

3 calls:

123.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
108.0ms	(/ (* x 1.0) (tan B))
19.0ms	(/ 1.0 (sin B))

simplify35.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	316	461
1	1175	428
2	5001	428

prune187.0ms

Filtered

74 candidates to 55 candidates (74.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`add-exp-log` `times-frac`
13×	`add-cbrt-cube`
7×	`pow1` `div-inv`
6×	`associate-/r*` `add-log-exp`
4×	`div-exp` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `associate-r` `associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `distribute-lft-out--`
1×	`sub-neg` `rec-exp` `flip3--` `pow-flip` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `inv-pow` `sub-div` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

10.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
6.0ms	(/ 1 (sin B))
4.0ms	(* x (cos B))
5.0ms	(/ (* x (cos B)) (sin B))

series234.0ms

Counts

4 → 12

Calls

4 calls:

91.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
13.0ms	(/ 1 (sin B))
35.0ms	(* x (cos B))
94.0ms	(/ (* x (cos B)) (sin B))

simplify43.0ms

Algorithm

egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	309	612
1	1342	540
2	5002	535

prune219.0ms

Filtered

104 candidates to 65 candidates (62.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

110×	`times-frac`
92×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
62×	`add-cube-cbrt`
19×	`associate-/r*`
15×	`add-exp-log`
13×	`add-cbrt-cube`
9×	`associate-/l*` `difference-of-squares`
8×	`div-inv`
6×	`div-exp` `add-log-exp`
5×	`pow1` `cbrt-undiv`
3×	`frac-2neg` `clear-num` `distribute-lft-out--`
1×	`sub-neg` `rec-exp` `quot-tan` `flip3--` `pow-flip` `diff-log` `1-exp` `associate-/r/` `frac-sub` `flip--` `inv-pow`

Counts

4 → 154

Calls

4 calls:

28.0ms	(- (/ 1 (sin B)) (/ x (/ (sin B) (cos B))))
6.0ms	(/ x (/ (sin B) (cos B)))
4.0ms	(/ 1 (sin B))
5.0ms	(/ (sin B) (cos B))

series217.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(- (/ 1 (sin B)) (/ x (/ (sin B) (cos B))))
92.0ms	(/ x (/ (sin B) (cos B)))
13.0ms	(/ 1 (sin B))
23.0ms	(/ (sin B) (cos B))

simplify56.0ms

Algorithm

egg-herbie

Counts

166 → 166

Iterations

Useful iterations: 2 (43.0ms)

Iter	Nodes	Cost
0	545	1386
1	2184	1303
2	5001	1302

prune392.0ms

Filtered

166 candidates to 122 candidates (73.5%)

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes68.0ms

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	14	8
1	14	8

end0.0ms

sample1.8s

Algorithm

intervals

Results

745.0ms	1725×	body	1280	valid
408.0ms	1482×	body	640	valid
305.0ms	4868×	body	80	valid
130.0ms	693×	body	320	valid
47.0ms	359×	body	160	valid