Details

sample319.0ms

Algorithm

intervals

Results

21.0ms	51×	body	1280	valid
11.0ms	173×	body	80	valid
9.0ms	36×	body	640	valid
3.0ms	18×	body	320	valid
2.0ms	16×	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

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 88

Calls

3 calls:

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

series191.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(/ 1.0 (sin B))
36.0ms	(/ 1.0 (tan B))
135.0ms	(* x (/ 1.0 (tan B)))

simplify97.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	313	479
1	1203	438
2	4451	438
3	5002	438

prune259.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(/ (* x 1.0) (tan B))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
9×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `div-inv` `add-log-exp`
1×	`tan-quot` `prod-exp` `associate-/r/` `cbrt-unprod`

Counts

2 → 49

Calls

2 calls:

3.0ms	(/ 1.0 (sin B))
5.0ms	(/ (* x 1.0) (tan B))

series132.0ms

Counts

2 → 6

Calls

2 calls:

19.0ms	(/ 1.0 (sin B))
113.0ms	(/ (* x 1.0) (tan B))

simplify91.0ms

Algorithm

egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	236	273
1	924	242
2	3785	242
3	5002	242

prune149.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(/ (* x 1.0) (sin B))
0.2b	(* (/ (* x 1.0) (sin B)) (cos B))

rewrite18.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-exp-log` `add-cbrt-cube`
18×	`add-sqr-sqrt`
16×	`add-cube-cbrt` `*-un-lft-identity`
15×	`times-frac`
7×	`associate-l`
6×	`associate-/r*`
5×	`pow1` `cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
4×	`associate-/l*`
3×	`associate-r` `div-inv` `add-log-exp`
2×	`frac-2neg` `clear-num`
1×	`pow-prod-down` `associate-l/` `-commutative` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

3.0ms	(/ 1.0 (sin B))
5.0ms	(/ (* x 1.0) (sin B))
7.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

series182.0ms

Counts

3 → 9

Calls

3 calls:

19.0ms	(/ 1.0 (sin B))
58.0ms	(/ (* x 1.0) (sin B))
105.0ms	(* (/ (* x 1.0) (sin B)) (cos B))

simplify43.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	318	485
1	1511	410
2	5002	410

prune207.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.2b	(* x (cos B))
0.2b	(/ (* x (cos B)) (sin B))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`add-cube-cbrt` `*-un-lft-identity`
12×	`add-exp-log` `times-frac` `add-cbrt-cube`
6×	`associate-/r*`
5×	`pow1`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `add-log-exp`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `div-inv`
1×	`pow-prod-down` `*-commutative` `unswap-sqr`

Counts

3 → 66

Calls

3 calls:

3.0ms	(/ 1.0 (sin B))
4.0ms	(* x (cos B))
5.0ms	(/ (* x (cos B)) (sin B))

series155.0ms

Counts

3 → 9

Calls

3 calls:

18.0ms	(/ 1.0 (sin B))
39.0ms	(* x (cos B))
97.0ms	(/ (* x (cos B)) (sin B))

simplify105.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	241	366
1	975	319
2	4705	319
3	5001	319

prune173.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes73.0ms

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	12	8
1	12	8

end0.0ms

sample1.8s

Algorithm

intervals

Results

708.0ms	1689×	body	1280	valid
388.0ms	1479×	body	640	valid
307.0ms	4953×	body	80	valid
121.0ms	674×	body	320	valid
59.0ms	369×	body	160	valid