Details

sample437.0ms

Algorithm

intervals

Results

149.0ms	48×	body	1280	valid
65.0ms	45×	body	640	valid
58.0ms	168×	body	80	valid
28.0ms	24×	body	320	valid
9.0ms	13×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
29	4790
28	4572
27	4388
26	4180
25	3967
24	3753
23	3564
22	3407
21	3205
20	3006
19	2833
18	2631
17	2458
16	2289
15	2130
14	1959
13	1787
12	1570
11	1347
10	1172
9	1050
8	909
7	752
6	541
5	310
4	185
3	85
2	45
1	20
0	10

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

279×	`times-frac`
232×	`add-sqr-sqrt`
224×	`*-un-lft-identity`
215×	`add-cube-cbrt`
182×	`prod-diff`
31×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l` `difference-of-squares`
5×	`add-log-exp`
4×	`pow1`
3×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `distribute-lft-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

3 → 285

Calls

3 calls:

39.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms	(/ 1 (sin B))
6.0ms	(/ x (tan B))

series339.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
27.0ms	(/ 1 (sin B))
159.0ms	(/ x (tan B))

simplify1.8s

Counts

294 → 294

Iterations

Iter	Nodes
done	5001
2	1990
1	848
0	381

prune974.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize36.0ms

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))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

126×	`times-frac`
107×	`add-sqr-sqrt`
105×	`*-un-lft-identity`
98×	`add-cube-cbrt`
91×	`prod-diff`
28×	`div-inv`
15×	`add-exp-log`
13×	`add-cbrt-cube` `fma-neg`
7×	`pow1`
6×	`associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `associate-r` `associate-l` `difference-of-squares`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `distribute-lft-out--`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `frac-sub` `pow-flip` `flip--` `inv-pow` `sub-div` `unswap-sqr`

Counts

4 → 208

Calls

4 calls:

38.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
11.0ms	(/ 1 (sin B))
15.0ms	(* x (cos B))
29.0ms	(/ (* x (cos B)) (sin B))

series336.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
14.0ms	(/ 1 (sin B))
54.0ms	(* x (cos B))
149.0ms	(/ (* x (cos B)) (sin B))

simplify2.0s

Counts

220 → 220

Iterations

Iter	Nodes
done	5000
2	1616
1	613
0	269

prune922.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
12×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
6×	`add-cbrt-cube` `add-exp-log`
4×	`pow1`
3×	`associate-/r` `associate-r` `associate-l` `associate-/l`
2×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `flip--` `unswap-sqr`

Counts

2 → 54

Calls

2 calls:

15.0ms	(* x (cos B))
14.0ms	(/ (- 1 (* x (cos B))) (sin B))

series193.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* x (cos B))
122.0ms	(/ (- 1 (* x (cos B))) (sin B))

simplify2.3s

Counts

60 → 60

Iterations

Iter	Nodes
done	5001
3	2476
2	656
1	218
0	100

prune269.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
59×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `add-cube-cbrt`
18×	`associate-/r*` `add-exp-log`
12×	`add-cbrt-cube`
11×	`associate-/r/`
8×	`div-exp`
6×	`pow1` `div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`expm1-log1p-u` `associate-r` `associate-l` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

3 → 140

Calls

3 calls:

12.0ms	(/ (sin B) (- 1 (* x (cos B))))
7.0ms	(* x (cos B))
11.0ms	(/ 1 (/ (sin B) (- 1 (* x (cos B)))))

series184.0ms

Counts

3 → 9

Calls

3 calls:

57.0ms	(/ (sin B) (- 1 (* x (cos B))))
49.0ms	(* x (cos B))
78.0ms	(/ 1 (/ (sin B) (- 1 (* x (cos B)))))

simplify1.6s

Counts

149 → 149

Iterations

Iter	Nodes
done	5001
2	1403
1	572
0	234

prune651.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes157.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	8

end0.0ms

sample8.6s

Algorithm

intervals

Results

3.6s	1698×	body	1280	valid
2.0s	1455×	body	640	valid
1.5s	4821×	body	80	valid
1.1s	724×	body	320	valid
215.0ms	389×	body	160	valid