Details

sample510.0ms

Algorithm

intervals

Results

225.0ms	45×	body	640	valid
112.0ms	48×	body	1280	valid
56.0ms	168×	body	80	valid
25.0ms	24×	body	320	valid
9.0ms	13×	body	160	valid

simplify3.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
35	4970
34	4828
33	4665
32	4493
31	4330
30	4139
29	3972
28	3794
27	3608
26	3434
25	3297
24	3150
23	2978
22	2834
21	2632
20	2448
19	2290
18	2119
17	1964
16	1837
15	1728
14	1603
13	1490
12	1330
11	1186
10	1061
9	917
8	762
7	635
6	430
5	255
4	161
3	80
2	43
1	20
0	10

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize18.0ms

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))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt`
28×	`*-un-lft-identity`
27×	`times-frac`
19×	`add-cube-cbrt`
9×	`add-exp-log`
7×	`add-cbrt-cube`
6×	`associate-/r` `associate-/l` `difference-of-squares`
5×	`add-log-exp`
4×	`pow1`
3×	`div-exp` `insert-posit16` `div-inv` `distribute-lft-out--`
2×	`cbrt-undiv` `clear-num` `frac-2neg`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `tan-quot` `associate-/r/` `frac-sub` `pow-flip` `flip--` `inv-pow`

Counts

3 → 84

Calls

3 calls:

51.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
8.0ms	(/ 1 (sin B))
7.0ms	(/ x (tan B))

series316.0ms

Counts

3 → 9

Calls

3 calls:

141.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
16.0ms	(/ 1 (sin B))
159.0ms	(/ x (tan B))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
done	5049
3	2697
2	849
1	300
0	153

prune348.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

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))

rewrite65.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`times-frac` `add-exp-log`
13×	`add-cbrt-cube`
7×	`pow1` `div-inv`
6×	`associate-/r*` `add-log-exp`
4×	`div-exp` `insert-posit16` `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 → 96

Calls

4 calls:

39.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
6.0ms	(/ 1 (sin B))
7.0ms	(* x (cos B))
12.0ms	(/ (* x (cos B)) (sin B))

series378.0ms

Counts

4 → 12

Calls

4 calls:

147.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
30.0ms	(/ 1 (sin B))
63.0ms	(* x (cos B))
137.0ms	(/ (* x (cos B)) (sin B))

simplify1.7s

Counts

108 → 108

Iterations

Iter	Nodes
done	5001
2	1081
1	327
0	150

prune436.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite31.0ms

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×	`insert-posit16` `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 → 50

Calls

2 calls:

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

series158.0ms

Counts

2 → 6

Calls

2 calls:

62.0ms	(* x (cos B))
96.0ms	(/ (- 1 (* x (cos B))) (sin B))

simplify2.8s

Counts

56 → 56

Iterations

Iter	Nodes
done	5005
3	2454
2	625
1	211
0	96

prune248.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize27.0ms

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)))))

rewrite61.0ms

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×	`associate-r` `associate-l` `insert-posit16` `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 → 134

Calls

3 calls:

23.0ms	(/ (sin B) (- 1 (* x (cos B))))
14.0ms	(* x (cos B))
20.0ms	(/ 1 (/ (sin B) (- 1 (* x (cos B)))))

series208.0ms

Counts

3 → 9

Calls

3 calls:

68.0ms	(/ (sin B) (- 1 (* x (cos B))))
44.0ms	(* x (cos B))
96.0ms	(/ 1 (/ (sin B) (- 1 (* x (cos B)))))

simplify1.4s

Counts

143 → 143

Iterations

Iter	Nodes
done	5001
2	1385
1	562
0	228

prune515.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

regimes95.0ms

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

sample8.3s

Algorithm

intervals

Results

3.6s	1698×	body	1280	valid
2.2s	1455×	body	640	valid
1.3s	4821×	body	80	valid
652.0ms	724×	body	320	valid
241.0ms	389×	body	160	valid