Details

sample82.0ms

Algorithm

intervals

Results

36.0ms	59×	body	1280	valid
14.0ms	41×	body	640	valid
12.0ms	152×	body	80	valid
6.0ms	24×	body	320	valid
2.0ms	14×	body	160	valid

simplify9.0ms

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
done	53	6

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite58.0ms

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:

22.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
10.0ms	(/ 1.0 (tan B))
6.0ms	(/ 1.0 (sin B))
17.0ms	(* x (/ 1.0 (tan B)))

series302.0ms

Counts

4 → 12

Calls

4 calls:

125.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
40.0ms	(/ 1.0 (tan B))
20.0ms	(/ 1.0 (sin B))
116.0ms	(* x (/ 1.0 (tan B)))

simplify41.0ms

Counts

113 → 113

Iterations

Useful iterations: 1 (9.0ms)

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

prune277.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite45.0ms

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:

28.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
10.0ms	(/ (* x 1.0) (tan B))
5.0ms	(/ 1.0 (sin B))

series260.0ms

Counts

3 → 9

Calls

3 calls:

125.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
112.0ms	(/ (* x 1.0) (tan B))
23.0ms	(/ 1.0 (sin B))

simplify34.0ms

Counts

74 → 74

Iterations

Useful iterations: 1 (8.0ms)

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

prune190.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

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

rewrite58.0ms

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:

29.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
8.0ms	(* x (cos B))
12.0ms	(/ (* x (cos B)) (sin B))
7.0ms	(/ 1 (sin B))

series252.0ms

Counts

4 → 12

Calls

4 calls:

99.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
37.0ms	(* x (cos B))
101.0ms	(/ (* x (cos B)) (sin B))
14.0ms	(/ 1 (sin B))

simplify42.0ms

Counts

104 → 104

Iterations

Useful iterations: 2 (36.0ms)

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

prune212.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
0.2b	(/ (tan B) (* x 1.0))
0.2b	(/ 1.0 (sin B))
0.3b	(/ 1 (/ (tan B) (* x 1.0)))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

54×	`times-frac`
47×	`add-sqr-sqrt`
39×	`*-un-lft-identity`
32×	`add-exp-log`
30×	`add-cube-cbrt`
20×	`add-cbrt-cube`
15×	`div-exp`
11×	`associate-/r*`
9×	`associate-/l*`
8×	`cbrt-undiv` `div-inv`
6×	`add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`prod-exp`
3×	`rec-exp` `frac-2neg` `1-exp` `clear-num` `distribute-lft-out--`
2×	`cbrt-unprod`
1×	`tan-quot` `sub-neg` `flip3--` `pow-flip` `diff-log` `associate-/r/` `frac-sub` `flip--` `associate-/l/` `inv-pow`

Counts

4 → 127

Calls

4 calls:

41.0ms	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
9.0ms	(/ (tan B) (* x 1.0))
5.0ms	(/ 1.0 (sin B))
17.0ms	(/ 1 (/ (tan B) (* x 1.0)))

series300.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
52.0ms	(/ (tan B) (* x 1.0))
20.0ms	(/ 1.0 (sin B))
93.0ms	(/ 1 (/ (tan B) (* x 1.0)))

simplify54.0ms

Counts

139 → 139

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	527	996
1	2281	867
2	5001	858
done	5001	858

prune270.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes50.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7
done	14	7

end0.0ms

sample2.4s

Algorithm

intervals

Results

992.0ms	1701×	body	1280	valid
516.0ms	1454×	body	640	valid
397.0ms	4906×	body	80	valid
166.0ms	715×	body	320	valid
55.0ms	338×	body	160	valid