Details

sample395.0ms

Algorithm

intervals

Results

51.0ms	56×	body	1280	valid
15.0ms	180×	body	80	valid
12.0ms	37×	body	640	valid
5.0ms	24×	body	320	valid
1.0ms	7×	body	160	valid

simplify45.0ms

Counts

1 → 1

Iterations

Useful iterations: 2 (12.0ms)

Iter	Nodes	Cost
0	10	12
1	18	12
2	31	11
3	39	11
4	50	11
5	52	11
done	52	11

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

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:

23.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
6.0ms	(/ 1.0 (tan B))
6.0ms	(/ 1.0 (sin B))
25.0ms	(* x (/ 1.0 (tan B)))

series306.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
35.0ms	(/ 1.0 (tan B))
23.0ms	(/ 1.0 (sin B))
125.0ms	(* x (/ 1.0 (tan B)))

simplify1.4s

Counts

113 → 113

Iterations

Useful iterations: 2 (165.0ms)

Iter	Nodes	Cost
0	174	1141
1	383	1074
2	966	996
3	2660	996
done	5000	996

prune287.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
18×	`times-frac`
17×	`add-exp-log` `add-cbrt-cube`
9×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
5×	`prod-exp` `cbrt-unprod`
3×	`cbrt-undiv` `associate-r/` `div-exp` `associate-r` `pow-prod-down` `associate-l/`
2×	`frac-2neg` `clear-num` `div-inv`
1×	`sub-neg` `flip3--` `diff-log` `associate-l` `*-commutative` `frac-sub` `flip--` `sub-div`

Counts

4 → 89

Calls

4 calls:

31.0ms	(- (/ 1.0 (sin B)) (* (* 1.0 (/ x (sin B))) (cos B)))
5.0ms	(/ x (sin B))
30.0ms	(* (* 1.0 (/ x (sin B))) (cos B))
7.0ms	(/ 1.0 (sin B))

series300.0ms

Counts

4 → 12

Calls

4 calls:

119.0ms	(- (/ 1.0 (sin B)) (* (* 1.0 (/ x (sin B))) (cos B)))
56.0ms	(/ x (sin B))
105.0ms	(* (* 1.0 (/ x (sin B))) (cos B))
20.0ms	(/ 1.0 (sin B))

simplify1.1s

Counts

101 → 101

Iterations

Useful iterations: 2 (191.0ms)

Iter	Nodes	Cost
0	168	1176
1	378	1109
2	1213	996
done	5000	996

prune243.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-exp-log` `times-frac` `add-cbrt-cube`
7×	`pow1`
3×	`associate-r` `pow-prod-down` `prod-exp` `associate-/r` `cbrt-unprod` `associate-/l`
2×	`associate-/l/` `add-log-exp`
1×	`cbrt-undiv` `flip3--` `frac-2neg` `div-sub` `div-exp` `associate-l` `clear-num` `*-commutative` `flip--` `div-inv`

Counts

2 → 48

Calls

2 calls:

20.0ms	(* (* 1.0 x) (cos B))
14.0ms	(/ (- 1.0 (* (* 1.0 x) (cos B))) (sin B))

series123.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(* (* 1.0 x) (cos B))
81.0ms	(/ (- 1.0 (* (* 1.0 x) (cos B))) (sin B))

simplify1.7s

Counts

54 → 54

Iterations

Useful iterations: 3 (788.0ms)

Iter	Nodes	Cost
0	108	789
1	254	764
2	853	676
3	3235	674
done	5000	674

prune134.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (sin B))
0.2b	(* (/ 1.0 (sin B)) (cos B))
0.3b	(* x (* (/ 1.0 (sin B)) (cos B)))

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 107

Calls

4 calls:

5.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1.0 (sin B))
18.0ms	(* (/ 1.0 (sin B)) (cos B))
32.0ms	(* x (* (/ 1.0 (sin B)) (cos B)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(/ 1.0 (sin B))
19.0ms	(/ 1.0 (sin B))
38.0ms	(* (/ 1.0 (sin B)) (cos B))
107.0ms	(* x (* (/ 1.0 (sin B)) (cos B)))

simplify2.4s

Counts

119 → 119

Iterations

Useful iterations: 2 (152.0ms)

Iter	Nodes	Cost
0	136	1167
1	313	1138
2	978	984
3	4168	984
done	5000	984

prune269.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes60.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	11
1	11	11
done	11	11

end0.0ms

sample2.4s

Algorithm

intervals

Results

1.0s	1742×	body	1280	valid
517.0ms	1409×	body	640	valid
366.0ms	4896×	body	80	valid
170.0ms	744×	body	320	valid
55.0ms	340×	body	160	valid