Details

sample430.0ms

Algorithm

intervals

Results

143.0ms	55×	body	1280	valid
107.0ms	158×	body	80	valid
57.0ms	39×	body	640	valid
33.0ms	33×	body	320	valid
5.0ms	7×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2005
18	2005
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

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize35.0ms

Local error

Found 3 expressions with local error:

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

rewrite80.0ms

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:

52.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
10.0ms	(/ x (tan B))
14.0ms	(/ 1 (sin B))

series435.0ms

Counts

3 → 9

Calls

3 calls:

190.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
203.0ms	(/ x (tan B))
41.0ms	(/ 1 (sin B))

simplify1.1s

Counts

93 → 93

Iterations

Iter	Nodes
done	2001
3	2001
2	875
1	300
0	153

prune536.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

33×	`add-sqr-sqrt`
28×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
15×	`add-exp-log`
13×	`add-cbrt-cube` `associate-l`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
4×	`div-exp` `insert-posit16`
3×	`cbrt-undiv` `associate-r` `associate-*l/` `div-inv`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `frac-sub` `pow-flip` `flip--` `inv-pow` `sub-div`

Counts

4 → 108

Calls

4 calls:

41.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
9.0ms	(/ x (sin B))
10.0ms	(/ 1 (sin B))
29.0ms	(* (/ x (sin B)) (cos B))

series385.0ms

Counts

4 → 12

Calls

4 calls:

122.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
87.0ms	(/ x (sin B))
31.0ms	(/ 1 (sin B))
144.0ms	(* (/ x (sin B)) (cos B))

simplify1.4s

Counts

120 → 120

Iterations

Iter	Nodes
done	2063
3	2063
2	1301
1	373
0	166

prune646.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite19.0ms

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:

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

series189.0ms

Counts

2 → 6

Calls

2 calls:

122.0ms	(/ (- 1 (* x (cos B))) (sin B))
67.0ms	(* x (cos B))

simplify1.1s

Counts

56 → 56

Iterations

Iter	Nodes
done	2000
3	2000
2	620
1	208
0	96

prune325.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
0.1b	(/ 1 (sin B))
0.2b	(/ 1 (tan B))
0.3b	(* x (/ 1 (tan B)))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

35×	`add-sqr-sqrt`
29×	`*-un-lft-identity` `times-frac`
28×	`add-cube-cbrt`
21×	`add-exp-log`
14×	`associate-r`
13×	`add-cbrt-cube`
8×	`pow1`
6×	`associate-/r` `div-exp` `associate-/l` `add-log-exp`
4×	`prod-exp` `insert-posit16`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l` `div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `tan-quot` `associate-*r/` `associate-/r/` `un-div-inv` `frac-sub` `cbrt-unprod` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `flip--`

Counts

4 → 118

Calls

4 calls:

34.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
10.0ms	(/ 1 (sin B))
12.0ms	(/ 1 (tan B))
32.0ms	(* x (/ 1 (tan B)))

series393.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
25.0ms	(/ 1 (sin B))
55.0ms	(/ 1 (tan B))
157.0ms	(* x (/ 1 (tan B)))

simplify1.4s

Counts

130 → 130

Iterations

Iter	Nodes
done	2002
3	2002
2	1193
1	384
0	175

prune550.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes134.0ms

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	12
1	12
0	9

end0.0ms

sample9.8s

Algorithm

intervals

Results

4.0s	1727×	body	1280	valid
2.5s	1406×	body	640	valid
2.0s	4926×	body	80	valid
934.0ms	766×	body	320	valid
245.0ms	343×	body	160	valid