Details

sample304.0ms

Algorithm

intervals

Results

89.0ms	68×	body	1280	valid
76.0ms	48×	body	640	valid
29.0ms	142×	body	80	valid
13.0ms	20×	body	320	valid
2.0ms	5×	body	160	valid

simplify1.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	2000
15	2000
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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize21.0ms

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))

rewrite71.0ms

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))
13.0ms	(/ x (tan B))

series342.0ms

Counts

3 → 9

Calls

3 calls:

153.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
27.0ms	(/ 1 (sin B))
162.0ms	(/ x (tan B))

simplify1.2s

Counts

294 → 294

Iterations

Iter	Nodes
done	2011
3	2011
2	1990
1	848
0	381

prune3.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

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

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
46×	`times-frac`
42×	`*-un-lft-identity` `add-cube-cbrt`
15×	`add-exp-log`
13×	`add-cbrt-cube` `fma-neg` `associate-l` `prod-diff`
7×	`pow1`
6×	`associate-/r` `associate-/l` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `div-exp` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `associate-r` `associate-*l/`
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 → 142

Calls

4 calls:

25.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
9.0ms	(/ 1 (sin B))
10.0ms	(/ x (sin B))
30.0ms	(* (/ x (sin B)) (cos B))

series456.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
26.0ms	(/ 1 (sin B))
95.0ms	(/ x (sin B))
179.0ms	(* (/ x (sin B)) (cos B))

simplify1.2s

Counts

154 → 154

Iterations

Iter	Nodes
done	2009
3	2009
2	1482
1	433
0	190

prune1.6s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize42.0ms

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)))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

49×	`add-sqr-sqrt`
47×	`times-frac`
43×	`*-un-lft-identity`
42×	`add-cube-cbrt`
21×	`add-exp-log`
14×	`associate-r`
13×	`add-cbrt-cube` `fma-neg` `prod-diff`
8×	`pow1`
6×	`associate-/r` `div-exp` `associate-/l` `add-log-exp`
5×	`div-inv`
4×	`expm1-log1p-u` `prod-exp` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `rec-exp` `1-exp` `associate-l` `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 → 152

Calls

4 calls:

44.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
11.0ms	(/ 1 (sin B))
13.0ms	(/ 1 (tan B))
28.0ms	(* x (/ 1 (tan B)))

series354.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
15.0ms	(/ 1 (sin B))
40.0ms	(/ 1 (tan B))
128.0ms	(* x (/ 1 (tan B)))

simplify1.1s

Counts

164 → 164

Iterations

Iter	Nodes
done	2017
3	2017
2	1400
1	447
0	199

prune1.7s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1 (sin B))
0.1b	(/ 1 (sin B))
0.2b	(* (/ 1 (sin B)) (cos B))
0.3b	(* x (* (/ 1 (sin B)) (cos B)))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `add-exp-log`
30×	`*-un-lft-identity`
29×	`times-frac` `add-cube-cbrt`
22×	`add-cbrt-cube`
16×	`associate-l`
13×	`pow1` `prod-exp`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`associate-/r` `associate-/l`
4×	`expm1-log1p-u` `cbrt-undiv` `rec-exp` `1-exp` `associate-r` `pow-prod-down` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-l/` `-commutative` `pow-flip` `inv-pow`
1×	`associate-*r/`

Counts

4 → 132

Calls

4 calls:

5.0ms	(/ 1 (sin B))
5.0ms	(/ 1 (sin B))
23.0ms	(* (/ 1 (sin B)) (cos B))
40.0ms	(* x (* (/ 1 (sin B)) (cos B)))

series183.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(/ 1 (sin B))
20.0ms	(/ 1 (sin B))
31.0ms	(* (/ 1 (sin B)) (cos B))
119.0ms	(* x (* (/ 1 (sin B)) (cos B)))

simplify1.4s

Counts

144 → 144

Iterations

Iter	Nodes
done	2000
3	2000
2	974
1	335
0	143

prune1.5s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes171.0ms

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

sample8.6s

Algorithm

intervals

Results

3.4s	1736×	body	1280	valid
2.6s	1424×	body	640	valid
1.5s	4880×	body	80	valid
616.0ms	732×	body	320	valid
291.0ms	361×	body	160	valid