Details

sample721.0ms

Algorithm

intervals

Results

216.0ms	55×	body	1280	valid
126.0ms	158×	body	80	valid
73.0ms	33×	body	320	valid
70.0ms	39×	body	640	valid
6.0ms	7×	body	160	valid

simplify1.6s

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

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

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))

rewrite98.0ms

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:

61.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
10.0ms	(/ x (tan B))
15.0ms	(/ 1 (sin B))

series356.0ms

Counts

3 → 9

Calls

3 calls:

140.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
180.0ms	(/ x (tan B))
35.0ms	(/ 1 (sin B))

simplify1.1s

Counts

294 → 294

Iterations

Iter	Nodes
done	2000
2	2000
1	848
0	381

prune1.1s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize42.0ms

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))

rewrite95.0ms

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:

42.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
9.0ms	(/ x (sin B))
11.0ms	(/ 1 (sin B))
31.0ms	(* (/ x (sin B)) (cos B))

series395.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
85.0ms	(/ x (sin B))
14.0ms	(/ 1 (sin B))
135.0ms	(* (/ x (sin B)) (cos B))

simplify1.3s

Counts

154 → 154

Iterations

Iter	Nodes
done	2001
3	2001
2	1480
1	433
0	190

prune831.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize34.0ms

Local error

Found 2 expressions with local error:

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

rewrite37.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 54

Calls

2 calls:

22.0ms	(/ (- 1 (* x (cos B))) (sin B))
14.0ms	(* x (cos B))

series171.0ms

Counts

2 → 6

Calls

2 calls:

118.0ms	(/ (- 1 (* x (cos B))) (sin B))
53.0ms	(* x (cos B))

simplify1.2s

Counts

60 → 60

Iterations

Iter	Nodes
done	2015
3	2015
2	663
1	216
0	100

prune372.0ms

Pruning

7 alts after pruning (5 fresh and 2 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)))

rewrite62.0ms

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:

22.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
5.0ms	(/ 1 (sin B))
6.0ms	(/ 1 (tan B))
26.0ms	(* x (/ 1 (tan B)))

series374.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
22.0ms	(/ 1 (sin B))
47.0ms	(/ 1 (tan B))
150.0ms	(* x (/ 1 (tan B)))

simplify1.4s

Counts

164 → 164

Iterations

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

prune793.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes115.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	10
1	10
0	8

end0.0ms

sample10.2s

Algorithm

intervals

Results

3.7s	1727×	body	1280	valid
2.9s	1406×	body	640	valid
2.2s	4926×	body	80	valid
813.0ms	766×	body	320	valid
253.0ms	343×	body	160	valid