Details

sample282.0ms

Algorithm

intervals

Results

91.0ms	65×	body	1280	valid
37.0ms	171×	body	80	valid
29.0ms	33×	body	640	valid
10.0ms	17×	body	320	valid
4.0ms	9×	body	160	valid

simplify3.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
29	4790
28	4572
27	4388
26	4180
25	3967
24	3753
23	3564
22	3407
21	3205
20	3006
19	2833
18	2631
17	2458
16	2289
15	2130
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

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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:

37.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms	(/ 1 (sin B))
7.0ms	(/ x (tan B))

series377.0ms

Counts

3 → 9

Calls

3 calls:

164.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
26.0ms	(/ 1 (sin B))
186.0ms	(/ x (tan B))

simplify1.6s

Counts

294 → 294

Iterations

Iter	Nodes
done	5001
2	1990
1	848
0	381

prune982.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

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))

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:

30.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
8.0ms	(/ x (sin B))
11.0ms	(/ 1 (sin B))
25.0ms	(* (/ x (sin B)) (cos B))

series343.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
70.0ms	(/ x (sin B))
26.0ms	(/ 1 (sin B))
122.0ms	(* (/ x (sin B)) (cos B))

simplify1.7s

Counts

154 → 154

Iterations

Iter	Nodes
done	5006
2	1480
1	433
0	190

prune707.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

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

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
15×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
5×	`pow1` `add-log-exp`
3×	`expm1-log1p-u` `associate-/r` `fma-neg` `associate-r` `associate-l` `prod-diff` `insert-posit16` `log1p-expm1-u` `associate-/l`
2×	`flip3--` `flip--` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `sub-neg` `frac-2neg` `diff-log` `div-sub` `div-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `div-inv` `unswap-sqr`

Counts

3 → 75

Calls

3 calls:

8.0ms	(- 1 (* x (cos B)))
15.0ms	(/ (- 1 (* x (cos B))) (sin B))
8.0ms	(* x (cos B))

series225.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- 1 (* x (cos B)))
121.0ms	(/ (- 1 (* x (cos B))) (sin B))
57.0ms	(* x (cos B))

simplify2.4s

Counts

84 → 84

Iterations

Iter	Nodes
done	5081
3	3022
2	803
1	278
0	123

prune378.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 4 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`cbrt-prod`
18×	`times-frac`
8×	`cbrt-div`
6×	`add-exp-log` `associate-/l*`
5×	`add-cbrt-cube`
4×	`expm1-log1p-u` `pow1` `flip3--` `insert-posit16` `log1p-expm1-u` `flip--` `add-log-exp`
3×	`associate-/r*` `pow1/3`
2×	`associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv`

Counts

4 → 92

Calls

4 calls:

2.0ms	(cbrt (- 1 (* x (cos B))))
2.0ms	(cbrt (- 1 (* x (cos B))))
3.0ms	(cbrt (- 1 (* x (cos B))))
11.0ms	(/ (cbrt (- 1 (* x (cos B)))) (sin B))

series417.0ms

Counts

4 → 12

Calls

4 calls:

90.0ms	(cbrt (- 1 (* x (cos B))))
79.0ms	(cbrt (- 1 (* x (cos B))))
100.0ms	(cbrt (- 1 (* x (cos B))))
148.0ms	(/ (cbrt (- 1 (* x (cos B)))) (sin B))

simplify2.9s

Counts

104 → 104

Iterations

Iter	Nodes
done	5027
3	3904
2	1001
1	340
0	155

prune632.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes122.0ms

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

sample6.3s

Algorithm

intervals

Results

2.8s	1706×	body	1280	valid
1.6s	1398×	body	640	valid
1.0s	4957×	body	80	valid
393.0ms	738×	body	320	valid
133.0ms	389×	body	160	valid