Details

sample318.0ms

Algorithm

intervals

Results

104.0ms	52×	body	1280	valid
41.0ms	54×	body	640	valid
28.0ms	148×	body	80	valid
12.0ms	23×	body	320	valid
5.0ms	13×	body	160	valid

simplify49.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	56
6	56
5	54
4	48
3	41
2	33
1	18
0	10

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

Local error

Found 3 expressions with local error:

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

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

133×	`times-frac`
107×	`add-sqr-sqrt`
104×	`*-un-lft-identity` `prod-diff`
102×	`add-cube-cbrt`
24×	`div-inv`
14×	`tan-quot` `associate-/r/`
13×	`fma-neg`
10×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`expm1-log1p-u` `pow1` `cbrt-undiv` `div-exp` `log1p-expm1-u`
2×	`clear-num` `frac-2neg` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `prod-exp` `frac-sub` `cbrt-unprod` `flip--` `distribute-lft-out--`

Counts

3 → 188

Calls

3 calls:

32.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
4.0ms	(/ 1.0 (sin B))
11.0ms	(/ (* x 1.0) (tan B))

series427.0ms

Counts

3 → 9

Calls

3 calls:

188.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
38.0ms	(/ 1.0 (sin B))
201.0ms	(/ (* x 1.0) (tan B))

simplify2.0s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
2	1836
1	680
0	285

prune1.4s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
0.1b	(/ 1.0 (sin B))
0.1b	(/ (tan B) (* x 1.0))
0.3b	(/ 1 (/ (tan B) (* x 1.0)))

rewrite137.0ms

Algorithm

rewrite-expression-head

Rules

687×	`times-frac`
418×	`add-sqr-sqrt`
410×	`*-un-lft-identity`
401×	`add-cube-cbrt`
338×	`prod-diff`
87×	`div-inv`
32×	`add-exp-log`
20×	`add-cbrt-cube`
15×	`div-exp`
14×	`associate-/r/`
13×	`fma-neg`
11×	`associate-/r*`
9×	`associate-/l*`
8×	`cbrt-undiv`
6×	`add-log-exp` `difference-of-squares`
5×	`pow1`
4×	`expm1-log1p-u` `prod-exp` `log1p-expm1-u`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `distribute-lft-out--`
2×	`cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `tan-quot` `frac-sub` `pow-flip` `flip--` `inv-pow` `associate-/l/`

Counts

4 → 486

Calls

4 calls:

69.0ms	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
4.0ms	(/ 1.0 (sin B))
7.0ms	(/ (tan B) (* x 1.0))
16.0ms	(/ 1 (/ (tan B) (* x 1.0)))

series448.0ms

Counts

4 → 12

Calls

4 calls:

169.0ms	(- (/ 1.0 (sin B)) (/ 1 (/ (tan B) (* x 1.0))))
42.0ms	(/ 1.0 (sin B))
76.0ms	(/ (tan B) (* x 1.0))
160.0ms	(/ 1 (/ (tan B) (* x 1.0)))

simplify2.5s

Counts

498 → 498

Iterations

Iter	Nodes
done	5004
2	3390
1	1571
0	664

prune3.4s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

32×	`add-sqr-sqrt`
30×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
13×	`add-cbrt-cube` `fma-neg` `prod-diff` `add-exp-log`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`expm1-log1p-u` `log1p-expm1-u` `div-inv` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
2×	`clear-num` `frac-2neg` `associate-*l/` `prod-exp` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `sub-div` `unswap-sqr`

Counts

4 → 114

Calls

4 calls:

26.0ms	(- (/ 1.0 (sin B)) (* (/ (* x (cos B)) (sin B)) 1.0))
13.0ms	(* x (cos B))
8.0ms	(/ 1.0 (sin B))
25.0ms	(/ (* x (cos B)) (sin B))

series409.0ms

Counts

4 → 12

Calls

4 calls:

177.0ms	(- (/ 1.0 (sin B)) (* (/ (* x (cos B)) (sin B)) 1.0))
71.0ms	(* x (cos B))
22.0ms	(/ 1.0 (sin B))
138.0ms	(/ (* x (cos B)) (sin B))

simplify1.7s

Counts

126 → 126

Iterations

Iter	Nodes
done	5002
2	1351
1	413
0	173

prune853.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* x (cos B))
0.1b	(/ 1.0 (sin B))
0.1b	(/ 1 (sin B))
0.3b	(* (* x (cos B)) (/ 1 (sin B)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

6.0ms	(* x (cos B))
4.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1 (sin B))
22.0ms	(* (* x (cos B)) (/ 1 (sin B)))

series278.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(* x (cos B))
38.0ms	(/ 1.0 (sin B))
26.0ms	(/ 1 (sin B))
173.0ms	(* (* x (cos B)) (/ 1 (sin B)))

simplify2.7s

Counts

134 → 134

Iterations

Iter	Nodes
done	5003
3	3820
2	1254
1	410
0	176

prune559.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes222.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	14
1	14
0	11

end0.0ms

sample6.6s

Algorithm

intervals

Results

2.8s	1710×	body	1280	valid
1.5s	1422×	body	640	valid
897.0ms	4905×	body	80	valid
697.0ms	379×	body	160	valid
393.0ms	700×	body	320	valid