Details

sample135.0ms

Algorithm

intervals

Results

52.0ms	57×	body	1280	valid
30.0ms	47×	body	640	valid
24.0ms	150×	body	80	valid
8.0ms	18×	body	320	valid
4.0ms	14×	body	160	valid

simplify70.0ms

Counts

1 → 1

Iterations

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

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

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))

rewrite73.0ms

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:

46.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
6.0ms	(/ 1.0 (sin B))
12.0ms	(/ (* x 1.0) (tan B))

series308.0ms

Counts

3 → 9

Calls

3 calls:

133.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
28.0ms	(/ 1.0 (sin B))
147.0ms	(/ (* x 1.0) (tan B))

simplify1.5s

Counts

197 → 197

Iterations

Iter	Nodes
done	5000
2	1836
1	680
0	285

prune1.2s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.1b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (tan B))
0.3b	(* x (/ 1.0 (tan B)))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 135

Calls

4 calls:

36.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
5.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1.0 (tan B))
29.0ms	(* x (/ 1.0 (tan B)))

series397.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
35.0ms	(/ 1.0 (sin B))
57.0ms	(/ 1.0 (tan B))
147.0ms	(* x (/ 1.0 (tan B)))

simplify1.2s

Counts

147 → 147

Iterations

Iter	Nodes
done	5011
2	1510
1	473
0	200

prune870.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
0.1b	(* x (cos B))
0.1b	(/ 1.0 (sin B))
0.3b	(/ (* 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`
5×	`div-inv`
4×	`expm1-log1p-u` `log1p-expm1-u` `associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l`
2×	`clear-num` `frac-2neg` `prod-exp` `associate-*r/` `cbrt-unprod`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div` `unswap-sqr`

Counts

4 → 115

Calls

4 calls:

48.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
7.0ms	(* x (cos B))
4.0ms	(/ 1.0 (sin B))
10.0ms	(/ (* x (cos B)) (sin B))

series373.0ms

Counts

4 → 12

Calls

4 calls:

168.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
62.0ms	(* x (cos B))
21.0ms	(/ 1.0 (sin B))
122.0ms	(/ (* x (cos B)) (sin B))

simplify1.9s

Counts

127 → 127

Iterations

Iter	Nodes
done	5004
2	1300
1	419
0	175

prune872.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize54.0ms

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)))

rewrite49.0ms

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:

7.0ms	(* x (cos B))
5.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1 (sin B))
29.0ms	(* (* x (cos B)) (/ 1 (sin B)))

series258.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* x (cos B))
37.0ms	(/ 1.0 (sin B))
15.0ms	(/ 1 (sin B))
158.0ms	(* (* x (cos B)) (/ 1 (sin B)))

simplify3.0s

Counts

134 → 134

Iterations

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

prune510.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes177.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	17
1	17
0	12

end0.0ms

sample6.2s

Algorithm

intervals

Results

3.1s	1763×	body	1280	valid
1.3s	1421×	body	640	valid
881.0ms	4879×	body	80	valid
516.0ms	750×	body	320	valid
176.0ms	357×	body	160	valid