Details

sample299.0ms

Algorithm

intervals

Results

70.0ms	42×	body	640	valid
56.0ms	57×	body	1280	valid
31.0ms	168×	body	80	valid
10.0ms	23×	body	320	valid
2.0ms	9×	body	160	valid

simplify231.0ms

Counts

1 → 1

Iterations

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

prune34.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize62.0ms

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))
0.1b	(/ (* x 1.0) (tan B))

rewrite217.0ms

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` `insert-posit16` `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 → 191

Calls

3 calls:

114.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
16.0ms	(/ 1.0 (sin B))
41.0ms	(/ (* x 1.0) (tan B))

series765.0ms

Counts

3 → 9

Calls

3 calls:

438.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
70.0ms	(/ 1.0 (sin B))
256.0ms	(/ (* x 1.0) (tan B))

simplify3.7s

Counts

200 → 200

Iterations

Iter	Nodes
done	5001
2	1853
1	682
0	288

prune2.6s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize68.0ms

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

rewrite152.0ms

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` `insert-posit16` `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 → 119

Calls

4 calls:

88.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
19.0ms	(* x (cos B))
8.0ms	(/ 1.0 (sin B))
22.0ms	(/ (* x (cos B)) (sin B))

series586.0ms

Counts

4 → 12

Calls

4 calls:

230.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
62.0ms	(* x (cos B))
49.0ms	(/ 1.0 (sin B))
244.0ms	(/ (* x (cos B)) (sin B))

simplify2.9s

Counts

131 → 131

Iterations

Iter	Nodes
done	5001
2	1362
1	424
0	179

prune1.6s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 2 expressions with local error:

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

rewrite74.0ms

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:

23.0ms	(* x (cos B))
46.0ms	(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

series264.0ms

Counts

2 → 6

Calls

2 calls:

73.0ms	(* x (cos B))
190.0ms	(/ (- 1.0 (* 1.0 (* x (cos B)))) (sin B))

simplify5.5s

Counts

60 → 60

Iterations

Iter	Nodes
done	5008
3	2976
2	738
1	246
0	109

prune805.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

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

rewrite148.0ms

Algorithm

rewrite-expression-head

Rules

47×	`add-sqr-sqrt`
46×	`times-frac`
42×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `fma-neg` `associate-r` `prod-diff` `add-exp-log`
6×	`pow1` `associate-/r` `div-inv` `associate-/l` `add-log-exp`
5×	`associate-*r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u`
3×	`cbrt-undiv` `div-exp` `associate-l`
2×	`clear-num` `frac-2neg` `prod-exp` `cbrt-unprod` `unswap-sqr`
1×	`sub-neg` `flip3--` `diff-log` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

4 → 139

Calls

4 calls:

76.0ms	(- (/ 1.0 (sin B)) (* 1.0 (* x (/ (cos B) (sin B)))))
8.0ms	(/ 1.0 (sin B))
14.0ms	(/ (cos B) (sin B))
41.0ms	(* x (/ (cos B) (sin B)))

series652.0ms

Counts

4 → 12

Calls

4 calls:

319.0ms	(- (/ 1.0 (sin B)) (* 1.0 (* x (/ (cos B) (sin B)))))
49.0ms	(/ 1.0 (sin B))
67.0ms	(/ (cos B) (sin B))
216.0ms	(* x (/ (cos B) (sin B)))

simplify3.3s

Counts

151 → 151

Iterations

Iter	Nodes
done	5003
2	1687
1	493
0	204

prune1.6s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

regimes475.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	16
1	16
0	11

end0.0ms

sample6.1s

Algorithm

intervals

Results

3.1s	1772×	body	1280	valid
1.2s	1405×	body	640	valid
1.1s	4963×	body	80	valid
384.0ms	702×	body	320	valid
108.0ms	353×	body	160	valid