Details

sample381.0ms

Algorithm

intervals

Results

60.0ms	50×	body	1280	valid
38.0ms	45×	body	640	valid
30.0ms	160×	body	80	valid
9.0ms	18×	body	320	valid
6.0ms	17×	body	160	valid

simplify172.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	53
5	53
4	50
3	39
2	31
1	18
0	10

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize73.0ms

Local error

Found 4 expressions with local error:

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

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

53.0ms	(- (/ 1.0 (sin B)) (* (/ 1.0 (tan B)) x))
8.0ms	(/ 1.0 (sin B))
9.0ms	(/ 1.0 (tan B))
35.0ms	(* (/ 1.0 (tan B)) x)

series463.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(- (/ 1.0 (sin B)) (* (/ 1.0 (tan B)) x))
36.0ms	(/ 1.0 (sin B))
47.0ms	(/ 1.0 (tan B))
168.0ms	(* (/ 1.0 (tan B)) x)

simplify1.1s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1607
1	406
0	176

prune582.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log`
12×	`times-frac`
6×	`pow1` `associate-/r*` `add-log-exp`
4×	`associate-/l*`
3×	`cbrt-undiv` `div-exp` `associate-r` `associate-l` `div-inv`
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 → 81

Calls

4 calls:

32.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
4.0ms	(/ 1.0 (sin B))
7.0ms	(* x (cos B))
9.0ms	(/ (* x (cos B)) (sin B))

series422.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
39.0ms	(/ 1.0 (sin B))
52.0ms	(* x (cos B))
152.0ms	(/ (* x (cos B)) (sin B))

simplify909.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1464
1	355
0	150

prune491.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `add-cbrt-cube` `add-exp-log`
7×	`pow1`
3×	`associate-/r` `associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `associate-/l`
2×	`add-log-exp` `associate-/l/`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `flip3--` `div-sub` `div-exp` `associate-l` `*-commutative` `div-inv` `flip--`

Counts

2 → 48

Calls

2 calls:

19.0ms	(* (* x 1.0) (cos B))
14.0ms	(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))

series185.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(* (* x 1.0) (cos B))
114.0ms	(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))

simplify915.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	1372
1	267
0	110

prune251.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ 1.0 (sin B))
0.1b	(* x (cos B))
0.2b	(/ (sin B) (* x (cos B)))
0.3b	(/ 1 (/ (sin B) (* x (cos B))))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

45×	`times-frac`
34×	`add-sqr-sqrt` `add-exp-log`
32×	`*-un-lft-identity` `add-cube-cbrt`
22×	`add-cbrt-cube`
15×	`div-exp`
11×	`associate-/r*`
9×	`associate-/l*`
8×	`cbrt-undiv`
7×	`pow1` `div-inv`
5×	`prod-exp`
4×	`add-log-exp`
3×	`rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-r` `associate-l` `cbrt-unprod`
1×	`pow-prod-down` `associate-/r/` `*-commutative` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 122

Calls

4 calls:

4.0ms	(/ 1.0 (sin B))
6.0ms	(* x (cos B))
17.0ms	(/ (sin B) (* x (cos B)))
27.0ms	(/ 1 (/ (sin B) (* x (cos B))))

series317.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(/ 1.0 (sin B))
48.0ms	(* x (cos B))
110.0ms	(/ (sin B) (* x (cos B)))
121.0ms	(/ 1 (/ (sin B) (* x (cos B))))

simplify1.3s

Counts

134 → 134

Iterations

Iter	Nodes
done	5000
2	1678
1	451
0	197

prune573.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes143.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.4s	1686×	body	1280	valid
1.7s	1451×	body	640	valid
1.1s	4889×	body	80	valid
396.0ms	675×	body	320	valid
120.0ms	358×	body	160	valid