Details

sample250.0ms

Algorithm

intervals

Results

89.0ms	45×	body	640	valid
50.0ms	50×	body	1280	valid
28.0ms	160×	body	80	valid
7.0ms	18×	body	320	valid
5.0ms	17×	body	160	valid

simplify55.0ms

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize60.0ms

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)

rewrite98.0ms

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:

40.0ms	(- (/ 1.0 (sin B)) (* (/ 1.0 (tan B)) x))
9.0ms	(/ 1.0 (sin B))
10.0ms	(/ 1.0 (tan B))
32.0ms	(* (/ 1.0 (tan B)) x)

series424.0ms

Counts

4 → 12

Calls

4 calls:

223.0ms	(- (/ 1.0 (sin B)) (* (/ 1.0 (tan B)) x))
21.0ms	(/ 1.0 (sin B))
43.0ms	(/ 1.0 (tan B))
136.0ms	(* (/ 1.0 (tan B)) x)

simplify900.0ms

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1607
1	406
0	176

prune751.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

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))

rewrite84.0ms

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:

39.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
9.0ms	(/ 1.0 (sin B))
13.0ms	(* x (cos B))
19.0ms	(/ (* x (cos B)) (sin B))

series374.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
21.0ms	(/ 1.0 (sin B))
42.0ms	(* x (cos B))
147.0ms	(/ (* x (cos B)) (sin B))

simplify881.0ms

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1464
1	355
0	150

prune510.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

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))

rewrite48.0ms

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:

24.0ms	(* (* x 1.0) (cos B))
23.0ms	(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))

series184.0ms

Counts

2 → 6

Calls

2 calls:

63.0ms	(* (* x 1.0) (cos B))
121.0ms	(/ (- 1.0 (* (* x 1.0) (cos B))) (sin B))

simplify794.0ms

Counts

54 → 54

Iterations

Iter	Nodes
done	5000
2	1372
1	267
0	110

prune213.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

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

rewrite52.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac`
56×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
21×	`add-exp-log`
18×	`associate-/r*`
15×	`add-cbrt-cube`
11×	`associate-/r/`
9×	`pow1`
8×	`div-exp`
6×	`div-inv` `associate-/l*`
5×	`flip3--` `flip--`
4×	`cbrt-undiv`
3×	`associate-r` `pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`associate-l` `*-commutative` `pow-flip` `inv-pow`

Counts

3 → 131

Calls

3 calls:

11.0ms	(/ (sin B) (- 1.0 (* (* x 1.0) (cos B))))
16.0ms	(* (* x 1.0) (cos B))
16.0ms	(/ 1 (/ (sin B) (- 1.0 (* (* x 1.0) (cos B)))))

series292.0ms

Counts

3 → 9

Calls

3 calls:

112.0ms	(/ (sin B) (- 1.0 (* (* x 1.0) (cos B))))
59.0ms	(* (* x 1.0) (cos B))
121.0ms	(/ 1 (/ (sin B) (- 1.0 (* (* x 1.0) (cos B)))))

simplify1.8s

Counts

140 → 140

Iterations

Iter	Nodes
done	5000
2	3852
1	639
0	245

prune541.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample6.0s

Algorithm

intervals

Results

2.5s	1686×	body	1280	valid
1.6s	1451×	body	640	valid
928.0ms	4889×	body	80	valid
440.0ms	675×	body	320	valid
161.0ms	358×	body	160	valid