Details

sample150.0ms

Algorithm

intervals

Results

72.0ms	56×	body	1280	valid
23.0ms	38×	body	640	valid
21.0ms	156×	body	80	valid
10.0ms	27×	body	320	valid
5.0ms	17×	body	160	valid

simplify26.0ms

Counts

1 → 1

Iterations

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize19.0ms

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))
0.1b	(/ 1.0 (tan B))
0.3b	(* (/ 1.0 (tan B)) x)

rewrite55.0ms

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:

19.0ms	(- (/ 1.0 (sin B)) (* (/ 1.0 (tan B)) x))
4.0ms	(/ 1.0 (sin B))
5.0ms	(/ 1.0 (tan B))
26.0ms	(* (/ 1.0 (tan B)) x)

series290.0ms

Counts

4 → 12

Calls

4 calls:

135.0ms	(- (/ 1.0 (sin B)) (* (/ 1.0 (tan B)) x))
20.0ms	(/ 1.0 (sin B))
40.0ms	(/ 1.0 (tan B))
95.0ms	(* (/ 1.0 (tan B)) x)

simplify1.0s

Counts

113 → 113

Iterations

Iter	Nodes
done	5001
2	1607
1	406
0	176

prune603.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

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

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
18×	`times-frac`
7×	`add-cbrt-cube` `add-exp-log`
6×	`associate-/r` `associate-/l`
5×	`add-log-exp`
3×	`pow1` `div-inv`
2×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp`
1×	`sub-neg` `flip3--` `diff-log` `tan-quot` `associate-*r/` `associate-/r/` `frac-sub` `flip--` `distribute-lft-out--`

Counts

3 → 69

Calls

3 calls:

19.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ x (tan B))))
8.0ms	(/ 1.0 (sin B))
14.0ms	(/ x (tan B))

series319.0ms

Counts

3 → 9

Calls

3 calls:

167.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ x (tan B))))
20.0ms	(/ 1.0 (sin B))
131.0ms	(/ x (tan B))

simplify740.0ms

Counts

78 → 78

Iterations

Iter	Nodes
done	5001
2	1005
1	317
0	149

prune426.0ms

Pruning

8 alts after pruning (7 fresh and 1 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))

rewrite64.0ms

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:

29.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
7.0ms	(/ 1.0 (sin B))
11.0ms	(* x (cos B))
16.0ms	(/ (* x (cos B)) (sin B))

series315.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(- (/ 1.0 (sin B)) (* 1.0 (/ (* x (cos B)) (sin B))))
20.0ms	(/ 1.0 (sin B))
39.0ms	(* x (cos B))
125.0ms	(/ (* x (cos B)) (sin B))

simplify1.0s

Counts

93 → 93

Iterations

Iter	Nodes
done	5000
2	1464
1	355
0	150

prune419.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 89

Calls

4 calls:

37.0ms	(- (/ 1.0 (sin B)) (* (* 1.0 (/ x (sin B))) (cos B)))
7.0ms	(/ 1.0 (sin B))
4.0ms	(/ x (sin B))
26.0ms	(* (* 1.0 (/ x (sin B))) (cos B))

series403.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(- (/ 1.0 (sin B)) (* (* 1.0 (/ x (sin B))) (cos B)))
21.0ms	(/ 1.0 (sin B))
62.0ms	(/ x (sin B))
165.0ms	(* (* 1.0 (/ x (sin B))) (cos B))

simplify1.5s

Counts

101 → 101

Iterations

Iter	Nodes
done	5001
2	1898
1	403
0	169

prune590.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes137.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Iter	Nodes
done	10
1	10
0	9

end0.0ms

sample6.1s

Algorithm

intervals

Results

2.0s	1680×	body	1280	valid
1.8s	4898×	body	80	valid
1.3s	1489×	body	640	valid
439.0ms	718×	body	320	valid
111.0ms	344×	body	160	valid