Details

sample598.0ms

Algorithm

intervals

Results

197.0ms	55×	body	1280	valid
122.0ms	47×	body	640	valid
63.0ms	153×	body	80	valid
19.0ms	13×	body	320	valid
17.0ms	20×	body	160	valid

simplify135.0ms

Calls

1 calls:

Slowest

134.0ms

(+ (- (* x (/ 1 (tan B)))) (/ 1 (sin B)))

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize17.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (tan B))
0.1b	(/ 1 (sin B))
0.0b	(- (/ 1 (sin B)) (/ x (tan B)))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`associate-/r*`
5×	`add-cube-cbrt` `add-log-exp`
4×	`pow1` `add-exp-log`
3×	`add-cbrt-cube` `insert-posit16` `div-inv`
2×	`clear-num` `frac-2neg` `distribute-lft-out--`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `tan-quot` `associate-/r/` `frac-sub` `pow-flip` `flip--` `inv-pow` `difference-of-squares`

Calls

3 calls:

Slowest

7.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
2.0ms	(/ x (tan B))
1.0ms	(/ 1 (sin B))

series471.0ms

Calls

3 calls:

Slowest

345.0ms	(/ x (tan B))
108.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
17.0ms	(/ 1 (sin B))

simplify542.0ms

Calls

24 calls:

Slowest

103.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
100.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
52.0ms	(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
48.0ms	(- (+ (* 1/6 B) (/ 1 B)) (/ x B))
39.0ms	(/ (exp (/ 1 (sin B))) (exp (/ x (tan B))))

prune580.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ x (sin B)) (cos B))
0.1b	(/ 1 (sin B))
0.1b	(/ x (sin B))
0.0b	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
7×	`pow1` `add-exp-log`
6×	`associate-/r*` `add-cbrt-cube` `add-log-exp`
4×	`associate-l` `insert-posit16`
3×	`associate-r` `associate-*l/` `div-inv`
2×	`clear-num` `frac-2neg`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `pow-prod-down` `prod-exp` `*-commutative` `frac-sub` `cbrt-unprod` `pow-flip` `flip--` `inv-pow` `sub-div`

Calls

4 calls:

Slowest

7.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
4.0ms	(* (/ x (sin B)) (cos B))
1.0ms	(/ 1 (sin B))
0.0ms	(/ x (sin B))

series364.0ms

Calls

4 calls:

Slowest

149.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
139.0ms	(* (/ x (sin B)) (cos B))
58.0ms	(/ x (sin B))
17.0ms	(/ 1 (sin B))

simplify1.1s

Calls

33 calls:

Slowest

235.0ms	(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
176.0ms	(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
88.0ms	(- (+ (* 1/6 B) (/ 1 B)) (/ x B))
78.0ms	(- (/ x B) (* 1/3 (* x B)))
73.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))

prune739.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ 1 (/ (tan B) x))
0.1b	(/ 1 (sin B))
0.1b	(/ (tan B) x)
0.0b	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

11×	`*-un-lft-identity`
9×	`add-sqr-sqrt`
8×	`div-inv`
7×	`associate-/r*` `add-cube-cbrt`
6×	`pow1` `add-exp-log` `add-log-exp`
4×	`add-cbrt-cube` `insert-posit16` `distribute-lft-out--`
3×	`clear-num` `frac-2neg` `associate-/l*`
2×	`rec-exp` `pow-flip` `inv-pow`
1×	`sub-neg` `flip3--` `diff-log` `tan-quot` `associate-/r/` `frac-sub` `flip--` `difference-of-squares` `associate-/l/`

Calls

4 calls:

Slowest

5.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
3.0ms	(/ (tan B) x)
1.0ms	(/ 1 (/ (tan B) x))
1.0ms	(/ 1 (sin B))

series376.0ms

Calls

4 calls:

Slowest

156.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
120.0ms	(/ 1 (/ (tan B) x))
79.0ms	(/ (tan B) x)
21.0ms	(/ 1 (sin B))

simplify1.3s

Calls

33 calls:

Slowest

135.0ms	(+ (/ B x) (+ (* 1/3 (/ (pow B 3) x)) (* 2/15 (/ (pow B 5) x))))
100.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
100.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
99.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
95.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))

prune812.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 3 expressions with local error:

0.1b	(/ x (tan B))
0.1b	(/ 1 (sin B))
0.0b	(- (/ 1 (sin B)) (/ x (tan B)))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

8×	`*-un-lft-identity`
7×	`add-sqr-sqrt`
6×	`associate-/r*`
5×	`add-cube-cbrt` `add-log-exp`
4×	`pow1` `add-exp-log`
3×	`add-cbrt-cube` `insert-posit16` `div-inv`
2×	`clear-num` `frac-2neg` `distribute-lft-out--`
1×	`rec-exp` `sub-neg` `flip3--` `diff-log` `tan-quot` `associate-/r/` `frac-sub` `pow-flip` `flip--` `inv-pow` `difference-of-squares`

Calls

3 calls:

Slowest

6.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
1.0ms	(/ 1 (sin B))
1.0ms	(/ x (tan B))

series298.0ms

Calls

3 calls:

Slowest

150.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
134.0ms	(/ x (tan B))
14.0ms	(/ 1 (sin B))

simplify581.0ms

Calls

24 calls:

Slowest

79.0ms	(- (+ (* 1/6 B) (/ 1 B)) (/ x B))
66.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
64.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
57.0ms	(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
51.0ms	(- (/ x B) (* 1/3 (* x B)))

prune612.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch2.0ms

end0.0ms

sample9.4s

Algorithm

intervals

Results

3.4s	1722×	body	1280	valid
2.3s	1418×	body	640	valid
2.1s	4971×	body	80	valid
1.1s	679×	body	320	valid
252.0ms	396×	body	160	valid