Details

sample368.0ms

Algorithm

intervals

Results

145.0ms	63×	body	1280	valid
56.0ms	50×	body	640	valid
38.0ms	158×	body	80	valid
17.0ms	18×	body	320	valid
4.0ms	8×	body	160	valid

simplify102.0ms

Calls

1 calls:

Slowest

101.0ms

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

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize40.0ms

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)))

rewrite24.0ms

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

14.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
4.0ms	(/ x (tan B))
2.0ms	(/ 1 (sin B))

series308.0ms

Calls

3 calls:

Slowest

157.0ms	(/ x (tan B))
126.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
24.0ms	(/ 1 (sin B))

simplify651.0ms

Calls

24 calls:

Slowest

104.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
102.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
92.0ms	(- (+ (* 1/6 B) (/ 1 B)) (/ x B))
57.0ms	(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
54.0ms	(/ (exp (/ 1 (sin B))) (exp (/ x (tan B))))

prune526.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

7.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
6.0ms	(/ (* x (cos B)) (sin B))
1.0ms	(* x (cos B))
1.0ms	(/ 1 (sin B))

series292.0ms

Calls

4 calls:

Slowest

117.0ms	(/ (* x (cos B)) (sin B))
115.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
47.0ms	(* x (cos B))
13.0ms	(/ 1 (sin B))

simplify1.4s

Calls

43 calls:

Slowest

175.0ms	(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
159.0ms	(/ (* (* (* x (cos B)) (* x (cos B))) (* x (cos B))) (* (* (sin B) (sin B)) (sin B)))
103.0ms	(/ (exp (/ 1 (sin B))) (exp (/ (* x (cos B)) (sin B))))
87.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
82.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))

prune778.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ 1 (/ (tan B) x))
0.2b	(/ (tan B) x)
0.1b	(/ 1 (sin B))
0.0b	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))

rewrite23.0ms

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

12.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
6.0ms	(/ (tan B) x)
2.0ms	(/ 1 (/ (tan B) x))
2.0ms	(/ 1 (sin B))

series321.0ms

Calls

4 calls:

Slowest

118.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
117.0ms	(/ 1 (/ (tan B) x))
65.0ms	(/ (tan B) x)
22.0ms	(/ 1 (sin B))

simplify1.2s

Calls

33 calls:

Slowest

160.0ms	(+ (/ B x) (+ (* 1/3 (/ (pow B 3) x)) (* 2/15 (/ (pow B 5) x))))
102.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
102.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
97.0ms	(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
81.0ms	(/ (exp (/ 1 (sin B))) (exp (/ 1 (/ (tan B) x))))

prune789.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (/ 1 (tan B)) (/ 1 x))
0.2b	(/ 1 (tan B))
0.1b	(/ 1 (sin B))
0.0b	(- (/ 1 (sin B)) (/ (/ 1 (tan B)) (/ 1 x)))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

8.0ms	(- (/ 1 (sin B)) (/ (/ 1 (tan B)) (/ 1 x)))
5.0ms	(/ (/ 1 (tan B)) (/ 1 x))
1.0ms	(/ 1 (tan B))
1.0ms	(/ 1 (sin B))

series270.0ms

Calls

4 calls:

Slowest

106.0ms	(- (/ 1 (sin B)) (/ (/ 1 (tan B)) (/ 1 x)))
99.0ms	(/ (/ 1 (tan B)) (/ 1 x))
44.0ms	(/ 1 (tan B))
21.0ms	(/ 1 (sin B))

simplify3.8s

Calls

80 calls:

Slowest

998.0ms	(/ (* (* (/ 1 (tan B)) (/ 1 (tan B))) (/ 1 (tan B))) (* (* (/ 1 x) (/ 1 x)) (/ 1 x)))
221.0ms	(- (/ 1 B) (+ (* 1/3 B) (* 1/45 (pow B 3))))
198.0ms	(- (/ 1 (sin B)) (/ (/ 1 (tan B)) (/ 1 x)))
182.0ms	(- (/ 1 (sin B)) (/ (/ 1 (tan B)) (/ 1 x)))
151.0ms	(/ (exp (/ 1 (sin B))) (exp (/ (/ 1 (tan B)) (/ 1 x))))

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

regimes101.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample9.0s

Algorithm

intervals

Results

3.2s	1768×	body	1280	valid
2.6s	1423×	body	640	valid
1.7s	4925×	body	80	valid
1.1s	716×	body	320	valid
196.0ms	360×	body	160	valid