Details

sample397.0ms

Algorithm

intervals

Results

103.0ms	60×	body	1280	valid
74.0ms	151×	body	80	valid
45.0ms	47×	body	640	valid
17.0ms	23×	body	320	valid
6.0ms	14×	body	160	valid

simplify736.0ms

Calls

1 calls:

Slowest

735.0ms

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

prune24.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize44.0ms

Local error

Found 3 expressions with local error:

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

rewrite19.0ms

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

11.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
3.0ms	(/ x (tan B))
2.0ms	(/ 1 (sin B))

series340.0ms

Calls

3 calls:

Slowest

188.0ms	(/ x (tan B))
129.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
23.0ms	(/ 1 (sin B))

simplify639.0ms

Calls

24 calls:

Slowest

100.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
82.0ms	(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
80.0ms	(- (/ x B) (* 1/3 (* x B)))
56.0ms	(/ (exp (/ 1 (sin B))) (exp (/ x (tan B))))
54.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))

prune617.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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)))

rewrite28.0ms

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

15.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
9.0ms	(* (/ x (sin B)) (cos B))
2.0ms	(/ 1 (sin B))
1.0ms	(/ x (sin B))

series387.0ms

Calls

4 calls:

Slowest

152.0ms	(* (/ x (sin B)) (cos B))
124.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
89.0ms	(/ x (sin B))
21.0ms	(/ 1 (sin B))

simplify1.1s

Calls

33 calls:

Slowest

252.0ms	(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
193.0ms	(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
88.0ms	(/ (exp (/ 1 (sin B))) (exp (* (/ x (sin B)) (cos B))))
76.0ms	(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
63.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))

prune753.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize2.0ms

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)))

rewrite21.0ms

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

11.0ms	(* (/ x (sin B)) (cos B))
7.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
2.0ms	(/ 1 (sin B))
1.0ms	(/ x (sin B))

series394.0ms

Calls

4 calls:

Slowest

162.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
117.0ms	(* (/ x (sin B)) (cos B))
90.0ms	(/ x (sin B))
25.0ms	(/ 1 (sin B))

simplify1.1s

Calls

33 calls:

Slowest

221.0ms	(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
164.0ms	(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
91.0ms	(/ (exp (/ 1 (sin B))) (exp (* (/ x (sin B)) (cos B))))
84.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
74.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))

prune781.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b	(* x (/ 1 (tan B)))
0.2b	(/ 1 (tan B))
0.1b	(/ 1 (sin B))
0.0b	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

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

Calls

4 calls:

Slowest

11.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
3.0ms	(* x (/ 1 (tan B)))
2.0ms	(/ 1 (tan B))
2.0ms	(/ 1 (sin B))

series380.0ms

Calls

4 calls:

Slowest

170.0ms	(* x (/ 1 (tan B)))
155.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
31.0ms	(/ 1 (tan B))
24.0ms	(/ 1 (sin B))

simplify872.0ms

Calls

33 calls:

Slowest

208.0ms	(- (/ 1 B) (+ (* 1/3 B) (* 1/45 (pow B 3))))
87.0ms	(/ (exp (/ 1 (sin B))) (exp (* x (/ 1 (tan B)))))
79.0ms	(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
75.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
75.0ms	(- (+ (* 1/6 B) (/ 1 B)) (/ x B))

prune687.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes99.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample8.3s

Algorithm

intervals

Results

2.9s	1692×	body	1280	valid
2.8s	1450×	body	640	valid
1.4s	4912×	body	80	valid
832.0ms	718×	body	320	valid
221.0ms	358×	body	160	valid