Details

sample228.0ms

Algorithm

intervals

Results

83.0ms	60×	body	1280	valid
47.0ms	23×	body	320	valid
46.0ms	47×	body	640	valid
35.0ms	151×	body	80	valid
7.0ms	14×	body	160	valid

simplify89.0ms

Calls

1 calls:

Slowest

89.0ms

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

prune10.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize15.0ms

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)))

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))

series271.0ms

Calls

3 calls:

Slowest

135.0ms	(/ x (tan B))
116.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
20.0ms	(/ 1 (sin B))

simplify520.0ms

Calls

24 calls:

Slowest

74.0ms	(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
68.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
68.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
56.0ms	(- (+ (* 1/6 B) (/ 1 B)) (/ x B))
50.0ms	(/ (exp (/ 1 (sin B))) (exp (/ x (tan B))))

prune515.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

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

8.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
5.0ms	(* (/ x (sin B)) (cos B))
1.0ms	(/ 1 (sin B))
0.0ms	(/ x (sin B))

series310.0ms

Calls

4 calls:

Slowest

129.0ms	(* (/ x (sin B)) (cos B))
101.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
66.0ms	(/ x (sin B))
14.0ms	(/ 1 (sin B))

simplify863.0ms

Calls

33 calls:

Slowest

188.0ms	(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
120.0ms	(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
78.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
67.0ms	(/ (exp (/ 1 (sin B))) (exp (* (/ x (sin B)) (cos B))))
65.0ms	(- (+ (* 1/6 B) (/ 1 B)) (/ x B))

prune751.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize1.0ms

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)))

rewrite25.0ms

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

13.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
8.0ms	(* (/ x (sin B)) (cos B))
2.0ms	(/ 1 (sin B))
1.0ms	(/ x (sin B))

series321.0ms

Calls

4 calls:

Slowest

126.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
112.0ms	(* (/ x (sin B)) (cos B))
59.0ms	(/ x (sin B))
24.0ms	(/ 1 (sin B))

simplify1.1s

Calls

33 calls:

Slowest

227.0ms	(- (* 1 (sin B)) (* (sin B) (* x (cos B))))
165.0ms	(* (* (* (/ x (sin B)) (/ x (sin B))) (/ x (sin B))) (* (* (cos B) (cos B)) (cos B)))
121.0ms	(/ (exp (/ 1 (sin B))) (exp (* (/ x (sin B)) (cos B))))
88.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
74.0ms	(- (/ x B) (* 1/3 (* x B)))

prune859.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite17.0ms

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

10.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
3.0ms	(* x (/ 1 (tan B)))
2.0ms	(/ 1 (tan B))
2.0ms	(/ 1 (sin B))

series319.0ms

Calls

4 calls:

Slowest

145.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
132.0ms	(* x (/ 1 (tan B)))
27.0ms	(/ 1 (tan B))
15.0ms	(/ 1 (sin B))

simplify875.0ms

Calls

33 calls:

Slowest

230.0ms	(- (/ 1 B) (+ (* 1/3 B) (* 1/45 (pow B 3))))
81.0ms	(/ (exp (/ 1 (sin B))) (exp (* x (/ 1 (tan B)))))
69.0ms	(+ (* 1/6 B) (+ (/ 1 B) (* 7/360 (pow B 3))))
68.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
67.0ms	(- (/ x B) (* 1/3 (* x B)))

prune680.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes133.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample8.7s

Algorithm

intervals

Results

3.5s	1692×	body	1280	valid
2.2s	4912×	body	80	valid
2.0s	1450×	body	640	valid
551.0ms	718×	body	320	valid
220.0ms	358×	body	160	valid