Details

sample218.0ms

Algorithm

intervals

Results

75.0ms	55×	body	1280	valid
62.0ms	150×	body	80	valid
49.0ms	45×	body	640	valid
15.0ms	21×	body	320	valid
4.0ms	9×	body	160	valid

simplify399.0ms

Counts: 1 → 1

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 3 expressions with local error:

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

rewrite36.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 84

Calls

3 calls:

Slowest

23.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
6.0ms	(/ x (tan B))
5.0ms	(/ 1 (sin B))

series301.0ms

Counts

3 → 9

Calls

3 calls:

Slowest

146.0ms	(/ x (tan B))
134.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
20.0ms	(/ 1 (sin B))

simplify688.0ms

Counts: 93 → 93

prune760.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 108

Calls

4 calls:

Slowest

32.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
20.0ms	(* (/ x (sin B)) (cos B))
7.0ms	(/ 1 (sin B))
6.0ms	(/ x (sin B))

series310.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(* (/ x (sin B)) (cos B))
110.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
60.0ms	(/ x (sin B))
20.0ms	(/ 1 (sin B))

simplify1.2s

Counts: 120 → 120

prune941.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 50

Calls

2 calls:

Slowest

21.0ms	(/ (- 1 (* x (cos B))) (sin B))
7.0ms	(* x (cos B))

series138.0ms

Counts

2 → 6

Calls

2 calls:

Slowest

82.0ms	(/ (- 1 (* x (cos B))) (sin B))
56.0ms	(* x (cos B))

simplify2.5s

Counts: 56 → 56

prune516.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize44.0ms

Local error

Found 4 expressions with local error:

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

rewrite64.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 174

Calls

4 calls:

Slowest

27.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
12.0ms	(/ 1 (/ (tan B) x))
12.0ms	(/ (tan B) x)
11.0ms	(/ 1 (sin B))

series319.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

138.0ms	(- (/ 1 (sin B)) (/ 1 (/ (tan B) x)))
96.0ms	(/ 1 (/ (tan B) x))
61.0ms	(/ (tan B) x)
24.0ms	(/ 1 (sin B))

simplify821.0ms

Counts: 186 → 186

prune1.7s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes102.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample8.6s

Algorithm

intervals

Results

3.4s	1691×	body	1280	valid
2.6s	1473×	body	640	valid
1.5s	4966×	body	80	valid
716.0ms	676×	body	320	valid
197.0ms	370×	body	160	valid