Details

sample99.0ms

Algorithm

intervals

Results

39.0ms	59×	body	1280	valid
21.0ms	51×	body	640	valid
14.0ms	139×	body	80	valid
8.0ms	26×	body	320	valid
3.0ms	15×	body	160	valid

simplify3.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize40.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
0.1b	(/ 1.0 (sin B))
0.2b	(/ 1.0 (tan B))
0.3b	(* x (/ 1.0 (tan B)))

rewrite318.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 101

Calls

4 calls:

25.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
6.0ms	(/ 1.0 (sin B))
6.0ms	(/ 1.0 (tan B))
22.0ms	(* x (/ 1.0 (tan B)))

series327.0ms

Counts

4 → 12

Calls

4 calls:

141.0ms	(- (/ 1.0 (sin B)) (* x (/ 1.0 (tan B))))
22.0ms	(/ 1.0 (sin B))
41.0ms	(/ 1.0 (tan B))
123.0ms	(* x (/ 1.0 (tan B)))

simplify43.0ms

Counts: 113 → 113

prune293.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
0.1b	(/ (* x 1.0) (tan B))
0.1b	(/ 1.0 (sin B))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
13×	`add-cube-cbrt` `times-frac`
10×	`add-exp-log` `add-cbrt-cube`
6×	`associate-/r*`
5×	`add-log-exp`
4×	`associate-/l*`
3×	`pow1` `cbrt-undiv` `div-exp`
2×	`frac-2neg` `clear-num` `div-inv` `difference-of-squares`
1×	`tan-quot` `sub-neg` `flip3--` `diff-log` `prod-exp` `associate-/r/` `frac-sub` `flip--` `cbrt-unprod` `distribute-lft-out--`

Counts

3 → 65

Calls

3 calls:

31.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
15.0ms	(/ (* x 1.0) (tan B))
6.0ms	(/ 1.0 (sin B))

series274.0ms

Counts

3 → 9

Calls

3 calls:

132.0ms	(- (/ 1.0 (sin B)) (/ (* x 1.0) (tan B)))
120.0ms	(/ (* x 1.0) (tan B))
21.0ms	(/ 1.0 (sin B))

simplify30.0ms

Counts: 74 → 74

prune185.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
23×	`*-un-lft-identity`
16×	`add-cube-cbrt`
15×	`add-exp-log` `times-frac`
13×	`add-cbrt-cube`
7×	`pow1` `div-inv`
6×	`associate-/r*` `add-log-exp`
4×	`div-exp` `associate-/l*`
3×	`cbrt-undiv` `distribute-rgt-out--` `associate-r` `associate-l` `difference-of-squares`
2×	`frac-2neg` `prod-exp` `clear-num` `cbrt-unprod` `distribute-lft-out--`
1×	`sub-neg` `rec-exp` `flip3--` `pow-flip` `diff-log` `1-exp` `pow-prod-down` `*-commutative` `frac-sub` `flip--` `inv-pow` `sub-div` `unswap-sqr`

Counts

4 → 92

Calls

4 calls:

32.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
9.0ms	(* x (cos B))
7.0ms	(/ 1 (sin B))
13.0ms	(/ (* x (cos B)) (sin B))

series261.0ms

Counts

4 → 12

Calls

4 calls:

102.0ms	(- (/ 1 (sin B)) (/ (* x (cos B)) (sin B)))
38.0ms	(* x (cos B))
15.0ms	(/ 1 (sin B))
106.0ms	(/ (* x (cos B)) (sin B))

simplify38.0ms

Counts: 104 → 104

prune224.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 3 expressions with local error:

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

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 60

Calls

3 calls:

6.0ms	(- 1 (* x (cos B)))
10.0ms	(* x (cos B))
20.0ms	(/ (- 1 (* x (cos B))) (sin B))

series161.0ms

Counts

3 → 9

Calls

3 calls:

46.0ms	(- 1 (* x (cos B)))
38.0ms	(* x (cos B))
77.0ms	(/ (- 1 (* x (cos B))) (sin B))

simplify90.0ms

Counts: 69 → 69

prune161.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

regimes49.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

end0.0ms

sample4.4s

Algorithm

intervals

Results

1.6s	1758×	body	1280	valid
1.5s	1463×	body	640	valid
583.0ms	4847×	body	80	valid
345.0ms	728×	body	320	valid
85.0ms	391×	body	160	valid