Details

sample394.0ms

Algorithm

intervals

Results

144.0ms	70×	body	1280	valid
102.0ms	146×	body	80	valid
58.0ms	41×	body	640	valid
20.0ms	20×	body	320	valid
7.0ms	9×	body	160	valid

simplify384.0ms

Counts

1 → 1

Iterations

Iter	Nodes
13	229
12	229
11	228
10	225
9	219
8	212
7	194
6	153
5	93
4	67
3	38
2	32
1	20
0	10

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize25.0ms

Local error

Found 3 expressions with local error:

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

rewrite57.0ms

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:

42.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
5.0ms	(/ 1 (sin B))
6.0ms	(/ x (tan B))

series343.0ms

Counts

3 → 9

Calls

3 calls:

166.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
28.0ms	(/ 1 (sin B))
148.0ms	(/ x (tan B))

simplify1.7s

Counts

93 → 93

Iterations

Iter	Nodes
4	3590
3	1739
2	741
1	295
0	153

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite61.0ms

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:

36.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
4.0ms	(/ x (sin B))
5.0ms	(/ 1 (sin B))
14.0ms	(* (/ x (sin B)) (cos B))

series449.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
93.0ms	(/ x (sin B))
28.0ms	(/ 1 (sin B))
176.0ms	(* (/ x (sin B)) (cos B))

simplify2.3s

Counts

120 → 120

Iterations

Iter	Nodes
3	4102
2	1230
1	366
0	166

prune1.4s

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite41.0ms

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:

21.0ms	(* x (cos B))
19.0ms	(/ (- 1 (* x (cos B))) (sin B))

series162.0ms

Counts

2 → 6

Calls

2 calls:

69.0ms	(* x (cos B))
94.0ms	(/ (- 1 (* x (cos B))) (sin B))

simplify573.0ms

Counts

56 → 56

Iterations

Iter	Nodes
3	2092
2	604
1	206
0	96

prune581.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt` `add-exp-log`
30×	`*-un-lft-identity`
29×	`times-frac` `add-cube-cbrt`
22×	`add-cbrt-cube`
16×	`associate-l`
13×	`pow1` `prod-exp`
8×	`div-exp`
7×	`cbrt-unprod`
6×	`associate-/r` `associate-/l`
4×	`cbrt-undiv` `rec-exp` `1-exp` `associate-r` `pow-prod-down` `insert-posit16` `add-log-exp`
3×	`div-inv` `unswap-sqr`
2×	`clear-num` `frac-2neg` `associate-l/` `-commutative` `pow-flip` `inv-pow`
1×	`associate-*r/`

Counts

4 → 124

Calls

4 calls:

10.0ms	(/ 1 (sin B))
10.0ms	(/ 1 (sin B))
29.0ms	(* (/ 1 (sin B)) (cos B))
44.0ms	(* x (* (/ 1 (sin B)) (cos B)))

series228.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ 1 (sin B))
15.0ms	(/ 1 (sin B))
32.0ms	(* (/ 1 (sin B)) (cos B))
163.0ms	(* x (* (/ 1 (sin B)) (cos B)))

simplify1.0s

Counts

136 → 136

Iterations

Iter	Nodes
3	2343
2	846
1	324
0	137

prune1.3s

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes145.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
2	12
1	12
0	9

end0.0ms

sample8.3s

Algorithm

intervals

Results

3.2s	1718×	body	1280	valid
2.1s	1399×	body	640	valid
1.9s	4997×	body	80	valid
647.0ms	714×	body	320	valid
187.0ms	351×	body	160	valid