Details

sample266.0ms

Algorithm

intervals

Results

77.0ms	55×	body	640	valid
71.0ms	63×	body	1280	valid
26.0ms	136×	body	80	valid
9.0ms	17×	body	320	valid
4.0ms	11×	body	160	valid

simplify479.0ms

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

prune29.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize36.0ms

Local error

Found 3 expressions with local error:

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

rewrite64.0ms

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:

35.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
10.0ms	(/ x (tan B))
15.0ms	(/ 1 (sin B))

series393.0ms

Counts

3 → 9

Calls

3 calls:

238.0ms	(- (/ 1 (sin B)) (/ x (tan B)))
130.0ms	(/ x (tan B))
25.0ms	(/ 1 (sin B))

simplify2.1s

Counts

93 → 93

Iterations

Iter	Nodes
4	3548
3	1695
2	738
1	295
0	153

prune883.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

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

rewrite63.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 118

Calls

4 calls:

23.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
6.0ms	(/ 1 (tan B))
8.0ms	(/ 1 (sin B))
23.0ms	(* x (/ 1 (tan B)))

series433.0ms

Counts

4 → 12

Calls

4 calls:

160.0ms	(- (/ 1 (sin B)) (* x (/ 1 (tan B))))
56.0ms	(/ 1 (tan B))
26.0ms	(/ 1 (sin B))
190.0ms	(* x (/ 1 (tan B)))

simplify1.0s

Counts

130 → 130

Iterations

Iter	Nodes
3	2687
2	1089
1	376
0	175

prune1.2s

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite65.0ms

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:

29.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
5.0ms	(/ x (sin B))
5.0ms	(/ 1 (sin B))
23.0ms	(* (/ x (sin B)) (cos B))

series367.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(- (/ 1 (sin B)) (* (/ x (sin B)) (cos B)))
87.0ms	(/ x (sin B))
24.0ms	(/ 1 (sin B))
131.0ms	(* (/ x (sin B)) (cos B))

simplify2.5s

Counts

120 → 120

Iterations

Iter	Nodes
3	4102
2	1230
1	366
0	166

prune1.2s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 2 expressions with local error:

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

rewrite34.0ms

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:

14.0ms	(* x (cos B))
19.0ms	(/ (- 1 (* x (cos B))) (sin B))

series169.0ms

Counts

2 → 6

Calls

2 calls:

67.0ms	(* x (cos B))
102.0ms	(/ (- 1 (* x (cos B))) (sin B))

simplify572.0ms

Counts

56 → 56

Iterations

Iter	Nodes
3	2092
2	604
1	206
0	96

prune562.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

regimes177.0ms

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	11
1	11
0	8

end0.0ms

sample9.2s

Algorithm

intervals

Results

3.9s	1722×	body	1280	valid
2.0s	1461×	body	640	valid
1.6s	4923×	body	80	valid
1.2s	757×	body	320	valid
252.0ms	323×	body	160	valid