Details

sample1.1s

Algorithm

intervals

Results

698.0ms	250×	body	10240	exit
230.0ms	282×	body	80	valid
36.0ms	8×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
12	685
11	685
10	661
9	591
8	471
7	348
6	273
5	229
4	147
3	91
2	45
1	21
0	10

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ (tan (* PI l)) F) F)
0.2b	(* PI l)
0.2b	(* PI l)
2.7b	(tan (* PI l))

rewrite39.0ms

Algorithm

rewrite-expression-head

Rules

75×	`times-frac`
54×	`add-sqr-sqrt`
50×	`*-un-lft-identity` `add-cube-cbrt`
13×	`add-cbrt-cube` `add-exp-log` `associate-/l*`
8×	`pow1`
6×	`associate-r` `associate-l`
5×	`div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/r*` `div-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `frac-2neg` `tan-quot` `associate-/l/`

Counts

4 → 126

Calls

4 calls:

10.0ms	(/ (/ (tan (* PI l)) F) F)
5.0ms	(* PI l)
6.0ms	(* PI l)
9.0ms	(tan (* PI l))

series276.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (/ (tan (* PI l)) F) F)
21.0ms	(* PI l)
28.0ms	(* PI l)
79.0ms	(tan (* PI l))

simplify2.0s

Counts

138 → 138

Iterations

Iter	Nodes
3	4513
2	1219
1	452
0	204

prune1.3s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.4b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.5b	(/ 1 (/ F (/ (tan (* PI l)) F)))
2.7b	(tan (* PI l))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

396×	`times-frac`
197×	`add-sqr-sqrt`
193×	`*-un-lft-identity` `add-cube-cbrt`
44×	`associate-/r*`
29×	`add-exp-log`
17×	`add-cbrt-cube` `div-inv`
15×	`div-exp`
9×	`pow1`
6×	`cbrt-undiv` `associate-r` `associate-l`
5×	`associate-/r/`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `associate-/l*`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `frac-2neg` `tan-quot` `pow-flip` `inv-pow`

Counts

4 → 260

Calls

4 calls:

5.0ms	(* PI l)
5.0ms	(* PI l)
19.0ms	(/ 1 (/ F (/ (tan (* PI l)) F)))
16.0ms	(tan (* PI l))

series301.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
32.0ms	(* PI l)
159.0ms	(/ 1 (/ F (/ (tan (* PI l)) F)))
88.0ms	(tan (* PI l))

simplify1.4s

Counts

272 → 272

Iterations

Iter	Nodes
2	3411
1	1217
0	461

prune2.8s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.5b	(/ 1 (* F (/ F (tan (* PI l)))))
2.7b	(tan (* PI l))

rewrite62.0ms

Algorithm

rewrite-expression-head

Rules

29×	`add-exp-log`
17×	`add-cbrt-cube`
14×	`add-sqr-sqrt`
11×	`pow1`
10×	`*-un-lft-identity` `add-cube-cbrt`
9×	`div-exp`
8×	`prod-exp`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `cbrt-undiv` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `times-frac` `1-exp` `pow-prod-down` `associate-/l*`
2×	`*-commutative` `pow-flip` `unswap-sqr`
1×	`clear-num` `associate-/r` `frac-2neg` `tan-quot` `associate-r/` `associate-/r/` `div-inv` `inv-pow`

Counts

4 → 89

Calls

4 calls:

8.0ms	(* PI l)
5.0ms	(* PI l)
30.0ms	(/ 1 (* F (/ F (tan (* PI l)))))
17.0ms	(tan (* PI l))

series305.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
30.0ms	(* PI l)
159.0ms	(/ 1 (* F (/ F (tan (* PI l)))))
92.0ms	(tan (* PI l))

simplify1.1s

Counts

101 → 101

Iterations

Iter	Nodes
3	3346
2	797
1	283
0	129

prune1.2s

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.4b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (/ 1 F) (/ F (tan (* PI l))))
0.2b	(* PI l)
0.2b	(* PI l)
2.7b	(tan (* PI l))

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

443×	`times-frac`
215×	`add-sqr-sqrt`
211×	`*-un-lft-identity` `add-cube-cbrt`
30×	`add-exp-log` `div-inv`
20×	`add-cbrt-cube`
16×	`div-exp`
15×	`tan-quot` `associate-/r/`
14×	`associate-/r*`
13×	`associate-/l*`
8×	`pow1` `cbrt-undiv`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
2×	`rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `frac-2neg` `associate-/l/`

Counts

4 → 289

Calls

4 calls:

42.0ms	(/ (/ 1 F) (/ F (tan (* PI l))))
11.0ms	(* PI l)
10.0ms	(* PI l)
17.0ms	(tan (* PI l))

series338.0ms

Counts

4 → 12

Calls

4 calls:

167.0ms	(/ (/ 1 F) (/ F (tan (* PI l))))
27.0ms	(* PI l)
34.0ms	(* PI l)
110.0ms	(tan (* PI l))

simplify1.8s

Counts

301 → 301

Iterations

Iter	Nodes
2	3661
1	1512
0	487

prune3.3s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.4b

regimes556.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	17
1	17
0	12

end0.0ms

sample20.7s

Algorithm

intervals

Results

16.8s	7724×	body	10240	exit
3.4s	8943×	body	80	valid
115.0ms	250×	body	160	valid