Details

sample663.0ms

Algorithm

intervals

Results

200.0ms	52×	body	1280	valid
139.0ms	24×	body	2560	valid
107.0ms	37×	body	640	valid
39.0ms	140×	body	80	valid
35.0ms	1×	body	10240	exit
13.0ms	15×	body	320	valid
5.0ms	9×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
done	2001
7	2001
6	880
5	396
4	166
3	91
2	45
1	21
0	10

prune20.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.5b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
3.7b	(/ (tan (* PI l)) (* F F))
31.5b	(tan (* PI l))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 78

Calls

4 calls:

6.0ms	(* PI l)
10.0ms	(* PI l)
30.0ms	(/ (tan (* PI l)) (* F F))
19.0ms	(tan (* PI l))

series409.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* PI l)
41.0ms	(* PI l)
196.0ms	(/ (tan (* PI l)) (* F F))
132.0ms	(tan (* PI l))

simplify940.0ms

Counts

90 → 90

Iterations

Iter	Nodes
done	2014
3	2014
2	719
1	240
0	108

prune958.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 7.9b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(/ (tan (* PI l)) F)
31.5b	(tan (* PI l))

rewrite54.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

11.0ms	(* PI l)
11.0ms	(* PI l)
21.0ms	(/ (tan (* PI l)) F)
8.0ms	(tan (* PI l))

series324.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
23.0ms	(* PI l)
167.0ms	(/ (tan (* PI l)) F)
110.0ms	(tan (* PI l))

simplify1.4s

Counts

96 → 96

Iterations

Iter	Nodes
done	2067
4	2067
3	1776
2	599
1	229
0	114

prune901.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ F (tan (* PI l)))
0.2b	(* PI l)
0.2b	(* PI l)
31.5b	(tan (* PI l))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 84

Calls

4 calls:

9.0ms	(/ F (tan (* PI l)))
6.0ms	(* PI l)
14.0ms	(* PI l)
17.0ms	(tan (* PI l))

series408.0ms

Counts

4 → 12

Calls

4 calls:

228.0ms	(/ F (tan (* PI l)))
23.0ms	(* PI l)
38.0ms	(* PI l)
118.0ms	(tan (* PI l))

simplify872.0ms

Counts

96 → 96

Iterations

Iter	Nodes
done	2000
3	2000
2	610
1	220
0	112

prune1.0s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 6.9b

localize45.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(/ 1 (fma (* (* PI l) F) -1/3 (/ F (* PI l))))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 97

Calls

4 calls:

6.0ms	(* PI l)
6.0ms	(* PI l)
11.0ms	(* PI l)
9.0ms	(/ 1 (fma (* (* PI l) F) -1/3 (/ F (* PI l))))

series267.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* PI l)
41.0ms	(* PI l)
46.0ms	(* PI l)
139.0ms	(/ 1 (fma (* (* PI l) F) -1/3 (/ F (* PI l))))

simplify992.0ms

Counts

109 → 109

Iterations

Iter	Nodes
done	2001
3	2001
2	606
1	229
0	112

prune1.1s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.3b

regimes258.0ms

Accuracy

0% (0.4b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 0.7b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	14

end0.0ms

sample12.1s

Algorithm

intervals

Results

4.4s	806×	body	2560	valid
4.1s	1657×	body	1280	valid
1.4s	4499×	body	80	valid
1.2s	994×	body	640	valid
378.0ms	398×	body	320	valid
176.0ms	221×	body	160	valid
166.0ms	5×	body	10240	exit