Details

sample391.0ms

Algorithm

intervals

Results

150.0ms	31×	body	2560	valid
62.0ms	47×	body	1280	valid
25.0ms	151×	body	80	valid
17.0ms	26×	body	640	valid
6.0ms	13×	body	320	valid
2.0ms	6×	body	160	valid

simplify5.8s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2576
6	880
5	396
4	166
3	91
2	45
1	21
0	10

prune11.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.2b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
4.6b	(/ (tan (* PI l)) (* F F))
28.3b	(tan (* PI l))

rewrite53.0ms

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:

7.0ms	(* PI l)
7.0ms	(* PI l)
17.0ms	(/ (tan (* PI l)) (* F F))
20.0ms	(tan (* PI l))

series304.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
31.0ms	(* PI l)
145.0ms	(/ (tan (* PI l)) (* F F))
101.0ms	(tan (* PI l))

simplify2.1s

Counts

90 → 90

Iterations

Iter	Nodes
done	5003
3	3184
2	719
1	240
0	108

prune535.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.3b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
28.3b	(tan (* PI l))

rewrite43.0ms

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:

18.0ms	(/ (tan (* PI l)) F)
7.0ms	(* PI l)
7.0ms	(* PI l)
8.0ms	(tan (* PI l))

series324.0ms

Counts

4 → 12

Calls

4 calls:

155.0ms	(/ (tan (* PI l)) F)
39.0ms	(* PI l)
41.0ms	(* PI l)
89.0ms	(tan (* PI l))

simplify2.1s

Counts

96 → 96

Iterations

Iter	Nodes
done	5005
3	1667
2	588
1	227
0	114

prune513.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
28.3b	(tan (* PI l))

rewrite41.0ms

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:

12.0ms	(/ (tan (* PI l)) F)
7.0ms	(* PI l)
11.0ms	(* PI l)
9.0ms	(tan (* PI l))

series320.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(/ (tan (* PI l)) F)
41.0ms	(* PI l)
48.0ms	(* PI l)
100.0ms	(tan (* PI l))

simplify1.8s

Counts

96 → 96

Iterations

Iter	Nodes
done	5005
3	1667
2	588
1	227
0	114

prune561.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 8.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.8b	(/ 1 (/ F (tan (* PI l))))
28.3b	(tan (* PI l))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 136

Calls

4 calls:

7.0ms	(* PI l)
7.0ms	(* PI l)
37.0ms	(/ 1 (/ F (tan (* PI l))))
17.0ms	(tan (* PI l))

series399.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* PI l)
26.0ms	(* PI l)
201.0ms	(/ 1 (/ F (tan (* PI l))))
124.0ms	(tan (* PI l))

simplify2.7s

Counts

148 → 148

Iterations

Iter	Nodes
done	5017
3	3164
2	1065
1	473
0	207

prune604.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 8.1b

regimes661.0ms

Accuracy

63.8% (2.2b remaining)

Error of 8.9b against oracle of 6.7b and baseline of 12.7b

bsearch2.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	29
1	29
0	22

end0.0ms

sample9.5s

Algorithm

intervals

Results

4.3s	851×	body	2560	valid
2.3s	1658×	body	1280	valid
1.6s	4479×	body	80	valid
736.0ms	943×	body	640	valid
174.0ms	401×	body	320	valid
117.0ms	3×	body	10240	exit
82.0ms	204×	body	160	valid