Details

sample451.0ms

Algorithm

intervals

Results

117.0ms	24×	body	2560	valid
92.0ms	49×	body	1280	valid
56.0ms	13×	body	320	valid
37.0ms	153×	body	80	valid
35.0ms	31×	body	640	valid
2.0ms	4×	body	160	valid

simplify2.1s

Counts

1 → 1

Iterations

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

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 14.2b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
3.9b	(/ (tan (* PI l)) (* F F))
27.8b	(tan (* PI l))

rewrite59.0ms

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:

11.0ms	(* PI l)
19.0ms	(* PI l)
15.0ms	(/ (tan (* PI l)) (* F F))
11.0ms	(tan (* PI l))

series419.0ms

Counts

4 → 12

Calls

4 calls:

40.0ms	(* PI l)
39.0ms	(* PI l)
197.0ms	(/ (tan (* PI l)) (* F F))
142.0ms	(tan (* PI l))

simplify1.0s

Counts

90 → 90

Iterations

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

prune552.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.1b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
27.8b	(tan (* PI l))

rewrite57.0ms

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:

21.0ms	(/ (tan (* PI l)) F)
10.0ms	(* PI l)
10.0ms	(* PI l)
16.0ms	(tan (* PI l))

series350.0ms

Counts

4 → 12

Calls

4 calls:

179.0ms	(/ (tan (* PI l)) F)
40.0ms	(* PI l)
39.0ms	(* PI l)
91.0ms	(tan (* PI l))

simplify1.5s

Counts

96 → 96

Iterations

Iter	Nodes
done	2029
4	2029
3	1667
2	588
1	227
0	114

prune537.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 5.6b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (tan (* PI l)) (/ 1 F))
27.8b	(tan (* PI l))

rewrite99.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`associate-r`
17×	`*-un-lft-identity` `add-exp-log`
16×	`add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`times-frac`
10×	`pow1`
9×	`associate-l`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `tan-quot` `*-commutative`
2×	`div-exp`
1×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `associate-r/` `un-div-inv` `div-inv`

Counts

4 → 94

Calls

4 calls:

12.0ms	(* PI l)
11.0ms	(* PI l)
61.0ms	(* (tan (* PI l)) (/ 1 F))
13.0ms	(tan (* PI l))

series398.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* PI l)
40.0ms	(* PI l)
193.0ms	(* (tan (* PI l)) (/ 1 F))
127.0ms	(tan (* PI l))

simplify1.2s

Counts

106 → 106

Iterations

Iter	Nodes
done	2004
3	2004
2	849
1	329
0	141

prune485.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 5.6b

localize42.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
27.8b	(tan (* PI l))

rewrite37.0ms

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)
6.0ms	(* PI l)
6.0ms	(* PI l)
13.0ms	(tan (* PI l))

series354.0ms

Counts

4 → 12

Calls

4 calls:

157.0ms	(/ (tan (* PI l)) F)
44.0ms	(* PI l)
39.0ms	(* PI l)
114.0ms	(tan (* PI l))

simplify1.3s

Counts

96 → 96

Iterations

Iter	Nodes
done	2029
4	2029
3	1667
2	588
1	227
0	114

prune379.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 5.6b

regimes540.0ms

Accuracy

58.6% (2.3b remaining)

Error of 9.1b against oracle of 6.7b and baseline of 12.4b

bsearch3.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	29
1	29
0	25

end0.0ms

sample13.3s

Algorithm

intervals

Results

5.3s	857×	body	2560	valid
4.0s	1717×	body	1280	valid
1.7s	907×	body	640	valid
1.2s	4497×	body	80	valid
456.0ms	401×	body	320	valid
345.0ms	10×	body	10240	exit
118.0ms	214×	body	160	valid