Details

sample350.0ms

Algorithm

intervals

Results

120.0ms	34×	body	2560	valid
58.0ms	32×	body	640	valid
34.0ms	41×	body	1280	valid
15.0ms	140×	body	80	valid
5.0ms	15×	body	320	valid
2.0ms	8×	body	160	valid

simplify4.9s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
8	4695
7	2334
6	817
5	388
4	156
3	86
2	43
1	20
0	10

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.7b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
4.4b	(/ (tan (* PI l)) (* F F))
30.3b	(tan (* PI l))

rewrite44.0ms

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×	`insert-posit16` `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 → 70

Calls

4 calls:

10.0ms	(* PI l)
7.0ms	(* PI l)
14.0ms	(/ (tan (* PI l)) (* F F))
10.0ms	(tan (* PI l))

series363.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* PI l)
40.0ms	(* PI l)
172.0ms	(/ (tan (* PI l)) (* F F))
113.0ms	(tan (* PI l))

simplify1.7s

Counts

82 → 82

Iterations

Iter	Nodes
done	5040
3	3132
2	709
1	230
0	102

prune391.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.1b

localize25.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(/ (tan (* PI l)) F)
30.3b	(tan (* PI l))

rewrite35.0ms

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×	`insert-posit16` `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 → 76

Calls

4 calls:

8.0ms	(* PI l)
6.0ms	(* PI l)
11.0ms	(/ (tan (* PI l)) F)
8.0ms	(tan (* PI l))

series304.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(* PI l)
43.0ms	(* PI l)
143.0ms	(/ (tan (* PI l)) F)
82.0ms	(tan (* PI l))

simplify2.0s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
3	1763
2	577
1	221
0	108

prune497.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 7.5b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ F (tan (* PI l)))
0.3b	(/ 1 (/ F (tan (* PI l))))
30.3b	(tan (* PI l))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

87×	`times-frac`
59×	`add-sqr-sqrt`
57×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-exp-log`
17×	`associate-/r*`
13×	`add-cbrt-cube`
8×	`div-exp`
7×	`pow1`
6×	`tan-quot` `associate-/r/` `div-inv` `associate-/l*`
4×	`cbrt-undiv` `insert-posit16` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`rec-exp` `clear-num` `frac-2neg` `1-exp`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `pow-flip` `inv-pow` `unswap-sqr`

Counts

4 → 138

Calls

4 calls:

11.0ms	(* PI l)
16.0ms	(/ F (tan (* PI l)))
29.0ms	(/ 1 (/ F (tan (* PI l))))
16.0ms	(tan (* PI l))

series514.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
183.0ms	(/ F (tan (* PI l)))
184.0ms	(/ 1 (/ F (tan (* PI l))))
120.0ms	(tan (* PI l))

simplify2.1s

Counts

150 → 150

Iterations

Iter	Nodes
done	5130
3	3555
2	1233
1	505
0	216

prune829.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.7b

localize51.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* 1/3 (* F (* PI l)))
0.8b	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))

rewrite526.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-exp-log`
19×	`add-cbrt-cube`
18×	`pow1`
17×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `associate-l`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`div-exp` `associate-/r/` `unswap-sqr`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `div-inv` `pow-flip` `flip--` `inv-pow`

Counts

4 → 94

Calls

4 calls:

11.0ms	(* PI l)
11.0ms	(* PI l)
67.0ms	(* 1/3 (* F (* PI l)))
436.0ms	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))

series306.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
28.0ms	(* PI l)
56.0ms	(* 1/3 (* F (* PI l)))
200.0ms	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))

simplify1.3s

Counts

106 → 106

Iterations

Iter	Nodes
done	5000
2	1025
1	336
0	138

prune437.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.4b

regimes369.0ms

Accuracy

0% (0.4b remaining)

Error of 0.8b against oracle of 0.3b and baseline of 0.8b

bsearch0.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample10.0s

Algorithm

intervals

Results

4.0s	825×	body	2560	valid
3.1s	1711×	body	1280	valid
1.1s	977×	body	640	valid
865.0ms	4487×	body	80	valid
307.0ms	9×	body	10240	exit
283.0ms	386×	body	320	valid
198.0ms	213×	body	160	valid