Details

sample367.0ms

Algorithm

intervals

Results

129.0ms	29×	body	2560	valid
72.0ms	58×	body	1280	valid
28.0ms	1×	body	10240	exit
20.0ms	145×	body	80	valid
16.0ms	21×	body	640	valid
7.0ms	15×	body	320	valid
2.0ms	6×	body	160	valid

simplify5.7s

Counts

1 → 1

Iterations

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

prune16.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.9b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
3.2b	(/ (tan (* PI l)) (* F F))
29.8b	(tan (* PI l))

rewrite47.0ms

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:

5.0ms	(* PI l)
5.0ms	(* PI l)
14.0ms	(/ (tan (* PI l)) (* F F))
20.0ms	(tan (* PI l))

series345.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(* PI l)
42.0ms	(* PI l)
188.0ms	(/ (tan (* PI l)) (* F F))
81.0ms	(tan (* PI l))

simplify2.0s

Counts

90 → 90

Iterations

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

prune453.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 9.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ (tan (* PI l)) F)
0.2b	(* (/ 1 F) (/ (tan (* PI l)) F))
29.8b	(tan (* PI l))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 122

Calls

4 calls:

5.0ms	(* PI l)
12.0ms	(/ (tan (* PI l)) F)
28.0ms	(* (/ 1 F) (/ (tan (* PI l)) F))
21.0ms	(tan (* PI l))

series475.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* PI l)
134.0ms	(/ (tan (* PI l)) F)
212.0ms	(* (/ 1 F) (/ (tan (* PI l)) F))
88.0ms	(tan (* PI l))

simplify1.8s

Counts

134 → 134

Iterations

Iter	Nodes
done	5002
2	1511
1	512
0	198

prune701.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 6.7b

localize38.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
29.7b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)
63.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series899.0ms

Counts

4 → 12

Calls

4 calls:

258.0ms	(cbrt l)
268.0ms	(cbrt l)
243.0ms	(cbrt l)
129.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify2.8s

Counts

65 → 65

Iterations

Iter	Nodes
done	5004
4	3359
3	861
2	297
1	120
0	60

prune525.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.7b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
29.7b	(tan (* (* PI (* (cbrt l) (* (* (cbrt (cbrt l)) (cbrt (cbrt l))) (cbrt (cbrt l))))) (cbrt l)))

rewrite451.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 53

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)
449.0ms	(tan (* (* PI (* (cbrt l) (* (* (cbrt (cbrt l)) (cbrt (cbrt l))) (cbrt (cbrt l))))) (cbrt l)))

series1.0s

Counts

4 → 12

Calls

4 calls:

243.0ms	(cbrt l)
347.0ms	(cbrt l)
287.0ms	(cbrt l)
132.0ms	(tan (* (* PI (* (cbrt l) (* (* (cbrt (cbrt l)) (cbrt (cbrt l))) (cbrt (cbrt l))))) (cbrt l)))

simplify2.7s

Counts

65 → 65

Iterations

Iter	Nodes
done	5012
4	3434
3	945
2	338
1	126
0	62

prune498.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 6.7b

regimes727.0ms

Accuracy

68% (1.8b remaining)

Error of 8.1b against oracle of 6.3b and baseline of 11.9b

bsearch4.0ms

simplify7.0ms

Iterations

Iter	Nodes
done	37
1	37
0	32

end0.0ms

sample9.5s

Algorithm

intervals

Results

4.1s	787×	body	2560	valid
2.7s	1653×	body	1280	valid
1.2s	4565×	body	80	valid
763.0ms	971×	body	640	valid
196.0ms	6×	body	10240	exit
186.0ms	402×	body	320	valid
63.0ms	203×	body	160	valid