Details

sample948.0ms

Algorithm

intervals

Results

182.0ms	30×	body	2560	valid
74.0ms	47×	body	1280	valid
39.0ms	40×	body	640	valid
30.0ms	150×	body	80	valid
4.0ms	6×	body	320	valid
2.0ms	5×	body	160	valid

simplify6.1s

Counts

1 → 1

Iterations

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

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
3.5b	(/ (tan (* PI l)) (* F F))
30.3b	(tan (* PI l))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 134

Calls

4 calls:

7.0ms	(* PI l)
7.0ms	(* PI l)
43.0ms	(/ (tan (* PI l)) (* F F))
24.0ms	(tan (* PI l))

series423.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* PI l)
46.0ms	(* PI l)
191.0ms	(/ (tan (* PI l)) (* F F))
144.0ms	(tan (* PI l))

simplify1.6s

Counts

146 → 146

Iterations

Iter	Nodes
done	5001
2	1506
1	461
0	184

prune667.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 9.5b

localize23.0ms

Local error

Found 4 expressions with local error:

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

rewrite80.0ms

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:

29.0ms	(/ (tan (* PI l)) F)
13.0ms	(* PI l)
14.0ms	(* PI l)
22.0ms	(tan (* PI l))

series318.0ms

Counts

4 → 12

Calls

4 calls:

161.0ms	(/ (tan (* PI l)) F)
28.0ms	(* PI l)
32.0ms	(* PI l)
96.0ms	(tan (* PI l))

simplify1.7s

Counts

96 → 96

Iterations

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

prune438.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.2b

localize33.0ms

Local error

Found 4 expressions with local error:

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

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

series353.0ms

Counts

4 → 12

Calls

4 calls:

166.0ms	(/ (tan (* PI l)) F)
37.0ms	(* PI l)
26.0ms	(* PI l)
124.0ms	(tan (* PI l))

simplify1.8s

Counts

96 → 96

Iterations

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

prune465.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.2b

localize47.0ms

Local error

Found 4 expressions with local error:

1.0b	(cbrt PI)
1.0b	(cbrt PI)
1.0b	(cbrt PI)
30.4b	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

rewrite132.0ms

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 PI)
1.0ms	(cbrt PI)
1.0ms	(cbrt PI)
129.0ms	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

series93.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
0.0ms	(cbrt PI)
93.0ms	(tan (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))

simplify1.9s

Counts

59 → 59

Iterations

Iter	Nodes
done	5004
4	2035
3	611
2	215
1	94
0	51

prune339.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 7.2b

regimes658.0ms

Accuracy

60.8% (2.3b remaining)

Error of 8.9b against oracle of 6.5b and baseline of 12.5b

bsearch3.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	22
1	22
0	18

end0.0ms

sample12.3s

Algorithm

intervals

Results

5.5s	854×	body	2560	valid
3.5s	1638×	body	1280	valid
1.2s	4634×	body	80	valid
1.1s	938×	body	640	valid
366.0ms	407×	body	320	valid
207.0ms	6×	body	10240	exit
135.0ms	188×	body	160	valid