Details

sample372.0ms

Algorithm

intervals

Results

109.0ms	24×	body	2560	valid
59.0ms	50×	body	1280	valid
24.0ms	33×	body	640	valid
23.0ms	143×	body	80	valid
7.0ms	16×	body	320	valid
2.0ms	8×	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: 16.6b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
4.7b	(/ (tan (* PI l)) (* F F))
30.7b	(tan (* PI l))

rewrite66.0ms

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:

13.0ms	(* PI l)
14.0ms	(* PI l)
19.0ms	(/ (tan (* PI l)) (* F F))
15.0ms	(tan (* PI l))

series308.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* PI l)
25.0ms	(* PI l)
153.0ms	(/ (tan (* PI l)) (* F F))
100.0ms	(tan (* PI l))

simplify1.5s

Counts

90 → 90

Iterations

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

prune422.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
30.7b	(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×	`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)
8.0ms	(tan (* PI l))

series274.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ (tan (* PI l)) F)
24.0ms	(* PI l)
32.0ms	(* PI l)
79.0ms	(tan (* PI l))

simplify1.9s

Counts

96 → 96

Iterations

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

prune493.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.3b

localize35.0ms

Local error

Found 4 expressions with local error:

7.4b	(cbrt (/ (tan (* PI l)) F))
30.7b	(tan (* PI l))
30.7b	(tan (* PI l))
30.7b	(tan (* PI l))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 58

Calls

4 calls:

2.0ms	(cbrt (/ (tan (* PI l)) F))
9.0ms	(tan (* PI l))
8.0ms	(tan (* PI l))
22.0ms	(tan (* PI l))

series517.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt (/ (tan (* PI l)) F))
84.0ms	(tan (* PI l))
81.0ms	(tan (* PI l))
93.0ms	(tan (* PI l))

simplify1.8s

Counts

70 → 70

Iterations

Iter	Nodes
done	5001
3	1487
2	490
1	209
0	114

prune514.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 6.3b

localize86.0ms

Local error

Found 4 expressions with local error:

30.7b	(tan (* PI l))
30.7b	(tan (* PI l))
30.7b	(tan (* PI l))
30.7b	(tan (* PI l))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-sqr-sqrt` `expm1-log1p-u` `pow1` `*-un-lft-identity` `add-cbrt-cube` `tan-quot` `add-exp-log` `add-cube-cbrt` `insert-posit16` `log1p-expm1-u` `add-log-exp`

Counts

4 → 44

Calls

4 calls:

11.0ms	(tan (* PI l))
8.0ms	(tan (* PI l))
8.0ms	(tan (* PI l))
8.0ms	(tan (* PI l))

series399.0ms

Counts

4 → 12

Calls

4 calls:

94.0ms	(tan (* PI l))
88.0ms	(tan (* PI l))
114.0ms	(tan (* PI l))
102.0ms	(tan (* PI l))

simplify2.0s

Counts

56 → 56

Iterations

Iter	Nodes
done	5000
4	1563
3	515
2	180
1	66
0	31

prune395.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 6.3b

regimes674.0ms

Accuracy

76.1% (1.4b remaining)

Error of 7.8b against oracle of 6.4b and baseline of 12.3b

bsearch2.0ms

simplify6.0ms

Iterations

Iter	Nodes
done	32
1	32
0	28

end0.0ms

sample10.1s

Algorithm

intervals

Results

4.8s	814×	body	2560	valid
2.2s	1632×	body	1280	valid
1.3s	4670×	body	80	valid
1.3s	923×	body	640	valid
179.0ms	367×	body	320	valid
107.0ms	210×	body	160	valid
57.0ms	2×	body	10240	exit