Details

sample410.0ms

Algorithm

intervals

Results

124.0ms	30×	body	2560	valid
65.0ms	27×	body	640	valid
63.0ms	59×	body	1280	valid
14.0ms	131×	body	80	valid
4.0ms	14×	body	320	valid
3.0ms	12×	body	160	valid

simplify175.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	39	14
3	76	14
4	114	14
5	136	14
6	142	14
done	142	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.9b	(/ 1.0 (* F F))
3.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
33.2b	(tan (* PI l))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`pow1`
7×	`times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`tan-quot` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*`

Counts

4 → 77

Calls

4 calls:

14.0ms	(* PI l)
17.0ms	(/ 1.0 (* F F))
66.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series402.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
40.0ms	(/ 1.0 (* F F))
202.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
128.0ms	(tan (* PI l))

simplify3.2s

Counts

89 → 89

Iterations

Useful iterations: 2 (316.0ms)

Iter	Nodes	Cost
0	135	872
1	305	854
2	1001	722
3	3970	722
done	5001	722

prune311.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 13.9b

localize30.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
33.2b	(tan (* PI l))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `times-frac`
9×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 78

Calls

4 calls:

14.0ms	(* PI l)
15.0ms	(* PI l)
34.0ms	(* (/ 1.0 F) (tan (* PI l)))
17.0ms	(tan (* PI l))

series760.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* PI l)
37.0ms	(* PI l)
590.0ms	(* (/ 1.0 F) (tan (* PI l)))
93.0ms	(tan (* PI l))

simplify2.6s

Counts

90 → 90

Iterations

Useful iterations: 2 (187.0ms)

Iter	Nodes	Cost
0	125	736
1	277	717
2	769	639
3	2333	639
done	5000	639

prune375.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 13.8b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt F)
0.6b	(cbrt F)
33.2b	(tan (* PI l))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

2.0ms	(cbrt F)
1.0ms	(cbrt F)
2.0ms	(cbrt F)
17.0ms	(tan (* PI l))

series1.1s

Counts

4 → 12

Calls

4 calls:

318.0ms	(cbrt F)
324.0ms	(cbrt F)
287.0ms	(cbrt F)
132.0ms	(tan (* PI l))

simplify2.4s

Counts

53 → 53

Iterations

Useful iterations: done (2.4s)

Iter	Nodes	Cost
0	51	294
1	101	282
2	236	256
3	670	247
4	2501	247
done	5000	245

prune329.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 13.8b

localize27.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (* PI l))
0.6b	(cbrt (* PI l))
0.6b	(cbrt (* PI l))
33.0b	(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

rewrite149.0ms

Algorithm

rewrite-expression-head

Rules

4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-prod` `pow1/3`
1×	`tan-quot`

Counts

4 → 35

Calls

4 calls:

7.0ms	(cbrt (* PI l))
3.0ms	(cbrt (* PI l))
3.0ms	(cbrt (* PI l))
134.0ms	(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

series1.1s

Counts

4 → 12

Calls

4 calls:

285.0ms	(cbrt (* PI l))
301.0ms	(cbrt (* PI l))
359.0ms	(cbrt (* PI l))
137.0ms	(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

simplify2.0s

Counts

47 → 47

Iterations

Useful iterations: done (2.0s)

Iter	Nodes	Cost
0	59	486
1	119	483
2	246	346
3	690	298
4	2563	271
done	5000	269

prune231.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 13.8b

regimes560.0ms

Accuracy

0% (0.4b remaining)

Error of 12.7b against oracle of 12.3b and baseline of 12.7b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	27
1	23	27
done	23	27

end0.0ms

sample9.9s

Algorithm

intervals

Results

3.9s	816×	body	2560	valid
3.0s	1704×	body	1280	valid
1.2s	4526×	body	80	valid
978.0ms	929×	body	640	valid
224.0ms	379×	body	320	valid
120.0ms	214×	body	160	valid
106.0ms	3×	body	10240	exit