Details

sample550.0ms

Algorithm

intervals

Results

426.0ms	241×	body	10240	exit
51.0ms	281×	body	80	valid
7.0ms	16×	body	160	valid

simplify1.6s

Counts

1 → 1

Iterations

Iter	Nodes
12	723
11	723
10	686
9	575
8	428
7	323
6	262
5	218
4	136
3	86
2	43
1	20
0	10

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.8b

localize31.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
5.1b	(tan (* PI l))

rewrite65.0ms

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:

22.0ms	(/ (tan (* PI l)) F)
10.0ms	(* PI l)
11.0ms	(* PI l)
18.0ms	(tan (* PI l))

series382.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(/ (tan (* PI l)) F)
38.0ms	(* PI l)
45.0ms	(* PI l)
124.0ms	(tan (* PI l))

simplify1.6s

Counts

88 → 88

Iterations

Iter	Nodes
4	4253
3	1433
2	539
1	213
0	108

prune888.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.6b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (tan (* PI l)))
5.1b	(tan (* PI l))
5.1b	(tan (* PI l))
5.1b	(tan (* PI l))

rewrite45.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`pow1` `add-cbrt-cube` `tan-quot` `add-exp-log` `insert-posit16` `add-log-exp`
3×	`cbrt-prod`
1×	`cbrt-div` `pow1/3`

Counts

4 → 40

Calls

4 calls:

6.0ms	(cbrt (tan (* PI l)))
8.0ms	(tan (* PI l))
14.0ms	(tan (* PI l))
16.0ms	(tan (* PI l))

series633.0ms

Counts

4 → 12

Calls

4 calls:

325.0ms	(cbrt (tan (* PI l)))
99.0ms	(tan (* PI l))
117.0ms	(tan (* PI l))
93.0ms	(tan (* PI l))

simplify6.6s

Counts

52 → 52

Iterations

Iter	Nodes
4	10252
3	1630
2	393
1	142
0	64

prune759.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.6b

localize30.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
5.1b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite69.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 45

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)
66.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series1.0s

Counts

4 → 12

Calls

4 calls:

282.0ms	(cbrt l)
353.0ms	(cbrt l)
276.0ms	(cbrt l)
131.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify880.0ms

Counts

57 → 57

Iterations

Iter	Nodes
4	2374
3	771
2	282
1	114
0	56

prune760.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 0.6b

localize68.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
5.1b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
5.1b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
5.1b	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite209.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 39

Calls

4 calls:

1.0ms	(cbrt l)
61.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
79.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
68.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series708.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt l)
155.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
145.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))
143.0ms	(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify904.0ms

Counts

51 → 51

Iterations

Iter	Nodes
4	2374
3	771
2	282
1	114
0	56

prune801.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 0.6b

regimes735.0ms

Accuracy

0% (0.6b remaining)

Error of 1.1b against oracle of 0.4b and baseline of 1.1b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	13
1	13
0	11

end0.0ms

sample21.0s

Algorithm

intervals

Results

17.9s	7685×	body	10240	exit
2.6s	8888×	body	80	valid
137.0ms	269×	body	160	valid