Details

sample560.0ms

Algorithm

intervals

Results

188.0ms	30×	body	2560	valid
117.0ms	56×	body	1280	valid
89.0ms	32×	body	640	valid
39.0ms	139×	body	80	valid
10.0ms	11×	body	320	valid
3.0ms	5×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
12	974
11	974
10	972
9	868
8	710
7	513
6	412
5	279
4	149
3	90
2	43
1	19
0	10

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 13.4b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
31.4b	(tan (* PI l))

rewrite71.0ms

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:

23.0ms	(/ (tan (* PI l)) F)
21.0ms	(* PI l)
12.0ms	(* PI l)
12.0ms	(tan (* PI l))

series337.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(/ (tan (* PI l)) F)
29.0ms	(* PI l)
25.0ms	(* PI l)
128.0ms	(tan (* PI l))

simplify2.0s

Counts

96 → 96

Iterations

Iter	Nodes
4	4376
3	1479
2	556
1	219
0	114

prune991.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 8.5b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.6b	(/ 1 (/ F (tan (* PI l))))
31.4b	(tan (* PI l))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
51×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-exp-log`
14×	`associate-/r*`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`div-exp`
6×	`associate-r` `associate-l`
5×	`tan-quot` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 136

Calls

4 calls:

11.0ms	(* PI l)
11.0ms	(* PI l)
26.0ms	(/ 1 (/ F (tan (* PI l))))
9.0ms	(tan (* PI l))

series342.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* PI l)
29.0ms	(* PI l)
194.0ms	(/ 1 (/ F (tan (* PI l))))
91.0ms	(tan (* PI l))

simplify1.9s

Counts

148 → 148

Iterations

Iter	Nodes
3	2710
2	1033
1	464
0	207

prune1.4s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.5b

localize38.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ 1 F) (tan (* PI l)))
31.4b	(tan (* PI l))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`associate-l`
17×	`*-un-lft-identity` `add-exp-log`
16×	`add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`times-frac`
10×	`pow1`
9×	`associate-r`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `cbrt-unprod` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `tan-quot` `*-commutative`
2×	`div-exp`
1×	`frac-times` `cbrt-undiv` `rec-exp` `1-exp` `associate-l/` `associate-r/` `div-inv`

Counts

4 → 93

Calls

4 calls:

6.0ms	(* PI l)
6.0ms	(* PI l)
58.0ms	(* (/ 1 F) (tan (* PI l)))
17.0ms	(tan (* PI l))

series335.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* PI l)
29.0ms	(* PI l)
180.0ms	(* (/ 1 F) (tan (* PI l)))
97.0ms	(tan (* PI l))

simplify2.6s

Counts

105 → 105

Iterations

Iter	Nodes
4	4090
3	1682
2	707
1	292
0	133

prune1.0s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.5b

localize55.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt F)
0.6b	(cbrt F)
31.4b	(tan (* PI l))

rewrite19.0ms

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

series908.0ms

Counts

4 → 12

Calls

4 calls:

264.0ms	(cbrt F)
296.0ms	(cbrt F)
267.0ms	(cbrt F)
80.0ms	(tan (* PI l))

simplify748.0ms

Counts

65 → 65

Iterations

Iter	Nodes
4	2098
3	741
2	272
1	109
0	57

prune797.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 8.5b

regimes739.0ms

Accuracy

75.6% (1.0b remaining)

Error of 9.2b against oracle of 8.2b and baseline of 12.3b

bsearch3.0ms

simplify11.0ms

Iterations

Iter	Nodes
2	28
1	28
0	24

end0.0ms

sample12.3s

Algorithm

intervals

Results

4.6s	811×	body	2560	valid
3.9s	1698×	body	1280	valid
1.2s	4511×	body	80	valid
1.2s	974×	body	640	valid
801.0ms	401×	body	320	valid
177.0ms	5×	body	10240	exit
96.0ms	199×	body	160	valid