Details

sample745.0ms

Algorithm

intervals

Results

538.0ms	228×	body	10240	exit
68.0ms	281×	body	80	valid
4.0ms	8×	body	160	valid

simplify364.0ms

Counts: 1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize24.0ms

Local error

Found 4 expressions with local error:

5.7b	(/ (tan (* PI l)) (* F F))
4.2b	(tan (* PI l))
0.3b	(* PI l)
0.3b	(* 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:

Slowest

19.0ms	(/ (tan (* PI l)) (* F F))
18.0ms	(* PI l)
16.0ms	(tan (* PI l))
11.0ms	(* PI l)

series302.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

156.0ms	(/ (tan (* PI l)) (* F F))
99.0ms	(tan (* PI l))
23.0ms	(* PI l)
23.0ms	(* PI l)

simplify887.0ms

Counts: 90 → 90

prune1.1s

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 0.4b

localize27.0ms

Local error

Found 4 expressions with local error:

4.2b	(tan (* PI l))
0.3b	(* PI l)
0.3b	(* PI l)
0.2b	(/ (tan (* PI l)) F)

rewrite39.0ms

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:

Slowest

18.0ms	(/ (tan (* PI l)) F)
9.0ms	(tan (* PI l))
5.0ms	(* PI l)
5.0ms	(* PI l)

series339.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

160.0ms	(/ (tan (* PI l)) F)
118.0ms	(tan (* PI l))
37.0ms	(* PI l)
23.0ms	(* PI l)

simplify1.9s

Counts: 96 → 96

prune1.6s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.4b

localize49.0ms

Local error

Found 4 expressions with local error:

4.2b	(tan (* PI l))
0.5b	(/ 1 (/ F (tan (* PI l))))
0.3b	(* PI l)
0.3b	(* PI l)

rewrite50.0ms

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:

Slowest

21.0ms	(/ 1 (/ F (tan (* PI l))))
17.0ms	(tan (* PI l))
5.0ms	(* PI l)
5.0ms	(* PI l)

series324.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

151.0ms	(/ 1 (/ F (tan (* PI l))))
89.0ms	(tan (* PI l))
43.0ms	(* PI l)
41.0ms	(* PI l)

simplify1.6s

Counts: 148 → 148

prune2.1s

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 0.4b

localize45.0ms

Local error

Found 4 expressions with local error:

4.2b	(tan (* PI l))
0.3b	(* PI l)
0.3b	(* PI l)
0.2b	(/ (tan (* PI l)) F)

rewrite41.0ms

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:

Slowest

15.0ms	(tan (* PI l))
11.0ms	(/ (tan (* PI l)) F)
9.0ms	(* PI l)
5.0ms	(* PI l)

series242.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

121.0ms	(/ (tan (* PI l)) F)
74.0ms	(tan (* PI l))
24.0ms	(* PI l)
22.0ms	(* PI l)

simplify2.0s

Counts: 96 → 96

prune1.1s

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 0.4b

regimes696.0ms

Accuracy

0% (0.2b remaining)

Error of 0.7b against oracle of 0.5b and baseline of 0.7b

bsearch2.0ms

end0.0ms

sample19.9s

Algorithm

intervals

Results

16.7s	7654×	body	10240	exit
2.6s	8921×	body	80	valid
131.0ms	270×	body	160	valid