Details

sample872.0ms

Algorithm

intervals

Results

620.0ms	228×	body	10240	exit
88.0ms	281×	body	80	valid
4.0ms	8×	body	160	valid

simplify788.0ms

Counts: 1 → 1

prune17.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.3b

localize36.0ms

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)

rewrite83.0ms

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×	`insert-posit16` `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 → 70

Calls

4 calls:

Slowest

41.0ms	(/ (tan (* PI l)) (* F F))
17.0ms	(tan (* PI l))
12.0ms	(* PI l)
11.0ms	(* PI l)

series384.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

182.0ms	(/ (tan (* PI l)) (* F F))
117.0ms	(tan (* PI l))
42.0ms	(* PI l)
42.0ms	(* PI l)

simplify916.0ms

Counts: 82 → 82

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.4b

localize20.0ms

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)

rewrite38.0ms

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:

Slowest

11.0ms	(/ (tan (* PI l)) F)
10.0ms	(* PI l)
8.0ms	(tan (* PI l))
5.0ms	(* PI l)

series316.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

156.0ms	(/ (tan (* PI l)) F)
79.0ms	(tan (* PI l))
42.0ms	(* PI l)
39.0ms	(* PI l)

simplify2.0s

Counts: 88 → 88

prune1.0s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 0.4b

localize37.0ms

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)

rewrite43.0ms

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×	`insert-posit16` `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 → 128

Calls

4 calls:

Slowest

14.0ms	(/ 1 (/ F (tan (* PI l))))
10.0ms	(* PI l)
8.0ms	(* PI l)
8.0ms	(tan (* PI l))

series345.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

175.0ms	(/ 1 (/ F (tan (* PI l))))
87.0ms	(tan (* PI l))
42.0ms	(* PI l)
40.0ms	(* PI l)

simplify1.5s

Counts: 140 → 140

prune1.8s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 0.4b

localize26.0ms

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)

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:

Slowest

21.0ms	(/ (tan (* PI l)) F)
17.0ms	(tan (* PI l))
16.0ms	(* PI l)
10.0ms	(* PI l)

series343.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

178.0ms	(/ (tan (* PI l)) F)
103.0ms	(tan (* PI l))
40.0ms	(* PI l)
22.0ms	(* PI l)

simplify1.9s

Counts: 88 → 88

prune1.1s

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 0.4b

regimes675.0ms

Accuracy

0% (0.2b remaining)

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

bsearch3.0ms

end0.0ms

sample20.5s

Algorithm

intervals

Results

16.9s	7654×	body	10240	exit
3.0s	8921×	body	80	valid
146.0ms	270×	body	160	valid