Details

sample1.1s

Algorithm

intervals

Results

712.0ms	246×	body	10240	exit
122.0ms	296×	body	80	valid
3.0ms	5×	body	160	valid

simplify415.0ms

Counts: 1 → 1

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 6.6b

localize16.0ms

Local error

Found 4 expressions with local error:

6.2b	(/ (tan (* PI l)) (* F F))
2.6b	(tan (* PI l))
0.3b	(* PI l)
0.3b	(* PI l)

rewrite48.0ms

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

14.0ms	(/ (tan (* PI l)) (* F F))
11.0ms	(* PI l)
9.0ms	(* PI l)
8.0ms	(tan (* PI l))

series303.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

152.0ms	(/ (tan (* PI l)) (* F F))
89.0ms	(tan (* PI l))
33.0ms	(* PI l)
30.0ms	(* PI l)

simplify825.0ms

Counts: 82 → 82

prune899.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 0.5b

localize24.0ms

Local error

Found 4 expressions with local error:

2.6b	(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×	`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

18.0ms	(/ (tan (* PI l)) F)
8.0ms	(tan (* PI l))
6.0ms	(* PI l)
5.0ms	(* PI l)

series258.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

110.0ms	(/ (tan (* PI l)) F)
84.0ms	(tan (* PI l))
41.0ms	(* PI l)
22.0ms	(* PI l)

simplify2.3s

Counts: 88 → 88

prune953.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.5b

localize28.0ms

Local error

Found 4 expressions with local error:

2.6b	(tan (* PI l))
1.1b	(/ 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×	`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

17.0ms	(/ 1 (/ F (tan (* PI l))))
11.0ms	(* PI l)
10.0ms	(* PI l)
8.0ms	(tan (* PI l))

series292.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

146.0ms	(/ 1 (/ F (tan (* PI l))))
89.0ms	(tan (* PI l))
34.0ms	(* PI l)
22.0ms	(* PI l)

simplify1.1s

Counts: 140 → 140

prune1.4s

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 0.5b

localize20.0ms

Local error

Found 4 expressions with local error:

2.6b	(tan (* PI l))
0.3b	(/ 1 (tan (* PI l)))
0.3b	(* PI l)
0.3b	(* PI l)

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
12×	`add-exp-log`
10×	`add-cbrt-cube`
9×	`pow1` `times-frac`
6×	`associate-r` `associate-l`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`div-exp` `pow-prod-down` `prod-exp` `tan-quot` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `1-exp` `associate-/r/` `div-inv` `pow-flip` `inv-pow`

Counts

4 → 80

Calls

4 calls:

Slowest

30.0ms	(/ 1 (tan (* PI l)))
15.0ms	(tan (* PI l))
10.0ms	(* PI l)
10.0ms	(* PI l)

series283.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

114.0ms	(/ 1 (tan (* PI l)))
97.0ms	(tan (* PI l))
39.0ms	(* PI l)
33.0ms	(* PI l)

simplify1.5s

Counts: 92 → 92

prune1.0s

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 0.5b

regimes557.0ms

Accuracy

0% (0.3b remaining)

Error of 0.7b against oracle of 0.4b and baseline of 0.7b

bsearch4.0ms

end0.0ms

sample20.5s

Algorithm

intervals

Results

17.8s	7541×	body	10240	exit
2.1s	8842×	body	80	valid
130.0ms	275×	body	160	valid