Details

sample940.0ms

Algorithm

intervals

Results

714.0ms	229×	body	10240	exit
82.0ms	297×	body	80	valid
4.0ms	7×	body	160	valid

simplify852.0ms

Counts: 1 → 1

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 9.2b

localize35.0ms

Local error

Found 4 expressions with local error:

8.7b	(/ (tan (* PI l)) (* F F))
3.0b	(tan (* PI l))
0.2b	(* PI l)
0.2b	(* PI l)

rewrite71.0ms

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

43.0ms	(/ (tan (* PI l)) (* F F))
9.0ms	(tan (* PI l))
9.0ms	(* PI l)
6.0ms	(* PI l)

series320.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

172.0ms	(/ (tan (* PI l)) (* F F))
78.0ms	(tan (* PI l))
38.0ms	(* PI l)
31.0ms	(* PI l)

simplify778.0ms

Counts: 90 → 90

prune895.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 0.5b

localize37.0ms

Local error

Found 4 expressions with local error:

3.0b	(tan (* PI l))
0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(/ (tan (* PI l)) F)

rewrite51.0ms

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

22.0ms	(tan (* PI l))
12.0ms	(/ (tan (* PI l)) F)
10.0ms	(* PI l)
5.0ms	(* PI l)

series326.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

148.0ms	(/ (tan (* PI l)) F)
115.0ms	(tan (* PI l))
39.0ms	(* PI l)
23.0ms	(* PI l)

simplify1.8s

Counts: 96 → 96

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 0.5b

localize16.0ms

Local error

Found 4 expressions with local error:

3.0b	(tan (* PI l))
0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(/ (tan (* PI l)) F)

rewrite60.0ms

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

23.0ms	(/ (tan (* PI l)) F)
16.0ms	(* PI l)
11.0ms	(* PI l)
9.0ms	(tan (* PI l))

series286.0ms

Counts

4 → 12

Calls

4 calls:

Slowest

120.0ms	(/ (tan (* PI l)) F)
93.0ms	(tan (* PI l))
37.0ms	(* PI l)
36.0ms	(* PI l)

simplify1.7s

Counts: 96 → 96

prune1.0s

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.5b

localize31.0ms

Local error

Found 4 expressions with local error:

3.0b	(tan (* (sqrt PI) (* (sqrt PI) l)))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
0.4b	(* (sqrt PI) (* (sqrt PI) l))

rewrite82.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`associate-r` `tan-quot` `*-commutative`

Counts

4 → 67

Calls

4 calls:

Slowest

41.0ms	(* (sqrt PI) (* (sqrt PI) l))
37.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)

series139.0ms

Counts

4 → 8

Calls

4 calls:

Slowest

103.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))
36.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)

simplify2.0s

Counts: 75 → 75

prune772.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 0.5b

regimes541.0ms

Accuracy

0% (0.2b remaining)

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

bsearch2.0ms

end0.0ms

sample21.7s

Algorithm

intervals

Results

19.0s	7777×	body	10240	exit
2.1s	8913×	body	80	valid
126.0ms	248×	body	160	valid