Details

sample350.0ms

Algorithm

intervals

Results

151.0ms	20×	body	2560	valid
82.0ms	59×	body	1280	valid
23.0ms	152×	body	80	valid
19.0ms	24×	body	640	valid
7.0ms	15×	body	320	valid
1.0ms	4×	body	160	valid

simplify87.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.5b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.3b	(tan (* PI l))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-exp-log` `add-cbrt-cube`
17×	`add-sqr-sqrt`
11×	`add-cube-cbrt` `*-un-lft-identity`
10×	`associate-l`
8×	`pow1`
7×	`times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`cbrt-undiv` `div-exp` `add-log-exp`
3×	`tan-quot` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`frac-times` `frac-2neg` `associate-r/` `associate-l/` `clear-num` `associate-/r*`

Counts

4 → 77

Calls

4 calls:

7.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
87.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
10.0ms	(tan (* PI l))

series379.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
34.0ms	(/ 1.0 (* F F))
201.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
119.0ms	(tan (* PI l))

simplify794.0ms

Counts: 89 → 89

prune337.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 10.5b

localize17.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
28.3b	(tan (* PI l))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

18.0ms	(/ (tan (* PI l)) F)
15.0ms	(* PI l)
22.0ms	(* PI l)
17.0ms	(tan (* PI l))

series297.0ms

Counts

4 → 12

Calls

4 calls:

139.0ms	(/ (tan (* PI l)) F)
22.0ms	(* PI l)
24.0ms	(* PI l)
111.0ms	(tan (* PI l))

simplify1.7s

Counts: 84 → 84

prune307.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
28.2b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite108.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 55

Calls

4 calls:

52.0ms	(* (sqrt PI) (* (sqrt PI) l))
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
51.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series115.0ms

Counts

4 → 8

Calls

4 calls:

30.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
84.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify1.3s

Counts: 63 → 63

prune390.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.4b

localize26.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
28.0b	(tan (* (sqrt (sqrt PI)) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

rewrite104.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot`

Counts

4 → 47

Calls

4 calls:

2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
96.0ms	(tan (* (sqrt (sqrt PI)) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

series112.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
111.0ms	(tan (* (sqrt (sqrt PI)) (* (sqrt (sqrt PI)) (* (sqrt PI) l))))

simplify2.7s

Counts: 53 → 53

prune275.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.4b

regimes687.0ms

Accuracy

0% (0.3b remaining)

Error of 12.1b against oracle of 11.8b and baseline of 12.1b

bsearch0.0ms

simplify3.4s

end0.0ms

sample9.5s

Algorithm

intervals

Results

3.9s	777×	body	2560	valid
2.3s	1658×	body	1280	valid
1.3s	985×	body	640	valid
1.1s	4576×	body	80	valid
253.0ms	414×	body	320	valid
195.0ms	6×	body	10240	exit
58.0ms	196×	body	160	valid