Details

sample352.0ms

Algorithm

intervals

Results

135.0ms	54×	body	1280	valid
105.0ms	22×	body	2560	valid
20.0ms	30×	body	640	valid
18.0ms	143×	body	80	valid
9.0ms	22×	body	320	valid
2.0ms	10×	body	160	valid

simplify8.0ms

Counts: 1 → 1

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ 1.0 (* F F))
4.1b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.8b	(tan (* PI l))

rewrite127.0ms

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)
9.0ms	(/ 1.0 (* F F))
89.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
18.0ms	(tan (* PI l))

series403.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* PI l)
44.0ms	(/ 1.0 (* F F))
235.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
95.0ms	(tan (* PI l))

simplify55.0ms

Counts: 89 → 89

prune381.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 12.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
31.8b	(tan (* PI l))

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `times-frac`
9×	`associate-r`
4×	`prod-exp` `cbrt-unprod` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 78

Calls

4 calls:

14.0ms	(* PI l)
15.0ms	(* PI l)
51.0ms	(* (/ 1.0 F) (tan (* PI l)))
17.0ms	(tan (* PI l))

series355.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
33.0ms	(* PI l)
193.0ms	(* (/ 1.0 F) (tan (* PI l)))
104.0ms	(tan (* PI l))

simplify94.0ms

Counts: 90 → 90

prune399.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.9b

localize40.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* (/ 1.0 F) (tan (* PI l))))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))

rewrite60.0ms

Algorithm

rewrite-expression-head

Rules

5×	`tan-quot`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div`
1×	`cbrt-prod` `frac-times` `pow1/3` `associate-r/` `associate-l/`

Counts

4 → 36

Calls

4 calls:

27.0ms	(cbrt (* (/ 1.0 F) (tan (* PI l))))
15.0ms	(tan (* PI l))
9.0ms	(tan (* PI l))
8.0ms	(tan (* PI l))

series718.0ms

Counts

4 → 12

Calls

4 calls:

440.0ms	(cbrt (* (/ 1.0 F) (tan (* PI l))))
92.0ms	(tan (* PI l))
102.0ms	(tan (* PI l))
84.0ms	(tan (* PI l))

simplify40.0ms

Counts: 48 → 48

prune359.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 11.9b

localize64.0ms

Local error

Found 4 expressions with local error:

7.5b	(cbrt (* (/ 1.0 F) (tan (* PI l))))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))
31.8b	(tan (* PI l))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

5×	`tan-quot`
4×	`pow1` `add-exp-log` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div`
1×	`cbrt-prod` `frac-times` `pow1/3` `associate-r/` `associate-l/`

Counts

4 → 36

Calls

4 calls:

30.0ms	(cbrt (* (/ 1.0 F) (tan (* PI l))))
17.0ms	(tan (* PI l))
17.0ms	(tan (* PI l))
17.0ms	(tan (* PI l))

series755.0ms

Counts

4 → 12

Calls

4 calls:

430.0ms	(cbrt (* (/ 1.0 F) (tan (* PI l))))
94.0ms	(tan (* PI l))
120.0ms	(tan (* PI l))
111.0ms	(tan (* PI l))

simplify37.0ms

Counts: 48 → 48

prune282.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 11.9b

regimes655.0ms

Accuracy

0% (0.4b remaining)

Error of 12.4b against oracle of 12.0b and baseline of 12.4b

bsearch0.0ms

simplify102.0ms

end0.0ms

sample9.9s

Algorithm

intervals

Results

4.6s	815×	body	2560	valid
2.8s	1642×	body	1280	valid
801.0ms	1023×	body	640	valid
745.0ms	4530×	body	80	valid
284.0ms	405×	body	320	valid
158.0ms	3×	body	10240	exit
65.0ms	223×	body	160	valid