Details

sample713.0ms

Algorithm

intervals

Results

236.0ms	36×	body	2560	valid
174.0ms	135×	body	80	valid
99.0ms	46×	body	1280	valid
45.0ms	18×	body	320	valid
25.0ms	33×	body	640	valid
1.0ms	4×	body	160	valid

simplify106.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 20.2b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.5b	(/ 1.0 (* F F))
5.3b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.8b	(tan (* PI l))

rewrite119.0ms

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:

15.0ms	(* PI l)
14.0ms	(/ 1.0 (* F F))
72.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
11.0ms	(tan (* PI l))

series319.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* PI l)
28.0ms	(/ 1.0 (* F F))
164.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
100.0ms	(tan (* PI l))

simplify626.0ms

Counts: 89 → 89

prune312.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 14.6b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
31.8b	(tan (* PI l))

rewrite83.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 88

Calls

4 calls:

8.0ms	(* PI l)
7.0ms	(* PI l)
50.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
11.0ms	(tan (* PI l))

series409.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
21.0ms	(* PI l)
273.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
82.0ms	(tan (* PI l))

simplify1.8s

Counts: 100 → 100

prune476.0ms

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 14.5b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
0.2b	(* PI l)
0.2b	(* PI l)
31.8b	(tan (* PI l))

rewrite92.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

48.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
7.0ms	(* PI l)
10.0ms	(* PI l)
24.0ms	(tan (* PI l))

series461.0ms

Counts

4 → 12

Calls

4 calls:

286.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
49.0ms	(* PI l)
37.0ms	(* PI l)
89.0ms	(tan (* PI l))

simplify1.1s

Counts: 102 → 102

prune488.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 14.4b

localize23.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ F (tan (* PI l)))
0.5b	(/ 1.0 (/ F (tan (* PI l))))
31.8b	(tan (* PI l))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 128

Calls

4 calls:

12.0ms	(* PI l)
10.0ms	(/ F (tan (* PI l)))
34.0ms	(/ 1.0 (/ F (tan (* PI l))))
16.0ms	(tan (* PI l))

series510.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* PI l)
196.0ms	(/ F (tan (* PI l)))
188.0ms	(/ 1.0 (/ F (tan (* PI l))))
85.0ms	(tan (* PI l))

simplify781.0ms

Counts: 140 → 140

prune594.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 10.1b

regimes331.0ms

Accuracy

0% (0.4b remaining)

Error of 8.5b against oracle of 8.1b and baseline of 8.5b

bsearch0.0ms

simplify727.0ms

end0.0ms

sample9.5s

Algorithm

intervals

Results

4.1s	832×	body	2560	valid
2.6s	1690×	body	1280	valid
1.2s	4553×	body	80	valid
674.0ms	926×	body	640	valid
290.0ms	430×	body	320	valid
71.0ms	3×	body	10240	exit
64.0ms	221×	body	160	valid