Details

sample689.0ms

Algorithm

intervals

Results

188.0ms	56×	body	1280	valid
128.0ms	18×	body	2560	valid
81.0ms	140×	body	80	valid
69.0ms	39×	body	640	valid
7.0ms	13×	body	320	valid
2.0ms	6×	body	160	valid

simplify113.0ms

Counts: 1 → 1

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.5b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ 1.0 (* F F))
3.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.0b	(tan (* PI l))

rewrite113.0ms

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:

11.0ms	(* PI l)
9.0ms	(/ 1.0 (* F F))
65.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
20.0ms	(tan (* PI l))

series788.0ms

Counts

4 → 12

Calls

4 calls:

47.0ms	(* PI l)
68.0ms	(/ 1.0 (* F F))
393.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
279.0ms	(tan (* PI l))

simplify736.0ms

Counts: 89 → 89

prune293.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.3b

localize32.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (cbrt 1.0) F) (tan (* PI l)))
31.0b	(tan (* PI l))

rewrite104.0ms

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:

7.0ms	(* PI l)
7.0ms	(* PI l)
68.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
18.0ms	(tan (* PI l))

series349.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
27.0ms	(* PI l)
220.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
74.0ms	(tan (* PI l))

simplify1.9s

Counts: 100 → 100

prune540.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 10.2b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
0.3b	(* PI l)
0.3b	(* PI l)
31.0b	(tan (* PI l))

rewrite136.0ms

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:

85.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
15.0ms	(* PI l)
15.0ms	(* PI l)
18.0ms	(tan (* PI l))

series476.0ms

Counts

4 → 12

Calls

4 calls:

287.0ms	(* (/ (* (cbrt 1.0) (cbrt 1.0)) F) (/ (* (cbrt 1.0) (tan (* PI l))) F))
39.0ms	(* PI l)
39.0ms	(* PI l)
111.0ms	(tan (* PI l))

simplify1.1s

Counts: 102 → 102

prune414.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 10.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
31.0b	(tan (* PI l))

rewrite67.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 66

Calls

4 calls:

22.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
11.0ms	(* PI l)
22.0ms	(* PI l)
10.0ms	(tan (* PI l))

series367.0ms

Counts

4 → 12

Calls

4 calls:

244.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
21.0ms	(* PI l)
22.0ms	(* PI l)
80.0ms	(tan (* PI l))

simplify526.0ms

Counts: 78 → 78

prune266.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.2b

regimes568.0ms

Accuracy

0% (0.4b remaining)

Error of 12.3b against oracle of 11.9b and baseline of 12.3b

bsearch0.0ms

simplify1.7s

end0.0ms

sample9.6s

Algorithm

intervals

Results

4.4s	802×	body	2560	valid
2.4s	1680×	body	1280	valid
1.1s	4566×	body	80	valid
790.0ms	917×	body	640	valid
185.0ms	408×	body	320	valid
182.0ms	5×	body	10240	exit
66.0ms	207×	body	160	valid