Details

sample318.0ms

Algorithm

intervals

Results

137.0ms	15×	body	2560	valid
68.0ms	55×	body	1280	valid
20.0ms	35×	body	640	valid
17.0ms	145×	body	80	valid
7.0ms	14×	body	320	valid
3.0ms	11×	body	160	valid

simplify258.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	41	14
3	82	14
4	126	14
5	152	14
6	162	14
7	164	14
done	164	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.7b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.9b	(tan (* PI l))

rewrite104.0ms

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` `expm1-log1p-u` `div-exp` `log1p-expm1-u` `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 → 85

Calls

4 calls:

13.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
57.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
20.0ms	(tan (* PI l))

series397.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* PI l)
47.0ms	(/ 1.0 (* F F))
203.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
108.0ms	(tan (* PI l))

simplify1.3s

Counts

97 → 97

Iterations

Useful iterations: 2 (373.0ms)

Iter	Nodes	Cost
0	143	924
1	350	903
2	1911	789
done	5001	789

prune340.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 10.6b

localize34.0ms

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)))
29.9b	(tan (* PI l))

rewrite101.0ms

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×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `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 → 96

Calls

4 calls:

14.0ms	(* PI l)
14.0ms	(* PI l)
58.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
9.0ms	(tan (* PI l))

series424.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* PI l)
38.0ms	(* PI l)
250.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
99.0ms	(tan (* PI l))

simplify1.1s

Counts

108 → 108

Iterations

Useful iterations: done (1.1s)

Iter	Nodes	Cost
0	139	939
1	316	917
2	1260	843
done	5000	841

prune653.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.5b

localize41.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
29.9b	(tan (* PI l))

rewrite103.0ms

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×	`expm1-log1p-u` `log1p-expm1-u` `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 → 74

Calls

4 calls:

14.0ms	(* PI l)
15.0ms	(* PI l)
53.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
17.0ms	(tan (* PI l))

series401.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
24.0ms	(* PI l)
254.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
100.0ms	(tan (* PI l))

simplify1.2s

Counts

86 → 86

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	117	694
1	276	669
2	1128	605
done	5000	595

prune488.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 10.5b

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.5b	(/ (cbrt 1.0) (/ F (tan (* PI l))))
29.9b	(tan (* PI l))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

147×	`times-frac`
91×	`add-sqr-sqrt`
87×	`add-cube-cbrt` `*-un-lft-identity`
45×	`cbrt-prod`
14×	`associate-/r*`
13×	`add-exp-log`
11×	`add-cbrt-cube`
8×	`tan-quot` `pow1` `associate-/r/` `div-inv`
6×	`associate-r` `associate-l` `associate-/l*`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`frac-2neg` `clear-num`

Counts

4 → 171

Calls

4 calls:

14.0ms	(* PI l)
14.0ms	(* PI l)
20.0ms	(/ (cbrt 1.0) (/ F (tan (* PI l))))
16.0ms	(tan (* PI l))

series445.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
29.0ms	(* PI l)
286.0ms	(/ (cbrt 1.0) (/ F (tan (* PI l))))
103.0ms	(tan (* PI l))

simplify2.2s

Counts

183 → 183

Iterations

Useful iterations: done (2.2s)

Iter	Nodes	Cost
0	276	2774
1	666	2654
2	3435	2548
done	5000	2530

prune951.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 10.5b

regimes659.0ms

Accuracy

0% (0.4b remaining)

Error of 12.7b against oracle of 12.3b and baseline of 12.7b

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 2 (4.0ms)

Iter	Nodes	Cost
0	20	33
1	25	30
2	27	28
done	27	28

end0.0ms

sample9.3s

Algorithm

intervals

Results

3.6s	787×	body	2560	valid
3.1s	1745×	body	1280	valid
1.1s	4558×	body	80	valid
720.0ms	922×	body	640	valid
156.0ms	394×	body	320	valid
153.0ms	5×	body	10240	exit
60.0ms	217×	body	160	valid