Details

sample361.0ms

Algorithm

intervals

Results

144.0ms	31×	body	2560	valid
81.0ms	29×	body	640	valid
46.0ms	43×	body	1280	valid
19.0ms	155×	body	80	valid
6.0ms	16×	body	320	valid
2.0ms	6×	body	160	valid

simplify195.0ms

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

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.9b	(/ 1.0 (* F F))
2.3b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.2b	(tan (* PI l))

rewrite98.0ms

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:

8.0ms	(* PI l)
15.0ms	(/ 1.0 (* F F))
61.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
10.0ms	(tan (* PI l))

series434.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(* PI l)
49.0ms	(/ 1.0 (* F F))
227.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
132.0ms	(tan (* PI l))

simplify1.2s

Counts

97 → 97

Iterations

Useful iterations: 2 (338.0ms)

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

prune454.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 12.9b

localize18.0ms

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)))
29.2b	(tan (* PI l))

rewrite107.0ms

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:

7.0ms	(* PI l)
8.0ms	(* PI l)
68.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
18.0ms	(tan (* PI l))

series428.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
22.0ms	(* PI l)
269.0ms	(* (/ (cbrt 1.0) F) (tan (* PI l)))
104.0ms	(tan (* PI l))

simplify971.0ms

Counts

108 → 108

Iterations

Useful iterations: done (962.0ms)

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

prune558.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.8b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(/ (* (cbrt 1.0) (tan (* PI l))) F)
29.2b	(tan (* PI l))

rewrite85.0ms

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:

15.0ms	(* PI l)
14.0ms	(* PI l)
44.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
9.0ms	(tan (* PI l))

series395.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(* PI l)
22.0ms	(* PI l)
248.0ms	(/ (* (cbrt 1.0) (tan (* PI l))) F)
100.0ms	(tan (* PI l))

simplify1.0s

Counts

86 → 86

Iterations

Useful iterations: done (1.0s)

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

prune522.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.8b

localize21.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.8b	(/ 1 (/ F (* (cbrt 1.0) (tan (* PI l)))))
29.2b	(tan (* PI l))

rewrite124.0ms

Algorithm

rewrite-expression-head

Rules

36×	`times-frac`
29×	`add-exp-log` `add-sqr-sqrt`
25×	`add-cube-cbrt` `*-un-lft-identity`
16×	`add-cbrt-cube`
12×	`div-exp`
9×	`pow1`
8×	`associate-/r*`
6×	`associate-r` `associate-l`
5×	`tan-quot` `cbrt-undiv` `prod-exp` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `associate-*r/` `log1p-expm1-u` `add-log-exp`
3×	`rec-exp` `1-exp` `cbrt-unprod` `associate-/l*`
2×	`pow-prod-down` `*-commutative` `unswap-sqr`
1×	`pow-flip` `frac-2neg` `clear-num` `inv-pow`

Counts

4 → 112

Calls

4 calls:

15.0ms	(* PI l)
15.0ms	(* PI l)
60.0ms	(/ 1 (/ F (* (cbrt 1.0) (tan (* PI l)))))
27.0ms	(tan (* PI l))

series436.0ms

Counts

4 → 12

Calls

4 calls:

50.0ms	(* PI l)
41.0ms	(* PI l)
217.0ms	(/ 1 (/ F (* (cbrt 1.0) (tan (* PI l)))))
128.0ms	(tan (* PI l))

simplify1.0s

Counts

124 → 124

Iterations

Useful iterations: 2 (249.0ms)

Iter	Nodes	Cost
0	183	1405
1	437	1253
2	1814	1157
done	5000	1157

prune533.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 12.8b

regimes720.0ms

Accuracy

0% (0.3b remaining)

Error of 13.1b against oracle of 12.8b and baseline of 13.1b

bsearch0.0ms

simplify11.0ms

Iterations

Useful iterations: 2 (8.0ms)

Iter	Nodes	Cost
0	19	30
1	25	27
2	27	25
done	27	25

end0.0ms

sample10.0s

Algorithm

intervals

Results

4.5s	867×	body	2560	valid
3.2s	1667×	body	1280	valid
809.0ms	4584×	body	80	valid
661.0ms	924×	body	640	valid
169.0ms	393×	body	320	valid
159.0ms	5×	body	10240	exit
52.0ms	182×	body	160	valid