Details

sample559.0ms

Algorithm

intervals

Results

241.0ms	31×	body	2560	valid
124.0ms	43×	body	1280	valid
23.0ms	155×	body	80	valid
21.0ms	29×	body	640	valid
7.0ms	16×	body	320	valid
3.0ms	6×	body	160	valid

simplify197.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	10	14
1	18	14
2	39	14
3	76	14
4	118	14
5	141	14
6	148	14
done	148	14

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize36.0ms

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))

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:

10.0ms	(* PI l)
17.0ms	(/ 1.0 (* F F))
68.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
20.0ms	(tan (* PI l))

series459.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(* PI l)
54.0ms	(/ 1.0 (* F F))
227.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
140.0ms	(tan (* PI l))

simplify1.2s

Counts

89 → 89

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	135	872
1	339	854
2	1966	740
done	5001	726

prune318.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 12.9b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 72

Calls

4 calls:

10.0ms	(* PI l)
7.0ms	(* PI l)
17.0ms	(/ (tan (* PI l)) F)
12.0ms	(tan (* PI l))

series358.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
35.0ms	(* PI l)
173.0ms	(/ (tan (* PI l)) F)
128.0ms	(tan (* PI l))

simplify2.1s

Counts

84 → 84

Iterations

Useful iterations: 3 (888.0ms)

Iter	Nodes	Cost
0	106	669
1	216	646
2	672	604
3	3213	594
done	5001	594

prune354.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 12.8b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite96.0ms

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` `add-cbrt-cube`
10×	`pow1` `sqrt-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:

10.0ms	(* PI l)
13.0ms	(* PI l)
56.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
13.0ms	(tan (* PI l))

series362.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
30.0ms	(* PI l)
222.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
86.0ms	(tan (* PI l))

simplify1.0s

Counts

100 → 100

Iterations

Useful iterations: done (999.0ms)

Iter	Nodes	Cost
0	134	900
1	309	877
2	1298	809
done	5000	797

prune464.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 12.8b

localize28.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ (sqrt 1.0) F))
0.6b	(cbrt (/ (sqrt 1.0) F))
0.6b	(cbrt (/ (sqrt 1.0) F))
29.2b	(tan (* PI l))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

66×	`cbrt-prod`
54×	`times-frac`
43×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
27×	`sqrt-prod`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 101

Calls

4 calls:

7.0ms	(cbrt (/ (sqrt 1.0) F))
7.0ms	(cbrt (/ (sqrt 1.0) F))
7.0ms	(cbrt (/ (sqrt 1.0) F))
17.0ms	(tan (* PI l))

series1.3s

Counts

4 → 12

Calls

4 calls:

414.0ms	(cbrt (/ (sqrt 1.0) F))
393.0ms	(cbrt (/ (sqrt 1.0) F))
350.0ms	(cbrt (/ (sqrt 1.0) F))
110.0ms	(tan (* PI l))

simplify948.0ms

Counts

113 → 113

Iterations

Useful iterations: done (936.0ms)

Iter	Nodes	Cost
0	125	1320
1	203	1233
2	393	1195
3	1243	1177
done	5000	1147

prune555.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 12.8b

regimes597.0ms

Accuracy

0% (0.4b remaining)

Error of 13.2b against oracle of 12.8b and baseline of 13.2b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	31
1	18	31
done	18	31

end0.0ms

sample10.1s

Algorithm

intervals

Results

4.3s	867×	body	2560	valid
2.5s	1667×	body	1280	valid
1.1s	924×	body	640	valid
849.0ms	4584×	body	80	valid
673.0ms	393×	body	320	valid
176.0ms	5×	body	10240	exit
55.0ms	182×	body	160	valid