Details

sample868.0ms

Algorithm

intervals

Results

294.0ms	61×	body	1280	valid
293.0ms	35×	body	2560	valid
83.0ms	129×	body	80	valid
38.0ms	37×	body	640	valid
7.0ms	10×	body	320	valid
4.0ms	7×	body	160	valid

simplify337.0ms

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

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.8b	(/ 1.0 (* F F))
3.7b	(* (/ 1.0 (* F F)) (tan (* PI l)))
35.0b	(tan (* PI l))

rewrite152.0ms

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:

12.0ms	(* PI l)
14.0ms	(/ 1.0 (* F F))
88.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
28.0ms	(tan (* PI l))

series485.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(* PI l)
58.0ms	(/ 1.0 (* F F))
241.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
141.0ms	(tan (* PI l))

simplify1.4s

Counts

97 → 97

Iterations

Useful iterations: 2 (406.0ms)

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

prune671.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 15.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
35.0b	(tan (* PI l))

rewrite117.0ms

Algorithm

rewrite-expression-head

Rules

25×	`add-sqr-sqrt`
19×	`associate-l`
16×	`add-cube-cbrt` `*-un-lft-identity`
13×	`add-exp-log` `add-cbrt-cube`
10×	`pow1` `times-frac`
9×	`associate-r`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`tan-quot` `pow-prod-down` `*-commutative`
1×	`cbrt-undiv` `frac-times` `associate-r/` `div-exp` `associate-l/` `div-inv`

Counts

4 → 86

Calls

4 calls:

13.0ms	(* PI l)
13.0ms	(* PI l)
67.0ms	(* (/ 1.0 F) (tan (* PI l)))
19.0ms	(tan (* PI l))

series427.0ms

Counts

4 → 12

Calls

4 calls:

37.0ms	(* PI l)
44.0ms	(* PI l)
232.0ms	(* (/ 1.0 F) (tan (* PI l)))
115.0ms	(tan (* PI l))

simplify1.2s

Counts

98 → 98

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	131	780
1	298	758
2	1230	692
done	5001	680

prune739.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 14.9b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (* 1.0 (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
35.0b	(tan (* PI l))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

14×	`add-sqr-sqrt`
13×	`add-exp-log` `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:

43.0ms	(/ (* 1.0 (tan (* PI l))) F)
13.0ms	(* PI l)
12.0ms	(* PI l)
15.0ms	(tan (* PI l))

series397.0ms

Counts

4 → 12

Calls

4 calls:

203.0ms	(/ (* 1.0 (tan (* PI l))) F)
34.0ms	(* PI l)
34.0ms	(* PI l)
126.0ms	(tan (* PI l))

simplify1.2s

Counts

86 → 86

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	118	664
1	274	639
2	1140	567
done	5000	563

prune739.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 14.9b

localize56.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (/ 1.0 F))
0.6b	(cbrt (/ 1.0 F))
0.6b	(cbrt (/ 1.0 F))
35.0b	(tan (* PI l))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

39×	`cbrt-prod`
27×	`times-frac`
25×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-div` `pow1/3` `div-inv`
1×	`tan-quot`

Counts

4 → 82

Calls

4 calls:

5.0ms	(cbrt (/ 1.0 F))
5.0ms	(cbrt (/ 1.0 F))
5.0ms	(cbrt (/ 1.0 F))
18.0ms	(tan (* PI l))

series1.4s

Counts

4 → 12

Calls

4 calls:

408.0ms	(cbrt (/ 1.0 F))
422.0ms	(cbrt (/ 1.0 F))
432.0ms	(cbrt (/ 1.0 F))
140.0ms	(tan (* PI l))

simplify1.6s

Counts

94 → 94

Iterations

Useful iterations: 3 (383.0ms)

Iter	Nodes	Cost
0	96	826
1	156	791
2	335	759
3	1121	750
done	5000	750

prune861.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 14.9b

regimes1.2s

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: 0 (1.0ms)

Iter	Nodes	Cost
0	15	27
1	21	27
done	21	27

end0.0ms

sample12.0s

Algorithm

intervals

Results

5.2s	824×	body	2560	valid
3.8s	1767×	body	1280	valid
1.0s	4508×	body	80	valid
880.0ms	928×	body	640	valid
215.0ms	389×	body	320	valid
163.0ms	4×	body	10240	exit
80.0ms	218×	body	160	valid