Details

sample496.0ms

Algorithm

intervals

Results

235.0ms	30×	body	2560	valid
134.0ms	59×	body	1280	valid
18.0ms	131×	body	80	valid
15.0ms	27×	body	640	valid
6.0ms	14×	body	320	valid
4.0ms	12×	body	160	valid

simplify123.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	10	14
1	23	14
2	113	14
3	157	14
done	157	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.9b	(/ 1.0 (* F F))
3.9b	(* (/ 1.0 (* F F)) (tan (* PI l)))
33.2b	(tan (* PI l))

rewrite101.0ms

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:

7.0ms	(* PI l)
8.0ms	(/ 1.0 (* F F))
60.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
18.0ms	(tan (* PI l))

series366.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
36.0ms	(/ 1.0 (* F F))
174.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
123.0ms	(tan (* PI l))

simplify3.0s

Counts

89 → 89

Iterations

Useful iterations: done (3.0s)

Iter	Nodes	Cost
0	135	872
1	1329	846
done	5001	722

prune358.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 13.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(/ (tan (* PI l)) F)
33.2b	(tan (* PI l))

rewrite57.0ms

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:

14.0ms	(* PI l)
14.0ms	(* PI l)
13.0ms	(/ (tan (* PI l)) F)
13.0ms	(tan (* PI l))

series302.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* PI l)
26.0ms	(* PI l)
154.0ms	(/ (tan (* PI l)) F)
92.0ms	(tan (* PI l))

simplify4.3s

Counts

84 → 84

Iterations

Useful iterations: done (4.3s)

Iter	Nodes	Cost
0	106	669
1	902	646
done	5000	594

prune330.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (tan (* PI l)) (/ 1 F))
33.2b	(tan (* PI l))

rewrite84.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt`
19×	`associate-r`
17×	`add-exp-log` `*-un-lft-identity`
16×	`add-cube-cbrt`
13×	`add-cbrt-cube`
11×	`times-frac`
10×	`pow1`
9×	`associate-l`
6×	`prod-exp`
5×	`unswap-sqr`
4×	`cbrt-unprod` `add-log-exp`
3×	`tan-quot` `pow-prod-down` `*-commutative`
2×	`div-exp`
1×	`cbrt-undiv` `frac-times` `rec-exp` `1-exp` `associate-r/` `associate-l/` `un-div-inv` `div-inv`

Counts

4 → 82

Calls

4 calls:

18.0ms	(* PI l)
14.0ms	(* PI l)
32.0ms	(* (tan (* PI l)) (/ 1 F))
14.0ms	(tan (* PI l))

series338.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* PI l)
42.0ms	(* PI l)
158.0ms	(* (tan (* PI l)) (/ 1 F))
100.0ms	(tan (* PI l))

simplify7.3s

Counts

94 → 94

Iterations

Useful iterations: done (7.3s)

Iter	Nodes	Cost
0	131	797
1	1683	684
done	5000	608

prune365.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 13.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt F)
0.6b	(cbrt F)
0.6b	(cbrt F)
33.2b	(tan (* PI l))

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 41

Calls

4 calls:

1.0ms	(cbrt F)
1.0ms	(cbrt F)
1.0ms	(cbrt F)
8.0ms	(tan (* PI l))

series898.0ms

Counts

4 → 12

Calls

4 calls:

310.0ms	(cbrt F)
242.0ms	(cbrt F)
250.0ms	(cbrt F)
96.0ms	(tan (* PI l))

simplify3.2s

Counts

53 → 53

Iterations

Useful iterations: 2 (256.0ms)

Iter	Nodes	Cost
0	51	294
1	151	282
2	1204	247
done	5001	247

prune323.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 13.8b

regimes531.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	23
1	20	23
done	20	23

end0.0ms

sample10.0s

Algorithm

intervals

Results

4.2s	816×	body	2560	valid
2.9s	1704×	body	1280	valid
1.2s	4526×	body	80	valid
780.0ms	929×	body	640	valid
349.0ms	379×	body	320	valid
99.0ms	3×	body	10240	exit
63.0ms	214×	body	160	valid