Details

sample377.0ms

Algorithm

intervals

Results

100.0ms	19×	body	2560	valid
90.0ms	32×	body	640	valid
84.0ms	62×	body	1280	valid
21.0ms	135×	body	80	valid
7.0ms	15×	body	320	valid
3.0ms	9×	body	160	valid

simplify301.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	10	14
1	19	14
2	41	14
3	82	14
4	122	14
5	147	14
6	156	14
7	158	14
done	158	14

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.6b

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
3.5b	(* (/ 1.0 (* F F)) (tan (* PI l)))
31.2b	(tan (* PI l))

rewrite116.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 82

Calls

4 calls:

14.0ms	(* PI l)
14.0ms	(* PI l)
62.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
15.0ms	(tan (* PI l))

series377.0ms

Counts

4 → 12

Calls

4 calls:

24.0ms	(* PI l)
32.0ms	(* PI l)
205.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
115.0ms	(tan (* PI l))

simplify3.2s

Counts

94 → 94

Iterations

Useful iterations: 2 (203.0ms)

Iter	Nodes	Cost
0	130	838
1	297	813
2	994	703
3	4003	703
done	5002	703

prune385.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 11.8b

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ 1.0 F) (tan (* PI l)))
31.2b	(tan (* PI l))

rewrite69.0ms

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:

7.0ms	(* PI l)
7.0ms	(* PI l)
44.0ms	(* (/ 1.0 F) (tan (* PI l)))
9.0ms	(tan (* PI l))

series386.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* PI l)
39.0ms	(* PI l)
218.0ms	(* (/ 1.0 F) (tan (* PI l)))
101.0ms	(tan (* PI l))

simplify2.4s

Counts

98 → 98

Iterations

Useful iterations: 2 (142.0ms)

Iter	Nodes	Cost
0	131	780
1	286	758
2	789	680
3	2390	680
done	5000	680

prune482.0ms

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 11.8b

localize29.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (* 1.0 (tan (* PI l))) F)
0.3b	(* PI l)
0.3b	(* PI l)
31.2b	(tan (* PI l))

rewrite70.0ms

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:

21.0ms	(/ (* 1.0 (tan (* PI l))) F)
7.0ms	(* PI l)
14.0ms	(* PI l)
27.0ms	(tan (* PI l))

series343.0ms

Counts

4 → 12

Calls

4 calls:

180.0ms	(/ (* 1.0 (tan (* PI l))) F)
29.0ms	(* PI l)
22.0ms	(* PI l)
112.0ms	(tan (* PI l))

simplify2.7s

Counts

86 → 86

Iterations

Useful iterations: 2 (176.0ms)

Iter	Nodes	Cost
0	118	664
1	258	639
2	787	563
3	3066	563
done	5001	563

prune411.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 11.8b

localize19.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
31.4b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite89.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-exp-log` `sqrt-prod` `add-cbrt-cube`
8×	`add-cube-cbrt` `*-un-lft-identity`
6×	`associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot` `associate-r` `*-commutative`

Counts

4 → 63

Calls

4 calls:

31.0ms	(* (sqrt PI) (* (sqrt PI) l))
3.0ms	(sqrt PI)
4.0ms	(sqrt PI)
49.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series148.0ms

Counts

4 → 8

Calls

4 calls:

23.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
125.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify5.3s

Counts

71 → 71

Iterations

Useful iterations: 2 (114.0ms)

Iter	Nodes	Cost
0	76	524
1	159	349
2	439	315
3	1198	315
4	4278	315
done	5000	315

prune300.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 11.8b

regimes740.0ms

Accuracy

0% (0.3b remaining)

Error of 12.5b against oracle of 12.2b and baseline of 12.5b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	25
1	24	25
done	24	25

end0.0ms

sample9.6s

Algorithm

intervals

Results

3.9s	801×	body	2560	valid
3.3s	1711×	body	1280	valid
770.0ms	4522×	body	80	valid
610.0ms	888×	body	640	valid
308.0ms	429×	body	320	valid
159.0ms	5×	body	10240	exit
98.0ms	199×	body	160	valid