Details

sample700.0ms

Algorithm

intervals

Results

261.0ms	148×	body	80	valid
169.0ms	57×	body	1280	valid
167.0ms	21×	body	2560	valid
26.0ms	32×	body	640	valid
9.0ms	12×	body	320	valid
2.0ms	5×	body	160	valid

simplify178.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(/ 1.0 (* F F))
6.0b	(* (/ 1.0 (* F F)) (tan (* PI l)))
29.6b	(tan (* PI l))

rewrite100.0ms

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)
13.0ms	(/ 1.0 (* F F))
66.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
9.0ms	(tan (* PI l))

series319.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
33.0ms	(/ 1.0 (* F F))
148.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
114.0ms	(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

prune330.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 11.1b

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
29.6b	(tan (* PI l))

rewrite52.0ms

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:

17.0ms	(/ (tan (* PI l)) F)
13.0ms	(* PI l)
7.0ms	(* PI l)
12.0ms	(tan (* PI l))

series328.0ms

Counts

4 → 12

Calls

4 calls:

156.0ms	(/ (tan (* PI l)) F)
37.0ms	(* PI l)
23.0ms	(* PI l)
112.0ms	(tan (* PI l))

simplify2.0s

Counts

84 → 84

Iterations

Useful iterations: 3 (831.0ms)

Iter	Nodes	Cost
0	106	669
1	216	646
2	677	604
3	3376	594
done	5000	594

prune338.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 11.1b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
29.6b	(tan (* PI l))

rewrite112.0ms

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:

15.0ms	(* PI l)
11.0ms	(* PI l)
63.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
17.0ms	(tan (* PI l))

series417.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(* PI l)
25.0ms	(* PI l)
256.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
107.0ms	(tan (* PI l))

simplify973.0ms

Counts

100 → 100

Iterations

Useful iterations: done (969.0ms)

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

prune467.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 11.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) l)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
29.7b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite79.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 56

Calls

4 calls:

16.0ms	(* (sqrt PI) l)
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
57.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series215.0ms

Counts

4 → 8

Calls

4 calls:

99.0ms	(* (sqrt PI) l)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
116.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify1.7s

Counts

64 → 64

Iterations

Useful iterations: 3 (543.0ms)

Iter	Nodes	Cost
0	70	414
1	139	385
2	467	321
3	2532	319
done	5001	319

prune299.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 11.0b

regimes579.0ms

Accuracy

0% (0.3b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	27
1	21	27
done	21	27

end0.0ms

sample9.5s

Algorithm

intervals

Results

3.9s	800×	body	2560	valid
2.9s	1679×	body	1280	valid
1.3s	4591×	body	80	valid
643.0ms	929×	body	640	valid
175.0ms	406×	body	320	valid
119.0ms	192×	body	160	valid
60.0ms	2×	body	10240	exit