Details

sample515.0ms

Algorithm

intervals

Results

157.0ms	57×	body	1280	valid
128.0ms	22×	body	2560	valid
38.0ms	1×	body	10240	exit
34.0ms	27×	body	640	valid
34.0ms	156×	body	80	valid
9.0ms	10×	body	320	valid
5.0ms	11×	body	160	valid

simplify1.2s

Counts

1 → 1

Iterations

Iter	Nodes
12	974
11	974
10	972
9	868
8	710
7	513
6	412
5	279
4	149
3	90
2	43
1	19
0	10

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.8b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
30.4b	(tan (* PI l))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`times-frac`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow-prod-down` `prod-exp` `tan-quot` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`cbrt-undiv` `clear-num` `frac-2neg` `div-exp` `div-inv` `associate-/l/`

Counts

4 → 84

Calls

4 calls:

18.0ms	(/ (tan (* PI l)) F)
5.0ms	(* PI l)
6.0ms	(* PI l)
9.0ms	(tan (* PI l))

series297.0ms

Counts

4 → 12

Calls

4 calls:

152.0ms	(/ (tan (* PI l)) F)
28.0ms	(* PI l)
22.0ms	(* PI l)
92.0ms	(tan (* PI l))

simplify2.0s

Counts

96 → 96

Iterations

Iter	Nodes
4	4376
3	1479
2	556
1	219
0	114

prune892.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 10.2b

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.8b	(/ 1 (/ F (tan (* PI l))))
30.4b	(tan (* PI l))

rewrite76.0ms

Algorithm

rewrite-expression-head

Rules

78×	`times-frac`
55×	`add-sqr-sqrt`
51×	`*-un-lft-identity` `add-cube-cbrt`
19×	`add-exp-log`
14×	`associate-/r*`
13×	`add-cbrt-cube`
9×	`pow1`
7×	`div-exp`
6×	`associate-r` `associate-l`
5×	`tan-quot` `associate-/r/` `div-inv`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `associate-/l*`
2×	`rec-exp` `1-exp` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `frac-2neg` `pow-flip` `inv-pow`

Counts

4 → 136

Calls

4 calls:

16.0ms	(* PI l)
11.0ms	(* PI l)
30.0ms	(/ 1 (/ F (tan (* PI l))))
17.0ms	(tan (* PI l))

series300.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* PI l)
23.0ms	(* PI l)
150.0ms	(/ 1 (/ F (tan (* PI l))))
88.0ms	(tan (* PI l))

simplify2.2s

Counts

148 → 148

Iterations

Iter	Nodes
3	2710
2	1033
1	464
0	207

prune1.5s

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 10.2b

localize27.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.2b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite88.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1`
10×	`add-sqr-sqrt`
9×	`add-cbrt-cube` `add-exp-log` `sqrt-prod`
8×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-l`
4×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`associate-r` `tan-quot` `*-commutative`

Counts

4 → 67

Calls

4 calls:

42.0ms	(* (sqrt PI) (* (sqrt PI) l))
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
40.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series140.0ms

Counts

4 → 8

Calls

4 calls:

38.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
102.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify2.5s

Counts

75 → 75

Iterations

Iter	Nodes
4	3821
3	1244
2	428
1	160
0	79

prune902.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 10.2b

localize43.0ms

Local error

Found 4 expressions with local error:

1.0b	(sqrt PI)
1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.7b	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

rewrite86.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt`
9×	`sqrt-prod`
7×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `add-cbrt-cube` `add-exp-log` `insert-posit16` `log1p-expm1-u` `add-log-exp`
3×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`tan-quot`

Counts

4 → 59

Calls

4 calls:

1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
82.0ms	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

series90.0ms

Counts

4 → 6

Calls

4 calls:

0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
90.0ms	(tan (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) (* (sqrt PI) l)))

simplify4.8s

Counts

65 → 65

Iterations

Iter	Nodes
5	7791
4	1872
3	654
2	237
1	98
0	55

prune883.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 10.2b

regimes925.0ms

Accuracy

48.2% (2.0b remaining)

Error of 9.9b against oracle of 7.9b and baseline of 11.8b

bsearch4.0ms

simplify11.0ms

Iterations

Iter	Nodes
2	25
1	25
0	22

end0.0ms

sample11.4s

Algorithm

intervals

Results

4.6s	750×	body	2560	valid
3.7s	1659×	body	1280	valid
1.1s	937×	body	640	valid
1.1s	4590×	body	80	valid
404.0ms	465×	body	320	valid
151.0ms	218×	body	160	valid
151.0ms	4×	body	10240	exit