Details

sample511.0ms

Algorithm

intervals

Results

162.0ms	20×	body	2560	valid
140.0ms	52×	body	1280	valid
72.0ms	35×	body	640	valid
39.0ms	143×	body	80	valid
10.0ms	12×	body	320	valid
3.0ms	5×	body	160	valid

simplify1.3s

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

prune23.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.4b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.3b	(* PI l)
0.3b	(* PI l)
29.0b	(tan (* PI l))

rewrite60.0ms

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` `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 → 80

Calls

4 calls:

21.0ms	(/ (tan (* PI l)) F)
18.0ms	(* PI l)
9.0ms	(* PI l)
8.0ms	(tan (* PI l))

series340.0ms

Counts

4 → 12

Calls

4 calls:

164.0ms	(/ (tan (* PI l)) F)
39.0ms	(* PI l)
33.0ms	(* PI l)
104.0ms	(tan (* PI l))

simplify2.0s

Counts

92 → 92

Iterations

Iter	Nodes
4	4585
3	1492
2	553
1	216
0	111

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 12.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.3b	(* (tan (* PI l)) (/ 1 F))
29.0b	(tan (* PI l))

rewrite81.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(* PI l)
10.0ms	(* PI l)
52.0ms	(* (tan (* PI l)) (/ 1 F))
7.0ms	(tan (* PI l))

series338.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
31.0ms	(* PI l)
160.0ms	(* (tan (* PI l)) (/ 1 F))
124.0ms	(tan (* PI l))

simplify1.5s

Counts

102 → 102

Iterations

Iter	Nodes
3	2379
2	857
1	316
0	138

prune1.2s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 12.0b

localize52.0ms

Local error

Found 4 expressions with local error:

9.0b	(cbrt (/ (tan (* PI l)) F))
29.0b	(tan (* PI l))
29.0b	(tan (* PI l))
29.0b	(tan (* PI l))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 54

Calls

4 calls:

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

series631.0ms

Counts

4 → 12

Calls

4 calls:

297.0ms	(cbrt (/ (tan (* PI l)) F))
114.0ms	(tan (* PI l))
121.0ms	(tan (* PI l))
99.0ms	(tan (* PI l))

simplify2.4s

Counts

66 → 66

Iterations

Iter	Nodes
4	4841
3	1422
2	476
1	206
0	112

prune1.1s

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 12.0b

localize61.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (sqrt PI) (* (sqrt PI) l))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
29.1b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite89.0ms

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` `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 → 63

Calls

4 calls:

38.0ms	(* (sqrt PI) (* (sqrt PI) l))
2.0ms	(sqrt PI)
2.0ms	(sqrt PI)
46.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series104.0ms

Counts

4 → 8

Calls

4 calls:

29.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
75.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify3.1s

Counts

71 → 71

Iterations

Iter	Nodes
4	4066
3	1276
2	435
1	158
0	76

prune785.0ms

Pruning

20 alts after pruning (19 fresh and 1 done)

Merged error: 12.0b

regimes851.0ms

Accuracy

0% (0.5b remaining)

Error of 12.0b against oracle of 11.5b and baseline of 12.0b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	19
1	19
0	15

end0.0ms

sample11.7s

Algorithm

intervals

Results

4.9s	843×	body	2560	valid
3.8s	1645×	body	1280	valid
1.2s	4517×	body	80	valid
1.1s	977×	body	640	valid
356.0ms	400×	body	320	valid
103.0ms	214×	body	160	valid
84.0ms	2×	body	10240	exit