Details

sample535.0ms

Algorithm

intervals

Results

200.0ms	20×	body	2560	valid
100.0ms	52×	body	1280	valid
44.0ms	35×	body	640	valid
37.0ms	143×	body	80	valid
9.0ms	12×	body	320	valid
3.0ms	5×	body	160	valid

simplify1.0s

Counts

1 → 1

Iterations

Iter	Nodes
11	939
10	939
9	887
8	713
7	493
6	401
5	274
4	144
3	85
2	41
1	18
0	10

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.4b

localize36.0ms

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))

rewrite57.0ms

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×	`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 → 72

Calls

4 calls:

19.0ms	(/ (tan (* PI l)) F)
9.0ms	(* PI l)
10.0ms	(* PI l)
15.0ms	(tan (* PI l))

series358.0ms

Counts

4 → 12

Calls

4 calls:

163.0ms	(/ (tan (* PI l)) F)
26.0ms	(* PI l)
49.0ms	(* PI l)
120.0ms	(tan (* PI l))

simplify1.7s

Counts

84 → 84

Iterations

Iter	Nodes
4	4224
3	1338
2	527
1	207
0	105

prune849.0ms

Pruning

21 alts after pruning (21 fresh and 0 done)

Merged error: 12.0b

localize37.0ms

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))

rewrite86.0ms

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×	`cbrt-unprod` `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 → 82

Calls

4 calls:

9.0ms	(* PI l)
10.0ms	(* PI l)
51.0ms	(* (tan (* PI l)) (/ 1 F))
14.0ms	(tan (* PI l))

series371.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(* PI l)
43.0ms	(* PI l)
168.0ms	(* (tan (* PI l)) (/ 1 F))
119.0ms	(tan (* PI l))

simplify7.1s

Counts

94 → 94

Iterations

Iter	Nodes
4	4491
3	1846
2	795
1	308
0	132

prune1.0s

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 12.0b

localize27.0ms

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))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 46

Calls

4 calls:

2.0ms	(cbrt (/ (tan (* PI l)) F))
14.0ms	(tan (* PI l))
7.0ms	(tan (* PI l))
7.0ms	(tan (* PI l))

series950.0ms

Counts

4 → 12

Calls

4 calls:

236.0ms	(cbrt (/ (tan (* PI l)) F))
83.0ms	(tan (* PI l))
504.0ms	(tan (* PI l))
127.0ms	(tan (* PI l))

simplify2.0s

Counts

58 → 58

Iterations

Iter	Nodes
4	4561
3	1363
2	454
1	200
0	108

prune875.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 12.0b

localize32.0ms

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)))

rewrite50.0ms

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×	`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 → 55

Calls

4 calls:

20.0ms	(* (sqrt PI) (* (sqrt PI) l))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
27.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series123.0ms

Counts

4 → 8

Calls

4 calls:

36.0ms	(* (sqrt PI) (* (sqrt PI) l))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
87.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify2.4s

Counts

63 → 63

Iterations

Iter	Nodes
4	3790
3	1180
2	407
1	150
0	70

prune655.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 12.0b

regimes830.0ms

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

sample11.4s

Algorithm

intervals

Results

4.4s	843×	body	2560	valid
3.8s	1645×	body	1280	valid
1.3s	977×	body	640	valid
1.2s	4517×	body	80	valid
278.0ms	400×	body	320	valid
149.0ms	214×	body	160	valid
63.0ms	2×	body	10240	exit