Details

sample538.0ms

Algorithm

intervals

Results

142.0ms	24×	body	2560	valid
102.0ms	52×	body	1280	valid
50.0ms	37×	body	640	valid
48.0ms	15×	body	320	valid
38.0ms	140×	body	80	valid
28.0ms	1×	body	10240	exit
5.0ms	9×	body	160	valid

simplify1.1s

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

prune12.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 12.5b

localize26.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(/ (tan (* PI l)) F)
31.5b	(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×	`insert-posit16` `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 → 76

Calls

4 calls:

11.0ms	(* PI l)
10.0ms	(* PI l)
12.0ms	(/ (tan (* PI l)) F)
10.0ms	(tan (* PI l))

series314.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* PI l)
22.0ms	(* PI l)
148.0ms	(/ (tan (* PI l)) F)
107.0ms	(tan (* PI l))

simplify1.9s

Counts

88 → 88

Iterations

Iter	Nodes
4	4316
3	1431
2	533
1	211
0	108

prune378.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 9.6b

localize34.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ F (tan (* PI l)))
0.2b	(* PI l)
0.2b	(* PI l)
31.5b	(tan (* PI l))

rewrite43.0ms

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×	`insert-posit16` `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` `associate-/r/` `div-inv`

Counts

4 → 76

Calls

4 calls:

8.0ms	(/ F (tan (* PI l)))
8.0ms	(* PI l)
10.0ms	(* PI l)
16.0ms	(tan (* PI l))

series405.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(/ F (tan (* PI l)))
28.0ms	(* PI l)
45.0ms	(* PI l)
107.0ms	(tan (* PI l))

simplify1.4s

Counts

88 → 88

Iterations

Iter	Nodes
4	3218
3	1141
2	454
1	201
0	106

prune423.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 9.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))
0.3b	(* 1/3 (* F (* PI l)))

rewrite152.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt` `add-exp-log`
19×	`add-cbrt-cube`
18×	`pow1`
17×	`*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac` `associate-l`
8×	`pow-prod-down` `prod-exp` `cbrt-unprod`
7×	`associate-r`
4×	`insert-posit16` `add-log-exp`
3×	`associate-/r` `-commutative` `associate-/l*`
2×	`div-exp` `associate-/r/` `unswap-sqr`
1×	`cbrt-undiv` `rec-exp` `clear-num` `frac-2neg` `flip3--` `1-exp` `div-inv` `pow-flip` `flip--` `inv-pow`

Counts

4 → 94

Calls

4 calls:

6.0ms	(* PI l)
5.0ms	(* PI l)
93.0ms	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))
47.0ms	(* 1/3 (* F (* PI l)))

series323.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* PI l)
34.0ms	(* PI l)
205.0ms	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))
55.0ms	(* 1/3 (* F (* PI l)))

simplify2.0s

Counts

106 → 106

Iterations

Iter	Nodes
3	4169
2	947
1	325
0	138

prune390.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.3b

localize43.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.2b	(* PI l)
3.7b	(log (exp (* PI l)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
11×	`pow1` `*-un-lft-identity` `add-cube-cbrt`
10×	`add-cbrt-cube` `add-exp-log`
9×	`associate-r` `associate-l`
5×	`add-log-exp`
4×	`insert-posit16`
3×	`log-prod` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`exp-prod` `exp-to-pow` `rem-log-exp`

Counts

4 → 72

Calls

4 calls:

5.0ms	(* PI l)
5.0ms	(* PI l)
10.0ms	(* PI l)
3.0ms	(log (exp (* PI l)))

series155.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
45.0ms	(* PI l)
42.0ms	(* PI l)
41.0ms	(log (exp (* PI l)))

simplify2.1s

Counts

84 → 84

Iterations

Iter	Nodes
6	3308
5	827
4	288
3	176
2	132
1	80
0	49

prune400.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.3b

regimes193.0ms

Accuracy

0% (0.4b remaining)

Error of 0.7b against oracle of 0.3b and baseline of 0.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
2	18
1	18
0	15

end0.0ms

sample12.3s

Algorithm

intervals

Results

5.3s	806×	body	2560	valid
3.7s	1657×	body	1280	valid
1.3s	4499×	body	80	valid
1.2s	994×	body	640	valid
358.0ms	398×	body	320	valid
172.0ms	5×	body	10240	exit
144.0ms	221×	body	160	valid