Details

sample450.0ms

Algorithm

intervals

Results

133.0ms	32×	body	2560	valid
104.0ms	49×	body	1280	valid
28.0ms	143×	body	80	valid
23.0ms	28×	body	640	valid
11.0ms	17×	body	320	valid
2.0ms	3×	body	160	valid

simplify1.1s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
6	817
5	388
4	156
3	86
2	43
1	20
0	10

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 17.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
6.1b	(/ (tan (* PI l)) (* F F))
29.3b	(tan (* PI l))

rewrite58.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 70

Calls

4 calls:

5.0ms	(* PI l)
5.0ms	(* PI l)
26.0ms	(/ (tan (* PI l)) (* F F))
19.0ms	(tan (* PI l))

series338.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* PI l)
40.0ms	(* PI l)
154.0ms	(/ (tan (* PI l)) (* F F))
96.0ms	(tan (* PI l))

simplify625.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
2	709
1	230
0	102

prune381.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 8.9b

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* PI l)) F)
0.2b	(* PI l)
0.2b	(* PI l)
29.3b	(tan (* PI l))

rewrite58.0ms

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:

22.0ms	(/ (tan (* PI l)) F)
11.0ms	(* PI l)
11.0ms	(* PI l)
12.0ms	(tan (* PI l))

series306.0ms

Counts

4 → 12

Calls

4 calls:

148.0ms	(/ (tan (* PI l)) F)
40.0ms	(* PI l)
26.0ms	(* PI l)
93.0ms	(tan (* PI l))

simplify875.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2001
3	1729
2	583
1	221
0	108

prune474.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 6.8b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* (tan (* PI l)) (/ 1 F))
29.3b	(tan (* PI l))

rewrite53.0ms

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` `insert-posit16` `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 → 86

Calls

4 calls:

5.0ms	(* PI l)
5.0ms	(* PI l)
34.0ms	(* (tan (* PI l)) (/ 1 F))
8.0ms	(tan (* PI l))

series281.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(* PI l)
45.0ms	(* PI l)
129.0ms	(* (tan (* PI l)) (/ 1 F))
80.0ms	(tan (* PI l))

simplify735.0ms

Counts

98 → 98

Iterations

Iter	Nodes
done	2001
2	882
1	319
0	135

prune425.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 6.8b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(/ F (tan (* PI l)))
0.3b	(/ 1 (/ F (tan (* PI l))))
29.3b	(tan (* PI l))

rewrite75.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 138

Calls

4 calls:

11.0ms	(* PI l)
16.0ms	(/ F (tan (* PI l)))
28.0ms	(/ 1 (/ F (tan (* PI l))))
16.0ms	(tan (* PI l))

series555.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* PI l)
221.0ms	(/ F (tan (* PI l)))
167.0ms	(/ 1 (/ F (tan (* PI l))))
128.0ms	(tan (* PI l))

simplify840.0ms

Counts

150 → 150

Iterations

Iter	Nodes
done	2001
2	1233
1	505
0	216

prune753.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 6.8b

regimes493.0ms

Accuracy

0% (2.0b remaining)

Error of 8.1b against oracle of 6.1b and baseline of 8.1b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	18
1	18
0	13

end0.0ms

sample12.2s

Algorithm

intervals

Results

4.4s	804×	body	2560	valid
3.6s	1698×	body	1280	valid
1.9s	4597×	body	80	valid
1.2s	905×	body	640	valid
355.0ms	418×	body	320	valid
260.0ms	6×	body	10240	exit
137.0ms	208×	body	160	valid