Details

sample1.3s

Algorithm

intervals

Results

1.0s	24×	body	2560	valid
81.0ms	52×	body	1280	valid
59.0ms	1×	body	10240	exit
35.0ms	37×	body	640	valid
27.0ms	140×	body	80	valid
12.0ms	15×	body	320	valid
3.0ms	9×	body	160	valid

simplify1.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	2002
7	2002
6	817
5	388
4	156
3	86
2	43
1	20
0	10

prune30.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.5b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
3.7b	(/ (tan (* PI l)) (* F F))
31.5b	(tan (* PI l))

rewrite59.0ms

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)
28.0ms	(/ (tan (* PI l)) (* F F))
18.0ms	(tan (* PI l))

series299.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
25.0ms	(* PI l)
148.0ms	(/ (tan (* PI l)) (* F F))
94.0ms	(tan (* PI l))

simplify971.0ms

Counts

82 → 82

Iterations

Iter	Nodes
done	2000
3	2000
2	709
1	230
0	102

prune880.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 8.0b

localize32.0ms

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))

rewrite38.0ms

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:

5.0ms	(* PI l)
5.0ms	(* PI l)
11.0ms	(/ (tan (* PI l)) F)
16.0ms	(tan (* PI l))

series325.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* PI l)
30.0ms	(* PI l)
154.0ms	(/ (tan (* PI l)) F)
108.0ms	(tan (* PI l))

simplify1.3s

Counts

88 → 88

Iterations

Iter	Nodes
done	2003
4	2003
3	1763
2	577
1	221
0	108

prune975.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.1b

localize39.0ms

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))

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×	`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:

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

series433.0ms

Counts

4 → 12

Calls

4 calls:

224.0ms	(/ F (tan (* PI l)))
40.0ms	(* PI l)
48.0ms	(* PI l)
121.0ms	(tan (* PI l))

simplify945.0ms

Counts

88 → 88

Iterations

Iter	Nodes
done	2000
3	2000
2	614
1	215
0	106

prune892.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.9b

localize36.0ms

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)))

rewrite196.0ms

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:

10.0ms	(* PI l)
10.0ms	(* PI l)
101.0ms	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))
72.0ms	(* 1/3 (* F (* PI l)))

series328.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
23.0ms	(* PI l)
221.0ms	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))
62.0ms	(* 1/3 (* F (* PI l)))

simplify1.0s

Counts

106 → 106

Iterations

Iter	Nodes
done	2002
3	2002
2	1012
1	332
0	138

prune1.1s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

regimes310.0ms

Accuracy

0% (0.4b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample11.9s

Algorithm

intervals

Results

4.7s	806×	body	2560	valid
3.3s	1657×	body	1280	valid
1.8s	4499×	body	80	valid
1.2s	994×	body	640	valid
408.0ms	398×	body	320	valid
170.0ms	5×	body	10240	exit
110.0ms	221×	body	160	valid