Details

sample328.0ms

Algorithm

intervals

Results

130.0ms	34×	body	2560	valid
38.0ms	41×	body	1280	valid
18.0ms	32×	body	640	valid
16.0ms	140×	body	80	valid
5.0ms	15×	body	320	valid
2.0ms	8×	body	160	valid

simplify5.7s

Counts

1 → 1

Iterations

Iter	Nodes
done	5000
7	2576
6	880
5	396
4	166
3	91
2	45
1	21
0	10

prune21.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 16.7b

localize36.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
4.4b	(/ (tan (* PI l)) (* F F))
30.3b	(tan (* PI l))

rewrite51.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 78

Calls

4 calls:

6.0ms	(* PI l)
5.0ms	(* PI l)
15.0ms	(/ (tan (* PI l)) (* F F))
21.0ms	(tan (* PI l))

series319.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* PI l)
24.0ms	(* PI l)
154.0ms	(/ (tan (* PI l)) (* F F))
108.0ms	(tan (* PI l))

simplify2.2s

Counts

90 → 90

Iterations

Iter	Nodes
done	5003
3	3184
2	719
1	240
0	108

prune562.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 9.1b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(/ (tan (* PI l)) F)
30.3b	(tan (* PI l))

rewrite44.0ms

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` `insert-posit16` `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 → 84

Calls

4 calls:

6.0ms	(* PI l)
5.0ms	(* PI l)
16.0ms	(/ (tan (* PI l)) F)
17.0ms	(tan (* PI l))

series295.0ms

Counts

4 → 12

Calls

4 calls:

33.0ms	(* PI l)
23.0ms	(* PI l)
157.0ms	(/ (tan (* PI l)) F)
81.0ms	(tan (* PI l))

simplify2.2s

Counts

96 → 96

Iterations

Iter	Nodes
done	5000
3	1776
2	599
1	229
0	114

prune527.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 7.5b

localize40.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.3b	(/ F (tan (* PI l)))
0.3b	(/ 1 (/ F (tan (* PI l))))
30.3b	(tan (* PI l))

rewrite65.0ms

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×	`expm1-log1p-u` `cbrt-undiv` `insert-posit16` `log1p-expm1-u` `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 → 146

Calls

4 calls:

6.0ms	(* PI l)
11.0ms	(/ F (tan (* PI l)))
28.0ms	(/ 1 (/ F (tan (* PI l))))
17.0ms	(tan (* PI l))

series433.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
157.0ms	(/ F (tan (* PI l)))
136.0ms	(/ 1 (/ F (tan (* PI l))))
108.0ms	(tan (* PI l))

simplify2.4s

Counts

158 → 158

Iterations

Iter	Nodes
done	5005
3	3555
2	1240
1	517
0	224

prune689.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.7b

localize35.0ms

Local error

Found 4 expressions with local error:

0.2b	(* PI l)
0.2b	(* PI l)
0.3b	(* 1/3 (* F (* PI l)))
0.8b	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))

rewrite118.0ms

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×	`expm1-log1p-u` `insert-posit16` `log1p-expm1-u` `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 → 102

Calls

4 calls:

6.0ms	(* PI l)
6.0ms	(* PI l)
44.0ms	(* 1/3 (* F (* PI l)))
61.0ms	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))

series279.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
26.0ms	(* PI l)
36.0ms	(* 1/3 (* F (* PI l)))
185.0ms	(/ 1 (- (/ F (* PI l)) (* 1/3 (* F (* PI l)))))

simplify1.7s

Counts

114 → 114

Iterations

Iter	Nodes
done	5002
2	1050
1	342
0	144

prune941.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.4b

regimes375.0ms

Accuracy

0% (0.4b remaining)

Error of 0.8b against oracle of 0.3b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	20
1	20
0	15

end0.0ms

sample9.4s

Algorithm

intervals

Results

4.3s	825×	body	2560	valid
2.5s	1711×	body	1280	valid
1.1s	977×	body	640	valid
790.0ms	4487×	body	80	valid
299.0ms	9×	body	10240	exit
165.0ms	386×	body	320	valid
67.0ms	213×	body	160	valid