Details

sample735.0ms

Algorithm

intervals

Results

245.0ms	31×	body	2560	valid
125.0ms	55×	body	1280	valid
93.0ms	140×	body	80	valid
74.0ms	18×	body	320	valid
68.0ms	35×	body	640	valid
2.0ms	5×	body	160	valid

simplify204.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	142
7	142
6	139
5	125
4	109
3	70
2	41
1	19
0	10

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize54.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.6b	(/ 1.0 (* F F))
4.4b	(* (/ 1.0 (* F F)) (tan (* PI l)))
32.8b	(tan (* PI l))

rewrite113.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-cbrt-cube` `add-exp-log`
17×	`add-sqr-sqrt`
11×	`*-un-lft-identity` `add-cube-cbrt`
10×	`associate-l`
8×	`pow1`
7×	`times-frac`
6×	`associate-r` `prod-exp` `cbrt-unprod`
4×	`expm1-log1p-u` `cbrt-undiv` `div-exp` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot` `associate-/l*` `unswap-sqr`
2×	`pow-prod-down` `*-commutative` `div-inv`
1×	`frac-times` `clear-num` `associate-/r` `frac-2neg` `associate-l/` `associate-*r/`

Counts

4 → 85

Calls

4 calls:

11.0ms	(* PI l)
12.0ms	(/ 1.0 (* F F))
68.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
16.0ms	(tan (* PI l))

series314.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
30.0ms	(/ 1.0 (* F F))
164.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
96.0ms	(tan (* PI l))

simplify1.4s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1224
1	343
0	143

prune574.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 14.2b

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.4b	(* (/ (sqrt 1.0) F) (tan (* PI l)))
32.8b	(tan (* PI l))

rewrite56.0ms

Algorithm

rewrite-expression-head

Rules

34×	`add-sqr-sqrt`
28×	`associate-l`
22×	`*-un-lft-identity` `add-cube-cbrt`
20×	`times-frac`
13×	`add-cbrt-cube` `add-exp-log`
10×	`pow1` `sqrt-prod`
9×	`associate-r`
5×	`unswap-sqr`
4×	`expm1-log1p-u` `prod-exp` `cbrt-unprod` `log1p-expm1-u` `add-log-exp`
3×	`pow-prod-down` `tan-quot` `*-commutative`
1×	`frac-times` `cbrt-undiv` `div-exp` `associate-l/` `associate-r/` `div-inv`

Counts

4 → 96

Calls

4 calls:

5.0ms	(* PI l)
6.0ms	(* PI l)
34.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
6.0ms	(tan (* PI l))

series420.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(* PI l)
28.0ms	(* PI l)
244.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
125.0ms	(tan (* PI l))

simplify2.1s

Counts

108 → 108

Iterations

Iter	Nodes
done	5000
3	2961
2	915
1	317
0	138

prune760.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 14.2b

localize52.0ms

Local error

Found 4 expressions with local error:

0.4b	(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
32.6b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite87.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt`
22×	`associate-l`
20×	`*-un-lft-identity` `times-frac` `add-cube-cbrt`
16×	`sqrt-prod`
9×	`add-cbrt-cube` `add-exp-log`
8×	`pow1`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`associate-r` `tan-quot` `unswap-sqr`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `prod-exp` `cbrt-unprod`
1×	`frac-times` `cbrt-undiv` `div-exp` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative` `div-inv`

Counts

4 → 86

Calls

4 calls:

61.0ms	(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0ms	(sqrt PI)
1.0ms	(sqrt PI)
22.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

series377.0ms

Counts

4 → 8

Calls

4 calls:

274.0ms	(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
102.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify2.2s

Counts

94 → 94

Iterations

Iter	Nodes
done	5000
3	2553
2	825
1	294
0	133

prune761.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.2b

localize53.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.7b	(/ (sqrt (cbrt 1.0)) (/ F (tan (* PI l))))
32.8b	(tan (* PI l))

rewrite50.0ms

Algorithm

rewrite-expression-head

Rules

216×	`times-frac`
127×	`add-sqr-sqrt`
123×	`*-un-lft-identity` `add-cube-cbrt`
90×	`sqrt-prod`
45×	`cbrt-prod`
14×	`associate-/r*`
13×	`add-cbrt-cube` `add-exp-log`
11×	`tan-quot` `associate-/r/` `div-inv`
9×	`associate-/l*`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`cbrt-undiv` `div-exp`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`clear-num` `frac-2neg`

Counts

4 → 216

Calls

4 calls:

5.0ms	(* PI l)
5.0ms	(* PI l)
23.0ms	(/ (sqrt (cbrt 1.0)) (/ F (tan (* PI l))))
6.0ms	(tan (* PI l))

series466.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* PI l)
24.0ms	(* PI l)
293.0ms	(/ (sqrt (cbrt 1.0)) (/ F (tan (* PI l))))
126.0ms	(tan (* PI l))

simplify1.9s

Counts

228 → 228

Iterations

Iter	Nodes
done	5001
2	2051
1	786
0	329

prune1.9s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 14.2b

regimes1.0s

Accuracy

0% (0.3b remaining)

Error of 12.4b against oracle of 12.1b and baseline of 12.4b

bsearch0.0ms

simplify5.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample9.5s

Algorithm

intervals

Results

4.0s	779×	body	2560	valid
2.8s	1752×	body	1280	valid
701.0ms	938×	body	640	valid
685.0ms	4542×	body	80	valid
513.0ms	203×	body	160	valid
239.0ms	396×	body	320	valid
227.0ms	6×	body	10240	exit