Details

sample459.0ms

Algorithm

intervals

Results

215.0ms	30×	body	2560	valid
69.0ms	56×	body	1280	valid
22.0ms	31×	body	640	valid
19.0ms	143×	body	80	valid
3.0ms	10×	body	160	valid
1.0ms	4×	body	320	valid

simplify117.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	148
6	148
5	141
4	118
3	76
2	39
1	18
0	10

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.4b	(/ 1.0 (* F F))
3.0b	(* (/ 1.0 (* F F)) (tan (* PI l)))
30.4b	(tan (* PI l))

rewrite81.0ms

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×	`cbrt-undiv` `div-exp` `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 → 77

Calls

4 calls:

6.0ms	(* PI l)
6.0ms	(/ 1.0 (* F F))
56.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
7.0ms	(tan (* PI l))

series393.0ms

Counts

4 → 12

Calls

4 calls:

36.0ms	(* PI l)
49.0ms	(/ 1.0 (* F F))
193.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
115.0ms	(tan (* PI l))

simplify1.2s

Counts

89 → 89

Iterations

Iter	Nodes
done	5000
2	1889
1	341
0	135

prune513.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 15.1b

localize44.0ms

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)))
30.4b	(tan (* PI l))

rewrite101.0ms

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×	`prod-exp` `cbrt-unprod` `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 → 88

Calls

4 calls:

11.0ms	(* PI l)
15.0ms	(* PI l)
58.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
12.0ms	(tan (* PI l))

series389.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(* PI l)
32.0ms	(* PI l)
237.0ms	(* (/ (sqrt 1.0) F) (tan (* PI l)))
87.0ms	(tan (* PI l))

simplify1.4s

Counts

100 → 100

Iterations

Iter	Nodes
done	5001
2	1287
1	308
0	132

prune676.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 15.1b

localize49.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
1.0b	(sqrt PI)
1.0b	(sqrt PI)
30.4b	(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite123.0ms

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×	`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 → 78

Calls

4 calls:

96.0ms	(* (/ (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)))

series384.0ms

Counts

4 → 8

Calls

4 calls:

296.0ms	(* (/ (sqrt 1.0) F) (tan (* (sqrt PI) (* (sqrt PI) l))))
0.0ms	(sqrt PI)
0.0ms	(sqrt PI)
88.0ms	(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify1.2s

Counts

86 → 86

Iterations

Iter	Nodes
done	5001
2	1149
1	285
0	127

prune724.0ms

Pruning

20 alts after pruning (20 fresh and 0 done)

Merged error: 15.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.3b	(* PI l)
0.3b	(* PI l)
0.8b	(/ (cbrt (sqrt 1.0)) (/ F (tan (* PI l))))
30.4b	(tan (* PI l))

rewrite77.0ms

Algorithm

rewrite-expression-head

Rules

216×	`times-frac`
127×	`add-sqr-sqrt`
123×	`*-un-lft-identity` `add-cube-cbrt`
90×	`cbrt-prod`
45×	`sqrt-prod`
14×	`associate-/r*`
13×	`add-exp-log`
11×	`add-cbrt-cube` `tan-quot` `associate-/r/` `div-inv`
9×	`associate-/l*`
8×	`pow1`
6×	`associate-r` `associate-l`
4×	`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 → 208

Calls

4 calls:

18.0ms	(* PI l)
11.0ms	(* PI l)
24.0ms	(/ (cbrt (sqrt 1.0)) (/ F (tan (* PI l))))
6.0ms	(tan (* PI l))

series648.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* PI l)
39.0ms	(* PI l)
473.0ms	(/ (cbrt (sqrt 1.0)) (/ F (tan (* PI l))))
96.0ms	(tan (* PI l))

simplify1.9s

Counts

220 → 220

Iterations

Iter	Nodes
done	5000
2	4192
1	776
0	322

prune1.7s

Pruning

19 alts after pruning (19 fresh and 0 done)

Merged error: 15.0b

regimes992.0ms

Accuracy

0% (0.3b remaining)

Error of 12.7b against oracle of 12.4b and baseline of 12.7b

bsearch0.0ms

simplify8.0ms

Iterations

Iter	Nodes
done	21
1	21
0	16

end0.0ms

sample10.1s

Algorithm

intervals

Results

4.8s	871×	body	2560	valid
2.6s	1652×	body	1280	valid
1.2s	4502×	body	80	valid
715.0ms	976×	body	640	valid
210.0ms	378×	body	320	valid
84.0ms	3×	body	10240	exit
64.0ms	218×	body	160	valid