Details

sample511.0ms

Algorithm

intervals

Results

345.0ms	31×	body	2560	valid
48.0ms	55×	body	1280	valid
16.0ms	35×	body	640	valid
12.0ms	140×	body	80	valid
5.0ms	18×	body	320	valid
1.0ms	5×	body	160	valid

simplify135.0ms

Counts

1 → 1

Iterations

Iter	Nodes
done	164
7	164
6	162
5	152
4	126
3	82
2	41
1	19
0	10

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 18.9b

localize22.0ms

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))

rewrite77.0ms

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:

6.0ms	(* PI l)
14.0ms	(/ 1.0 (* F F))
46.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
8.0ms	(tan (* PI l))

series381.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(* PI l)
34.0ms	(/ 1.0 (* F F))
218.0ms	(* (/ 1.0 (* F F)) (tan (* PI l)))
100.0ms	(tan (* PI l))

simplify1.3s

Counts

97 → 97

Iterations

Iter	Nodes
done	5001
2	1985
1	352
0	143

prune637.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 14.2b

localize42.0ms

Local error

Found 4 expressions with local error:

0.2b	(/ (tan (* l PI)) F)
0.3b	(* PI l)
0.3b	(* l PI)
32.8b	(tan (* l PI))

rewrite54.0ms

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` `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 → 80

Calls

4 calls:

18.0ms	(/ (tan (* l PI)) F)
10.0ms	(* PI l)
11.0ms	(* l PI)
12.0ms	(tan (* l PI))

series307.0ms

Counts

4 → 12

Calls

4 calls:

145.0ms	(/ (tan (* l PI)) F)
44.0ms	(* PI l)
23.0ms	(* l PI)
94.0ms	(tan (* l PI))

simplify1.1s

Counts

92 → 92

Iterations

Iter	Nodes
done	5001
2	950
1	279
0	133

prune644.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.2b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt l)
0.6b	(cbrt l)
0.6b	(cbrt l)
32.7b	(tan (* (* (cbrt l) (cbrt l)) (* (cbrt l) PI)))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod`
7×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`pow1/3`
1×	`tan-quot`

Counts

4 → 49

Calls

4 calls:

1.0ms	(cbrt l)
1.0ms	(cbrt l)
1.0ms	(cbrt l)
34.0ms	(tan (* (* (cbrt l) (cbrt l)) (* (cbrt l) PI)))

series1.0s

Counts

4 → 12

Calls

4 calls:

271.0ms	(cbrt l)
277.0ms	(cbrt l)
344.0ms	(cbrt l)
129.0ms	(tan (* (* (cbrt l) (cbrt l)) (* (cbrt l) PI)))

simplify1.5s

Counts

61 → 61

Iterations

Iter	Nodes
done	5000
3	1256
2	330
1	118
0	58

prune495.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.2b

localize85.0ms

Local error

Found 4 expressions with local error:

7.1b	(cbrt (/ (tan (* l PI)) F))
32.8b	(tan (* l PI))
32.8b	(tan (* l PI))
32.8b	(tan (* l PI))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

13×	`cbrt-prod`
11×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt`
9×	`times-frac`
4×	`expm1-log1p-u` `pow1` `add-cbrt-cube` `add-exp-log` `log1p-expm1-u` `add-log-exp`
3×	`tan-quot`
1×	`cbrt-div` `pow1/3` `div-inv`

Counts

4 → 54

Calls

4 calls:

2.0ms	(cbrt (/ (tan (* l PI)) F))
6.0ms	(tan (* l PI))
6.0ms	(tan (* l PI))
6.0ms	(tan (* l PI))

series571.0ms

Counts

4 → 12

Calls

4 calls:

259.0ms	(cbrt (/ (tan (* l PI)) F))
109.0ms	(tan (* l PI))
115.0ms	(tan (* l PI))
87.0ms	(tan (* l PI))

simplify2.1s

Counts

66 → 66

Iterations

Iter	Nodes
done	5001
3	2624
2	574
1	209
0	115

prune642.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 14.2b

regimes953.0ms

Accuracy

0% (0.6b remaining)

Error of 12.7b against oracle of 12.1b and baseline of 12.7b

bsearch0.0ms

simplify4.0ms

Iterations

Iter	Nodes
done	22
1	22
0	17

end0.0ms

sample9.5s

Algorithm

intervals

Results

4.3s	779×	body	2560	valid
3.0s	1752×	body	1280	valid
688.0ms	938×	body	640	valid
661.0ms	4542×	body	80	valid
225.0ms	6×	body	10240	exit
169.0ms	396×	body	320	valid
107.0ms	203×	body	160	valid