Details

sample130.0ms

Algorithm

intervals

Results

44.0ms	258×	body	80	valid
23.0ms	28×	body	1280	valid
20.0ms	32×	body	640	valid
9.0ms	21×	body	320	valid
3.0ms	11×	body	160	valid

simplify8.3s

Counts

1 → 1

Iterations

Iter	Nodes
done	5003
5	4228
4	709
3	161
2	57
1	26
0	12

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
4.7b	(* (* x (pow sin 2.0)) x)
6.4b	(* x (pow sin 2.0))
16.5b	(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

rewrite355.0ms

Algorithm

rewrite-expression-head

Rules

122×	`add-exp-log`
82×	`prod-exp`
34×	`add-cbrt-cube`
18×	`pow-to-exp` `pow-exp`
17×	`add-sqr-sqrt`
16×	`div-exp` `cbrt-unprod`
12×	`add-cube-cbrt` `*-un-lft-identity`
11×	`associate-r` `associate-l`
7×	`unpow-prod-down`
6×	`pow1`
4×	`cbrt-undiv` `add-log-exp`
3×	`times-frac` `-commutative` `associate-/l` `unswap-sqr` `sqr-pow`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 115

Calls

4 calls:

143.0ms	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
46.0ms	(* (* x (pow sin 2.0)) x)
27.0ms	(* x (pow sin 2.0))
128.0ms	(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

series1.7s

Counts

4 → 12

Calls

4 calls:

618.0ms	(/ (cos (* 2.0 x)) (* (pow cos 2.0) (* (* x (pow sin 2.0)) x)))
283.0ms	(* (* x (pow sin 2.0)) x)
245.0ms	(* x (pow sin 2.0))
505.0ms	(* (pow cos 2.0) (* (* x (pow sin 2.0)) x))

simplify3.0s

Counts

127 → 127

Iterations

Iter	Nodes
done	5001
2	1517
1	423
0	171

prune1.0s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 11.8b

localize72.0ms

Local error

Found 4 expressions with local error:

4.7b	(* (* x (pow sin 2.0)) x)
4.8b	(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x)))
6.4b	(* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x))
6.4b	(* x (pow sin 2.0))

rewrite550.0ms

Algorithm

rewrite-expression-head

Rules

226×	`add-exp-log`
202×	`prod-exp`
50×	`pow-to-exp` `pow-exp`
34×	`add-cbrt-cube`
20×	`cbrt-unprod`
18×	`associate-l`
17×	`add-sqr-sqrt`
12×	`add-cube-cbrt` `-un-lft-identity` `associate-r*`
10×	`unpow-prod-down`
6×	`pow1`
4×	`*-commutative` `add-log-exp` `sqr-pow`
3×	`unswap-sqr`
1×	`pow-prod-down`

Counts

4 → 146

Calls

4 calls:

46.0ms	(* (* x (pow sin 2.0)) x)
319.0ms	(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x)))
132.0ms	(* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x))
28.0ms	(* x (pow sin 2.0))

series1.6s

Counts

4 → 12

Calls

4 calls:

294.0ms	(* (* x (pow sin 2.0)) x)
549.0ms	(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x)))
495.0ms	(* (pow cos (/ 2.0 2)) (* (* x (pow sin 2.0)) x))
258.0ms	(* x (pow sin 2.0))

simplify3.3s

Counts

158 → 158

Iterations

Iter	Nodes
done	5001
2	1366
1	414
0	163

prune1.1s

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 8.7b

localize85.0ms

Local error

Found 4 expressions with local error:

0.4b	(/ (cos (* 2.0 x)) (* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))))
4.7b	(* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)
4.8b	(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
6.4b	(* (pow cos (/ 2.0 2)) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))

rewrite2.9s

Algorithm

rewrite-expression-head

Rules

1410×	`add-exp-log`
1300×	`prod-exp`
338×	`pow-to-exp` `pow-exp`
130×	`div-exp`
74×	`add-cbrt-cube`
46×	`cbrt-unprod`
15×	`associate-l`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
6×	`pow1` `cbrt-undiv` `unpow-prod-down`
5×	`associate-r`
4×	`add-log-exp`
3×	`times-frac` `-commutative` `associate-/l`
2×	`sqr-pow`
1×	`frac-2neg` `pow-prod-down` `clear-num` `associate-/r*` `div-inv`

Counts

4 → 394

Calls

4 calls:

1.1s	(/ (cos (* 2.0 x)) (* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))))
160.0ms	(* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)
1.1s	(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
444.0ms	(* (pow cos (/ 2.0 2)) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))

series1.9s

Counts

4 → 12

Calls

4 calls:

619.0ms	(/ (cos (* 2.0 x)) (* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))))
290.0ms	(* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)
521.0ms	(* (pow cos (/ 2.0 2)) (* (pow cos (/ 2.0 2)) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x)))
508.0ms	(* (pow cos (/ 2.0 2)) (* (* (* x (pow sin (/ 2.0 2))) (pow sin (/ 2.0 2))) x))

simplify4.0s

Counts

406 → 406

Iterations

Iter	Nodes
done	5111
2	2460
1	729
0	259

prune1.1s

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 3.9b

localize110.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (pow cos (/ 2.0 2)))
4.0b	(* (* x (pow sin (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2))))
4.4b	(* (* (cbrt (pow cos (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2)))) (* (* x (pow sin (/ 2.0 2))) (* (* x (pow sin (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2))))))
4.8b	(* (pow cos (/ 2.0 2)) (* (* (cbrt (pow cos (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2)))) (* (* x (pow sin (/ 2.0 2))) (* (* x (pow sin (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2)))))))

rewrite2.1s

Algorithm

rewrite-expression-head

Rules

955×	`add-exp-log`
892×	`prod-exp`
120×	`cbrt-unprod`
116×	`pow-to-exp` `pow-exp`
109×	`add-cbrt-cube`
27×	`pow1`
16×	`pow-prod-down`
14×	`cbrt-prod`
12×	`associate-r`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down` `associate-l`
4×	`add-log-exp`
3×	`*-commutative` `sqr-pow`
1×	`pow1/3`

Counts

4 → 273

Calls

4 calls:

5.0ms	(cbrt (pow cos (/ 2.0 2)))
66.0ms	(* (* x (pow sin (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2))))
538.0ms	(* (* (cbrt (pow cos (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2)))) (* (* x (pow sin (/ 2.0 2))) (* (* x (pow sin (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2))))))
1.4s	(* (pow cos (/ 2.0 2)) (* (* (cbrt (pow cos (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2)))) (* (* x (pow sin (/ 2.0 2))) (* (* x (pow sin (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2)))))))

series2.5s

Counts

4 → 12

Calls

4 calls:

699.0ms	(cbrt (pow cos (/ 2.0 2)))
523.0ms	(* (* x (pow sin (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2))))
605.0ms	(* (* (cbrt (pow cos (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2)))) (* (* x (pow sin (/ 2.0 2))) (* (* x (pow sin (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2))))))
623.0ms	(* (pow cos (/ 2.0 2)) (* (* (cbrt (pow cos (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2)))) (* (* x (pow sin (/ 2.0 2))) (* (* x (pow sin (/ 2.0 2))) (cbrt (pow cos (/ 2.0 2)))))))

simplify5.9s

Counts

285 → 285

Iterations

Iter	Nodes
done	5000
2	3370
1	820
0	283

prune1.0s

Pruning

22 alts after pruning (22 fresh and 0 done)

Merged error: 2.4b

regimes1.8s

Accuracy

0% (3.0b remaining)

Error of 6.3b against oracle of 3.3b and baseline of 6.3b

bsearch0.0ms

simplify14.0ms

Iterations

Iter	Nodes
done	24
1	24
0	18

end0.0ms

sample5.3s

Algorithm

intervals

Results

2.8s	9037×	body	80	valid
816.0ms	835×	body	1280	valid
629.0ms	973×	body	640	valid
335.0ms	540×	body	320	valid
97.0ms	337×	body	160	valid