Details

sample135.0ms

Algorithm

intervals

Results

49.0ms	16×	body	2560	valid
34.0ms	46×	body	1280	valid
14.0ms	131×	body	80	valid
13.0ms	29×	body	640	valid
6.0ms	20×	body	320	valid
4.0ms	14×	body	160	valid

simplify5.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	13
1	11	13
2	13	13
done	13	13

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 34.1b

localize11.0ms

Local error

Found 3 expressions with local error:

6.0b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.4b	(sin (/ x (* y 2.0)))
28.1b	(tan (/ x (* y 2.0)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
5×	`add-exp-log` `add-cbrt-cube`
3×	`pow1` `associate-/r` `associate-/l` `add-log-exp`
2×	`tan-quot`
1×	`cbrt-undiv` `frac-2neg` `div-exp` `clear-num` `div-inv` `associate-/l/`

Counts

3 → 43

Calls

3 calls:

12.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series142.0ms

Counts

3 → 9

Calls

3 calls:

67.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
15.0ms	(sin (/ x (* y 2.0)))
59.0ms	(tan (/ x (* y 2.0)))

simplify2.2s

Counts

52 → 52

Iterations

Useful iterations: 3 (233.0ms)

Iter	Nodes	Cost
0	77	822
1	139	813
2	323	737
3	803	733
4	2504	733
done	5000	733

prune267.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 26.0b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune33.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 26.0b

localize24.0ms

Local error

Found 4 expressions with local error:

5.9b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
27.4b	(sin (/ x (* y 2.0)))
27.4b	(sin (/ x (* y 2.0)))
28.1b	(cos (/ x (* y 2.0)))

rewrite97.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-log-exp`
3×	`times-frac` `associate-/l*`
2×	`cbrt-undiv` `div-exp`
1×	`frac-2neg` `prod-exp` `clear-num` `associate-/r*` `associate-/r/` `sin-cos-mult` `cbrt-unprod` `div-inv`

Counts

4 → 43

Calls

4 calls:

59.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
16.0ms	(sin (/ x (* y 2.0)))
10.0ms	(sin (/ x (* y 2.0)))
10.0ms	(cos (/ x (* y 2.0)))

series85.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
18.0ms	(sin (/ x (* y 2.0)))
18.0ms	(sin (/ x (* y 2.0)))
22.0ms	(cos (/ x (* y 2.0)))

simplify8.1s

Counts

55 → 55

Iterations

Useful iterations: 3 (380.0ms)

Iter	Nodes	Cost
0	71	905
1	145	719
2	409	546
3	1223	542
4	4877	542
done	5000	542

prune267.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 26.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.2b	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
28.1b	(cos (/ x (* y 2.0)))
28.1b	(cos (/ x (* y 2.0)))
28.1b	(cos (/ x (* y 2.0)))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

80×	`cbrt-prod`
76×	`add-sqr-sqrt`
52×	`times-frac`
46×	`*-un-lft-identity`
36×	`add-cube-cbrt`
18×	`swap-sqr`
16×	`associate-r` `associate-l` `unswap-sqr`
11×	`pow1`
6×	`add-exp-log` `pow1/3` `div-inv`
4×	`cbrt-div` `add-cbrt-cube` `add-log-exp`
2×	`pow-prod-down` `pow-sqr` `pow-prod-up`
1×	`pow2` `frac-times` `pow-plus` `associate-r/` `associate-l/` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 108

Calls

4 calls:

44.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
8.0ms	(cos (/ x (* y 2.0)))
8.0ms	(cos (/ x (* y 2.0)))
8.0ms	(cos (/ x (* y 2.0)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

131.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
20.0ms	(cos (/ x (* y 2.0)))
20.0ms	(cos (/ x (* y 2.0)))
20.0ms	(cos (/ x (* y 2.0)))

simplify4.9s

Counts

120 → 120

Iterations

Useful iterations: 5 (2.9s)

Iter	Nodes	Cost
0	138	2734
1	211	2485
2	395	2371
3	711	2175
4	1356	2153
5	4893	2135
done	5000	2135

prune428.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 25.8b

regimes301.0ms

Accuracy

0% (2.5b remaining)

Error of 28.4b against oracle of 25.9b and baseline of 28.4b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: done (3.0ms)

Iter	Nodes	Cost
0	15	25
1	20	24
done	20	22

end0.0ms

sample5.2s

Algorithm

intervals

Results

1.6s	1371×	body	1280	valid
1.2s	642×	body	2560	valid
1.1s	4097×	body	80	valid
761.0ms	1004×	body	640	valid
208.0ms	572×	body	320	valid
90.0ms	314×	body	160	valid