Details

sample198.0ms

Algorithm

intervals

Results

50.0ms	26×	body	2560	valid
46.0ms	20×	body	320	valid
44.0ms	45×	body	1280	valid
19.0ms	33×	body	640	valid
17.0ms	124×	body	80	valid
3.0ms	8×	body	160	valid

simplify7.0ms

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: 35.7b

localize14.0ms

Local error

Found 3 expressions with local error:

5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.6b	(sin (/ x (* y 2.0)))
29.9b	(tan (/ x (* y 2.0)))

rewrite23.0ms

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)))

series115.0ms

Counts

3 → 9

Calls

3 calls:

51.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms	(sin (/ x (* y 2.0)))
52.0ms	(tan (/ x (* y 2.0)))

simplify1.5s

Counts

52 → 52

Iterations

Useful iterations: 3 (734.0ms)

Iter	Nodes	Cost
0	77	822
1	144	813
2	491	739
3	3059	737
done	5000	737

prune275.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 27.4b

localize1.0ms

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

prune60.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 27.4b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
5.5b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.6b	(sin (/ x (* y 2.0)))
29.9b	(tan (/ x (* y 2.0)))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

27×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `times-frac`
13×	`unpow-prod-down` `cube-prod`
9×	`add-exp-log` `add-cbrt-cube`
5×	`pow1`
4×	`add-log-exp`
3×	`pow-unpow` `associate-/r` `div-inv` `associate-/l`
2×	`tan-quot` `cbrt-undiv` `div-exp` `pow-exp` `rem-cube-cbrt`
1×	`cube-div` `cube-mult` `pow-to-exp` `pow-pow` `frac-2neg` `unpow3` `clear-num` `associate-/l/` `sqr-pow`

Counts

4 → 89

Calls

4 calls:

11.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
17.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms	(sin (/ x (* y 2.0)))
4.0ms	(tan (/ x (* y 2.0)))

series238.0ms

Counts

4 → 12

Calls

4 calls:

109.0ms	(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
57.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms	(sin (/ x (* y 2.0)))
62.0ms	(tan (/ x (* y 2.0)))

simplify1.3s

Counts

101 → 101

Iterations

Useful iterations: done (1.2s)

Iter	Nodes	Cost
0	122	2065
1	445	1912
2	2161	1762
done	5002	1755

prune588.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 27.4b

localize40.0ms

Local error

Found 4 expressions with local error:

5.5b	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
29.6b	(sin (/ x (* y 2.0)))
29.6b	(sin (/ x (* y 2.0)))
29.8b	(cos (/ x (* y 2.0)))

rewrite67.0ms

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:

32.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
15.0ms	(sin (/ x (* y 2.0)))
9.0ms	(sin (/ x (* y 2.0)))
10.0ms	(cos (/ x (* y 2.0)))

series86.0ms

Counts

4 → 12

Calls

4 calls:

31.0ms	(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
17.0ms	(sin (/ x (* y 2.0)))
16.0ms	(sin (/ x (* y 2.0)))
22.0ms	(cos (/ x (* y 2.0)))

simplify2.4s

Counts

55 → 55

Iterations

Useful iterations: 3 (520.0ms)

Iter	Nodes	Cost
0	71	905
1	145	719
2	483	546
3	3616	542
done	5001	542

prune308.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 27.4b

regimes430.0ms

Accuracy

0% (2.4b remaining)

Error of 28.2b against oracle of 25.8b and baseline of 28.2b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
done	1	1

end0.0ms

sample5.9s

Algorithm

intervals

Results

1.7s	1358×	body	1280	valid
1.6s	642×	body	2560	valid
1.1s	4136×	body	80	valid
684.0ms	981×	body	640	valid
316.0ms	610×	body	320	valid
127.0ms	273×	body	160	valid