Details

sample222.0ms

Algorithm

intervals

Results

78.0ms	18×	body	2560	valid
47.0ms	34×	body	1280	valid
32.0ms	151×	body	80	valid
23.0ms	27×	body	640	valid
11.0ms	18×	body	320	valid
4.0ms	8×	body	160	valid

simplify11.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

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

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.0b

localize29.0ms

Local error

Found 3 expressions with local error:

8.9b	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
24.4b	(tan (/ x (* y 2.0)))
24.4b	(sin (/ x (* y 2.0)))

rewrite43.0ms

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:

23.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
6.0ms	(tan (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))

series178.0ms

Counts

3 → 9

Calls

3 calls:

73.0ms	(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
86.0ms	(tan (/ x (* y 2.0)))
19.0ms	(sin (/ x (* y 2.0)))

simplify2.0s

Counts

52 → 52

Iterations

Useful iterations: 3 (664.0ms)

Iter	Nodes	Cost
0	77	822
1	144	813
2	490	739
3	3274	737
done	5000	737

prune507.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 22.4b

localize1.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify1.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune85.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 22.4b

localize35.0ms

Local error

Found 4 expressions with local error:

8.9b	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
24.3b	(cos (/ x (* y 2.0)))
24.4b	(sin (/ x (* y 2.0)))
24.4b	(sin (/ x (* y 2.0)))

rewrite115.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 91

Calls

4 calls:

68.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
11.0ms	(cos (/ x (* y 2.0)))
11.0ms	(sin (/ x (* y 2.0)))
17.0ms	(sin (/ x (* y 2.0)))

series109.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
27.0ms	(cos (/ x (* y 2.0)))
20.0ms	(sin (/ x (* y 2.0)))
21.0ms	(sin (/ x (* y 2.0)))

simplify2.3s

Counts

103 → 103

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	161	2815
1	404	2766
2	1914	2378
done	5000	2141

prune924.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 22.4b

localize44.0ms

Local error

Found 4 expressions with local error:

0.3b	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
24.3b	(cos (/ x (* y 2.0)))
24.3b	(cos (/ x (* y 2.0)))
24.3b	(cos (/ x (* y 2.0)))

rewrite110.0ms

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:

66.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
11.0ms	(cos (/ x (* y 2.0)))
11.0ms	(cos (/ x (* y 2.0)))
10.0ms	(cos (/ x (* y 2.0)))

series283.0ms

Counts

4 → 12

Calls

4 calls:

212.0ms	(* (cbrt (/ 1 (cos (/ x (* y 2.0))))) (cbrt (/ 1 (cos (/ x (* y 2.0))))))
24.0ms	(cos (/ x (* y 2.0)))
22.0ms	(cos (/ x (* y 2.0)))
25.0ms	(cos (/ x (* y 2.0)))

simplify1.3s

Counts

120 → 120

Iterations

Useful iterations: done (1.3s)

Iter	Nodes	Cost
0	138	2734
1	239	2485
2	858	2371
done	5001	2229

prune730.0ms

Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 22.2b

regimes899.0ms

Accuracy

0% (2.5b remaining)

Error of 28.5b against oracle of 26.0b and baseline of 28.5b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	29
1	15	29
done	15	29

end0.0ms

sample7.9s

Algorithm

intervals

Results

2.2s	1365×	body	1280	valid
1.7s	637×	body	2560	valid
1.6s	996×	body	640	valid
1.4s	4096×	body	80	valid
410.0ms	583×	body	320	valid
138.0ms	323×	body	160	valid