Details

Time bar (total: 4.5s)

sample101.0ms

Algorithm
intervals
Results
31.0ms53×body1280valid
30.0ms24×body2560valid
11.0ms121×body80valid
10.0ms30×body640valid
5.0ms21×body320valid
2.0ms7×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1137
2137
done137

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.3b

localize10.0ms

Local error

Found 3 expressions with local error:

7.4b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.5b
(sin (/ x (* y 2.0)))
30.9b
(tan (/ x (* y 2.0)))

rewrite20.0ms

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:
11.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series96.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
44.0ms
(tan (/ x (* y 2.0)))

simplify51.0ms

Counts
52 → 52
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0138457
1421413
21765413
35001413
done5001413

prune164.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 28.1b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000
done00

prune35.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 28.1b

localize11.0ms

Local error

Found 4 expressions with local error:

7.4b
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
30.5b
(cos (/ x (* y 2.0)))
30.5b
(sin (/ x (* y 2.0)))
30.5b
(sin (/ x (* y 2.0)))

rewrite50.0ms

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:
33.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
5.0ms
(cos (/ x (* y 2.0)))
5.0ms
(sin (/ x (* y 2.0)))
5.0ms
(sin (/ x (* y 2.0)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
12.0ms
(cos (/ x (* y 2.0)))
9.0ms
(sin (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))

simplify48.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
03511606
114701336
250011259
done50011259

prune295.0ms

Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 28.1b

localize20.0ms

Local error

Found 4 expressions with local error:

30.5b
(sin (/ x (* y 2.0)))
30.5b
(sin (/ x (* y 2.0)))
30.5b
(sin (/ x (* y 2.0)))
30.5b
(sin (/ x (* y 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
5.0ms
(sin (/ x (* y 2.0)))
5.0ms
(sin (/ x (* y 2.0)))
8.0ms
(sin (/ x (* y 2.0)))
5.0ms
(sin (/ x (* y 2.0)))

series39.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(sin (/ x (* y 2.0)))
9.0ms
(sin (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))

simplify97.0ms

Counts
40 → 40
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
023176
131148
239148
345148
464148
5118148
6523148
71690148
85001148
done5001148

prune149.0ms

Pruning

24 alts after pruning (23 fresh and 1 done)

Merged error: 28.0b

regimes448.0ms

Accuracy

0% (2.5b remaining)

Error of 28.8b against oracle of 26.4b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010
110
done10

end0.0ms

sample2.7s

Algorithm
intervals
Results
871.0ms1461×body1280valid
824.0ms635×body2560valid
330.0ms979×body640valid
291.0ms4050×body80valid
141.0ms598×body320valid
54.0ms277×body160valid