Details

Time bar (total: 12.0s)

sample146.0ms

Algorithm
intervals
Results
47.0ms66×body1280valid
35.0ms108×body80valid
29.0ms21×body2560valid
13.0ms29×body640valid
7.0ms21×body320valid
3.0ms11×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
21313
done1313

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.1b

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ x (* y 2.0))
5.1b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
33.6b
(sin (/ x (* y 2.0)))
33.8b
(tan (/ x (* y 2.0)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
11×add-exp-log add-cbrt-cube
associate-/l*
pow1 associate-/r* add-log-exp
cbrt-undiv div-exp
tan-quot frac-2neg clear-num div-inv
prod-exp cbrt-unprod associate-/l/
Counts
4 → 64
Calls
4 calls:
11.0ms
(/ x (* y 2.0))
22.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
8.0ms
(tan (/ x (* y 2.0)))

series173.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ x (* y 2.0))
67.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms
(sin (/ x (* y 2.0)))
59.0ms
(tan (/ x (* y 2.0)))

simplify525.0ms

Counts
76 → 76
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
01171007
1231989
21044897
done5000897

prune292.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 29.7b

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)

IterNodesCost
000
done00

prune42.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 29.7b

localize25.0ms

Local error

Found 4 expressions with local error:

33.6b
(sin (/ x (* y 2.0)))
33.8b
(tan (/ x (* y 2.0)))
33.8b
(tan (/ x (* y 2.0)))
33.8b
(tan (/ x (* y 2.0)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
tan-quot
Counts
4 → 31
Calls
4 calls:
5.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))
9.0ms
(tan (/ x (* y 2.0)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
11.0ms
(sin (/ x (* y 2.0)))
48.0ms
(tan (/ x (* y 2.0)))
49.0ms
(tan (/ x (* y 2.0)))
43.0ms
(tan (/ x (* y 2.0)))

simplify1.5s

Counts
43 → 43
Iterations

Useful iterations: 4 (556.0ms)

IterNodesCost
033420
157420
2131372
3490372
42440360
done5000360

prune233.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 29.7b

localize23.0ms

Local error

Found 4 expressions with local error:

5.0b
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
33.6b
(sin (/ x (* y 2.0)))
33.6b
(sin (/ x (* y 2.0)))
34.0b
(cos (/ x (* y 2.0)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
add-exp-log add-cbrt-cube
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-log-exp
times-frac associate-/l*
cbrt-undiv div-exp
frac-2neg prod-exp clear-num associate-/r* associate-/r/ sin-cos-mult cbrt-unprod div-inv
Counts
4 → 43
Calls
4 calls:
39.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
6.0ms
(sin (/ x (* y 2.0)))
5.0ms
(sin (/ x (* y 2.0)))
5.0ms
(cos (/ x (* y 2.0)))

series74.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
16.0ms
(sin (/ x (* y 2.0)))
15.0ms
(sin (/ x (* y 2.0)))
15.0ms
(cos (/ x (* y 2.0)))

simplify2.4s

Counts
55 → 55
Iterations

Useful iterations: 3 (501.0ms)

IterNodesCost
071905
1145719
2483546
33616542
done5001542

prune182.0ms

Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 29.7b

regimes404.0ms

Accuracy

34.3% (1.9b remaining)

Error of 27.1b against oracle of 25.2b and baseline of 28.1b

bsearch2.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01847
12547
done2547

end0.0ms

sample5.8s

Algorithm
intervals
Results
1.8s1427×body1280valid
1.3s651×body2560valid
1.1s4132×body80valid
802.0ms967×body640valid
315.0ms544×body320valid
88.0ms279×body160valid