Details

Time bar (total: 8.4s)

sample99.0ms

Algorithm
intervals
Results
30.0ms24×body2560valid
29.0ms47×body1280valid
10.0ms28×body640valid
10.0ms119×body80valid
7.0ms25×body320valid
3.0ms13×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0813
11113
21313
done1313

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 39.4b

localize16.0ms

Local error

Found 3 expressions with local error:

8.4b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.8b
(sin (/ x (* y 2.0)))
31.3b
(tan (/ x (* y 2.0)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
tan-quot
cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 49
Calls
3 calls:
4.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))

series91.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
39.0ms
(tan (/ x (* y 2.0)))

simplify1.2s

Counts
58 → 58
Iterations

Useful iterations: 3 (162.0ms)

IterNodesCost
083878
1147865
2351789
31205785
done5000785

prune224.0ms

Pruning

15 alts after pruning (15 fresh and 0 done)

Merged error: 28.4b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify1.0ms

Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000
done00

prune39.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 28.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
8.4b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
30.8b
(sin (/ x (* y 2.0)))
31.3b
(tan (/ x (* y 2.0)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
13×unpow-prod-down cube-prod
add-exp-log add-cbrt-cube
pow1
expm1-log1p-u log1p-expm1-u add-log-exp
pow-unpow associate-/r* div-inv associate-/l*
tan-quot cbrt-undiv div-exp pow-exp rem-cube-cbrt
cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num associate-/l/ sqr-pow
Counts
4 → 97
Calls
4 calls:
6.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
4.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
42.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
38.0ms
(tan (/ x (* y 2.0)))

simplify663.0ms

Counts
109 → 109
Iterations

Useful iterations: 2 (157.0ms)

IterNodesCost
01302153
13441994
211711844
done50001844

prune376.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 28.4b

localize16.0ms

Local error

Found 4 expressions with local error:

30.8b
(sin (/ x (* y 2.0)))
31.3b
(tan (/ x (* y 2.0)))
31.3b
(tan (/ x (* y 2.0)))
31.3b
(tan (/ x (* y 2.0)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt expm1-log1p-u add-cube-cbrt *-un-lft-identity add-cbrt-cube log1p-expm1-u add-log-exp
tan-quot
Counts
4 → 39
Calls
4 calls:
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series131.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(sin (/ x (* y 2.0)))
39.0ms
(tan (/ x (* y 2.0)))
40.0ms
(tan (/ x (* y 2.0)))
42.0ms
(tan (/ x (* y 2.0)))

simplify1.8s

Counts
51 → 51
Iterations

Useful iterations: 4 (277.0ms)

IterNodesCost
037476
162470
2131422
3425422
41674410
done5000410

prune211.0ms

Pruning

19 alts after pruning (17 fresh and 2 done)

Merged error: 28.3b

regimes432.0ms

Accuracy

34.5% (1.6b remaining)

Error of 27.9b against oracle of 26.3b and baseline of 28.7b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01561
11761
done1761

end0.0ms

sample2.9s

Algorithm
intervals
Results
897.0ms677×body2560valid
870.0ms1394×body1280valid
368.0ms980×body640valid
320.0ms4077×body80valid
160.0ms569×body320valid
65.0ms303×body160valid