Details

Time bar (total: 6.6s)

sample90.0ms

Algorithm
intervals
Results
31.0ms24×body2560valid
24.0ms42×body1280valid
12.0ms34×body640valid
9.0ms127×body80valid
4.0ms16×body320valid
2.0ms13×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0813
11113
21313
done1313

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.0b

localize9.0ms

Local error

Found 3 expressions with local error:

7.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.6b
(sin (/ x (* y 2.0)))
29.9b
(tan (/ x (* y 2.0)))

rewrite8.0ms

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:
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)))

series84.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
41.0ms
(tan (/ x (* y 2.0)))

simplify773.0ms

Counts
52 → 52
Iterations

Useful iterations: 3 (170.0ms)

IterNodesCost
077822
1142813
2427737
31863733
done5000733

prune161.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 27.3b

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

prune28.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 27.3b

localize12.0ms

Local error

Found 4 expressions with local error:

7.2b
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
28.6b
(sin (/ x (* y 2.0)))
28.6b
(sin (/ x (* y 2.0)))
29.6b
(cos (/ x (* y 2.0)))

rewrite21.0ms

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:
12.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(cos (/ x (* y 2.0)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
8.0ms
(sin (/ x (* y 2.0)))
11.0ms
(cos (/ x (* y 2.0)))

simplify635.0ms

Counts
103 → 103
Iterations

Useful iterations: 2 (120.0ms)

IterNodesCost
01612815
13572764
214982348
done50002348

prune316.0ms

Pruning

19 alts after pruning (18 fresh and 1 done)

Merged error: 27.3b

localize9.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (cos (/ x (* y 2.0))))
29.6b
(cos (/ x (* y 2.0)))

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-exp-log
4×add-cbrt-cube
3×pow1 associate-/r* associate-/l*
2×div-exp add-log-exp
1×cbrt-undiv rec-exp pow-flip frac-2neg 1-exp clear-num div-inv inv-pow
Counts
2 → 38
Calls
2 calls:
2.0ms
(/ 1 (cos (/ x (* y 2.0))))
2.0ms
(cos (/ x (* y 2.0)))

series35.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(/ 1 (cos (/ x (* y 2.0))))
15.0ms
(cos (/ x (* y 2.0)))

simplify1.2s

Counts
44 → 44
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
061527
1111488
2326438
31223438
done5000438

prune70.0ms

Pruning

20 alts after pruning (18 fresh and 2 done)

Merged error: 27.2b

regimes354.0ms

Accuracy

31.6% (1.7b remaining)

Error of 27.9b against oracle of 26.2b and baseline of 28.6b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01627
12025
22225
done2225

end0.0ms

sample2.7s

Algorithm
intervals
Results
843.0ms657×body2560valid
829.0ms1403×body1280valid
346.0ms990×body640valid
299.0ms4077×body80valid
124.0ms521×body320valid
63.0ms352×body160valid