Details

Time bar (total: 16.8s)

sample134.0ms

Algorithm
intervals
Results
48.0ms53×body1280valid
37.0ms20×body2560valid
16.0ms137×body80valid
12.0ms23×body640valid
6.0ms16×body320valid
2.0ms7×body160valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
08278
111278
213278
done13278

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.3b

localize55.0ms

Local error

Found 3 expressions with local error:

8.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
26.5b
(sin (/ x (* y 2.0)))
27.0b
(tan (/ x (* y 2.0)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
5×add-cbrt-cube add-exp-log
3×pow1 associate-/r* associate-/l* add-log-exp
2×tan-quot
1×cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l/
Counts
3 → 43
Calls
3 calls:
15.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
4.0ms
(sin (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
69.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
16.0ms
(sin (/ x (* y 2.0)))
56.0ms
(tan (/ x (* y 2.0)))

simplify1.5s

Counts
52 → 52
Iterations

Useful iterations: 2 (141.0ms)

IterNodesCost
07718480
114417003
249416603
3317016603
done500216603

prune391.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 24.9b

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

prune57.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 24.9b

localize31.0ms

Local error

Found 4 expressions with local error:

8.2b
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
26.5b
(sin (/ x (* y 2.0)))
26.5b
(sin (/ x (* y 2.0)))
26.9b
(cos (/ x (* y 2.0)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
6×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-log-exp
3×times-frac associate-/l*
2×cbrt-undiv div-exp
1×clear-num associate-/r* frac-2neg prod-exp associate-/r/ cbrt-unprod div-inv sin-cos-mult
Counts
4 → 43
Calls
4 calls:
21.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
4.0ms
(sin (/ x (* y 2.0)))
4.0ms
(sin (/ x (* y 2.0)))
5.0ms
(cos (/ x (* y 2.0)))

series81.0ms

Counts
4 → 12
Calls
4 calls:
38.0ms
(/ (sin (/ x (* y 2.0))) (* (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))))
16.0ms
(sin (/ x (* y 2.0)))
14.0ms
(sin (/ x (* y 2.0)))
13.0ms
(cos (/ x (* y 2.0)))

simplify3.0s

Counts
55 → 55
Iterations

Useful iterations: 3 (931.0ms)

IterNodesCost
07115399
114512723
248311963
3367911881
done500111881

prune388.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 24.9b

localize23.0ms

Local error

Found 2 expressions with local error:

0.1b
(/ 1 (cos (/ x (* y 2.0))))
26.9b
(cos (/ x (* y 2.0)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
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 clear-num frac-2neg 1-exp div-inv pow-flip inv-pow
Counts
2 → 38
Calls
2 calls:
8.0ms
(/ 1 (cos (/ x (* y 2.0))))
8.0ms
(cos (/ x (* y 2.0)))

series67.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ 1 (cos (/ x (* y 2.0))))
23.0ms
(cos (/ x (* y 2.0)))

simplify4.5s

Counts
44 → 44
Iterations

Useful iterations: 2 (101.0ms)

IterNodesCost
06113083
111110202
245610042
3286910042
done500110042

prune160.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 24.8b

regimes547.0ms

Accuracy

0% (2.4b remaining)

Error of 28.4b against oracle of 26.0b and baseline of 28.4b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011344
115344
done15344

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.9s1429×body1280valid
1.6s645×body2560valid
1.0s971×body640valid
618.0ms4118×body80valid
263.0ms559×body320valid
89.0ms278×body160valid