Details

Time bar (total: 13.9s)

sample131.0ms

Algorithm
intervals
Results
46.0ms48×body1280valid
20.0ms11×body2560valid
18.0ms136×body80valid
16.0ms26×body640valid
11.0ms25×body320valid
3.0ms10×body160valid

simplify6.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
21313
done1313

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 33.6b

localize51.0ms

Local error

Found 3 expressions with local error:

6.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
27.0b
(sin (/ x (* y 2.0)))
27.8b
(tan (/ x (* y 2.0)))

rewrite35.0ms

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:
17.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
9.0ms
(tan (/ x (* y 2.0)))

series441.0ms

Counts
3 → 9
Calls
3 calls:
369.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms
(sin (/ x (* y 2.0)))
61.0ms
(tan (/ x (* y 2.0)))

simplify1.4s

Counts
58 → 58
Iterations

Useful iterations: 2 (68.0ms)

IterNodesCost
083878
1152865
2508789
33237789
done5002789

prune290.0ms

Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 25.2b

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

prune47.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 25.2b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(log1p (sin (/ x (* y 2.0))))
6.2b
(/ (tan (/ x (* y 2.0))) (expm1 (log1p (sin (/ x (* y 2.0))))))
27.0b
(sin (/ x (* y 2.0)))
27.8b
(tan (/ x (* y 2.0)))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
expm1-log1p-u
pow1 log1p-expm1-u add-log-exp
associate-/r* associate-/l*
tan-quot
cbrt-undiv log1p-udef frac-2neg log1p-expm1 div-exp clear-num div-inv associate-/l/
Counts
4 → 60
Calls
4 calls:
1.0ms
(log1p (sin (/ x (* y 2.0))))
14.0ms
(/ (tan (/ x (* y 2.0))) (expm1 (log1p (sin (/ x (* y 2.0))))))
9.0ms
(sin (/ x (* y 2.0)))
5.0ms
(tan (/ x (* y 2.0)))

series216.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(log1p (sin (/ x (* y 2.0))))
111.0ms
(/ (tan (/ x (* y 2.0))) (expm1 (log1p (sin (/ x (* y 2.0))))))
11.0ms
(sin (/ x (* y 2.0)))
52.0ms
(tan (/ x (* y 2.0)))

simplify1.8s

Counts
72 → 72
Iterations

Useful iterations: 3 (634.0ms)

IterNodesCost
01031121
11881016
2620928
33789926
done5001926

prune386.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 25.1b

localize28.0ms

Local error

Found 4 expressions with local error:

27.0b
(sin (/ x (* y 2.0)))
27.8b
(tan (/ x (* y 2.0)))
27.8b
(tan (/ x (* y 2.0)))
27.8b
(tan (/ x (* y 2.0)))

rewrite24.0ms

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:
8.0ms
(sin (/ x (* y 2.0)))
6.0ms
(tan (/ x (* y 2.0)))
5.0ms
(tan (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))

series220.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(sin (/ x (* y 2.0)))
63.0ms
(tan (/ x (* y 2.0)))
66.0ms
(tan (/ x (* y 2.0)))
72.0ms
(tan (/ x (* y 2.0)))

simplify1.7s

Counts
51 → 51
Iterations

Useful iterations: 4 (671.0ms)

IterNodesCost
037476
162470
2139422
3496422
42489410
done5001410

prune266.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 25.0b

regimes522.0ms

Accuracy

33.2% (1.7b remaining)

Error of 27.8b against oracle of 26.2b and baseline of 28.6b

bsearch2.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01561
11761
done1761

end0.0ms

sample6.3s

Algorithm
intervals
Results
2.7s1434×body1280valid
1.4s656×body2560valid
758.0ms988×body640valid
720.0ms4065×body80valid
253.0ms567×body320valid
95.0ms290×body160valid