Details

Time bar (total: 14.7s)

sample230.0ms

Algorithm
intervals
Results
60.0ms50×body1280valid
58.0ms126×body80valid
54.0ms24×body2560valid
22.0ms30×body640valid
11.0ms19×body320valid
3.0msbody160valid

simplify8.0ms

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: 38.5b

localize20.0ms

Local error

Found 3 expressions with local error:

8.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.6b
(sin (/ x (* y 2.0)))
30.0b
(tan (/ x (* y 2.0)))

rewrite42.0ms

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:
23.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
6.0ms
(tan (/ x (* y 2.0)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
71.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms
(sin (/ x (* y 2.0)))
70.0ms
(tan (/ x (* y 2.0)))

simplify1.5s

Counts
58 → 58
Iterations

Useful iterations: 2 (110.0ms)

IterNodesCost
083878
1152865
2508789
33237789
done5002789

prune326.0ms

Pruning

16 alts after pruning (16 fresh and 0 done)

Merged error: 27.2b

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

prune44.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 27.2b

localize28.0ms

Local error

Found 4 expressions with local error:

0.1b
(log1p (expm1 (sin (/ x (* y 2.0)))))
8.2b
(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
29.6b
(sin (/ x (* y 2.0)))
30.0b
(tan (/ x (* y 2.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
pow1 expm1-log1p-u 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:
0.0ms
(log1p (expm1 (sin (/ x (* y 2.0)))))
9.0ms
(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
6.0ms
(sin (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))

series357.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(log1p (expm1 (sin (/ x (* y 2.0)))))
201.0ms
(/ (tan (/ x (* y 2.0))) (log1p (expm1 (sin (/ x (* y 2.0))))))
16.0ms
(sin (/ x (* y 2.0)))
58.0ms
(tan (/ x (* y 2.0)))

simplify1.5s

Counts
72 → 72
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
0941094
1169969
2549881
33284881
done5002881

prune351.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 27.2b

localize40.0ms

Local error

Found 4 expressions with local error:

29.6b
(sin (/ x (* y 2.0)))
30.0b
(tan (/ x (* y 2.0)))
30.0b
(tan (/ x (* y 2.0)))
30.0b
(tan (/ x (* y 2.0)))

rewrite28.0ms

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:
6.0ms
(sin (/ x (* y 2.0)))
7.0ms
(tan (/ x (* y 2.0)))
10.0ms
(tan (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))

series225.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(sin (/ x (* y 2.0)))
74.0ms
(tan (/ x (* y 2.0)))
68.0ms
(tan (/ x (* y 2.0)))
59.0ms
(tan (/ x (* y 2.0)))

simplify2.0s

Counts
51 → 51
Iterations

Useful iterations: 4 (755.0ms)

IterNodesCost
037476
162470
2139422
3496422
42489410
done5001410

prune291.0ms

Pruning

17 alts after pruning (15 fresh and 2 done)

Merged error: 27.1b

regimes537.0ms

Accuracy

0% (2.3b remaining)

Error of 28.7b against oracle of 26.4b and baseline of 28.7b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
done11

end0.0ms

sample7.0s

Algorithm
intervals
Results
2.5s661×body2560valid
1.9s1418×body1280valid
796.0ms4058×body80valid
767.0ms1005×body640valid
316.0ms557×body320valid
176.0ms301×body160valid