Details

Time bar (total: 13.1s)

sample138.0ms

Algorithm
intervals
Results
34.0ms47×body1280valid
33.0ms23×body320valid
26.0ms18×body2560valid
13.0ms127×body80valid
11.0ms24×body640valid
4.0ms17×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: 34.0b

localize13.0ms

Local error

Found 3 expressions with local error:

4.8b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.6b
(sin (/ x (* y 2.0)))
29.3b
(tan (/ x (* y 2.0)))

rewrite24.0ms

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:
12.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
6.0ms
(sin (/ x (* y 2.0)))
4.0ms
(tan (/ x (* y 2.0)))

series141.0ms

Counts
3 → 9
Calls
3 calls:
53.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
15.0ms
(sin (/ x (* y 2.0)))
73.0ms
(tan (/ x (* y 2.0)))

simplify1.5s

Counts
58 → 58
Iterations

Useful iterations: 2 (72.0ms)

IterNodesCost
083878
1152865
2508789
33237789
done5002789

prune278.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 27.0b

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

17 alts after pruning (16 fresh and 1 done)

Merged error: 27.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.7b
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
4.8b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.6b
(sin (/ x (* y 2.0)))
29.3b
(tan (/ x (* y 2.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
log1p-expm1-u
pow1 expm1-log1p-u add-log-exp
associate-/r* associate-/l*
tan-quot
cbrt-undiv expm1-log1p frac-2neg div-exp clear-num div-inv associate-/l/ expm1-udef
Counts
4 → 60
Calls
4 calls:
1.0ms
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
26.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
6.0ms
(tan (/ x (* y 2.0)))

series237.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(expm1 (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))))
56.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
19.0ms
(sin (/ x (* y 2.0)))
58.0ms
(tan (/ x (* y 2.0)))

simplify1.7s

Counts
72 → 72
Iterations

Useful iterations: 3 (665.0ms)

IterNodesCost
01001106
11881089
2621985
33674983
done5002983

prune310.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 27.0b

localize34.0ms

Local error

Found 4 expressions with local error:

28.6b
(sin (/ x (* y 2.0)))
29.3b
(tan (/ x (* y 2.0)))
29.3b
(tan (/ x (* y 2.0)))
29.3b
(tan (/ x (* y 2.0)))

rewrite23.0ms

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

series204.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sin (/ x (* y 2.0)))
53.0ms
(tan (/ x (* y 2.0)))
68.0ms
(tan (/ x (* y 2.0)))
70.0ms
(tan (/ x (* y 2.0)))

simplify1.8s

Counts
51 → 51
Iterations

Useful iterations: 4 (645.0ms)

IterNodesCost
037476
162470
2139422
3496422
42489410
done5001410

prune248.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 26.9b

regimes314.0ms

Accuracy

0% (2.4b remaining)

Error of 28.4b against oracle of 25.9b and baseline of 28.4b

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
done11

end0.0ms

sample6.0s

Algorithm
intervals
Results
2.2s1449×body1280valid
1.3s623×body2560valid
881.0ms976×body640valid
745.0ms4127×body80valid
270.0ms553×body320valid
143.0ms272×body160valid