Details

Time bar (total: 16.1s)

sample186.0ms

Algorithm
intervals
Results
54.0ms20×body2560valid
53.0ms46×body1280valid
21.0ms29×body640valid
20.0ms130×body80valid
12.0ms25×body320valid
2.0msbody160valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11113
21313
done1313

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 36.5b

localize21.0ms

Local error

Found 3 expressions with local error:

7.0b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.5b
(sin (/ x (* y 2.0)))
28.9b
(tan (/ x (* y 2.0)))

rewrite70.0ms

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:
21.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
6.0ms
(tan (/ x (* y 2.0)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms
(sin (/ x (* y 2.0)))
53.0ms
(tan (/ x (* y 2.0)))

simplify2.6s

Counts
58 → 58
Iterations

Useful iterations: 3 (213.0ms)

IterNodesCost
083878
1147865
2330789
3814785
42543785
done5001785

prune289.0ms

Pruning

17 alts after pruning (17 fresh and 0 done)

Merged error: 26.8b

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

prune56.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 26.8b

localize35.0ms

Local error

Found 4 expressions with local error:

28.5b
(sin (/ x (* y 2.0)))
28.9b
(tan (/ x (* y 2.0)))
28.9b
(tan (/ x (* y 2.0)))
28.9b
(tan (/ x (* y 2.0)))

rewrite30.0ms

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:
9.0ms
(sin (/ x (* y 2.0)))
6.0ms
(tan (/ x (* y 2.0)))
6.0ms
(tan (/ x (* y 2.0)))
7.0ms
(tan (/ x (* y 2.0)))

series247.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sin (/ x (* y 2.0)))
82.0ms
(tan (/ x (* y 2.0)))
86.0ms
(tan (/ x (* y 2.0)))
67.0ms
(tan (/ x (* y 2.0)))

simplify1.6s

Counts
51 → 51
Iterations

Useful iterations: 4 (527.0ms)

IterNodesCost
037476
162470
2133422
3429422
41858410
done5000410

prune330.0ms

Pruning

17 alts after pruning (16 fresh and 1 done)

Merged error: 26.7b

localize20.0ms

Local error

Found 4 expressions with local error:

0.3b
(log1p (expm1 (tan (/ x (* y 2.0)))))
7.0b
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
28.5b
(sin (/ x (* y 2.0)))
28.9b
(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
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
Counts
4 → 59
Calls
4 calls:
0.0ms
(log1p (expm1 (tan (/ x (* y 2.0)))))
15.0ms
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
5.0ms
(tan (/ x (* y 2.0)))

series390.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(log1p (expm1 (tan (/ x (* y 2.0)))))
191.0ms
(/ (log1p (expm1 (tan (/ x (* y 2.0))))) (sin (/ x (* y 2.0))))
19.0ms
(sin (/ x (* y 2.0)))
83.0ms
(tan (/ x (* y 2.0)))

simplify2.0s

Counts
71 → 71
Iterations

Useful iterations: 3 (190.0ms)

IterNodesCost
0931077
1157956
2342868
3828864
42539864
done5000864

prune263.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 26.7b

regimes484.0ms

Accuracy

0% (2.5b remaining)

Error of 28.8b against oracle of 26.3b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
done11

end0.0ms

sample7.3s

Algorithm
intervals
Results
2.4s1387×body1280valid
1.6s666×body2560valid
1.5s1004×body640valid
675.0ms4075×body80valid
318.0ms305×body160valid
297.0ms563×body320valid