Details

Time bar (total: 12.2s)

sample174.0ms

Algorithm
intervals
Results
48.0ms50×body1280valid
45.0ms24×body2560valid
35.0ms126×body80valid
18.0ms30×body640valid
8.0ms19×body320valid
2.0msbody160valid

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

localize15.0ms

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)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube
pow1 associate-/r* associate-/l* add-log-exp
tan-quot
cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 43
Calls
3 calls:
11.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series146.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
11.0ms
(sin (/ x (* y 2.0)))
76.0ms
(tan (/ x (* y 2.0)))

simplify1.2s

Counts
52 → 52
Iterations

Useful iterations: 3 (374.0ms)

IterNodesCost
077822
1144813
2491739
33059737
done5000737

prune216.0ms

Pruning

15 alts after pruning (15 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

prune36.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 27.2b

localize35.0ms

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)))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
tan-quot
Counts
4 → 31
Calls
4 calls:
8.0ms
(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)))

series178.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(sin (/ x (* y 2.0)))
57.0ms
(tan (/ x (* y 2.0)))
56.0ms
(tan (/ x (* y 2.0)))
52.0ms
(tan (/ x (* y 2.0)))

simplify1.7s

Counts
43 → 43
Iterations

Useful iterations: 4 (631.0ms)

IterNodesCost
033420
157420
2131372
3490372
42440360
done5000360

prune204.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 27.1b

localize16.0ms

Local error

Found 4 expressions with local error:

0.4b
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
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)))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
13×unpow-prod-down cube-prod
add-exp-log add-cbrt-cube
pow1
add-log-exp
pow-unpow associate-/r* div-inv associate-/l*
tan-quot cbrt-undiv div-exp pow-exp rem-cube-cbrt
cube-div cube-mult pow-to-exp pow-pow frac-2neg unpow3 clear-num associate-/l/ sqr-pow
Counts
4 → 89
Calls
4 calls:
15.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
12.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
5.0ms
(sin (/ x (* y 2.0)))
3.0ms
(tan (/ x (* y 2.0)))

series212.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
63.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
12.0ms
(sin (/ x (* y 2.0)))
45.0ms
(tan (/ x (* y 2.0)))

simplify1.3s

Counts
101 → 101
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01222065
14451912
221611762
done50021755

prune313.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 27.1b

regimes522.0ms

Accuracy

0% (2.3b remaining)

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

bsearch0.0ms

simplify0.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
done11

end0.0ms

sample5.8s

Algorithm
intervals
Results
2.0s1418×body1280valid
1.5s661×body2560valid
896.0ms4058×body80valid
817.0ms1005×body640valid
261.0ms557×body320valid
94.0ms301×body160valid