Details

Time bar (total: 4.3s)

sample94.0ms

Algorithm
intervals
Results
34.0ms58×body1280valid
25.0ms20×body2560valid
10.0ms30×body640valid
9.0ms124×body80valid
4.0ms17×body320valid
1.0ms7×body160valid

simplify6.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0117
1137
2137

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.7b

localize15.0ms

Local error

Found 3 expressions with local error:

8.7b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.8b
(sin (/ x (* y 2.0)))
30.2b
(tan (/ x (* y 2.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
5×add-exp-log add-cbrt-cube
3×pow1 associate-/r* associate-/l* add-log-exp
2×tan-quot
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 43
Calls
3 calls:
4.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
1.0ms
(tan (/ x (* y 2.0)))

series89.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
37.0ms
(tan (/ x (* y 2.0)))

simplify56.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0138457
1421413
21765413
35001413

prune185.0ms

Filtered
52 candidates to 44 candidates (84.6%)
Pruning

18 alts after pruning (18 fresh and 0 done)

Merged error: 27.4b

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune41.0ms

Pruning

18 alts after pruning (17 fresh and 1 done)

Merged error: 27.4b

localize12.0ms

Local error

Found 4 expressions with local error:

8.7b
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
29.8b
(sin (/ x (* y 2.0)))
29.8b
(sin (/ x (* y 2.0)))
29.8b
(cos (/ x (* y 2.0)))

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
46×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×associate-/l*
9×add-exp-log add-cbrt-cube
5×div-inv
4×pow1 add-log-exp
3×cbrt-undiv div-exp associate-/r*
1×frac-2neg clear-num associate-/l/
Counts
4 → 91
Calls
4 calls:
16.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(cos (/ x (* y 2.0)))

series49.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
9.0ms
(sin (/ x (* y 2.0)))
11.0ms
(cos (/ x (* y 2.0)))

simplify52.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
03511606
114701336
250031259

prune317.0ms

Filtered
103 candidates to 83 candidates (80.6%)
Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 27.4b

localize20.0ms

Local error

Found 4 expressions with local error:

29.8b
(sin (/ x (* y 2.0)))
29.8b
(cos (/ x (* y 2.0)))
29.8b
(cos (/ x (* y 2.0)))
29.8b
(cos (/ x (* y 2.0)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
Counts
4 → 28
Calls
4 calls:
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(cos (/ x (* y 2.0)))
2.0ms
(cos (/ x (* y 2.0)))
2.0ms
(cos (/ x (* y 2.0)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
8.0ms
(sin (/ x (* y 2.0)))
11.0ms
(cos (/ x (* y 2.0)))
11.0ms
(cos (/ x (* y 2.0)))
11.0ms
(cos (/ x (* y 2.0)))

simplify46.0ms

Algorithm
egg-herbie
Counts
40 → 40
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
053194
1114166
2315166
31342166
45001166

prune157.0ms

Filtered
40 candidates to 36 candidates (90.0%)
Pruning

21 alts after pruning (19 fresh and 2 done)

Merged error: 27.3b

regimes316.0ms

Accuracy

0% (2.4b remaining)

Error of 28.7b against oracle of 26.3b and baseline of 28.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample2.8s

Algorithm
intervals
Results
917.0ms697×body2560valid
817.0ms1358×body1280valid
346.0ms980×body640valid
309.0ms4057×body80valid
151.0ms574×body320valid
68.0ms334×body160valid