Details

Time bar (total: 4.5s)

sample76.0ms

Algorithm
intervals
Results
23.0ms47×body1280valid
22.0ms25×body2560valid
8.0ms129×body80valid
7.0ms27×body640valid
3.0ms18×body320valid
2.0ms10×body160valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0117
1137
2137

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.0b

Counts
2 → 1

localize11.0ms

Local error

Found 3 expressions with local error:

6.3b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
29.2b
(sin (/ x (* y 2.0)))
29.5b
(tan (/ x (* y 2.0)))

rewrite33.0ms

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 expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
2×tan-quot
1×cbrt-undiv frac-2neg div-exp clear-num div-inv associate-/l/
Counts
3 → 49
Calls
3 calls:
17.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
8.0ms
(tan (/ x (* y 2.0)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
46.0ms
(tan (/ x (* y 2.0)))

simplify84.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune226.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New441458
Fresh000
Picked101
Done000
Total451459

Merged error: 26.8b

Counts
59 → 14

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify4.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune37.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 26.8b

Counts
14 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

6.3b
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
29.2b
(sin (/ x (* y 2.0)))
29.2b
(sin (/ x (* y 2.0)))
29.3b
(cos (/ x (* y 2.0)))

rewrite52.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
48×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
16×associate-/l*
9×add-exp-log add-cbrt-cube associate-/l/
6×associate-/r*
5×div-inv
4×pow1 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×frac-2neg clear-num
Counts
4 → 107
Calls
4 calls:
23.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
8.0ms
(sin (/ x (* y 2.0)))
8.0ms
(sin (/ x (* y 2.0)))
8.0ms
(cos (/ x (* y 2.0)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
10.0ms
(sin (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))
17.0ms
(cos (/ x (* y 2.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
119 → 119
Iterations

Useful iterations: 2 (62.0ms)

IterNodesCost
03761729
115431443
250021394

prune415.0ms

Filtered
119 candidates to 100 candidates (84.0%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New10316119
Fresh7512
Picked101
Done011
Total11122133

Merged error: 26.8b

Counts
133 → 22

localize16.0ms

Local error

Found 4 expressions with local error:

6.3b
(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
29.2b
(sin (/ x (* y 2.0)))
29.2b
(sin (/ x (* y 2.0)))
29.3b
(cos (/ x (* y 2.0)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
89×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
52×log-pow
39×exp-prod
28×associate-/l*
17×pow1
13×associate-/l/
10×associate-/r*
9×add-exp-log add-cbrt-cube
5×div-inv
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp
2×frac-2neg clear-num
Counts
4 → 159
Calls
4 calls:
24.0ms
(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
11.0ms
(sin (/ x (* y 2.0)))
8.0ms
(sin (/ x (* y 2.0)))
8.0ms
(cos (/ x (* y 2.0)))

series56.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))
13.0ms
(cos (/ x (* y 2.0)))

simplify104.0ms

Algorithm
egg-herbie
Counts
171 → 171
Iterations

Useful iterations: 2 (74.0ms)

IterNodesCost
05823020
121942407
250012347

prune514.0ms

Filtered
171 candidates to 128 candidates (74.9%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New15813171
Fresh11920
Picked101
Done011
Total17023193

Merged error: 26.8b

Counts
193 → 23

regimes467.0ms

Accuracy

0% (2.2b remaining)

Error of 28.8b against oracle of 26.5b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample2.1s

Algorithm
intervals
Results
641.0ms1465×body1280valid
636.0ms689×body2560valid
258.0ms970×body640valid
239.0ms4036×body80valid
114.0ms572×body320valid
41.0ms268×body160valid