Details

Time bar (total: 4.1s)

sample72.0ms

Algorithm
intervals
Results
21.0ms25×body2560valid
20.0ms47×body1280valid
10.0ms129×body80valid
7.0ms27×body640valid
3.0ms18×body320valid
1.0ms10×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

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 36.0b

Counts
2 → 1

localize10.0ms

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)))

rewrite11.0ms

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

series90.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
39.0ms
(tan (/ x (* y 2.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune205.0ms

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

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune34.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 26.8b

Counts
14 → 14

localize11.0ms

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)))

rewrite20.0ms

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 expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp associate-/r*
1×frac-2neg clear-num associate-/l/
Counts
4 → 99
Calls
4 calls:
10.0ms
(/ (/ (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)))

series54.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
9.0ms
(sin (/ x (* y 2.0)))
12.0ms
(cos (/ x (* y 2.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
03581652
114801382
250011333

prune364.0ms

Filtered
111 candidates to 94 candidates (84.7%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New9417111
Fresh8412
Picked101
Done011
Total10322125

Merged error: 26.8b

Counts
125 → 22

localize15.0ms

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)))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
159×times-frac
86×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
48×log-pow
36×exp-prod
25×associate-/l*
16×pow1
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 associate-/r*
1×frac-2neg clear-num associate-/l/
Counts
4 → 147
Calls
4 calls:
15.0ms
(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))
3.0ms
(cos (/ x (* y 2.0)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ (/ (sin (/ x (* y 2.0))) (log (exp (cos (/ x (* y 2.0)))))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
9.0ms
(sin (/ x (* y 2.0)))
12.0ms
(cos (/ x (* y 2.0)))

simplify77.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
05612877
121232315
250012255

prune432.0ms

Filtered
159 candidates to 120 candidates (75.5%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New14811159
Fresh91120
Picked101
Done011
Total15823181

Merged error: 26.8b

Counts
181 → 23

regimes427.0ms

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
631.0ms1465×body1280valid
613.0ms689×body2560valid
257.0ms970×body640valid
223.0ms4036×body80valid
109.0ms572×body320valid
37.0ms268×body160valid