Details

Time bar (total: 5.3s)

sample99.0ms

Algorithm
intervals
Results
38.0ms58×body1280valid
25.0ms20×body2560valid
10.0ms30×body640valid
9.0ms124×body80valid
4.0ms17×body320valid
1.0ms7×body160valid

simplify8.0ms

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

1 alts after pruning (1 fresh and 0 done)

Merged error: 38.7b

localize10.0ms

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)))

rewrite9.0ms

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:
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)))

series94.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
40.0ms
(tan (/ x (* y 2.0)))

simplify61.0ms

Algorithm
egg-herbie
Counts
58 → 58
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0146485
1433441
21789441
35001441

prune234.0ms

Filtered
58 candidates to 50 candidates (86.2%)
Pruning

20 alts after pruning (20 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

prune53.0ms

Pruning

20 alts after pruning (19 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)))

rewrite22.0ms

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:
13.0ms
(/ (/ (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)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(/ (/ (sin (/ x (* y 2.0))) (cos (/ x (* y 2.0)))) (sin (/ x (* y 2.0))))
9.0ms
(sin (/ x (* y 2.0)))
10.0ms
(sin (/ x (* y 2.0)))
17.0ms
(cos (/ x (* y 2.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (46.0ms)

IterNodesCost
03581652
114801382
250011333

prune384.0ms

Filtered
111 candidates to 94 candidates (84.7%)
Pruning

22 alts after pruning (21 fresh and 1 done)

Merged error: 27.4b

localize16.0ms

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)))

rewrite22.0ms

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:
13.0ms
(/ (/ (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)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ (/ (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)))

simplify57.0ms

Algorithm
egg-herbie
Counts
111 → 111
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
03581652
114801382
250011333

prune388.0ms

Filtered
111 candidates to 94 candidates (84.7%)
Pruning

21 alts after pruning (20 fresh and 1 done)

Merged error: 27.4b

regimes686.0ms

Accuracy

0% (2.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample2.9s

Algorithm
intervals
Results
939.0ms697×body2560valid
861.0ms1358×body1280valid
391.0ms980×body640valid
323.0ms4057×body80valid
149.0ms574×body320valid
69.0ms334×body160valid