Details

Time bar (total: 5.7s)

analyze802.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.2%0.1%7
32.8%67.1%0.1%8
38.2%61.7%0.1%9
41%58.9%0.1%10
43.9%56%0.1%11
45.4%54.5%0.1%12
46.9%53%0.1%13
47.6%52.3%0.1%14

sample124.0ms

Algorithm
intervals
Results
37.0ms45×body1280valid
29.0ms19×body2560valid
19.0ms36×body640valid
16.0ms129×body80valid
6.0ms15×body320valid
4.0ms12×body160valid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01313
11313

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 37.2b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

8.2b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
28.7b
(sin (/ x (* y 2.0)))
28.7b
(tan (/ x (* y 2.0)))

rewrite10.0ms

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:
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)))

series35.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms
(sin (/ x (* y 2.0)))
16.0ms
(tan (/ x (* y 2.0)))

simplify43.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
04953733
14953733

prune185.0ms

Filtered
44 candidates to 52 candidates (-18.2%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New381452
Fresh000
Picked101
Done000
Total391453

Merged error: 26.7b

Counts
53 → 14

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune54.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 26.7b

Counts
14 → 14

localize13.0ms

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))))
28.7b
(sin (/ x (* y 2.0)))
28.7b
(tan (/ x (* y 2.0)))

rewrite17.0ms

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

series54.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
17.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
3.0ms
(sin (/ x (* y 2.0)))
12.0ms
(tan (/ x (* y 2.0)))

simplify47.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (37.0ms)

IterNodesCost
054801719

prune266.0ms

Filtered
67 candidates to 101 candidates (-50.7%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New9011101
Fresh5712
Picked101
Done011
Total9619115

Merged error: 26.7b

Counts
115 → 19

localize20.0ms

Local error

Found 4 expressions with local error:

28.7b
(sin (/ x (* y 2.0)))
28.7b
(tan (/ x (* y 2.0)))
28.7b
(tan (/ x (* y 2.0)))
28.7b
(tan (/ x (* y 2.0)))

rewrite9.0ms

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
3×tan-quot
Counts
4 → 31
Calls
4 calls:
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))
2.0ms
(tan (/ x (* y 2.0)))

series40.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(sin (/ x (* y 2.0)))
12.0ms
(tan (/ x (* y 2.0)))
12.0ms
(tan (/ x (* y 2.0)))
13.0ms
(tan (/ x (* y 2.0)))

simplify60.0ms

Algorithm
egg-herbie
Counts
43 → 43
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04954360
14954360

prune181.0ms

Filtered
39 candidates to 43 candidates (-10.3%)
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New39443
Fresh31417
Picked011
Done011
Total422062

Merged error: 26.6b

Counts
62 → 20

regimes688.0ms

Accuracy

44% (1.5b remaining)

Error of 27.6b against oracle of 26.2b and baseline of 28.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02064
12064

end0.0ms

analyze734.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.9%0.1%0
0%99.9%0.1%1
0%99.9%0.1%2
0%99.9%0.1%3
0%99.9%0.1%4
0%99.9%0.1%5
0%99.9%0.1%6
18.7%81.2%0.1%7
32.8%67.1%0.1%8
38.2%61.7%0.1%9
41%58.9%0.1%10
43.9%56%0.1%11
45.4%54.5%0.1%12
46.9%53%0.1%13
47.6%52.3%0.1%14

sample2.3s

Algorithm
intervals
Results
698.0ms1400×body1280valid
661.0ms671×body2560valid
309.0ms980×body640valid
300.0ms4075×body80valid
133.0ms551×body320valid
62.0ms323×body160valid

Profiling

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