Details

Time bar (total: 6.0s)

analyze776.0ms

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

sample71.0ms

Algorithm
intervals
Results
18.0ms18×body2560valid
18.0ms35×body1280valid
11.0ms151×body80valid
9.0ms28×body640valid
4.0ms16×body320valid
1.0ms8×body160valid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0117
1137
2137

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 33.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

9.3b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
23.6b
(tan (/ x (* y 2.0)))
23.8b
(sin (/ 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
(tan (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))

series37.0ms

Counts
3 → 9
Calls
3 calls:
20.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms
(tan (/ x (* y 2.0)))
4.0ms
(sin (/ x (* y 2.0)))

simplify51.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0138457
1421413
21751413
35002413

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: 21.6b

Counts
53 → 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 (1.0ms)

IterNodesCost
000

prune55.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New000
Fresh01313
Picked011
Done000
Total01414

Merged error: 21.6b

Counts
14 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

23.6b
(tan (/ x (* y 2.0)))
23.8b
(sin (/ x (* y 2.0)))
23.8b
(sin (/ x (* y 2.0)))
23.8b
(sin (/ 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
1×tan-quot
Counts
4 → 29
Calls
4 calls:
2.0ms
(tan (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))
2.0ms
(sin (/ x (* y 2.0)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(tan (/ x (* y 2.0)))
4.0ms
(sin (/ x (* y 2.0)))
4.0ms
(sin (/ x (* y 2.0)))
4.0ms
(sin (/ x (* y 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
056192
1123164
2434164
31952164
45001164

prune206.0ms

Filtered
37 candidates to 41 candidates (-10.8%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New39241
Fresh11112
Picked011
Done011
Total401555

Merged error: 21.5b

Counts
55 → 15

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
9.3b
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
23.6b
(tan (/ x (* y 2.0)))
23.8b
(sin (/ x (* y 2.0)))

rewrite19.0ms

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:
6.0ms
(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
(tan (/ x (* y 2.0)))
3.0ms
(sin (/ x (* y 2.0)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(pow (/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0)))) 3)
17.0ms
(/ (tan (/ x (* y 2.0))) (sin (/ x (* y 2.0))))
13.0ms
(tan (/ x (* y 2.0)))
4.0ms
(sin (/ x (* y 2.0)))

simplify63.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
03371072
11554977
25001968

prune221.0ms

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

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New947101
Fresh3912
Picked101
Done022
Total9818116

Merged error: 21.5b

Counts
116 → 18

regimes660.0ms

Accuracy

0% (2.5b remaining)

Error of 28.8b against oracle of 26.3b and baseline of 28.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

analyze761.0ms

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

sample2.7s

Algorithm
intervals
Results
815.0ms1421×body1280valid
728.0ms651×body2560valid
361.0ms987×body640valid
341.0ms4056×body80valid
153.0ms578×body320valid
62.0ms307×body160valid

Profiling

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