Details

Time bar (total: 7.0s)

analyze882.0ms

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
18.7%81.2%0.1%8
29.7%69.5%0.9%9
30.4%67.9%1.7%10
36.3%61.1%2.6%11
36.9%59.5%3.6%12
39.9%55.9%4.2%13
40.2%54.9%4.9%14

sample147.0ms

Algorithm
intervals
Results
82.0ms28×body2560valid
30.0ms57×body1280valid
11.0ms39×body640valid
6.0ms116×body80valid
2.0ms10×body320valid
1.0ms6×body160valid
0.0ms4×body80invalid

simplify453.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
067114
167114

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 15.0b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
3.0b
(/ (tan (* PI l)) (* F F))
33.9b
(tan (* PI l))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
8×pow1
6×associate-*r* associate-*l*
4×add-log-exp
3×times-frac prod-exp cbrt-unprod associate-/l*
2×tan-quot cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv associate-/l/
Counts
4 → 66
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
6.0ms
(/ (tan (* PI l)) (* F F))
3.0ms
(tan (* PI l))

series62.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
20.0ms
(/ (tan (* PI l)) (* F F))
37.0ms
(tan (* PI l))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05225541

prune152.0ms

Filtered
53 candidates to 78 candidates (-47.2%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New601878
Fresh101
Picked101
Done000
Total621880

Merged error: 12.1b

Counts
80 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.4b
(/ 1 (* F (/ F (tan (* PI l)))))
33.9b
(tan (* PI l))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
17×add-cbrt-cube
14×add-sqr-sqrt
11×pow1
10×add-cube-cbrt *-un-lft-identity
9×div-exp
8×prod-exp
6×associate-*r* associate-*l*
4×cbrt-undiv cbrt-unprod add-log-exp
3×rec-exp times-frac 1-exp pow-prod-down associate-/l*
2×pow-flip *-commutative unswap-sqr
1×tan-quot frac-2neg associate-*r/ clear-num associate-/r* associate-/r/ div-inv inv-pow
Counts
4 → 77
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
7.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
2.0ms
(tan (* PI l))

series34.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
21.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
8.0ms
(tan (* PI l))

simplify51.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05077592

prune132.0ms

Filtered
50 candidates to 89 candidates (-78.0%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New84589
Fresh31417
Picked101
Done000
Total8819107

Merged error: 12.1b

Counts
107 → 19

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ F (tan (* PI l)))
0.3b
(* PI l)
0.3b
(* PI l)
33.9b
(tan (* PI l))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×add-cube-cbrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
9×times-frac
8×pow1
6×associate-*r* associate-*l*
4×add-log-exp
3×associate-/r* associate-/l*
2×tan-quot pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×cbrt-undiv frac-2neg div-exp clear-num associate-/r/ div-inv
Counts
4 → 72
Calls
4 calls:
4.0ms
(/ F (tan (* PI l)))
3.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series41.0ms

Counts
4 → 12
Calls
4 calls:
28.0ms
(/ F (tan (* PI l)))
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify61.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04709583
14709583

prune133.0ms

Filtered
60 candidates to 84 candidates (-40.0%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New80484
Fresh10818
Picked101
Done000
Total9112103

Merged error: 7.3b

Counts
103 → 12

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI (* l (* F -1/3)))
0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* F -1/3)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
19×pow1 add-exp-log add-cbrt-cube
17×add-sqr-sqrt
12×associate-*l*
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
9×pow-prod-down prod-exp cbrt-unprod
4×*-commutative add-log-exp
3×unswap-sqr
Counts
4 → 75
Calls
4 calls:
6.0ms
(* PI (* l (* F -1/3)))
3.0ms
(* PI l)
3.0ms
(* PI l)
4.0ms
(* F -1/3)

series11.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* PI (* l (* F -1/3)))
2.0ms
(* PI l)
2.0ms
(* PI l)
2.0ms
(* F -1/3)

simplify44.0ms

Algorithm
egg-herbie
Counts
87 → 87
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
04906449
14906449

prune87.0ms

Filtered
53 candidates to 87 candidates (-64.2%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New761187
Fresh4711
Picked101
Done000
Total811899

Merged error: 7.3b

Counts
99 → 18

regimes418.0ms

Accuracy

0% (0.3b remaining)

Error of 7.9b against oracle of 7.6b and baseline of 7.9b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08234
18234

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.4s796×body2560valid
944.0ms1687×body1280valid
262.0ms962×body640valid
201.0ms3993×body80valid
67.0ms391×body320valid
20.0ms171×body160valid
13.0ms201×body80invalid
4.0ms2×body2560invalid
2.0ms4×body1280invalid
1.0ms3×body5120exit

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