Details

Time bar (total: 7.2s)

analyze895.0ms (12.4%)

Algorithm
1×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

sample139.0ms (1.9%)

Algorithm
1×intervals
Results
77.0ms25×body2560valid
27.0ms48×body1280valid
9.0ms32×body640valid
7.0ms136×body80valid
3.0ms15×body320valid
0.0ms7×body80invalid

simplify465.0ms (6.4%)

Algorithm
1×egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
067114
167114

prune13.0ms (0.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 13.3b

Counts
2 → 2

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
2.7b
(/ (tan (* PI l)) (* F F))
28.0b
(tan (* PI l))

rewrite20.0ms (0.3%)

Algorithm
1×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:

7.0ms
(/ (tan (* PI l)) (* F F))
4.0ms
(* PI l)
4.0ms
(* PI l)
3.0ms
(tan (* PI l))

series65.0ms (0.9%)

Counts
4 → 12
Calls

4 calls:

38.0ms
(tan (* PI l))
22.0ms
(/ (tan (* PI l)) (* F F))
2.0ms
(* PI l)
2.0ms
(* PI l)

simplify50.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05225541

prune177.0ms (2.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New641478
Fresh101
Picked101
Done000
Total661480

Merged error: 10.4b

Counts
80 → 14

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))
0.3b
(* PI l)
0.3b
(* PI l)
28.0b
(tan (* PI l))

rewrite26.0ms (0.4%)

Algorithm
1×rewrite-expression-head
Rules
43×add-sqr-sqrt
30×add-exp-log
25×times-frac
24×*-un-lft-identity
22×add-cube-cbrt
20×add-cbrt-cube
19×associate-*r* associate-*l*
10×pow1 prod-exp
8×div-exp unswap-sqr
6×cbrt-unprod
4×cbrt-undiv add-log-exp
3×pow-prod-down *-commutative
2×rec-exp 1-exp div-inv
1×tan-quot frac-times associate-*r/ associate-*l/
Counts
4 → 100
Calls

4 calls:

12.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
4.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series39.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
9.0ms
(tan (* PI l))
3.0ms
(* PI l)
3.0ms
(* PI l)

simplify46.0ms (0.6%)

Algorithm
1×egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05244891

prune201.0ms (2.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1075112
Fresh31013
Picked011
Done000
Total11016126

Merged error: 10.4b

Counts
126 → 16

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.5b
(/ 1 (* F (/ F (tan (* PI l)))))
28.0b
(tan (* PI l))

rewrite19.0ms (0.3%)

Algorithm
1×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:

7.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
4.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series38.0ms (0.5%)

Counts
4 → 12
Calls

4 calls:

24.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
9.0ms
(tan (* PI l))
3.0ms
(* PI l)
2.0ms
(* PI l)

simplify51.0ms (0.7%)

Algorithm
1×egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05077592

prune172.0ms (2.4%)

Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New86389
Fresh11314
Picked011
Done011
Total8718105

Merged error: 10.4b

Counts
105 → 18

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b
(/ F (tan (* PI l)))
0.3b
(* PI l)
0.3b
(* PI l)
28.0b
(tan (* PI l))

rewrite16.0ms (0.2%)

Algorithm
1×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)))
4.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series46.0ms (0.6%)

Counts
4 → 12
Calls

4 calls:

31.0ms
(/ F (tan (* PI l)))
10.0ms
(tan (* PI l))
3.0ms
(* PI l)
3.0ms
(* PI l)

simplify62.0ms (0.9%)

Algorithm
1×egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
04709583
14709583

prune116.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh8715
Picked101
Done022
Total9210102

Merged error: 7.0b

Counts
102 → 10

regimes348.0ms (4.8%)

Accuracy

Total 0.4b remaining (5.1%)

Threshold costs 0.4b (5.1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07823
17823

end0.0ms (0%)

sample4.2s (57.6%)

Algorithm
1×intervals
Results
2.4s777×body2560valid
975.0ms1671×body1280valid
280.0ms994×body640valid
207.0ms3996×body80valid
66.0ms374×body320valid
23.0ms188×body160valid
11.0ms183×body80invalid
4.0ms2×body2560invalid
0.0ms1×body1280invalid

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