Details

Time bar (total: 7.1s)

analyze877.0ms

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

sample135.0ms

Algorithm
intervals
Results
80.0ms30×body2560valid
25.0ms44×body1280valid
7.0ms27×body640valid
7.0ms125×body80valid
3.0ms19×body320valid
1.0ms11×body160valid
0.0ms6×body80invalid

simplify488.0ms

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: 17.4b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
4.1b
(/ (tan (* PI l)) (* F F))
30.6b
(tan (* PI l))

rewrite19.0ms

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)
4.0ms
(* PI l)
6.0ms
(/ (tan (* PI l)) (* F F))
3.0ms
(tan (* PI l))

series56.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
33.0ms
(/ (tan (* PI l)) (* F F))
18.0ms
(tan (* PI l))

simplify52.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05225541

prune143.0ms

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

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New621678
Fresh101
Picked101
Done000
Total641680

Merged error: 13.2b

Counts
80 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.6b
(/ 1 (* F (/ F (tan (* PI l)))))
30.6b
(tan (* PI l))

rewrite20.0ms

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)
6.0ms
(* PI l)
7.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
2.0ms
(tan (* PI l))

series32.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
19.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
8.0ms
(tan (* PI l))

simplify50.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05077592

prune125.0ms

Filtered
51 candidates to 89 candidates (-74.5%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New84589
Fresh21315
Picked101
Done000
Total8718105

Merged error: 13.2b

Counts
105 → 18

localize9.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(/ (tan (* PI l)) F)
30.6b
(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 div-inv associate-/l/
Counts
4 → 72
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
4.0ms
(/ (tan (* PI l)) F)
2.0ms
(tan (* PI l))

series30.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
17.0ms
(/ (tan (* PI l)) F)
8.0ms
(tan (* PI l))

simplify68.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04715594
14715594

prune142.0ms

Filtered
59 candidates to 84 candidates (-42.4%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New76884
Fresh71017
Picked101
Done000
Total8418102

Merged error: 13.2b

Counts
102 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.5b
(/ 1 (/ F (tan (* PI l))))
30.6b
(tan (* PI l))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
19×add-exp-log
14×associate-/r*
13×add-cbrt-cube
9×pow1
7×div-exp
6×associate-*r* associate-*l*
5×tan-quot associate-/r/ div-inv
4×add-log-exp
3×cbrt-undiv associate-/l*
2×rec-exp 1-exp pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow-flip frac-2neg clear-num inv-pow
Counts
4 → 124
Calls
4 calls:
3.0ms
(* PI l)
5.0ms
(* PI l)
7.0ms
(/ 1 (/ F (tan (* PI l))))
2.0ms
(tan (* PI l))

series32.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
19.0ms
(/ 1 (/ F (tan (* PI l))))
8.0ms
(tan (* PI l))

simplify61.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049411325
149411325

prune113.0ms

Filtered
83 candidates to 136 candidates (-63.9%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1351136
Fresh01717
Picked011
Done000
Total13519154

Merged error: 13.2b

Counts
154 → 19

regimes410.0ms

Accuracy

0% (0.3b remaining)

Error of 12.6b against oracle of 12.3b and baseline of 12.6b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07016
17016

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.4s820×body2560valid
967.0ms1730×body1280valid
256.0ms983×body640valid
187.0ms3853×body80valid
67.0ms403×body320valid
24.0ms211×body160valid
8.0ms152×body80invalid
4.0ms10×body1280invalid
2.0ms6×body5120exit
2.0ms1×body2560invalid

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