Details

Time bar (total: 8.0s)

analyze891.0ms

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
85.0ms28×body2560valid
31.0ms51×body1280valid
8.0ms29×body640valid
7.0ms126×body80valid
3.0ms14×body320valid
1.0ms8×body160valid
0.0ms1×body1280invalid
0.0ms7×body80invalid

simplify469.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04614
14614

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: 18.3b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
4.1b
(/ (tan (* PI l)) (* F F))
30.0b
(tan (* PI l))

rewrite20.0ms

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)
7.0ms
(/ (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)
32.0ms
(/ (tan (* PI l)) (* F F))
19.0ms
(tan (* PI l))

simplify48.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (42.0ms)

IterNodesCost
05198541

prune144.0ms

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

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New611778
Fresh101
Picked101
Done000
Total631780

Merged error: 14.0b

Counts
80 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.2b
(* PI l)
0.2b
(* PI l)
30.0b
(tan (* PI l))

rewrite15.0ms

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:
4.0ms
(/ (tan (* PI l)) F)
3.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series32.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (tan (* PI l)) F)
4.0ms
(* PI l)
2.0ms
(* PI l)
9.0ms
(tan (* PI l))

simplify74.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (68.0ms)

IterNodesCost
05080594

prune145.0ms

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

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New75984
Fresh7916
Picked101
Done000
Total8318101

Merged error: 13.9b

Counts
101 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(/ 1 (/ F (tan (* PI l))))
30.0b
(tan (* PI l))

rewrite22.0ms

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))

series34.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
3.0ms
(* PI l)
20.0ms
(/ 1 (/ F (tan (* PI l))))
9.0ms
(tan (* PI l))

simplify67.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
051541325

prune169.0ms

Filtered
82 candidates to 136 candidates (-65.9%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1342136
Fresh21517
Picked011
Done000
Total13618154

Merged error: 13.9b

Counts
154 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))
0.2b
(* PI l)
0.2b
(* PI l)
30.0b
(tan (* PI l))

rewrite24.0ms

Algorithm
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))
3.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series36.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
2.0ms
(* PI l)
3.0ms
(* PI l)
11.0ms
(tan (* PI l))

simplify54.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
04934891
14934891

prune97.0ms

Filtered
70 candidates to 112 candidates (-60.0%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1102112
Fresh21416
Picked011
Done011
Total11218130

Merged error: 13.9b

Counts
130 → 18

regimes406.0ms

Accuracy

0% (0.2b remaining)

Error of 12.7b against oracle of 12.4b and baseline of 12.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01516
11516

end0.0ms

analyze699.0ms

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

sample4.3s

Algorithm
intervals
Results
2.5s842×body2560valid
985.0ms1687×body1280valid
256.0ms948×body640valid
203.0ms3928×body80valid
74.0ms388×body320valid
25.0ms207×body160valid
10.0ms175×body80invalid
3.0ms6×body1280invalid
2.0ms5×body5120exit
2.0ms1×body2560invalid

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