Details

Time bar (total: 7.7s)

analyze867.0ms

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

sample132.0ms

Algorithm
intervals
Results
70.0ms23×body2560valid
33.0ms58×body1280valid
7.0ms132×body80valid
6.0ms24×body640valid
4.0ms17×body320valid
0.0ms2×body160valid
0.0ms3×body80invalid

simplify461.0ms

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: 16.1b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
4.5b
(/ (tan (* PI l)) (* F F))
29.0b
(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)
3.0ms
(* PI l)
6.0ms
(/ (tan (* PI l)) (* F F))
3.0ms
(tan (* PI l))

series53.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
31.0ms
(/ (tan (* PI l)) (* F F))
17.0ms
(tan (* PI l))

simplify49.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05198541

prune146.0ms

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: 11.4b

Counts
80 → 16

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
29.0b
(tan (* PI l))

rewrite16.0ms

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

series29.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New77784
Fresh31215
Picked101
Done000
Total8119100

Merged error: 11.4b

Counts
100 → 19

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)))))
29.0b
(tan (* PI l))

rewrite19.0ms

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)))))
4.0ms
(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))

simplify45.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (40.0ms)

IterNodesCost
05053592

prune128.0ms

Filtered
53 candidates to 89 candidates (-67.9%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New87289
Fresh31518
Picked011
Done000
Total9018108

Merged error: 11.4b

Counts
108 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (tan (* PI l)) (/ 1 F))
29.0b
(tan (* PI l))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
19×associate-*r*
17×add-exp-log *-un-lft-identity
16×add-cube-cbrt
13×add-cbrt-cube
11×times-frac
10×pow1
9×associate-*l*
6×prod-exp
5×unswap-sqr
4×cbrt-unprod add-log-exp
3×tan-quot pow-prod-down *-commutative
2×div-exp
1×cbrt-undiv frac-times rec-exp 1-exp associate-*r/ associate-*l/ un-div-inv div-inv
Counts
4 → 82
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
8.0ms
(* (tan (* PI l)) (/ 1 F))
2.0ms
(tan (* PI l))

series29.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
15.0ms
(* (tan (* PI l)) (/ 1 F))
8.0ms
(tan (* PI l))

simplify62.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
05021626

prune81.0ms

Filtered
61 candidates to 94 candidates (-54.1%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh01616
Picked011
Done011
Total9418112

Merged error: 11.4b

Counts
112 → 18

regimes426.0ms

Accuracy

0% (0.3b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

analyze664.0ms

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

sample4.1s

Algorithm
intervals
Results
2.4s816×body2560valid
945.0ms1642×body1280valid
255.0ms944×body640valid
204.0ms4023×body80valid
63.0ms368×body320valid
24.0ms207×body160valid
11.0ms5×body2560invalid
9.0ms174×body80invalid
3.0ms7×body1280invalid
2.0ms4×body5120exit

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