Details

Time bar (total: 7.7s)

analyze863.0ms

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

sample134.0ms

Algorithm
intervals
Results
72.0ms22×body2560valid
34.0ms63×body1280valid
8.0ms31×body640valid
6.0ms130×body80valid
1.0ms8×body320valid
1.0ms9×body80invalid
0.0ms2×body160valid

simplify448.0ms

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: 13.1b

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

series54.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
31.0ms
(/ (tan (* PI l)) (* F F))
18.0ms
(tan (* PI l))

simplify50.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (43.0ms)

IterNodesCost
05198541

prune131.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New651378
Fresh101
Picked101
Done000
Total671380

Merged error: 10.0b

Counts
80 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.5b
(/ 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:
4.0ms
(* PI l)
4.0ms
(* PI l)
7.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
2.0ms
(tan (* PI l))

series35.0ms

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

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
05053592

prune110.0ms

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

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New86389
Fresh21012
Picked011
Done000
Total8814102

Merged error: 10.0b

Counts
102 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 F) (/ (tan (* PI l)) F))
0.3b
(* PI l)
0.3b
(* PI l)
29.0b
(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:
11.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
3.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series35.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* (/ 1 F) (/ (tan (* PI l)) F))
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify53.0ms

Algorithm
egg-herbie
Counts
112 → 112
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
04934891
14934891

prune141.0ms

Filtered
71 candidates to 112 candidates (-57.7%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New1084112
Fresh21012
Picked011
Done011
Total11016126

Merged error: 10.0b

Counts
126 → 16

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* F (/ F (tan (* (sqrt PI) (* l (sqrt PI)))))))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
29.2b
(tan (* (sqrt PI) (* l (sqrt PI))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
13×add-cbrt-cube
10×add-sqr-sqrt
9×pow1 div-exp
8×add-cube-cbrt *-un-lft-identity
6×prod-exp sqrt-prod
4×cbrt-undiv add-log-exp
3×rec-exp times-frac 1-exp associate-/l*
2×rem-sqrt-square pow-flip sqrt-pow1 pow1/2 cbrt-unprod
1×tan-quot frac-2neg associate-*r/ pow-prod-down clear-num associate-/r* associate-/r/ div-inv inv-pow
Counts
4 → 67
Calls
4 calls:
8.0ms
(/ 1 (* F (/ F (tan (* (sqrt PI) (* l (sqrt PI)))))))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)
3.0ms
(tan (* (sqrt PI) (* l (sqrt PI))))

series31.0ms

Counts
4 → 8
Calls
4 calls:
20.0ms
(/ 1 (* F (/ F (tan (* (sqrt PI) (* l (sqrt PI)))))))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
11.0ms
(tan (* (sqrt PI) (* l (sqrt PI))))

simplify53.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
04932530
14932530

prune65.0ms

Filtered
46 candidates to 75 candidates (-63.0%)
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New74175
Fresh11213
Picked011
Done022
Total751691

Merged error: 10.0b

Counts
91 → 16

regimes375.0ms

Accuracy

0% (0.3b 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
01616
11616

end0.0ms

analyze673.0ms

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
2.6s847×body2560valid
988.0ms1697×body1280valid
262.0ms967×body640valid
202.0ms3922×body80valid
64.0ms367×body320valid
24.0ms200×body160valid
10.0ms176×body80invalid
3.0ms6×body1280invalid
2.0ms4×body5120exit

Profiling

Loading profile data...