Details

Time bar (total: 46.4s)

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

sample594.0ms

Algorithm
intervals
Results
100.0ms32×body2560valid
37.0ms59×body1280valid
7.0ms25×body640valid
6.0ms120×body80valid
2.0ms12×body320valid
1.0msbody160valid

simplify451.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
067114
167114

prune14.0ms

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: 20.6b

Counts
2 → 2

localize137.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
16.3b
(/ (tan (* PI l)) (* F F))
32.9b
(tan (* PI l))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
pow1
associate-*r* associate-*l*
add-log-exp
times-frac prod-exp cbrt-unprod associate-/l*
tan-quot cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
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))

series42.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
20.0ms
(/ (tan (* PI l)) (* F F))
18.0ms
(tan (* PI l))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05225541

prune156.0ms

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

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New611778
Fresh011
Picked101
Done000
Total621880

Merged error: 15.2b

Counts
80 → 18

localize135.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
5.1b
(/ (tan (* PI l)) F)
5.7b
(/ (/ (tan (* PI l)) F) F)
32.9b
(tan (* PI l))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
84×times-frac
58×add-sqr-sqrt
56×add-cube-cbrt *-un-lft-identity
16×associate-/l*
13×add-exp-log add-cbrt-cube
pow1 associate-/r* div-inv
cbrt-undiv div-exp add-log-exp
associate-*r* associate-*l*
tan-quot frac-2neg clear-num associate-/l/
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 124
Calls
4 calls:
3.0ms
(* PI l)
4.0ms
(/ (tan (* PI l)) F)
6.0ms
(/ (/ (tan (* PI l)) F) F)
2.0ms
(tan (* PI l))

series47.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
15.0ms
(/ (tan (* PI l)) F)
21.0ms
(/ (/ (tan (* PI l)) F) F)
8.0ms
(tan (* PI l))

simplify61.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
049201583
149201583

prune192.0ms

Filtered
96 candidates to 136 candidates (-41.7%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1297136
Fresh41317
Picked011
Done000
Total13321154

Merged error: 15.2b

Counts
154 → 21

localize136.0ms

Local error

Found 4 expressions with local error:

0.5b
(/ 1 (* F (/ F (tan (* PI l)))))
5.0b
(/ F (tan (* PI l)))
5.5b
(* F (/ F (tan (* PI l))))
32.9b
(tan (* PI l))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
27×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity times-frac
20×add-cbrt-cube
14×associate-*r*
11×div-exp
pow1
prod-exp
cbrt-undiv associate-/l*
associate-/r* cbrt-unprod add-log-exp
tan-quot rec-exp 1-exp associate-*l* associate-/r/ div-inv
pow-flip frac-2neg associate-*r/ pow-prod-down clear-num unswap-sqr
*-commutative inv-pow
Counts
4 → 102
Calls
4 calls:
7.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
4.0ms
(/ F (tan (* PI l)))
7.0ms
(* F (/ F (tan (* PI l))))
2.0ms
(tan (* PI l))

series77.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
28.0ms
(/ F (tan (* PI l)))
22.0ms
(* F (/ F (tan (* PI l))))
8.0ms
(tan (* PI l))

simplify56.0ms

Algorithm
egg-herbie
Counts
114 → 114
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049611088
149611088

prune148.0ms

Filtered
76 candidates to 114 candidates (-50.0%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1113114
Fresh81119
Picked101
Done011
Total12015135

Merged error: 10.3b

Counts
135 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* F (+ (/ F (* PI l)) (* PI (* l (* F -1/3))))))
0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* F -1/3)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
21×add-exp-log
18×add-sqr-sqrt
15×add-cbrt-cube
13×pow1
12×add-cube-cbrt *-un-lft-identity
associate-*r* associate-*l*
prod-exp
div-exp pow-prod-down cbrt-unprod add-log-exp
times-frac *-commutative associate-/l* unswap-sqr
cbrt-undiv rec-exp pow-flip 1-exp associate-*r/ associate-/r/
frac-2neg flip3-+ clear-num associate-/r* flip-+ div-inv inv-pow
Counts
4 → 84
Calls
4 calls:
11.0ms
(/ 1 (* F (+ (/ F (* PI l)) (* PI (* l (* F -1/3))))))
3.0ms
(* PI l)
3.0ms
(* PI l)
4.0ms
(* F -1/3)

series28.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(/ 1 (* F (+ (/ F (* PI l)) (* PI (* l (* F -1/3))))))
2.0ms
(* PI l)
2.0ms
(* PI l)
2.0ms
(* F -1/3)

simplify60.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04974820
14974820

prune102.0ms

Filtered
59 candidates to 96 candidates (-62.7%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New87996
Fresh5813
Picked101
Done011
Total9318111

Merged error: 10.3b

Counts
111 → 18

regimes490.0ms

Accuracy

0% (0.5b remaining)

Error of 8.1b against oracle of 7.7b and baseline of 8.1b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07230
17230

end0.0ms

sample42.5s

Algorithm
intervals
Results
2.4s810×body2560valid
922.0ms1642×body1280valid
253.0ms971×body640valid
181.0ms3928×body80valid
70.0ms424×body320valid
25.0ms225×body160valid

Profiling

Loading profile data...