Details

Time bar (total: 7.3s)

analyze883.0ms

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

sample165.0ms

Algorithm
intervals
Results
99.0ms30×body2560valid
32.0ms53×body1280valid
8.0ms27×body640valid
7.0ms125×body80valid
3.0ms15×body320valid
2.0ms1×body2560invalid
1.0ms6×body160valid
1.0ms8×body80invalid
0.0ms1×body1280invalid

simplify446.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
067114
167114

prune13.0ms

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: 20.0b

Counts
2 → 2

localize22.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
5.4b
(/ (tan (* PI l)) (* F F))
30.1b
(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))

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))

simplify52.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
05225541

prune168.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New591978
Fresh101
Picked101
Done000
Total611980

Merged error: 14.5b

Counts
80 → 19

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
30.1b
(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:
19.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify68.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04715594
14715594

prune153.0ms

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

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New78684
Fresh51318
Picked011
Done000
Total8320103

Merged error: 14.5b

Counts
103 → 20

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
30.1b
(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:
4.0ms
(/ (tan (* PI l)) F)
3.0ms
(* PI l)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series30.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (tan (* PI l)) F)
4.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify70.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (64.0ms)

IterNodesCost
04715594
14715594

prune155.0ms

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

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New80484
Fresh21618
Picked011
Done011
Total8222104

Merged error: 14.5b

Counts
104 → 22

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(/ F (tan (* PI l)))
0.6b
(/ 1 (* F (/ F (tan (* PI l)))))
30.1b
(tan (* PI l))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
18×add-sqr-sqrt
17×add-cbrt-cube
16×add-cube-cbrt *-un-lft-identity
12×times-frac
10×div-exp
9×pow1
7×prod-exp
6×associate-/l*
5×cbrt-undiv
4×associate-/r* add-log-exp
3×rec-exp 1-exp associate-*r* associate-*l* cbrt-unprod
2×tan-quot pow-flip frac-2neg pow-prod-down clear-num associate-/r/ div-inv
1×associate-*r/ *-commutative inv-pow unswap-sqr
Counts
4 → 87
Calls
4 calls:
3.0ms
(* PI l)
4.0ms
(/ F (tan (* PI l)))
7.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
2.0ms
(tan (* PI l))

series60.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
27.0ms
(/ F (tan (* PI l)))
20.0ms
(/ 1 (* F (/ F (tan (* PI l)))))
10.0ms
(tan (* PI l))

simplify57.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05081822

prune99.0ms

Filtered
63 candidates to 99 candidates (-57.1%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New95499
Fresh10919
Picked101
Done022
Total10615121

Merged error: 10.7b

Counts
121 → 15

regimes482.0ms

Accuracy

0% (0.4b remaining)

Error of 8.5b against oracle of 8.1b and baseline of 8.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
06823
16823

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.4s808×body2560valid
994.0ms1718×body1280valid
261.0ms937×body640valid
196.0ms3944×body80valid
66.0ms372×body320valid
28.0ms221×body160valid
9.0ms167×body80invalid
7.0ms3×body2560invalid
3.0ms6×body1280invalid
1.0ms3×body5120exit

Profiling

Loading profile data...