Details

Time bar (total: 7.4s)

analyze912.0ms

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

sample142.0ms

Algorithm
intervals
Results
74.0ms24×body2560valid
39.0ms57×body1280valid
8.0ms29×body640valid
7.0ms129×body80valid
2.0ms11×body320valid
1.0ms6×body160valid
0.0ms3×body80invalid

simplify472.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (35.0ms)

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: 17.1b

Counts
2 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
4.3b
(/ (tan (* PI l)) (* F F))
29.6b
(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:
4.0ms
(* PI l)
3.0ms
(* PI l)
6.0ms
(/ (tan (* PI l)) (* F F))
3.0ms
(tan (* PI l))

series59.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
35.0ms
(/ (tan (* PI l)) (* F F))
19.0ms
(tan (* PI l))

simplify51.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (45.0ms)

IterNodesCost
05225541

prune167.0ms

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

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New572178
Fresh101
Picked101
Done000
Total592180

Merged error: 12.7b

Counts
80 → 21

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
29.6b
(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:
17.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
9.0ms
(tan (* PI l))

simplify69.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (63.0ms)

IterNodesCost
04715594
14715594

prune165.0ms

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

22 alts after pruning (22 fresh and 0 done)

PrunedKeptTotal
New731184
Fresh91120
Picked101
Done000
Total8322105

Merged error: 12.7b

Counts
105 → 22

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(/ 1 (/ F (tan (* PI l))))
29.6b
(tan (* PI l))

rewrite20.0ms

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)
4.0ms
(* PI l)
7.0ms
(/ 1 (/ F (tan (* PI l))))
2.0ms
(tan (* PI l))

series36.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
22.0ms
(/ 1 (/ F (tan (* PI l))))
9.0ms
(tan (* PI l))

simplify62.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
049411325
149411325

prune188.0ms

Filtered
84 candidates to 136 candidates (-61.9%)
Pruning

22 alts after pruning (21 fresh and 1 done)

PrunedKeptTotal
New1360136
Fresh02121
Picked011
Done000
Total13622158

Merged error: 12.7b

Counts
158 → 22

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
29.6b
(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)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series30.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
9.0ms
(tan (* PI l))

simplify68.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04715594
14715594

prune81.0ms

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

22 alts after pruning (20 fresh and 2 done)

PrunedKeptTotal
New83184
Fresh11920
Picked011
Done011
Total8422106

Merged error: 12.7b

Counts
106 → 22

regimes492.0ms

Accuracy

0% (0.2b remaining)

Error of 12.5b against oracle of 12.2b and baseline of 12.5b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
07016
17016

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.5s830×body2560valid
972.0ms1658×body1280valid
267.0ms953×body640valid
197.0ms3922×body80valid
76.0ms436×body320valid
24.0ms201×body160valid
10.0ms178×body80invalid
4.0ms2×body2560invalid
2.0ms4×body1280invalid
1.0ms3×body5120exit

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