Details

Time bar (total: 7.3s)

sample438.0ms

Algorithm
intervals
Results
91.0ms28×body2560valid
31.0ms52×body1280valid
9.0ms31×body640valid
8.0ms161×body80valid
2.0ms13×body320valid
1.0ms5×body160valid

simplify43.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.8b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.4b
(/ 1.0 (* F F))
3.0b
(* (/ 1.0 (* F F)) (tan (* PI l)))
29.5b
(tan (* PI l))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
17×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*l*
8×pow1
7×times-frac
6×associate-*r* prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×tan-quot associate-/l* unswap-sqr
2×pow-prod-down *-commutative div-inv
1×frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 77
Calls
4 calls:
3.0ms
(* PI l)
4.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series260.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI l)
27.0ms
(/ 1.0 (* F F))
132.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
80.0ms
(tan (* PI l))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0323443
11416374
25001374

prune200.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New80989
Fresh000
Picked101
Done000
Total81990

Merged error: 13.6b

Counts
90 → 9

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
29.5b
(tan (* PI l))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
19×associate-*l*
16×add-cube-cbrt *-un-lft-identity
13×add-exp-log add-cbrt-cube
10×pow1 times-frac
9×associate-*r*
4×prod-exp cbrt-unprod add-log-exp unswap-sqr
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 78
Calls
4 calls:
6.0ms
(* PI l)
4.0ms
(* PI l)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series227.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI l)
19.0ms
(* PI l)
126.0ms
(* (/ 1.0 F) (tan (* PI l)))
62.0ms
(tan (* PI l))

simplify89.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune224.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New791190
Fresh178
Picked101
Done000
Total811899

Merged error: 13.6b

Counts
99 → 18

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
29.5b
(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))

series208.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (tan (* PI l)) F)
20.0ms
(* PI l)
19.0ms
(* PI l)
65.0ms
(tan (* PI l))

simplify65.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune201.0ms

Filtered
84 candidates to 60 candidates (71.4%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New80484
Fresh21517
Picked101
Done000
Total8319102

Merged error: 13.5b

Counts
102 → 19

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.5b
(/ 1 (/ F (tan (* PI l))))
29.5b
(tan (* PI l))

rewrite21.0ms

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))

series220.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* PI l)
20.0ms
(* PI l)
112.0ms
(/ 1 (/ F (tan (* PI l))))
66.0ms
(tan (* PI l))

simplify47.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0421876
11678779
25001691

prune187.0ms

Filtered
136 candidates to 72 candidates (52.9%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New1351136
Fresh01818
Picked011
Done000
Total13520155

Merged error: 13.5b

Counts
155 → 20

regimes361.0ms

Accuracy

0% (0.2b 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
0189
1189

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.5s822×body2560valid
1.0s1750×body1280valid
259.0ms926×body640valid
240.0ms4524×body80valid
69.0ms393×body320valid
24.0ms201×body160valid
2.0ms4×body5120exit

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