Details

Time bar (total: 7.3s)

sample392.0ms

Algorithm
intervals
Results
80.0ms26×body2560valid
34.0ms50×body1280valid
7.0ms138×body80valid
7.0ms26×body640valid
3.0ms19×body320valid
1.0ms9×body160valid

simplify23.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0197
1417
2827
31227
41477
51577
61597
71597

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: 15.6b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.7b
(/ 1.0 (* F F))
4.1b
(* (/ 1.0 (* F F)) (tan (* PI l)))
31.6b
(tan (* PI l))

rewrite25.0ms

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 expm1-log1p-u div-exp log1p-expm1-u 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 → 85
Calls
4 calls:
4.0ms
(* PI l)
5.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series271.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI l)
24.0ms
(/ 1.0 (* F F))
138.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
88.0ms
(tan (* PI l))

simplify49.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0334468
11442399
25001398

prune230.0ms

Filtered
97 candidates to 69 candidates (71.1%)
Pruning

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New851297
Fresh000
Picked101
Done000
Total861298

Merged error: 11.4b

Counts
98 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
31.6b
(tan (* PI l))

rewrite22.0ms

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×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u 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 → 86
Calls
4 calls:
3.0ms
(* PI l)
6.0ms
(* PI l)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series227.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
19.0ms
(* PI l)
127.0ms
(* (/ 1.0 F) (tan (* PI l)))
62.0ms
(tan (* PI l))

simplify89.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 3 (83.0ms)

IterNodesCost
0286403
11032363
23928361
35001360

prune232.0ms

Filtered
98 candidates to 72 candidates (73.5%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New89998
Fresh4711
Picked101
Done000
Total9416110

Merged error: 11.4b

Counts
110 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.2b
(/ (tan (* PI l)) F)
31.6b
(tan (* PI l))

rewrite16.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 80
Calls
4 calls:
3.0ms
(* PI l)
4.0ms
(* PI l)
5.0ms
(/ (tan (* PI l)) F)
2.0ms
(tan (* PI l))

series211.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* PI l)
19.0ms
(* PI l)
102.0ms
(/ (tan (* PI l)) F)
65.0ms
(tan (* PI l))

simplify66.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
0212368
1688341
22316339
35002338

prune217.0ms

Filtered
92 candidates to 68 candidates (73.9%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New91192
Fresh01515
Picked101
Done000
Total9216108

Merged error: 11.4b

Counts
108 → 16

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.7b
(/ 1 (/ F (tan (* PI l))))
31.6b
(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×expm1-log1p-u log1p-expm1-u 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 → 132
Calls
4 calls:
4.0ms
(* PI l)
4.0ms
(* PI l)
7.0ms
(/ 1 (/ F (tan (* PI l))))
2.0ms
(tan (* PI l))

series228.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* PI l)
19.0ms
(* PI l)
116.0ms
(/ 1 (/ F (tan (* PI l))))
68.0ms
(tan (* PI l))

simplify47.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0429900
11699802
25002713

prune222.0ms

Filtered
144 candidates to 82 candidates (56.9%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1422144
Fresh11415
Picked011
Done000
Total14317160

Merged error: 11.4b

Counts
160 → 17

regimes325.0ms

Accuracy

0% (0.3b remaining)

Error of 12.4b against oracle of 12.1b and baseline of 12.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.6s840×body2560valid
967.0ms1669×body1280valid
246.0ms899×body640valid
234.0ms4563×body80valid
75.0ms424×body320valid
27.0ms209×body160valid
1.0ms3×body5120exit

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