Details

Time bar (total: 7.3s)

sample380.0ms

Algorithm
intervals
Results
74.0ms23×body2560valid
32.0ms58×body1280valid
8.0ms32×body640valid
7.0ms139×body80valid
1.0ms8×body320valid
1.0ms9×body160valid

simplify21.0ms

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: 17.6b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.7b
(/ 1.0 (* F F))
4.4b
(* (/ 1.0 (* F F)) (tan (* PI l)))
30.3b
(tan (* PI l))

rewrite23.0ms

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:
3.0ms
(* PI l)
5.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series263.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI l)
24.0ms
(/ 1.0 (* F F))
133.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
87.0ms
(tan (* PI l))

simplify42.0ms

Algorithm
egg-herbie
Counts
97 → 97
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0334468
11442399
25001398

prune251.0ms

Filtered
97 candidates to 69 candidates (71.1%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New831497
Fresh000
Picked101
Done000
Total841498

Merged error: 12.8b

Counts
98 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ (sqrt 1.0) F) (tan (* PI l)))
30.3b
(tan (* PI l))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
28×associate-*l*
22×add-cube-cbrt *-un-lft-identity
20×times-frac
13×add-exp-log add-cbrt-cube
10×pow1 sqrt-prod
9×associate-*r*
5×unswap-sqr
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp
3×tan-quot pow-prod-down *-commutative
1×cbrt-undiv frac-times associate-*r/ div-exp associate-*l/ div-inv
Counts
4 → 96
Calls
4 calls:
3.0ms
(* PI l)
4.0ms
(* PI l)
9.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series278.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(* PI l)
19.0ms
(* PI l)
172.0ms
(* (/ (sqrt 1.0) F) (tan (* PI l)))
64.0ms
(tan (* PI l))

simplify99.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 3 (92.0ms)

IterNodesCost
0305522
11082478
24101476
35001475

prune330.0ms

Filtered
108 candidates to 78 candidates (72.2%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New9513108
Fresh5813
Picked101
Done000
Total10121122

Merged error: 12.7b

Counts
122 → 21

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
30.3b
(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×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:
4.0ms
(/ (tan (* PI l)) F)
3.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series202.0ms

Counts
4 → 12
Calls
4 calls:
99.0ms
(/ (tan (* PI l)) F)
19.0ms
(* PI l)
19.0ms
(* PI l)
64.0ms
(tan (* PI l))

simplify63.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 3 (58.0ms)

IterNodesCost
0212368
1688341
22316339
35002338

prune300.0ms

Filtered
92 candidates to 68 candidates (73.9%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New83992
Fresh101020
Picked101
Done000
Total9419113

Merged error: 12.7b

Counts
113 → 19

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.7b
(/ 1 (/ F (tan (* PI l))))
30.3b
(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×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))

series212.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
19.0ms
(* PI l)
109.0ms
(/ 1 (/ F (tan (* PI l))))
65.0ms
(tan (* PI l))

simplify47.0ms

Algorithm
egg-herbie
Counts
144 → 144
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0429900
11699802
25002713

prune302.0ms

Filtered
144 candidates to 82 candidates (56.9%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1413144
Fresh31518
Picked011
Done000
Total14419163

Merged error: 12.7b

Counts
163 → 19

regimes374.0ms

Accuracy

0% (0.3b remaining)

Error of 12.1b against oracle of 11.8b and baseline of 12.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01911
11911

end0.0ms

sample4.0s

Algorithm
intervals
Results
2.4s807×body2560valid
856.0ms1575×body1280valid
227.0ms947×body640valid
203.0ms4684×body80valid
56.0ms367×body320valid
22.0ms211×body160valid
2.0ms5×body10240exit