Details

Time bar (total: 7.3s)

sample402.0ms

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

simplify21.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 15.6b

Counts
2 → 1

localize13.0ms

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))

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))
10.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series269.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI l)
25.0ms
(/ 1.0 (* F F))
138.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
87.0ms
(tan (* PI l))

simplify47.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323443
11416374
25001374

prune208.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New771289
Fresh000
Picked011
Done000
Total771390

Merged error: 11.4b

Counts
90 → 13

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))

rewrite19.0ms

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:
3.0ms
(* PI l)
4.0ms
(* PI l)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series235.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
25.0ms
(* PI l)
125.0ms
(* (/ 1.0 F) (tan (* PI l)))
65.0ms
(tan (* PI l))

simplify88.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune214.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New81990
Fresh4711
Picked101
Done011
Total8617103

Merged error: 11.4b

Counts
103 → 17

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))

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:
3.0ms
(* PI l)
4.0ms
(* PI l)
4.0ms
(/ (tan (* PI l)) F)
2.0ms
(tan (* PI l))

series213.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI l)
25.0ms
(* PI l)
103.0ms
(/ (tan (* PI l)) F)
65.0ms
(tan (* PI l))

simplify64.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22215322
35001322

prune196.0ms

Filtered
84 candidates to 60 candidates (71.4%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New83184
Fresh01515
Picked101
Done011
Total8417101

Merged error: 11.4b

Counts
101 → 17

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×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))

series229.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* PI l)
20.0ms
(* PI l)
116.0ms
(/ 1 (/ F (tan (* PI l))))
68.0ms
(tan (* PI l))

simplify48.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0421878
11678781
25001693

prune202.0ms

Filtered
136 candidates to 74 candidates (54.4%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1342136
Fresh11415
Picked011
Done011
Total13518153

Merged error: 11.4b

Counts
153 → 18

regimes404.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

sample4.3s

Algorithm
intervals
Results
2.6s840×body2560valid
946.0ms1669×body1280valid
241.0ms899×body640valid
236.0ms4563×body80valid
78.0ms424×body320valid
25.0ms209×body160valid
1.0ms3×body5120exit

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