Details

Time bar (total: 5.8s)

sample310.0ms

Algorithm
intervals
Results
198.0ms158×body80valid
40.0ms14×body2560valid
37.0ms60×body1280valid
6.0ms24×body640valid
2.0ms13×body320valid
1.0ms5×body160valid

simplify280.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (5.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 12.0b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.4b
(/ 1.0 (* F F))
2.6b
(* (/ 1.0 (* F F)) (tan (* PI l)))
27.0b
(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))

series48.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
23.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
19.0ms
(tan (* PI l))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323443
11416374
25001374

prune167.0ms

Filtered
89 candidates to 61 candidates (31.5%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New751489
Fresh000
Picked101
Done000
Total761490

Merged error: 9.4b

Counts
90 → 14

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)))
27.0b
(tan (* PI l))

rewrite17.0ms

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

series33.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
20.0ms
(* (/ 1.0 F) (tan (* PI l)))
8.0ms
(tan (* PI l))

simplify86.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (25.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune166.0ms

Filtered
90 candidates to 64 candidates (28.9%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New781290
Fresh4913
Picked101
Done000
Total8321104

Merged error: 9.3b

Counts
104 → 21

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(/ (tan (* PI l)) F)
27.0b
(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×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)
3.0ms
(* PI l)
6.0ms
(/ (tan (* PI l)) F)
2.0ms
(tan (* PI l))

series29.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
16.0ms
(/ (tan (* PI l)) F)
9.0ms
(tan (* PI l))

simplify65.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune141.0ms

Filtered
84 candidates to 60 candidates (28.6%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New82284
Fresh21820
Picked011
Done000
Total8421105

Merged error: 9.3b

Counts
105 → 21

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt l)
27.1b
(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×pow1/3
1×tan-quot
Counts
4 → 41
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt l)
3.0ms
(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

series80.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt l)
21.0ms
(cbrt l)
24.0ms
(cbrt l)
11.0ms
(tan (* (* PI (* (cbrt l) (cbrt l))) (cbrt l)))

simplify116.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 3 (27.0ms)

IterNodesCost
0125268
1267241
2763201
33434198
45002198

prune77.0ms

Filtered
53 candidates to 42 candidates (20.8%)
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New47653
Fresh31619
Picked101
Done011
Total512374

Merged error: 9.3b

Counts
74 → 23

regimes644.0ms

Accuracy

0% (0.2b remaining)

Error of 8.8b against oracle of 8.6b and baseline of 8.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0178
1178

end0.0ms

sample3.4s

Algorithm
intervals
Results
1.6s551×body2560valid
889.0ms1602×body1280valid
284.0ms1043×body640valid
228.0ms4517×body80valid
85.0ms484×body320valid
27.0ms235×body160valid
1.0ms3×body5120exit

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