Details

Time bar (total: 6.5s)

sample341.0ms

Algorithm
intervals
Results
82.0ms27×body2560valid
33.0ms55×body1280valid
7.0ms27×body640valid
7.0ms143×body80valid
5.0ms19×body320valid
1.0ms11×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 17.3b

Counts
2 → 1

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.8b
(/ 1.0 (* F F))
4.3b
(* (/ 1.0 (* F F)) (tan (* PI l)))
32.6b
(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)
5.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series46.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
23.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
18.0ms
(tan (* PI l))

simplify52.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0323443
11416374
25001374

prune158.0ms

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: 12.7b

Counts
90 → 14

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
32.6b
(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)
4.0ms
(* 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))

simplify84.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune175.0ms

Filtered
90 candidates to 64 candidates (28.9%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New771390
Fresh5813
Picked101
Done000
Total8321104

Merged error: 12.6b

Counts
104 → 21

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
32.6b
(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:
5.0ms
(/ (tan (* PI l)) F)
3.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series28.0ms

Counts
4 → 12
Calls
4 calls:
16.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
8.0ms
(tan (* PI l))

simplify63.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune140.0ms

Filtered
84 candidates to 60 candidates (28.6%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh31720
Picked011
Done000
Total8421105

Merged error: 12.6b

Counts
105 → 21

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (/ 1.0 F))
0.6b
(cbrt (/ 1.0 F))
0.6b
(cbrt (/ 1.0 F))
32.6b
(tan (* PI l))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
39×cbrt-prod
27×times-frac
25×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log add-cbrt-cube add-log-exp
3×cbrt-div pow1/3 div-inv
1×tan-quot
Counts
4 → 74
Calls
4 calls:
2.0ms
(cbrt (/ 1.0 F))
2.0ms
(cbrt (/ 1.0 F))
2.0ms
(cbrt (/ 1.0 F))
2.0ms
(tan (* PI l))

series82.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt (/ 1.0 F))
26.0ms
(cbrt (/ 1.0 F))
25.0ms
(cbrt (/ 1.0 F))
8.0ms
(tan (* PI l))

simplify115.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (31.0ms)

IterNodesCost
0175487
1372467
21033449
33567422
45002422

prune165.0ms

Filtered
86 candidates to 69 candidates (19.8%)
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New84286
Fresh01919
Picked011
Done011
Total8423107

Merged error: 12.6b

Counts
107 → 23

regimes618.0ms

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
0178
1178

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.4s823×body2560valid
936.0ms1652×body1280valid
263.0ms955×body640valid
220.0ms4525×body80valid
70.0ms412×body320valid
25.0ms217×body160valid
4.0ms9×body5120exit

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