Details

Time bar (total: 8.1s)

analyze898.0ms

Algorithm
search

sample143.0ms

Algorithm
intervals
Results
74.0ms25×body2560valid
39.0ms62×body1280valid
9.0ms31×body640valid
6.0ms116×body80valid
3.0ms17×body320valid
1.0ms5×body160valid
0.0ms8×body80invalid

simplify360.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.0b

Counts
2 → 1

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.9b
(/ 1.0 (* F F))
4.2b
(* (/ 1.0 (* F F)) (tan (* PI l)))
32.4b
(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 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:
4.0ms
(* PI l)
4.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series47.0ms

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)))
18.0ms
(tan (* PI l))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0323443
11416374
25001374

prune181.0ms

Filtered
61 candidates to 89 candidates (-45.9%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590

Merged error: 13.5b

Counts
90 → 15

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)))
32.4b
(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))

series35.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
22.0ms
(* (/ 1.0 F) (tan (* PI l)))
8.0ms
(tan (* PI l))

simplify83.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune195.0ms

Filtered
64 candidates to 90 candidates (-40.6%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New761490
Fresh5914
Picked101
Done000
Total8223105

Merged error: 13.4b

Counts
105 → 23

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
32.4b
(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:
4.0ms
(/ (tan (* PI l)) F)
3.0ms
(* PI l)
3.0ms
(* PI l)
2.0ms
(tan (* PI l))

series30.0ms

Counts
4 → 12
Calls
4 calls:
17.0ms
(/ (tan (* PI l)) F)
2.0ms
(* PI l)
2.0ms
(* PI l)
9.0ms
(tan (* PI l))

simplify64.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune158.0ms

Filtered
60 candidates to 84 candidates (-40.0%)
Pruning

21 alts after pruning (21 fresh and 0 done)

PrunedKeptTotal
New82284
Fresh31922
Picked101
Done000
Total8621107

Merged error: 13.4b

Counts
107 → 21

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
0.6b
(/ 1 (/ F (tan (* PI l))))
32.4b
(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×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))

series34.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
20.0ms
(/ 1 (/ F (tan (* PI l))))
9.0ms
(tan (* PI l))

simplify49.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 2 (36.0ms)

IterNodesCost
0421876
11678779
25001691

prune101.0ms

Filtered
73 candidates to 136 candidates (-86.3%)
Pruning

21 alts after pruning (20 fresh and 1 done)

PrunedKeptTotal
New1360136
Fresh02020
Picked011
Done000
Total13621157

Merged error: 13.4b

Counts
157 → 21

regimes633.0ms

Accuracy

0% (0.3b remaining)

Error of 12.7b against oracle of 12.4b and baseline of 12.7b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0189
1189

end0.0ms

analyze700.0ms

Algorithm
search

sample4.2s

Algorithm
intervals
Results
2.5s827×body2560valid
981.0ms1646×body1280valid
264.0ms958×body640valid
209.0ms3960×body80valid
71.0ms403×body320valid
24.0ms206×body160valid
10.0ms187×body80invalid
7.0ms3×body2560invalid
3.0ms6×body5120exit
2.0ms4×body1280invalid

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