Details

Time bar (total: 7.2s)

sample426.0ms

Algorithm
intervals
Results
73.0ms22×body2560valid
33.0ms60×body1280valid
9.0ms156×body80valid
5.0ms18×body640valid
2.0ms11×body320valid
1.0ms1×body5120exit
1.0ms6×body160valid

simplify19.0ms

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: 14.9b

Counts
2 → 1

localize39.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.9b
(/ 1.0 (* F F))
5.1b
(* (/ 1.0 (* F F)) (tan (* PI l)))
27.2b
(tan (* PI l))

rewrite25.0ms

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))

series260.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* PI l)
25.0ms
(/ 1.0 (* F F))
132.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
79.0ms
(tan (* PI l))

simplify44.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 9.5b

Counts
90 → 12

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)))
27.2b
(tan (* PI l))

rewrite22.0ms

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))

series233.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* PI l)
20.0ms
(* PI l)
131.0ms
(* (/ 1.0 F) (tan (* PI l)))
62.0ms
(tan (* PI l))

simplify89.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune232.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New791190
Fresh2911
Picked101
Done000
Total8220102

Merged error: 9.4b

Counts
102 → 20

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
0.3b
(* PI l)
0.3b
(* PI l)
27.2b
(tan (* PI l))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
47×add-exp-log
29×add-cbrt-cube
22×prod-exp
19×add-sqr-sqrt associate-*l*
15×add-cube-cbrt *-un-lft-identity
13×pow1
12×cbrt-unprod
10×div-exp
9×times-frac
7×associate-*r*
5×cbrt-undiv pow-prod-down
4×add-log-exp
3×rec-exp 1-exp associate-*r/ *-commutative
2×unswap-sqr
1×tan-quot frac-times associate-*l/ div-inv
Counts
4 → 89
Calls
4 calls:
10.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
4.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series277.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(* (/ 1 F) (* 1.0 (/ (tan (* PI l)) F)))
19.0ms
(* PI l)
20.0ms
(* PI l)
67.0ms
(tan (* PI l))

simplify59.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (52.0ms)

IterNodesCost
0406553
12199441
25002434

prune213.0ms

Filtered
101 candidates to 61 candidates (60.4%)
Pruning

20 alts after pruning (20 fresh and 0 done)

PrunedKeptTotal
New983101
Fresh21719
Picked101
Done000
Total10120121

Merged error: 9.4b

Counts
121 → 20

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
27.2b
(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)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series217.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(/ (tan (* PI l)) F)
25.0ms
(* PI l)
20.0ms
(* PI l)
68.0ms
(tan (* PI l))

simplify68.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune173.0ms

Filtered
84 candidates to 60 candidates (71.4%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New77784
Fresh71219
Picked101
Done000
Total8519104

Merged error: 9.4b

Counts
104 → 19

regimes349.0ms

Accuracy

0% (0.3b remaining)

Error of 12.3b against oracle of 12.0b and baseline of 12.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0168
1168

end0.0ms

sample4.1s

Algorithm
intervals
Results
2.4s815×body2560valid
957.0ms1693×body1280valid
241.0ms922×body640valid
218.0ms4593×body80valid
63.0ms380×body320valid
24.0ms214×body160valid
2.0ms5×body5120exit

Profiling

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