Details

Time bar (total: 7.8s)

sample468.0ms

Algorithm
intervals
Results
114.0ms34×body2560valid
33.0ms55×body1280valid
9.0ms31×body640valid
9.0ms143×body80valid
2.0ms11×body320valid
1.0ms6×body160valid

simplify17.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0187
1397
2767
31147
41377
51447
61447

prune23.0ms

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: 19.7b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.4b
(/ 1.0 (* F F))
5.1b
(* (/ 1.0 (* F F)) (tan (* PI l)))
31.9b
(tan (* PI l))

rewrite22.0ms

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))
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)))
19.0ms
(tan (* PI l))

simplify42.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune399.0ms

Filtered
89 candidates to 61 candidates (31.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 14.6b

Counts
90 → 13

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)))
31.9b
(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))

series34.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
2.0ms
(* PI l)
21.0ms
(* (/ 1.0 F) (tan (* PI l)))
9.0ms
(tan (* PI l))

simplify86.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune495.0ms

Filtered
90 candidates to 64 candidates (28.9%)
Pruning

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New781290
Fresh5712
Picked101
Done000
Total8419103

Merged error: 14.4b

Counts
103 → 19

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (tan (* PI l)) F)
0.3b
(* PI l)
0.3b
(* PI l)
31.9b
(tan (* PI l))

rewrite14.0ms

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))

series29.0ms

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))

simplify61.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0203349
1665322
22201322
35001322

prune493.0ms

Filtered
84 candidates to 60 candidates (28.6%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New81384
Fresh31518
Picked011
Done000
Total8419103

Merged error: 14.4b

Counts
103 → 19

localize14.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt PI) (* (sqrt PI) l))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
32.1b
(tan (* (sqrt PI) (* (sqrt PI) l)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×add-exp-log sqrt-prod add-cbrt-cube
8×add-cube-cbrt *-un-lft-identity
6×associate-*l*
4×add-log-exp
3×pow-prod-down prod-exp cbrt-unprod
2×rem-sqrt-square sqrt-pow1 pow1/2
1×tan-quot associate-*r* *-commutative
Counts
4 → 55
Calls
4 calls:
6.0ms
(* (sqrt PI) (* (sqrt PI) l))
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)
3.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

series11.0ms

Counts
4 → 8
Calls
4 calls:
2.0ms
(* (sqrt PI) (* (sqrt PI) l))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
9.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify154.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0150236
1482202
21448202
34933202
45002202

prune341.0ms

Filtered
63 candidates to 45 candidates (28.6%)
Pruning

23 alts after pruning (21 fresh and 2 done)

PrunedKeptTotal
New58563
Fresh11617
Picked011
Done011
Total592382

Merged error: 14.4b

Counts
82 → 23

regimes729.0ms

Accuracy

0% (0.3b remaining)

Error of 12.8b against oracle of 12.6b and baseline of 12.8b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0178
1178

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.4s826×body2560valid
939.0ms1661×body1280valid
256.0ms979×body640valid
210.0ms4483×body80valid
65.0ms398×body320valid
23.0ms204×body160valid
1.0ms3×body5120exit

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