Details

Time bar (total: 7.9s)

sample393.0ms

Algorithm
intervals
Results
83.0ms28×body2560valid
27.0ms49×body1280valid
12.0ms41×body640valid
6.0ms135×body80valid
3.0ms9×body320valid
1.0ms8×body160valid

simplify18.0ms

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 (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.1b

Counts
2 → 1

localize12.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.3b
(/ 1.0 (* F F))
5.4b
(* (/ 1.0 (* F F)) (tan (* PI l)))
31.6b
(tan (* PI l))

rewrite40.0ms

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)
21.0ms
(/ 1.0 (* F F))
9.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series266.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* PI l)
26.0ms
(/ 1.0 (* F F))
144.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
75.0ms
(tan (* PI l))

simplify44.0ms

Algorithm
egg-herbie
Counts
89 → 89
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0323443
11416374
25001374

prune341.0ms

Filtered
89 candidates to 61 candidates (68.5%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New741589
Fresh000
Picked101
Done000
Total751590

Merged error: 12.7b

Counts
90 → 15

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI l)
0.2b
(* PI l)
0.3b
(* (/ 1.0 F) (tan (* PI l)))
31.6b
(tan (* PI l))

rewrite19.0ms

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:
5.0ms
(* PI l)
3.0ms
(* PI l)
7.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series236.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* PI l)
21.0ms
(* PI l)
130.0ms
(* (/ 1.0 F) (tan (* PI l)))
64.0ms
(tan (* PI l))

simplify84.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
0277382
11009342
23834341
35001341

prune378.0ms

Filtered
90 candidates to 64 candidates (71.1%)
Pruning

23 alts after pruning (23 fresh and 0 done)

PrunedKeptTotal
New761490
Fresh5914
Picked101
Done000
Total8223105

Merged error: 12.6b

Counts
105 → 23

localize17.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (sqrt PI) (* (sqrt PI) l))
1.0b
(sqrt PI)
1.0b
(sqrt PI)
31.4b
(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)
1.0ms
(sqrt PI)
3.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

series92.0ms

Counts
4 → 8
Calls
4 calls:
26.0ms
(* (sqrt PI) (* (sqrt PI) l))
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
66.0ms
(tan (* (sqrt PI) (* (sqrt PI) l)))

simplify152.0ms

Algorithm
egg-herbie
Counts
63 → 63
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0150236
1482202
21448202
34933202
45002202

prune310.0ms

Filtered
63 candidates to 46 candidates (73.0%)
Pruning

26 alts after pruning (25 fresh and 1 done)

PrunedKeptTotal
New57663
Fresh31922
Picked011
Done000
Total602686

Merged error: 12.6b

Counts
86 → 26

localize17.0ms

Local error

Found 4 expressions with local error:

1.0b
(sqrt PI)
1.0b
(sqrt PI)
1.0b
(sqrt PI)
31.4b
(tan (* (sqrt PI) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) l)))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×sqrt-prod
7×pow1 add-cube-cbrt *-un-lft-identity
4×add-exp-log add-cbrt-cube add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
1×tan-quot
Counts
4 → 47
Calls
4 calls:
1.0ms
(sqrt PI)
2.0ms
(sqrt PI)
2.0ms
(sqrt PI)
3.0ms
(tan (* (sqrt PI) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) l)))

series73.0ms

Counts
4 → 6
Calls
4 calls:
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
0.0ms
(sqrt PI)
73.0ms
(tan (* (sqrt PI) (* (* (sqrt (sqrt PI)) (sqrt (sqrt PI))) l)))

simplify38.0ms

Algorithm
egg-herbie
Counts
53 → 53
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
089218
1241199
2868199
35001199

prune211.0ms

Filtered
53 candidates to 42 candidates (79.2%)
Pruning

27 alts after pruning (25 fresh and 2 done)

PrunedKeptTotal
New52153
Fresh02424
Picked011
Done011
Total522779

Merged error: 12.6b

Counts
79 → 27

regimes915.0ms

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
02415
12415

end0.0ms

sample4.2s

Algorithm
intervals
Results
2.4s799×body2560valid
938.0ms1652×body1280valid
263.0ms978×body640valid
221.0ms4594×body80valid
63.0ms379×body320valid
23.0ms200×body160valid
1.0ms3×body5120exit

Profiling

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