Details

Time bar (total: 8.2s)

sample149.0ms

Algorithm
intervals
Results
74.0ms29×body2560valid
37.0ms64×body1280valid
10.0ms31×body640valid
7.0ms131×body80valid
3.0ms16×body320valid
1.0msbody160valid

simplify73.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01014
11814
23814
37314
410914
513014
613714
done13714

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.1b

Counts
2 → 1

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.5b
(/ 1.0 (* F F))
2.6b
(* (/ 1.0 (* F F)) (tan (* PI l)))
32.4b
(tan (* PI l))

rewrite26.0ms

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*
pow1
times-frac
associate-*r* prod-exp cbrt-unprod
cbrt-undiv div-exp add-log-exp
tan-quot associate-/l* unswap-sqr
pow-prod-down *-commutative div-inv
frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r*
Counts
4 → 77
Calls
4 calls:
4.0ms
(* PI l)
5.0ms
(/ 1.0 (* F F))
11.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series52.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
26.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
20.0ms
(tan (* PI l))

simplify509.0ms

Counts
89 → 89
Iterations

Useful iterations: done (506.0ms)

IterNodesCost
0135872
1330864
21321742
done5000722

prune173.0ms

Filtered
62 candidates to 89 candidates (-43.5%)
Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New761389
Fresh000
Picked101
Done000
Total771390

Merged error: 15.5b

Counts
90 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (* 1.0 (tan (* PI l))) F)
0.3b
(* PI l)
0.3b
(* PI l)
32.4b
(tan (* PI l))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
pow1
associate-*r* associate-*l*
add-log-exp
times-frac prod-exp associate-/r* cbrt-unprod
tan-quot cbrt-undiv div-exp pow-prod-down *-commutative unswap-sqr
frac-2neg associate-*r/ clear-num div-inv associate-/l/ associate-/l*
Counts
4 → 66
Calls
4 calls:
6.0ms
(/ (* 1.0 (tan (* PI l))) F)
4.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series34.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ (* 1.0 (tan (* PI l))) F)
3.0ms
(* PI l)
3.0ms
(* PI l)
9.0ms
(tan (* PI l))

simplify881.0ms

Counts
78 → 78
Iterations

Useful iterations: 3 (313.0ms)

IterNodesCost
0112620
1261608
2877531
33482523
done5000523

prune152.0ms

Filtered
54 candidates to 78 candidates (-44.4%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New70878
Fresh21012
Picked101
Done000
Total731891

Merged error: 15.4b

Counts
91 → 18

localize15.0ms

Local error

Found 4 expressions with local error:

0.3b
(* PI l)
0.3b
(* PI l)
31.9b
(cos (* PI l))
32.2b
(sin (* PI l))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
associate-*r* associate-*l*
add-log-exp
pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 50
Calls
4 calls:
6.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(cos (* PI l))
2.0ms
(sin (* PI l))

series11.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* PI l)
3.0ms
(* PI l)
2.0ms
(cos (* PI l))
3.0ms
(sin (* PI l))

simplify661.0ms

Counts
62 → 62
Iterations

Useful iterations: 3 (167.0ms)

IterNodesCost
074366
1158358
2502320
31881318
done5000318

prune143.0ms

Filtered
42 candidates to 62 candidates (-47.6%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New58462
Fresh61117
Picked101
Done000
Total651580

Merged error: 9.2b

Counts
80 → 15

localize20.0ms

Local error

Found 4 expressions with local error:

1.0b
(cbrt PI)
1.0b
(cbrt PI)
31.8b
(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
32.2b
(sin (* PI l))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log add-cbrt-cube add-log-exp
pow1/3
Counts
4 → 36
Calls
4 calls:
2.0ms
(cbrt PI)
2.0ms
(cbrt PI)
4.0ms
(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
2.0ms
(sin (* PI l))

series6.0ms

Counts
4 → 8
Calls
4 calls:
0.0ms
(cbrt PI)
0.0ms
(cbrt PI)
3.0ms
(cos (* (* (cbrt PI) (cbrt PI)) (* (cbrt PI) l)))
3.0ms
(sin (* PI l))

simplify506.0ms

Counts
44 → 44
Iterations

Useful iterations: 3 (113.0ms)

IterNodesCost
063336
1128334
2364264
31387234
done5001234

prune62.0ms

Filtered
34 candidates to 44 candidates (-29.4%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New43144
Fresh01414
Picked011
Done000
Total431659

Merged error: 9.2b

Counts
59 → 16

regimes709.0ms

Accuracy

84.7% (0.7b remaining)

Error of 8.5b against oracle of 7.7b and baseline of 12.6b

bsearch2.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04794
16194
done6194

end0.0ms

sample3.9s

Algorithm
intervals
Results
2.2s870×body2560valid
889.0ms1701×body1280valid
247.0ms924×body640valid
246.0ms4557×body80valid
71.0ms397×body320valid
26.0ms192×body160valid
1.0msbody5120exit

Profiling

Loading profile data...