Details

Time bar (total: 11.4s)

sample157.0ms

Algorithm
intervals
Results
70.0ms29×body2560valid
35.0ms64×body1280valid
24.0ms31×body640valid
7.0ms131×body80valid
3.0ms16×body320valid
1.0ms5×body160valid

simplify96.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
01014
11814
23814
37314
410914
513014
613714
done13714

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.1b

Counts
2 → 1

localize16.0ms

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))

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:
4.0ms
(* PI l)
5.0ms
(/ 1.0 (* F F))
10.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
3.0ms
(tan (* PI l))

series50.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI l)
3.0ms
(/ 1.0 (* F F))
25.0ms
(* (/ 1.0 (* F F)) (tan (* PI l)))
19.0ms
(tan (* PI l))

simplify986.0ms

Counts
89 → 89
Iterations

Useful iterations: 2 (137.0ms)

IterNodesCost
0135872
1318854
21189722
done5001722

prune167.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New771289
Fresh000
Picked101
Done000
Total781290

Merged error: 15.5b

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)))
32.4b
(tan (* PI l))

rewrite21.0ms

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:
4.0ms
(* PI l)
4.0ms
(* PI l)
8.0ms
(* (/ 1.0 F) (tan (* PI l)))
2.0ms
(tan (* PI l))

series39.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* PI l)
3.0ms
(* PI l)
22.0ms
(* (/ 1.0 F) (tan (* PI l)))
9.0ms
(tan (* PI l))

simplify1.6s

Counts
90 → 90
Iterations

Useful iterations: 2 (102.0ms)

IterNodesCost
0125736
1279717
2836639
32687639
done5000639

prune176.0ms

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

19 alts after pruning (19 fresh and 0 done)

PrunedKeptTotal
New81990
Fresh11011
Picked101
Done000
Total8319102

Merged error: 15.4b

Counts
102 → 19

localize14.0ms

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))

rewrite17.0ms

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:
5.0ms
(/ (tan (* PI l)) F)
4.0ms
(* PI l)
4.0ms
(* PI l)
2.0ms
(tan (* PI l))

series31.0ms

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))

simplify1.6s

Counts
84 → 84
Iterations

Useful iterations: 2 (67.0ms)

IterNodesCost
0106669
1205646
2534594
31605594
done5001594

prune142.0ms

Filtered
59 candidates to 84 candidates (-42.4%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New84084
Fresh01818
Picked011
Done000
Total8419103

Merged error: 15.4b

Counts
103 → 19

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* PI l))
0.6b
(cbrt (* PI l))
0.6b
(cbrt (* PI l))
32.5b
(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×cbrt-prod pow1/3
1×tan-quot
Counts
4 → 35
Calls
4 calls:
3.0ms
(cbrt (* PI l))
3.0ms
(cbrt (* PI l))
3.0ms
(cbrt (* PI l))
4.0ms
(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

series90.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(cbrt (* PI l))
25.0ms
(cbrt (* PI l))
26.0ms
(cbrt (* PI l))
14.0ms
(tan (* (* (cbrt (* PI l)) (cbrt (* PI l))) (cbrt (* PI l))))

simplify1.5s

Counts
47 → 47
Iterations

Useful iterations: 4 (492.0ms)

IterNodesCost
059486
1119483
2246346
3639298
42135271
done5001271

prune64.0ms

Filtered
36 candidates to 47 candidates (-30.6%)
Pruning

21 alts after pruning (19 fresh and 2 done)

PrunedKeptTotal
New44347
Fresh11617
Picked011
Done011
Total452166

Merged error: 15.4b

Counts
66 → 21

regimes622.0ms

Accuracy

0% (0.3b remaining)

Error of 12.6b against oracle of 12.3b and baseline of 12.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01216
11716
done1716

end0.0ms

sample3.8s

Algorithm
intervals
Results
2.1s870×body2560valid
857.0ms1701×body1280valid
241.0ms924×body640valid
236.0ms4557×body80valid
70.0ms397×body320valid
25.0ms192×body160valid
1.0ms3×body5120exit

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