Details

Time bar (total: 8.7s)

sample53.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
17.0ms253×body80nan

simplify761.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
378328
4347228
done500028

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.5b

Counts
2 → 1

localize16.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.4b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log add-cbrt-cube
18×associate-*r/
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity
8×flip3-- sqrt-div associate-*r* associate-/r/ flip--
7×associate-*l* pow-prod-down
4×cbrt-undiv frac-times div-exp add-log-exp
3×times-frac *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 94
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
4.0ms
(* PI t)
14.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
17.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series79.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
26.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
47.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify929.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (288.0ms)

IterNodesCost
02682389
18012250
241071918
done50001918

prune231.0ms

Filtered
72 candidates to 106 candidates (-47.2%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New988106
Fresh000
Picked101
Done000
Total998107

Merged error: 0.2b

Counts
107 → 8

localize24.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.2b
(* t (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0))))
0.4b
(/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* t (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
40×add-exp-log add-cbrt-cube
31×add-sqr-sqrt
23×add-cube-cbrt *-un-lft-identity
19×pow1
18×associate-/l*
15×prod-exp cbrt-unprod
9×cbrt-undiv div-exp associate-*l* pow-prod-down
8×associate-*r/
6×associate-/r/ difference-of-squares
4×flip3-- sqrt-div associate-*l/ flip-- add-log-exp
3×associate-*r* *-commutative div-inv
2×div-sub unswap-sqr
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 121
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
9.0ms
(* 5.0 (* v v))
11.0ms
(* t (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0))))
19.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* t (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))))

series70.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
3.0ms
(* 5.0 (* v v))
25.0ms
(* t (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0))))
39.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* t (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))))

simplify772.0ms

Counts
133 → 133
Iterations

Useful iterations: 2 (284.0ms)

IterNodesCost
03133796
18703584
234983108
done50003108

prune393.0ms

Filtered
95 candidates to 133 candidates (-40.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1303133
Fresh617
Picked011
Done000
Total1365141

Merged error: 0.0b

Counts
141 → 5

localize27.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))
0.2b
(* 5.0 (* v v))
0.3b
(* (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* v v))) (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))))

rewrite67.0ms

Algorithm
rewrite-expression-head
Rules
74×times-frac
60×add-exp-log add-cbrt-cube
53×add-sqr-sqrt
39×associate-*r*
36×add-cube-cbrt *-un-lft-identity
31×associate-*l*
23×prod-exp cbrt-unprod
22×sqrt-prod
21×pow1
17×cbrt-undiv div-exp
10×pow-prod-down
6×difference-of-squares unswap-sqr
4×associate-/r/ *-commutative add-log-exp
3×associate-*r/ associate-*l/ div-inv
2×flip3-- sqrt-div flip--
1×frac-times
Counts
4 → 150
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
6.0ms
(* 5.0 (* v v))
6.0ms
(* 5.0 (* v v))
40.0ms
(* (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* v v))) (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
3.0ms
(* 5.0 (* v v))
4.0ms
(* 5.0 (* v v))
43.0ms
(* (/ (sqrt (- 1.0 (* 5.0 (* v v)))) t) (/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) (- 1.0 (* v v))) (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))))

simplify1.1s

Counts
162 → 162
Iterations

Useful iterations: 2 (560.0ms)

IterNodesCost
03415276
110354540
244623678
done50003678

prune511.0ms

Filtered
104 candidates to 162 candidates (-55.8%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New1611162
Fresh213
Picked011
Done011
Total1634167

Merged error: 0b

Counts
167 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))) t)
0.1b
(* (pow v 4) (* 3.0 3.0))
0.2b
(* 3.0 (* v v))
0.2b
(* 5.0 (* v v))

rewrite55.0ms

Algorithm
rewrite-expression-head
Rules
192×times-frac
85×add-sqr-sqrt
69×add-cube-cbrt *-un-lft-identity
45×add-exp-log
37×add-cbrt-cube
24×associate-/l*
17×prod-exp
16×associate-/r/
14×pow1
13×associate-*l*
12×difference-of-squares
11×cbrt-undiv div-exp cbrt-unprod
9×div-inv
8×flip3-- sqrt-div associate-*r/ associate-*l/ flip--
6×pow-prod-down
5×unswap-sqr
4×unpow-prod-down add-log-exp
3×div-sub associate-*r* associate-/r* *-commutative
2×pow-to-exp pow-exp sqr-pow
1×frac-2neg clear-num associate-/l/
Counts
4 → 186
Calls
4 calls:
24.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))) t)
8.0ms
(* (pow v 4) (* 3.0 3.0))
6.0ms
(* 3.0 (* v v))
6.0ms
(* 5.0 (* v v))

series50.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(/ (/ (/ (- 1.0 (* 5.0 (* v v))) (- 1.0 (* v v))) (* PI (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)))) t)
4.0ms
(* (pow v 4) (* 3.0 3.0))
3.0ms
(* 3.0 (* v v))
3.0ms
(* 5.0 (* v v))

simplify955.0ms

Counts
198 → 198
Iterations

Useful iterations: 2 (406.0ms)

IterNodesCost
04906631
112476343
248645919
done50005919

prune696.0ms

Filtered
153 candidates to 198 candidates (-29.4%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1980198
Fresh011
Picked011
Done022
Total1984202

Merged error: 0b

Counts
202 → 4

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02741
13441
done3441

end0.0ms

sample1.6s

Algorithm
intervals
Results
580.0ms8000×body80valid
568.0ms8227×body80nan

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