Details

Time bar (total: 8.0s)

sample57.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
17.0ms253×body80nan

simplify738.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01928
14428
216128
378328
4348528
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))))

rewrite39.0ms

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)
9.0ms
(* (* 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))))

series75.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
22.0ms
(* (* 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))))

simplify1.2s

Counts
106 → 106
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02682389
18012264
243741951
done50001949

prune263.0ms

Filtered
83 candidates to 106 candidates (-27.7%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New979106
Fresh000
Picked101
Done000
Total989107

Merged error: 0.1b

Counts
107 → 9

localize17.0ms

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

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
39×add-exp-log add-cbrt-cube
19×pow1 prod-exp cbrt-unprod
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down
8×associate-*r/ associate-/r/
7×flip3-- flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×frac-times add-log-exp
3×times-frac associate-*r* *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 94
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
6.0ms
(* 5.0 (* v v))
7.0ms
(* t (* PI (sqrt 2.0)))
18.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* PI (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series60.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
3.0ms
(* 5.0 (* v v))
6.0ms
(* t (* PI (sqrt 2.0)))
47.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* t (* PI (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify979.0ms

Counts
106 → 106
Iterations

Useful iterations: 2 (264.0ms)

IterNodesCost
02642332
18232198
243781866
done50001866

prune257.0ms

Filtered
81 candidates to 106 candidates (-30.9%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New1051106
Fresh178
Picked011
Done000
Total1069115

Merged error: 0.1b

Counts
115 → 9

localize18.0ms

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)))))))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
13×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down
4×sqrt-div add-log-exp
3×cbrt-undiv flip3-- times-frac div-exp *-commutative flip-- associate-/l*
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* sqrt-prod div-inv
Counts
4 → 86
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
4.0ms
(* PI t)
9.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
13.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* PI t)
25.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
37.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify750.0ms

Counts
98 → 98
Iterations

Useful iterations: done (747.0ms)

IterNodesCost
02311791
16631707
232971477
done50011454

prune191.0ms

Filtered
69 candidates to 98 candidates (-42.0%)
Pruning

9 alts after pruning (7 fresh and 2 done)

PrunedKeptTotal
New97198
Fresh167
Picked011
Done011
Total989107

Merged error: 0.1b

Counts
107 → 9

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
16×add-sqr-sqrt times-frac
13×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv div-exp
11×pow1
10×prod-exp cbrt-unprod associate-/l*
8×associate-*l/ associate-/r/
7×flip3-- flip--
6×sqrt-div associate-*l*
4×frac-times associate-*r* pow-prod-down div-inv add-log-exp
3×div-sub associate-/l/
2×frac-2neg associate-*r/ clear-num associate-/r* *-commutative unswap-sqr
Counts
4 → 108
Calls
4 calls:
6.0ms
(* 5.0 (* v v))
4.0ms
(* PI t)
7.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
20.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)) (- (* 1.0 1.0) (pow v 4))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
2.0ms
(* PI t)
11.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* PI t))
38.0ms
(/ (/ (- 1.0 (* 5.0 (* v v))) (* PI t)) (* (sqrt (* (- (* 1.0 1.0) (* (pow v 4) (* 3.0 3.0))) 2.0)) (- (* 1.0 1.0) (pow v 4))))

simplify785.0ms

Counts
120 → 120
Iterations

Useful iterations: done (780.0ms)

IterNodesCost
02573136
17383003
234132508
done50012464

prune356.0ms

Filtered
83 candidates to 120 candidates (-44.6%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1173120
Fresh516
Picked011
Done112
Total1236129

Merged error: 0b

Counts
129 → 6

regimes306.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02949
13849
done3849

end0.0ms

sample1.6s

Algorithm
intervals
Results
568.0ms8000×body80valid
562.0ms8227×body80nan

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