Details

Time bar (total: 3.2s)

analyze101.0ms

Algorithm
search

sample26.0ms

Algorithm
intervals
Results
18.0ms256×body80valid

simplify73.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.6b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.4b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

rewrite34.0ms

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:
5.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series69.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
2.0ms
(* PI t)
21.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
43.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify110.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07701153
143251002
250021002

prune207.0ms

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

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New9610106
Fresh000
Picked101
Done000
Total9710107

Merged error: 0.3b

Counts
107 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.2b
(* PI t)
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
0.5b
(* (* PI t) (sqrt 2.0))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log add-cbrt-cube
17×prod-exp cbrt-unprod
16×pow1
14×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
10×associate-*r*
8×associate-*r/ associate-/r/
7×flip3-- associate-*l* pow-prod-down flip--
6×sqrt-div
5×cbrt-undiv div-exp
4×frac-times add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×associate-*l/ associate-/l/ unswap-sqr
1×frac-2neg div-sub clear-num associate-/r* div-inv
Counts
4 → 96
Calls
4 calls:
6.0ms
(* 3.0 (* v v))
3.0ms
(* PI t)
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
6.0ms
(* (* PI t) (sqrt 2.0))

series57.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
2.0ms
(* PI t)
45.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* PI t) (sqrt 2.0)) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))
6.0ms
(* (* PI t) (sqrt 2.0))

simplify108.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 2 (97.0ms)

IterNodesCost
07941122
14454959
25002957

prune187.0ms

Filtered
67 candidates to 108 candidates (-61.2%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New1062108
Fresh279
Picked011
Done000
Total10810118

Merged error: 0.3b

Counts
118 → 10

localize18.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.3b
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.4b
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

rewrite38.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log associate-*r/ add-cbrt-cube
16×pow1
13×add-sqr-sqrt prod-exp cbrt-unprod
10×add-cube-cbrt *-un-lft-identity sqrt-div
9×flip3-- associate-*l* flip--
8×associate-/r/
7×pow-prod-down
6×associate-*r*
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 → 96
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
8.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
15.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series87.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
21.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
19.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
44.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify104.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07951295
142451138
250011138

prune201.0ms

Filtered
76 candidates to 108 candidates (-42.1%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1071108
Fresh178
Picked011
Done011
Total10810118

Merged error: 0.3b

Counts
118 → 10

localize19.0ms

Local error

Found 4 expressions with local error:

0.2b
(* PI t)
0.3b
(* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
0.3b
(* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
0.5b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
78×add-exp-log
56×add-cbrt-cube
48×prod-exp cbrt-unprod
36×pow1
22×pow-prod-down
13×add-sqr-sqrt associate-*r*
11×add-cube-cbrt *-un-lft-identity
8×cbrt-undiv associate-*r/ div-exp associate-/r/
7×flip3-- flip--
6×cbrt-prod sqrt-div
5×associate-*l*
4×frac-times add-log-exp
3×times-frac sqrt-prod *-commutative associate-/l*
2×associate-*l/ associate-/l/
1×frac-2neg div-sub clear-num associate-/r* div-inv unswap-sqr
Counts
4 → 117
Calls
4 calls:
3.0ms
(* PI t)
10.0ms
(* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
16.0ms
(* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
26.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

series88.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(* PI t)
38.0ms
(* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0))))
6.0ms
(* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0)))
42.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* (* (* PI t) (* (cbrt (sqrt 2.0)) (cbrt (sqrt 2.0)))) (cbrt (sqrt 2.0))) (sqrt (- 1.0 (* 3.0 (* v v))))) (- 1.0 (* v v))))

simplify42.0ms

Algorithm
egg-herbie
Counts
129 → 129
Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
09482164
150011597

prune276.0ms

Filtered
77 candidates to 129 candidates (-67.5%)
Pruning

12 alts after pruning (9 fresh and 3 done)

PrunedKeptTotal
New1272129
Fresh077
Picked011
Done022
Total12712139

Merged error: 0.3b

Counts
139 → 12

regimes450.0ms

Accuracy

0% (0.3b remaining)

Error of 0.5b against oracle of 0.2b and baseline of 0.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615
12615

end0.0ms

analyze101.0ms

Algorithm
search

sample650.0ms

Algorithm
intervals
Results
513.0ms8000×body80valid
1.0ms10×body80nan
0.0ms2×body80invalid

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