Details

Time bar (total: 5.0s)

sample49.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
16.0ms266×body80nan

simplify71.0ms

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))
0.3b
(* 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))))

rewrite36.0ms

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))))))
17.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

series65.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
2.0ms
(* PI t)
22.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
38.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))

simplify102.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07701153
143251002
250021002

prune226.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New9412106
Fresh000
Picked101
Done000
Total9512107

Merged error: 0.3b

Counts
107 → 12

localize14.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* v v))
0.4b
(* 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))))

rewrite40.0ms

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:
6.0ms
(* 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))))))
16.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

series83.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
20.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
21.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
39.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))

simplify102.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07951295
142451138
250011138

prune215.0ms

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

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1053108
Fresh2911
Picked011
Done000
Total10713120

Merged error: 0.3b

Counts
120 → 13

localize16.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1
15×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×prod-exp cbrt-unprod
8×associate-*r/ associate-*r*
7×associate-*l* pow-prod-down sqrt-prod
6×times-frac sqrt-div associate-/l*
4×add-log-exp
3×cbrt-undiv flip3-- div-exp *-commutative flip--
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 91
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
5.0ms
(* PI t)
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
11.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series53.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
2.0ms
(* PI t)
19.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
28.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify64.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0551931
12690830
25002829

prune216.0ms

Filtered
67 candidates to 103 candidates (-53.7%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1012103
Fresh7411
Picked101
Done011
Total1097116

Merged error: 0.0b

Counts
116 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
234×times-frac
175×add-sqr-sqrt
129×add-cube-cbrt *-un-lft-identity
79×sqrt-prod
46×associate-*l*
43×associate-*r*
37×add-exp-log add-cbrt-cube
30×cbrt-prod
22×associate-/l*
13×cbrt-undiv div-exp unswap-sqr
11×pow1 div-inv
9×prod-exp cbrt-unprod
7×associate-/r*
6×sqrt-div
5×associate-*r/
4×pow-prod-down associate-/r/ add-log-exp
3×flip3-- flip-- associate-/l/
2×cbrt-div frac-2neg clear-num *-commutative
1×frac-times sqrt-undiv associate-*l/
Counts
4 → 276
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
42.0ms
(* (/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
6.0ms
(/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t)
10.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series164.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
109.0ms
(* (/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t) (/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
17.0ms
(/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t)
34.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify84.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 1 (34.0ms)

IterNodesCost
017835780
150015445

prune1.7s

Filtered
223 candidates to 288 candidates (-29.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2862288
Fresh325
Picked101
Done011
Total2905295

Merged error: 0b

Counts
295 → 5

regimes207.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03027
13027

end0.0ms

sample1.4s

Algorithm
intervals
Results
528.0ms8001×body80valid
474.0ms7764×body80nan

Profiling

Loading profile data...