Details

Time bar (total: 5.1s)

sample48.0ms

Algorithm
intervals
Results
16.0ms266×body80nan
16.0ms256×body80valid

simplify71.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune3.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.3b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 5.0 (* v v))
0.2b
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
0.2b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* 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
(* 5.0 (* 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))))
3.0ms
(* PI t)
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series67.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
42.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))) (- 1.0 (* v v))))
2.0ms
(* PI t)
20.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify108.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07721158
143501002
250031002

prune202.0ms

Filtered
106 candidates to 72 candidates (32.1%)
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
(* 5.0 (* v v))
0.2b
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
0.2b
(* PI t)
0.5b
(* (* 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:
6.0ms
(* 5.0 (* v v))
11.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
3.0ms
(* PI t)
8.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series54.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
30.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
2.0ms
(* PI t)
19.0ms
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify66.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
0553936
12719830
25002829

prune204.0ms

Filtered
103 candidates to 67 candidates (35.0%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1003103
Fresh628
Picked011
Done000
Total1066112

Merged error: 0.0b

Counts
112 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

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

rewrite78.0ms

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
(* 5.0 (* v v))
6.0ms
(/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t)
43.0ms
(* (/ (/ (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)))))))
10.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series162.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
13.0ms
(/ (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) t)
108.0ms
(* (/ (/ (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)))))))
38.0ms
(/ (sqrt (cbrt (- 1.0 (* 5.0 (* v v))))) (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify86.0ms

Algorithm
egg-herbie
Counts
288 → 288
Iterations

Useful iterations: 1 (35.0ms)

IterNodesCost
017835785
150015445

prune1.5s

Filtered
288 candidates to 223 candidates (22.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New2871288
Fresh044
Picked011
Done011
Total2877294

Merged error: 0b

Counts
294 → 7

localize24.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
37×add-exp-log add-cbrt-cube
16×pow1
14×prod-exp cbrt-unprod
12×add-sqr-sqrt
10×associate-*r/
9×associate-*l*
8×cbrt-undiv add-cube-cbrt *-un-lft-identity sqrt-div div-exp
7×pow-prod-down
6×associate-*r*
5×associate-/l/
4×cbrt-div flip3-- flip-- add-log-exp
3×*-commutative unswap-sqr
2×frac-times associate-/r/
1×frac-2neg times-frac associate-*l/ clear-num associate-/r* sqrt-prod div-inv associate-/l*
Counts
4 → 91
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
5.0ms
(* 5.0 (* v v))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
14.0ms
(/ (* (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) (sqrt (cbrt (- 1.0 (* 5.0 (* v v)))))) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

series136.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* 5.0 (* v v))
19.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))
111.0ms
(/ (* (/ (fabs (cbrt (- 1.0 (* 5.0 (* v v))))) PI) (sqrt (cbrt (- 1.0 (* 5.0 (* v v)))))) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))

simplify107.0ms

Algorithm
egg-herbie
Counts
103 → 103
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07901378
145131147
250021147

prune270.0ms

Filtered
103 candidates to 65 candidates (36.9%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New1030103
Fresh044
Picked011
Done022
Total1037110

Merged error: 0b

Counts
110 → 7

regimes338.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03027
13027

end0.0ms

sample1.4s

Algorithm
intervals
Results
502.0ms8000×body80valid
485.0ms7948×body80nan

Profiling

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