Details

Time bar (total: 3.1s)

sample44.0ms

Algorithm
intervals
Results
16.0ms256×body80valid
11.0ms181×body80nan

simplify77.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04414
116514
282614
3386714
4500214

prune6.0ms

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: 0.4b

Counts
2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* 3.0 (* 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))))
0.3b
(* PI t)
0.5b
(* (* PI t) (sqrt (* 2.0 (- 1.0 (* 3.0 (* 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))
14.0ms
(/ (- 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))))))

series68.0ms

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

simplify104.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07701153
143251002
250021002

prune205.0ms

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

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite41.0ms

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))
14.0ms
(/ (- 1.0 (* 5.0 (* v v))) (* (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))) (- 1.0 (* v v))))
10.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series84.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 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))))
20.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
18.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify105.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
07951295
142451138
250011138

prune205.0ms

Filtered
108 candidates to 76 candidates (29.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1071108
Fresh268
Picked101
Done000
Total1107117

Merged error: 0.1b

Counts
117 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log add-cbrt-cube
16×pow1 associate-*r/
15×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity
10×prod-exp cbrt-unprod
9×associate-*l*
8×sqrt-div
7×pow-prod-down sqrt-prod
6×times-frac associate-*r* associate-/l*
4×flip3-- flip-- add-log-exp
3×cbrt-undiv div-exp *-commutative
2×associate-/r/ associate-/l/ unswap-sqr
1×frac-2neg clear-num associate-/r* div-inv
Counts
4 → 93
Calls
4 calls:
5.0ms
(* 3.0 (* v v))
11.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 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))))))

series72.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 3.0 (* v v))
29.0ms
(/ (sqrt (- 1.0 (* 5.0 (* v v)))) (* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))))
20.0ms
(* PI (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
20.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify67.0ms

Algorithm
egg-herbie
Counts
105 → 105
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
05651077
12509970
25001969

prune233.0ms

Filtered
105 candidates to 72 candidates (31.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1032105
Fresh246
Picked011
Done000
Total1057112

Merged error: 0.0b

Counts
112 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
58×times-frac
38×add-sqr-sqrt
34×add-cube-cbrt *-un-lft-identity
28×add-exp-log add-cbrt-cube
22×associate-/l*
19×sqrt-prod
16×pow1
9×associate-*l* prod-exp cbrt-unprod
8×associate-*r/
7×pow-prod-down
6×cbrt-undiv div-exp associate-*r*
4×sqrt-div add-log-exp
3×*-commutative div-inv unswap-sqr
2×flip3-- associate-/r/ flip--
1×frac-2neg clear-num associate-/r* associate-/l/
Counts
4 → 125
Calls
4 calls:
5.0ms
(* 5.0 (* v v))
5.0ms
(* 3.0 (* v v))
12.0ms
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
7.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

series55.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(* 5.0 (* v v))
3.0ms
(* 3.0 (* v v))
29.0ms
(/ (/ (sqrt (- 1.0 (* 5.0 (* v v)))) PI) (* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v)))))))
20.0ms
(* t (sqrt (* 2.0 (- 1.0 (* 3.0 (* v v))))))

simplify71.0ms

Algorithm
egg-herbie
Counts
137 → 137
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06711488
128511365
250021362

prune277.0ms

Filtered
137 candidates to 91 candidates (33.6%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1343137
Fresh415
Picked011
Done101
Total1395144

Merged error: 0b

Counts
144 → 5

regimes136.0ms

Accuracy

0% (0.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02520
12520

end0.0ms

sample1.1s

Algorithm
intervals
Results
516.0ms8000×body80valid
292.0ms4718×body80nan

Profiling

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