Details

Time bar (total: 3.3s)

analyze658.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%93.6%6.4%7
3.1%84.2%12.7%8
12.5%67.1%20.5%9
16%63.5%20.5%10
17.9%57.7%24.4%11
22.6%48.7%28.7%12
28.7%37.8%33.6%13
30.4%35.9%33.7%14

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
6.0ms100×body80nan
1.0ms24×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0148
1148

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (sqrt (/ A (* V l))))
5.3b
(/ A (* V l))
15.9b
(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*r* add-cbrt-cube
9×times-frac
6×pow1
3×associate-*l* div-inv associate-/l* add-log-exp
2×cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
8.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

simplify73.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (67.0ms)

IterNodesCost
05085561

prune149.0ms

Filtered
57 candidates to 75 candidates (-31.6%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New591675
Fresh000
Picked101
Done000
Total601676

Merged error: 4.2b

Counts
76 → 16

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
0.7b
(* c0 (sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))))
4.5b
(* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))
15.9b
(sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l)))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
27×add-exp-log
26×associate-*r*
22×add-sqr-sqrt
20×add-cube-cbrt *-un-lft-identity
18×times-frac add-cbrt-cube
17×pow1
12×cbrt-prod associate-*r/
11×prod-exp cbrt-unprod
7×pow-prod-down
6×sqrt-div
5×cbrt-undiv div-exp
4×associate-*l* add-log-exp
3×frac-times sqrt-pow1 associate-*l/
2×sqrt-prod *-commutative
1×pow1/2 pow1/3 div-inv unswap-sqr
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt A)
13.0ms
(* c0 (sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))))
12.0ms
(* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))
9.0ms
(sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l)))

series60.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt A)
17.0ms
(* c0 (sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))))
9.0ms
(* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))
13.0ms
(sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l)))

simplify67.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
04922827
14922827

prune142.0ms

Filtered
66 candidates to 108 candidates (-63.6%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1044108
Fresh31215
Picked101
Done000
Total10816124

Merged error: 2.7b

Counts
124 → 16

localize7.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (sqrt (/ (/ A V) l)))
5.3b
(/ (/ A V) l)
15.9b
(sqrt (/ (/ A V) l))

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
213×times-frac
134×add-sqr-sqrt
117×add-cube-cbrt *-un-lft-identity
89×sqrt-prod
46×associate-*r*
13×div-inv associate-/l*
10×add-exp-log add-cbrt-cube
6×pow1
4×unswap-sqr
3×cbrt-undiv rem-sqrt-square div-exp associate-*l* associate-/r* add-log-exp
2×sqrt-div
1×frac-2neg sqrt-pow1 pow1/2 associate-*r/ pow-prod-down prod-exp clear-num *-commutative cbrt-unprod associate-/l/
Counts
3 → 191
Calls
3 calls:
16.0ms
(* c0 (sqrt (/ (/ A V) l)))
6.0ms
(/ (/ A V) l)
7.0ms
(sqrt (/ (/ A V) l))

series31.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* c0 (sqrt (/ (/ A V) l)))
5.0ms
(/ (/ A V) l)
9.0ms
(sqrt (/ (/ A V) l))

simplify81.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
050102192

prune285.0ms

Filtered
163 candidates to 200 candidates (-22.7%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New19010200
Fresh7815
Picked011
Done000
Total19719216

Merged error: 0.0b

Counts
216 → 19

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt l)
0.6b
(cbrt l)
0.6b
(cbrt A)
0.6b
(cbrt A)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt l)
1.0ms
(cbrt l)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series91.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(cbrt l)
24.0ms
(cbrt l)
22.0ms
(cbrt A)
22.0ms
(cbrt A)

simplify41.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05228200

prune61.0ms

Filtered
40 candidates to 56 candidates (-40.0%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New53356
Fresh21517
Picked101
Done011
Total561975

Merged error: 0.0b

Counts
75 → 19

regimes678.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.1b and baseline of 1.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02230
12230

end0.0ms

sample698.0ms

Algorithm
intervals
Results
279.0ms8000×body80valid
99.0ms3102×body80nan
34.0ms862×body80invalid

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