Details

Time bar (total: 3.5s)

analyze659.0ms

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

sample29.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
3.0ms95×body80nan
1.0ms27×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: 19.6b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.1b
(* c0 (sqrt (/ A (* V l))))
4.4b
(/ A (* V l))
17.1b
(sqrt (/ A (* V l)))

rewrite16.0ms

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:
7.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

simplify64.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05085561

prune141.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New611475
Fresh000
Picked101
Done000
Total621476

Merged error: 5.5b

Counts
76 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt A)
1.1b
(* c0 (sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))))
3.1b
(* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))
17.1b
(sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l)))

rewrite35.0ms

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)
11.0ms
(* c0 (sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))))
11.0ms
(* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))
8.0ms
(sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l)))

series59.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(cbrt A)
16.0ms
(* c0 (sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))))
9.0ms
(* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l))
14.0ms
(sqrt (* (* (cbrt A) (/ (cbrt A) V)) (/ (cbrt A) l)))

simplify57.0ms

Algorithm
egg-herbie
Counts
108 → 108
Iterations

Useful iterations: 0 (49.0ms)

IterNodesCost
04922827
14922827

prune136.0ms

Filtered
69 candidates to 108 candidates (-56.5%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1044108
Fresh31013
Picked011
Done000
Total10715122

Merged error: 3.9b

Counts
122 → 15

localize9.0ms

Local error

Found 3 expressions with local error:

1.1b
(* c0 (sqrt (/ (/ A V) l)))
4.3b
(/ (/ A V) l)
17.1b
(sqrt (/ (/ A V) l))

rewrite36.0ms

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:
14.0ms
(* c0 (sqrt (/ (/ A V) l)))
6.0ms
(/ (/ A V) l)
7.0ms
(sqrt (/ (/ A V) l))

series27.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* c0 (sqrt (/ (/ A V) l)))
5.0ms
(/ (/ A V) l)
9.0ms
(sqrt (/ (/ A V) l))

simplify75.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (56.0ms)

IterNodesCost
050102192

prune278.0ms

Filtered
166 candidates to 200 candidates (-20.5%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New18713200
Fresh8513
Picked011
Done101
Total19619215

Merged error: 0.0b

Counts
215 → 19

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt V)
0.6b
(cbrt V)
0.7b
(cbrt A)
0.7b
(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 V)
1.0ms
(cbrt V)
1.0ms
(cbrt A)
1.0ms
(cbrt A)

series87.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt V)
21.0ms
(cbrt V)
21.0ms
(cbrt A)
21.0ms
(cbrt A)

simplify37.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05228200

prune62.0ms

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

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New54256
Fresh31417
Picked011
Done011
Total571875

Merged error: 0.0b

Counts
75 → 18

regimes921.0ms

Accuracy

0% (1.0b remaining)

Error of 1.1b against oracle of 0.1b and baseline of 1.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01821
11821

end0.0ms

sample719.0ms

Algorithm
intervals
Results
297.0ms8000×body80valid
107.0ms3021×body80nan
33.0ms943×body80invalid

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