Details

Time bar (total: 3.9s)

analyze457.0ms

Algorithm
search

sample27.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
4.0ms111×body80nan
1.0ms26×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.6b
(* c0 (sqrt (/ A (* V l))))
4.2b
(/ A (* V l))
17.8b
(sqrt (/ A (* V l)))

rewrite19.0ms

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:
10.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series26.0ms

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

simplify60.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0214321
1808296
23059293
35001293

prune143.0ms

Filtered
55 candidates to 75 candidates (-36.4%)
Pruning

17 alts after pruning (17 fresh and 0 done)

PrunedKeptTotal
New581775
Fresh000
Picked101
Done000
Total591776

Merged error: 6.0b

Counts
76 → 17

localize11.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ A (* V l))
4.2b
(/ A (* V l))
17.8b
(sqrt (/ A (* V l)))
17.8b
(sqrt (/ A (* V l)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt sqrt-prod add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity times-frac
6×pow1 associate-/l*
4×cbrt-undiv div-exp div-inv add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 78
Calls
4 calls:
4.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))
4.0ms
(sqrt (/ A (* V l)))

series26.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ A (* V l))
5.0ms
(/ A (* V l))
8.0ms
(sqrt (/ A (* V l)))
9.0ms
(sqrt (/ A (* V l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0136338
1441304
21804304
35002304

prune148.0ms

Filtered
68 candidates to 90 candidates (-32.4%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New89190
Fresh01616
Picked011
Done000
Total8918107

Merged error: 6.0b

Counts
107 → 18

localize10.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ A (* V l))
4.2b
(/ A (* V l))
18.8b
(cbrt (/ A (* V l)))
18.8b
(cbrt (/ A (* V l)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log cbrt-prod add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
6×associate-/l*
4×pow1 cbrt-undiv div-exp div-inv add-log-exp
2×cbrt-div frac-2neg pow1/3 prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 74
Calls
4 calls:
4.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
3.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))

series48.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ A (* V l))
5.0ms
(/ A (* V l))
20.0ms
(cbrt (/ A (* V l)))
19.0ms
(cbrt (/ A (* V l)))

simplify51.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0193420
1591370
22522342
35001332

prune140.0ms

Filtered
64 candidates to 86 candidates (-34.4%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New84286
Fresh41216
Picked011
Done011
Total8816104

Merged error: 6.0b

Counts
104 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
4.2b
(/ A (* V l))
9.6b
(cbrt (* V l))
18.8b
(cbrt (/ A (* V l)))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod
9×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×times-frac
4×pow1 add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv div-exp div-inv
1×cbrt-div frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt A)
4.0ms
(/ A (* V l))
2.0ms
(cbrt (* V l))
3.0ms
(cbrt (/ A (* V l)))

series61.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(cbrt A)
5.0ms
(/ A (* V l))
13.0ms
(cbrt (* V l))
19.0ms
(cbrt (/ A (* V l)))

simplify58.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (53.0ms)

IterNodesCost
0270318
1764284
23011253
35001243

prune79.0ms

Filtered
52 candidates to 69 candidates (-32.7%)
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New67269
Fresh21113
Picked011
Done022
Total691685

Merged error: 3.3b

Counts
85 → 16

regimes1.3s

Accuracy

57.2% (6.0b remaining)

Error of 11.1b against oracle of 5.1b and baseline of 19.1b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
07361
17361

end0.0ms

analyze467.0ms

Algorithm
search

sample699.0ms

Algorithm
intervals
Results
290.0ms8000×body80valid
109.0ms3179×body80nan
31.0ms899×body80invalid

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