Details

Time bar (total: 4.9s)

analyze852.0ms

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

sample55.0ms

Algorithm
intervals
Results
18.0ms256×body80valid
5.0ms75×body80nan
2.0ms28×body80invalid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
01512
11512

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.3b

Counts
2 → 1

localize14.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ A (* V l))))
2.8b
(/ A (* V l))
14.2b
(sqrt (/ A (* V l)))

rewrite31.0ms

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

series34.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
14.0ms
(sqrt (/ A (* V l)))

simplify120.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (101.0ms)

IterNodesCost
05086854

prune213.0ms

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

12 alts after pruning (12 fresh and 0 done)

PrunedKeptTotal
New631275
Fresh000
Picked101
Done000
Total641276

Merged error: 7.5b

Counts
76 → 12

localize11.0ms

Local error

Found 4 expressions with local error:

2.9b
(sqrt (sqrt (/ A (* V l))))
2.9b
(sqrt (sqrt (/ A (* V l))))
14.2b
(sqrt (/ A (* V l)))
14.2b
(sqrt (/ A (* V l)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
50×sqrt-prod
20×add-sqr-sqrt
14×add-cube-cbrt *-un-lft-identity
12×times-frac
10×pow1 sqrt-pow1
6×rem-sqrt-square pow1/2 sqrt-div
4×add-exp-log add-cbrt-cube div-inv add-log-exp
Counts
4 → 84
Calls
4 calls:
7.0ms
(sqrt (sqrt (/ A (* V l))))
8.0ms
(sqrt (sqrt (/ A (* V l))))
7.0ms
(sqrt (/ A (* V l)))
4.0ms
(sqrt (/ A (* V l)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(sqrt (sqrt (/ A (* V l))))
51.0ms
(sqrt (sqrt (/ A (* V l))))
10.0ms
(sqrt (/ A (* V l)))
10.0ms
(sqrt (/ A (* V l)))

simplify75.0ms

Algorithm
egg-herbie
Counts
96 → 96
Iterations

Useful iterations: 0 (60.0ms)

IterNodesCost
049761172
149761172

prune155.0ms

Filtered
70 candidates to 96 candidates (-37.1%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New95196
Fresh01111
Picked011
Done000
Total9513108

Merged error: 7.5b

Counts
108 → 13

localize10.0ms

Local error

Found 4 expressions with local error:

2.8b
(/ A (* V l))
2.8b
(/ A (* V l))
17.6b
(cbrt (/ A (* V l)))
17.6b
(cbrt (/ A (* V l)))

rewrite17.0ms

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)))
4.0ms
(cbrt (/ A (* V l)))

series71.0ms

Counts
4 → 12
Calls
4 calls:
10.0ms
(/ A (* V l))
10.0ms
(/ A (* V l))
30.0ms
(cbrt (/ A (* V l)))
21.0ms
(cbrt (/ A (* V l)))

simplify103.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (75.0ms)

IterNodesCost
04958920
14958920

prune214.0ms

Filtered
62 candidates to 86 candidates (-38.7%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New85186
Fresh11011
Picked011
Done011
Total861399

Merged error: 7.5b

Counts
99 → 13

localize11.0ms

Local error

Found 4 expressions with local error:

0.8b
(* (* (cbrt c0) (cbrt c0)) (* (sqrt (/ A (* V l))) (cbrt c0)))
1.2b
(* (sqrt (/ A (* V l))) (cbrt c0))
2.8b
(/ A (* V l))
14.2b
(sqrt (/ A (* V l)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
22×add-sqr-sqrt
19×pow1
16×sqrt-prod add-cbrt-cube
13×add-cube-cbrt *-un-lft-identity
11×associate-*l*
10×prod-exp cbrt-unprod
9×times-frac pow-prod-down
7×associate-*r*
5×cbrt-prod
4×add-log-exp unswap-sqr
3×sqrt-div div-inv associate-/l*
2×cbrt-undiv div-exp associate-*l/ *-commutative
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 associate-*r/ clear-num associate-/r*
Counts
4 → 94
Calls
4 calls:
21.0ms
(* (* (cbrt c0) (cbrt c0)) (* (sqrt (/ A (* V l))) (cbrt c0)))
12.0ms
(* (sqrt (/ A (* V l))) (cbrt c0))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series71.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (* (cbrt c0) (cbrt c0)) (* (sqrt (/ A (* V l))) (cbrt c0)))
33.0ms
(* (sqrt (/ A (* V l))) (cbrt c0))
5.0ms
(/ A (* V l))
10.0ms
(sqrt (/ A (* V l)))

simplify108.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (85.0ms)

IterNodesCost
049881366
149881366

prune131.0ms

Filtered
71 candidates to 106 candidates (-49.3%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New1033106
Fresh1910
Picked011
Done022
Total10415119

Merged error: 7.5b

Counts
119 → 15

regimes1.4s

Accuracy

42.2% (7.5b remaining)

Error of 13.8b against oracle of 6.4b and baseline of 19.3b

bsearch1.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03589
13589

end0.0ms

sample1.0s

Algorithm
intervals
Results
440.0ms8000×body80valid
145.0ms2778×body80nan
47.0ms848×body80invalid

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