Details

Time bar (total: 5.2s)

analyze1.1s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 39.181431%

Guaranteed chance to sample good point: 55.56891%

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
2.0ms62×body80nan
1.0ms28×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune7.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.8b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ A (* V l))))
4.9b
(/ A (* V l))
14.3b
(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)))

simplify60.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0214321
1808296
23059293
35001293

prune129.0ms

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

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New621375
Fresh000
Picked011
Done000
Total621476

Merged error: 5.5b

Counts
76 → 14

localize11.0ms

Local error

Found 4 expressions with local error:

4.9b
(/ A (* V l))
4.9b
(/ A (* V l))
14.3b
(sqrt (/ A (* V l)))
14.3b
(sqrt (/ A (* V l)))

rewrite18.0ms

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

series27.0ms

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

simplify44.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0136338
1441304
21804304
35002304

prune138.0ms

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

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New87390
Fresh11112
Picked101
Done011
Total8915104

Merged error: 5.5b

Counts
104 → 15

localize18.0ms

Local error

Found 4 expressions with local error:

14.3b
(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
17.5b
(cbrt (/ A (* V l)))
17.5b
(cbrt (/ A (* V l)))
17.5b
(cbrt (/ A (* V l)))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
24×pow1
21×cbrt-prod
15×cbrt-div sqrt-pow1
12×pow1/3
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac pow-prod-up
7×sqrt-div
6×pow-plus
5×frac-times pow-prod-down associate-*l/
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-*r/ pow-sqr div-inv
2×pow2
1×pow1/2 pow3 sqrt-prod
Counts
4 → 79
Calls
4 calls:
12.0ms
(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
3.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
12.0ms
(sqrt (* (* (cbrt (/ A (* V l))) (cbrt (/ A (* V l)))) (cbrt (/ A (* V l)))))
22.0ms
(cbrt (/ A (* V l)))
19.0ms
(cbrt (/ A (* V l)))
19.0ms
(cbrt (/ A (* V l)))

simplify75.0ms

Algorithm
egg-herbie
Counts
91 → 91
Iterations

Useful iterations: 3 (67.0ms)

IterNodesCost
0202586
1477545
22157513
35002481

prune137.0ms

Filtered
62 candidates to 91 candidates (-46.8%)
Pruning

13 alts after pruning (11 fresh and 2 done)

PrunedKeptTotal
New90191
Fresh31013
Picked011
Done011
Total9313106

Merged error: 5.5b

Counts
106 → 13

localize20.0ms

Local error

Found 4 expressions with local error:

6.3b
(sqrt (* (* (cbrt A) (cbrt (/ A (* V l)))) (cbrt A)))
12.9b
(cbrt (* V l))
14.3b
(sqrt (/ A (* V l)))
17.5b
(cbrt (/ A (* V l)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
9×add-sqr-sqrt
8×cbrt-prod add-cube-cbrt *-un-lft-identity sqrt-prod
6×times-frac
5×sqrt-pow1 pow1/3 pow-prod-down
4×add-exp-log add-cbrt-cube add-log-exp
2×cbrt-div pow1/2 sqrt-div div-inv
1×rem-sqrt-square associate-*r/ associate-*l/
Counts
4 → 57
Calls
4 calls:
7.0ms
(sqrt (* (* (cbrt A) (cbrt (/ A (* V l)))) (cbrt A)))
2.0ms
(cbrt (* V l))
5.0ms
(sqrt (/ A (* V l)))
4.0ms
(cbrt (/ A (* V l)))

series72.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(sqrt (* (* (cbrt A) (cbrt (/ A (* V l)))) (cbrt A)))
13.0ms
(cbrt (* V l))
9.0ms
(sqrt (/ A (* V l)))
19.0ms
(cbrt (/ A (* V l)))

simplify94.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 3 (88.0ms)

IterNodesCost
0329468
1917434
24082397
35001376

prune97.0ms

Filtered
55 candidates to 69 candidates (-25.5%)
Pruning

14 alts after pruning (11 fresh and 3 done)

PrunedKeptTotal
New68169
Fresh01010
Picked011
Done022
Total681482

Merged error: 5.5b

Counts
82 → 14

regimes1.2s

Accuracy

47.6% (6.6b remaining)

Error of 12.8b against oracle of 6.2b and baseline of 18.8b

bsearch2.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03821
13821

end0.0ms

analyze1.1s

Algorithm
search
sampling

Space saved by range analysis: 0.195169%

Space saved by search: 39.181431%

Guaranteed chance to sample good point: 55.56891%

sample681.0ms

Algorithm
intervals
Results
292.0ms8000×body80valid
79.0ms2108×body80nan
32.0ms788×body80invalid

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