Details

Time bar (total: 16.1s)

sample6.3s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 39.0625%

Guaranteed chance to sample good point: 55.56891%

Results
10.0ms256×body80valid
2.0ms69×body80nan
1.0ms40×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: 22.1b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.6b
(* c0 (sqrt (/ A (* V l))))
8.5b
(/ A (* V l))
16.0b
(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)))

series29.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
11.0ms
(sqrt (/ A (* V l)))

simplify59.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (19.0ms)

IterNodesCost
0214321
1808296
23059293
35001293

prune133.0ms

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

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New611475
Fresh000
Picked101
Done000
Total621476

Merged error: 4.7b

Counts
76 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

0.6b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.2b
(* (/ 1 V) (/ A l))
16.0b
(sqrt (* (/ 1 V) (/ A l)))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
27×add-exp-log
25×times-frac
21×*-un-lft-identity
19×add-cube-cbrt
17×associate-*r* add-cbrt-cube
16×associate-*l*
10×pow1
9×prod-exp
8×div-exp
7×unswap-sqr
6×sqrt-div associate-*r/
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 92
Calls
3 calls:
8.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series32.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.0ms
(* (/ 1 V) (/ A l))
13.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0428506
11894441
25001415

prune157.0ms

Filtered
67 candidates to 101 candidates (-50.7%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New956101
Fresh4913
Picked011
Done000
Total9916115

Merged error: 3.9b

Counts
115 → 16

localize7.0ms

Local error

Found 3 expressions with local error:

0.6b
(* c0 (sqrt (/ (/ A l) V)))
4.9b
(/ (/ A l) V)
16.0b
(sqrt (/ (/ A l) V))

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 l) V)))
6.0ms
(/ (/ A l) V)
6.0ms
(sqrt (/ (/ A l) V))

series30.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* c0 (sqrt (/ (/ A l) V)))
5.0ms
(/ (/ A l) V)
9.0ms
(sqrt (/ (/ A l) V))

simplify55.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
05811400
120401326
250021290

prune274.0ms

Filtered
164 candidates to 200 candidates (-22.0%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1919200
Fresh5914
Picked101
Done011
Total19719216

Merged error: 0.0b

Counts
216 → 19

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite5.0ms

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)

series86.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt l)
23.0ms
(cbrt l)
21.0ms
(cbrt A)
21.0ms
(cbrt A)

simplify170.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (34.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44618128
55001128

prune66.0ms

Filtered
44 candidates to 56 candidates (-27.3%)
Pruning

20 alts after pruning (19 fresh and 1 done)

PrunedKeptTotal
New54256
Fresh01717
Picked101
Done011
Total552075

Merged error: 0.0b

Counts
75 → 20

regimes1.0s

Accuracy

0% (1.1b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 1.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02220
12220

end0.0ms

sample7.5s

Algorithm
intervals
sampling

Space saved by range analysis: 0%

Space saved by search: 39.0625%

Guaranteed chance to sample good point: 55.56891%

Results
305.0ms8000×body80valid
78.0ms2000×body80nan
30.0ms801×body80invalid

Profiling

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