Details

Time bar (total: 3.3s)

sample46.0ms

Algorithm
intervals
Results
10.0ms286×body80valid
9.0ms276×body80nan

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: 23.1b

Counts
2 → 1

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
7.4b
(/ A (* V l))
17.5b
(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))))
7.0ms
(/ 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

prune146.0ms

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: 5.6b

Counts
76 → 17

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.4b
(* (/ 1 V) (/ A l))
17.5b
(sqrt (* (/ 1 V) (/ A l)))

rewrite28.0ms

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))))
12.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series33.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* 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 (40.0ms)

IterNodesCost
0428506
11894441
25001415

prune158.0ms

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

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New965101
Fresh61016
Picked101
Done000
Total10315118

Merged error: 3.2b

Counts
118 → 15

localize10.0ms

Local error

Found 4 expressions with local error:

3.4b
(* (/ 1 V) (/ A l))
3.4b
(* (/ 1 V) (/ A l))
17.5b
(sqrt (* (/ 1 V) (/ A l)))
17.5b
(sqrt (* (/ 1 V) (/ A l)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
66×add-sqr-sqrt
50×times-frac
48×add-exp-log
36×*-un-lft-identity
32×add-cube-cbrt
28×add-cbrt-cube
26×associate-*r* associate-*l*
16×div-exp prod-exp
14×pow1
12×unswap-sqr
8×cbrt-undiv cbrt-unprod
6×sqrt-div
4×frac-times rec-exp sqrt-pow1 1-exp associate-*r/ pow-prod-down associate-*l/ div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 140
Calls
4 calls:
10.0ms
(* (/ 1 V) (/ A l))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series38.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ 1 V) (/ A l))
5.0ms
(* (/ 1 V) (/ A l))
13.0ms
(sqrt (* (/ 1 V) (/ A l)))
16.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify44.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0364728
11601622
25001570

prune263.0ms

Filtered
108 candidates to 152 candidates (-40.7%)
Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New1520152
Fresh01414
Picked011
Done000
Total15215167

Merged error: 3.2b

Counts
167 → 15

localize6.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ (/ A V) l)))
4.1b
(/ (/ A V) l)
17.5b
(sqrt (/ (/ A V) l))

rewrite35.0ms

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

series30.0ms

Counts
3 → 9
Calls
3 calls:
17.0ms
(* c0 (sqrt (/ (/ A V) l)))
5.0ms
(/ (/ A V) l)
9.0ms
(sqrt (/ (/ A V) l))

simplify54.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
05811400
120221326
250011290

prune202.0ms

Filtered
165 candidates to 200 candidates (-21.2%)
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New18812200
Fresh8513
Picked011
Done011
Total19619215

Merged error: 0.0b

Counts
215 → 19

regimes656.0ms

Accuracy

0% (1.1b 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
01514
11514

end0.0ms

sample1.4s

Algorithm
intervals
Results
321.0ms8930×body80valid
309.0ms9029×body80nan

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