Details

Time bar (total: 3.9s)

sample56.0ms

Algorithm
intervals
Results
11.0ms337×body80nan
11.0ms287×body80valid

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: 21.4b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

2.3b
(* c0 (sqrt (/ A (* V l))))
3.7b
(/ A (* V l))
17.9b
(sqrt (/ A (* V l)))

rewrite17.0ms

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
times-frac
pow1
associate-*l* div-inv associate-/l* add-log-exp
cbrt-undiv sqrt-div div-exp prod-exp cbrt-unprod unswap-sqr
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))
4.0ms
(sqrt (/ A (* V l)))

series30.0ms

Counts
3 → 9
Calls
3 calls:
16.0ms
(* 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

prune144.0ms

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: 9.0b

Counts
76 → 14

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
2.3b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
3.1b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.9b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
28×times-frac
27×add-exp-log
26×associate-*r*
22×add-cube-cbrt *-un-lft-identity
20×add-cbrt-cube
14×cbrt-prod
11×pow1
10×associate-*l*
prod-exp cbrt-unprod
cbrt-undiv div-exp unswap-sqr
sqrt-div associate-*r/
add-log-exp
frac-times pow-prod-down associate-*l/
sqrt-pow1 sqrt-prod *-commutative div-inv
pow1/2 pow1/3
Counts
4 → 106
Calls
4 calls:
2.0ms
(cbrt A)
15.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
19.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
10.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series69.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt A)
18.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
12.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
17.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify62.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
05331013
12463903
25001830

prune174.0ms

Filtered
86 candidates to 118 candidates (-37.2%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1153118
Fresh01313
Picked011
Done000
Total11517132

Merged error: 5.1b

Counts
132 → 17

localize7.0ms

Local error

Found 3 expressions with local error:

2.3b
(* c0 (sqrt (/ (/ A V) l)))
3.9b
(/ (/ A V) l)
17.9b
(sqrt (/ (/ A V) l))

rewrite41.0ms

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
pow1
unswap-sqr
cbrt-undiv rem-sqrt-square div-exp associate-*l* associate-/r* add-log-exp
sqrt-div
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:
15.0ms
(* c0 (sqrt (/ (/ A V) l)))
6.0ms
(/ (/ A V) l)
9.0ms
(sqrt (/ (/ A V) l))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (/ (/ A V) l)))
5.0ms
(/ (/ A V) l)
9.0ms
(sqrt (/ (/ A V) l))

simplify59.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05811400
120221326
250011290

prune288.0ms

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

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New18713200
Fresh11415
Picked011
Done101
Total19918217

Merged error: 0.1b

Counts
217 → 18

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
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)

series90.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt l)
22.0ms
(cbrt l)
22.0ms
(cbrt A)
24.0ms
(cbrt A)

simplify177.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 4 (35.0ms)

IterNodesCost
0106204
1184188
2373148
31008144
44618128
55001128

prune70.0ms

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

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New52456
Fresh31316
Picked011
Done011
Total551974

Merged error: 0.0b

Counts
74 → 19

regimes982.0ms

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

sample1.5s

Algorithm
intervals
Results
336.0ms8922×body80valid
312.0ms8823×body80nan

Profiling

Loading profile data...