Details

Time bar (total: 3.7s)

sample37.0ms

Algorithm
intervals
Results
10.0ms279×body80valid
10.0ms279×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.1b
(* c0 (sqrt (/ A (* V l))))
3.5b
(/ A (* V l))
16.2b
(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
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))
4.0ms
(sqrt (/ A (* V l)))

series96.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune187.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New601575
Fresh000
Picked101
Done000
Total611576

Merged error: 6.6b

Counts
76 → 15

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
1.1b
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
2.6b
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
16.2b
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

rewrite37.0ms

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*
9×prod-exp cbrt-unprod
7×cbrt-undiv div-exp unswap-sqr
6×sqrt-div associate-*r/
4×add-log-exp
3×frac-times pow-prod-down associate-*l/
2×sqrt-pow1 sqrt-prod *-commutative div-inv
1×pow1/2 pow1/3
Counts
4 → 106
Calls
4 calls:
1.0ms
(cbrt A)
11.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
14.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series334.0ms

Counts
4 → 12
Calls
4 calls:
169.0ms
(cbrt A)
68.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
41.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
56.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify63.0ms

Algorithm
egg-herbie
Counts
118 → 118
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05101001
12553846
25001786

prune290.0ms

Filtered
118 candidates to 88 candidates (74.6%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1144118
Fresh21214
Picked011
Done000
Total11617133

Merged error: 4.4b

Counts
133 → 17

localize8.0ms

Local error

Found 3 expressions with local error:

1.1b
(* c0 (sqrt (* (/ A V) (/ 1 l))))
4.4b
(* (/ A V) (/ 1 l))
16.2b
(sqrt (* (/ A V) (/ 1 l)))

rewrite30.0ms

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×sqrt-div div-exp
7×associate-*r/ unswap-sqr
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ un-div-inv add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 95
Calls
3 calls:
11.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
10.0ms
(* (/ A V) (/ 1 l))
5.0ms
(sqrt (* (/ A V) (/ 1 l)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
19.0ms
(* (/ A V) (/ 1 l))
30.0ms
(sqrt (* (/ A V) (/ 1 l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0434512
11878452
25001413

prune217.0ms

Filtered
104 candidates to 71 candidates (68.3%)
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1004104
Fresh21315
Picked011
Done011
Total10219121

Merged error: 4.3b

Counts
121 → 19

localize10.0ms

Local error

Found 4 expressions with local error:

3.5b
(/ A (* V l))
3.5b
(/ A (* V l))
16.2b
(sqrt (/ A (* V l)))
16.2b
(sqrt (/ A (* V l)))

rewrite19.0ms

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)))

series113.0ms

Counts
4 → 12
Calls
4 calls:
26.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))
36.0ms
(sqrt (/ A (* V l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0131338
1440304
21801304
35001304

prune207.0ms

Filtered
90 candidates to 68 candidates (75.6%)
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New90090
Fresh01616
Picked011
Done022
Total9019109

Merged error: 4.3b

Counts
109 → 19

regimes706.0ms

Accuracy

31.8% (9.4b remaining)

Error of 13.7b against oracle of 4.2b and baseline of 18.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03022
13022

end0.0ms

sample1.1s

Algorithm
intervals
Results
328.0ms8878×body80valid
312.0ms8874×body80nan