Details

Time bar (total: 4.3s)

sample38.0ms

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

prune3.0ms

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×expm1-log1p-u associate-*l* log1p-expm1-u 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 → 72
Calls
3 calls:
8.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify72.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune215.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New661581
Fresh000
Picked101
Done000
Total671582

Merged error: 6.6b

Counts
82 → 15

localize11.0ms

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)))

rewrite230.0ms

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×expm1-log1p-u log1p-expm1-u 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 → 114
Calls
4 calls:
1.0ms
(cbrt A)
11.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
13.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
8.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
189.0ms
(cbrt A)
66.0ms
(* c0 (sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))))
45.0ms
(* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l))
50.0ms
(sqrt (* (/ (* (cbrt A) (cbrt A)) V) (/ (cbrt A) l)))

simplify64.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
05181059
12563904
25001844

prune337.0ms

Filtered
126 candidates to 96 candidates (76.2%)
Pruning

17 alts after pruning (16 fresh and 1 done)

PrunedKeptTotal
New1224126
Fresh21214
Picked011
Done000
Total12417141

Merged error: 4.4b

Counts
141 → 17

localize9.0ms

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)))

rewrite29.0ms

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×expm1-log1p-u frac-times pow-prod-down associate-*l/ un-div-inv log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 101
Calls
3 calls:
9.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
11.0ms
(* (/ A V) (/ 1 l))
5.0ms
(sqrt (* (/ A V) (/ 1 l)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
20.0ms
(* (/ A V) (/ 1 l))
36.0ms
(sqrt (* (/ A V) (/ 1 l)))

simplify53.0ms

Algorithm
egg-herbie
Counts
110 → 110
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0440542
11884482
25001443

prune249.0ms

Filtered
110 candidates to 77 candidates (70.0%)
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New1064110
Fresh21315
Picked011
Done011
Total10819127

Merged error: 4.3b

Counts
127 → 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)))

rewrite22.0ms

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 expm1-log1p-u div-exp log1p-expm1-u 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 → 86
Calls
4 calls:
8.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))
4.0ms
(sqrt (/ A (* V l)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))
31.0ms
(sqrt (/ A (* V l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0135366
1444332
21805332
35001332

prune260.0ms

Filtered
98 candidates to 76 candidates (77.6%)
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New98098
Fresh01616
Picked011
Done022
Total9819117

Merged error: 4.3b

Counts
117 → 19

regimes788.0ms

Accuracy

31.8% (9.4b remaining)

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

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03022
13022

end0.0ms

sample1.1s

Algorithm
intervals
Results
345.0ms8878×body80valid
322.0ms8874×body80nan