Details

Time bar (total: 3.9s)

sample36.0ms

Algorithm
intervals
Results
10.0ms284×body80valid
9.0ms275×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: 19.5b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (/ A (* V l))))
6.0b
(/ A (* V l))
13.0b
(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:
7.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series99.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
35.0ms
(sqrt (/ A (* V l)))

simplify69.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune207.0ms

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: 7.5b

Counts
82 → 15

localize8.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
6.5b
(* (/ 1 V) (/ A l))
13.0b
(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×expm1-log1p-u frac-times pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 98
Calls
3 calls:
8.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series127.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
18.0ms
(* (/ 1 V) (/ A l))
55.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify49.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0424535
11846470
25001444

prune218.0ms

Filtered
107 candidates to 73 candidates (68.2%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1025107
Fresh6814
Picked011
Done000
Total10814122

Merged error: 5.3b

Counts
122 → 14

localize10.0ms

Local error

Found 4 expressions with local error:

6.5b
(* (/ 1 V) (/ A l))
6.5b
(* (/ 1 V) (/ A l))
13.0b
(sqrt (* (/ 1 V) (/ A l)))
13.0b
(sqrt (* (/ 1 V) (/ A l)))

rewrite40.0ms

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×expm1-log1p-u frac-times rec-exp sqrt-pow1 1-exp associate-*r/ pow-prod-down associate-*l/ log1p-expm1-u div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 148
Calls
4 calls:
10.0ms
(* (/ 1 V) (/ A l))
10.0ms
(* (/ 1 V) (/ A l))
9.0ms
(sqrt (* (/ 1 V) (/ A l)))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(* (/ 1 V) (/ A l))
20.0ms
(* (/ 1 V) (/ A l))
51.0ms
(sqrt (* (/ 1 V) (/ A l)))
56.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0357762
11561656
25001604

prune620.0ms

Filtered
160 candidates to 114 candidates (71.3%)
Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New1600160
Fresh01212
Picked011
Done011
Total16014174

Merged error: 5.3b

Counts
174 → 14

localize7.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (/ (/ A V) l)))
7.0b
(/ (/ A V) l)
13.0b
(sqrt (/ (/ A V) l))

rewrite42.0ms

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 expm1-log1p-u rem-sqrt-square div-exp associate-*l* associate-/r* log1p-expm1-u 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 → 197
Calls
3 calls:
16.0ms
(* c0 (sqrt (/ (/ A V) l)))
6.0ms
(/ (/ A V) l)
10.0ms
(sqrt (/ (/ A V) l))

series99.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ (/ A V) l)))
23.0ms
(/ (/ A V) l)
31.0ms
(sqrt (/ (/ A V) l))

simplify56.0ms

Algorithm
egg-herbie
Counts
206 → 206
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
05841424
120141350
250011314

prune489.0ms

Filtered
206 candidates to 171 candidates (83.0%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New19313206
Fresh7411
Picked101
Done112
Total20218220

Merged error: 0.1b

Counts
220 → 18

regimes421.0ms

Accuracy

0% (1.0b 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

sample1.1s

Algorithm
intervals
Results
322.0ms8898×body80valid
313.0ms8811×body80nan

Profiling

Loading profile data...