Details

Time bar (total: 4.3s)

sample38.0ms

Algorithm
intervals
Results
10.0ms298×body80nan
10.0ms285×body80valid

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: 17.1b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (/ A (* V l))))
4.6b
(/ A (* V l))
13.8b
(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)))

series97.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune197.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New651681
Fresh000
Picked101
Done000
Total661682

Merged error: 6.4b

Counts
82 → 16

localize8.0ms

Local error

Found 3 expressions with local error:

1.5b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.2b
(* (/ 1 V) (/ A l))
13.8b
(sqrt (* (/ 1 V) (/ A 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×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:
9.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
11.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series119.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
21.0ms
(* (/ 1 V) (/ A l))
50.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0424535
11846470
25001444

prune214.0ms

Filtered
107 candidates to 72 candidates (67.3%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1025107
Fresh31215
Picked011
Done000
Total10518123

Merged error: 5.0b

Counts
123 → 18

localize10.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (/ 1 V) (/ A l))
4.2b
(* (/ 1 V) (/ A l))
13.8b
(sqrt (* (/ 1 V) (/ A l)))
13.8b
(sqrt (* (/ 1 V) (/ A l)))

rewrite37.0ms

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))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series145.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(* (/ 1 V) (/ A l))
18.0ms
(* (/ 1 V) (/ A l))
54.0ms
(sqrt (* (/ 1 V) (/ A l)))
54.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0357762
11561656
25001604

prune424.0ms

Filtered
160 candidates to 114 candidates (71.3%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1591160
Fresh11516
Picked011
Done011
Total16018178

Merged error: 5.0b

Counts
178 → 18

localize15.0ms

Local error

Found 4 expressions with local error:

4.1b
(/ (/ A l) V)
4.2b
(* (/ 1 V) (/ A l))
13.8b
(sqrt (* (/ 1 V) (/ A l)))
13.8b
(sqrt (pow (/ (/ A l) V) 1))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
169×times-frac
120×add-sqr-sqrt
98×*-un-lft-identity
96×add-cube-cbrt
48×sqrt-prod
46×unpow-prod-down
31×add-exp-log
21×add-cbrt-cube
13×associate-*r* associate-*l* associate-/l*
11×div-exp div-inv
9×pow1
8×prod-exp
7×cbrt-undiv
6×unswap-sqr
5×rem-sqrt-square
4×expm1-log1p-u cbrt-unprod log1p-expm1-u add-log-exp
3×sqrt-pow1 sqrt-div associate-/r*
2×frac-times rec-exp pow1/2 1-exp associate-*r/ pow-prod-down associate-*l/ sqr-pow
1×frac-2neg clear-num *-commutative associate-/l/
Counts
4 → 209
Calls
4 calls:
6.0ms
(/ (/ A l) V)
10.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))
14.0ms
(sqrt (pow (/ (/ A l) V) 1))

series122.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (/ A l) V)
18.0ms
(* (/ 1 V) (/ A l))
55.0ms
(sqrt (* (/ 1 V) (/ A l)))
31.0ms
(sqrt (pow (/ (/ A l) V) 1))

simplify111.0ms

Algorithm
egg-herbie
Counts
221 → 221
Iterations

Useful iterations: 2 (90.0ms)

IterNodesCost
09421427
146911223
250011218

prune704.0ms

Filtered
221 candidates to 174 candidates (78.7%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2201221
Fresh21315
Picked101
Done022
Total22316239

Merged error: 5.0b

Counts
239 → 16

regimes665.0ms

Accuracy

48.5% (7.3b remaining)

Error of 11.6b against oracle of 4.3b and baseline of 18.5b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03929
13929

end0.0ms

sample1.1s

Algorithm
intervals
Results
325.0ms8914×body80valid
307.0ms8925×body80nan