Details

Time bar (total: 4.2s)

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

localize9.0ms

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×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:
8.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series103.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify67.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (22.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune184.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New591675
Fresh000
Picked101
Done000
Total601676

Merged error: 6.4b

Counts
76 → 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)))

rewrite31.0ms

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×frac-times pow-prod-down associate-*l/ add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 92
Calls
3 calls:
12.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
19.0ms
(* (/ 1 V) (/ A l))
52.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify51.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
0418505
11840440
25001414

prune203.0ms

Filtered
101 candidates to 66 candidates (65.3%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New965101
Fresh31215
Picked011
Done000
Total9918117

Merged error: 5.0b

Counts
117 → 18

localize11.0ms

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)))

rewrite42.0ms

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×frac-times rec-exp sqrt-pow1 1-exp associate-*r/ pow-prod-down associate-*l/ div-inv add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 140
Calls
4 calls:
11.0ms
(* (/ 1 V) (/ A l))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
9.0ms
(sqrt (* (/ 1 V) (/ A l)))

series151.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(* (/ 1 V) (/ A l))
19.0ms
(* (/ 1 V) (/ A l))
51.0ms
(sqrt (* (/ 1 V) (/ A l)))
57.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (38.0ms)

IterNodesCost
0353726
11557620
25002568

prune415.0ms

Filtered
152 candidates to 106 candidates (69.7%)
Pruning

18 alts after pruning (16 fresh and 2 done)

PrunedKeptTotal
New1511152
Fresh11516
Picked011
Done011
Total15218170

Merged error: 5.0b

Counts
170 → 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))

rewrite47.0ms

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×cbrt-unprod 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 → 201
Calls
4 calls:
6.0ms
(/ (/ A l) V)
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
15.0ms
(sqrt (pow (/ (/ A l) V) 1))

series126.0ms

Counts
4 → 12
Calls
4 calls:
18.0ms
(/ (/ A l) V)
19.0ms
(* (/ 1 V) (/ A l))
58.0ms
(sqrt (* (/ 1 V) (/ A l)))
31.0ms
(sqrt (pow (/ (/ A l) V) 1))

simplify111.0ms

Algorithm
egg-herbie
Counts
213 → 213
Iterations

Useful iterations: 2 (89.0ms)

IterNodesCost
09341395
146831191
250021186

prune680.0ms

Filtered
213 candidates to 166 candidates (77.9%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2121213
Fresh21315
Picked101
Done022
Total21516231

Merged error: 5.0b

Counts
231 → 16

regimes673.0ms

Accuracy

48.5% (7.3b remaining)

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

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03929
13929

end0.0ms

sample1.1s

Algorithm
intervals
Results
311.0ms8914×body80valid
305.0ms8925×body80nan