Details

Time bar (total: 4.4s)

sample33.0ms

Algorithm
intervals
Results
8.0ms309×body80nan
7.0ms283×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: 19.4b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
5.5b
(/ A (* V l))
14.9b
(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)))

series98.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(* c0 (sqrt (/ A (* V l))))
19.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify66.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune178.0ms

Filtered
75 candidates to 55 candidates (73.3%)
Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New611475
Fresh000
Picked101
Done000
Total621476

Merged error: 6.0b

Counts
76 → 14

localize8.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.6b
(* (/ 1 V) (/ A l))
14.9b
(sqrt (* (/ 1 V) (/ A l)))

rewrite28.0ms

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:
9.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series122.0ms

Counts
3 → 9
Calls
3 calls:
51.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
18.0ms
(* (/ 1 V) (/ A l))
53.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify46.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0418505
11840440
25001414

prune236.0ms

Filtered
101 candidates to 69 candidates (68.3%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New956101
Fresh4913
Picked011
Done000
Total9916115

Merged error: 3.9b

Counts
115 → 16

localize10.0ms

Local error

Found 4 expressions with local error:

3.6b
(* (/ 1 V) (/ A l))
3.6b
(* (/ 1 V) (/ A l))
14.9b
(sqrt (* (/ 1 V) (/ A l)))
14.9b
(sqrt (* (/ 1 V) (/ A l)))

rewrite41.0ms

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))
11.0ms
(* (/ 1 V) (/ A l))
8.0ms
(sqrt (* (/ 1 V) (/ A l)))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series146.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(* (/ 1 V) (/ A l))
19.0ms
(* (/ 1 V) (/ A l))
55.0ms
(sqrt (* (/ 1 V) (/ A l)))
51.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify45.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353726
11557620
25002568

prune469.0ms

Filtered
152 candidates to 106 candidates (69.7%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1511152
Fresh01414
Picked011
Done101
Total15216168

Merged error: 3.9b

Counts
168 → 16

localize18.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
3.6b
(* (/ 1 V) (/ A l))
14.9b
(sqrt (* (/ 1 V) (/ A l)))
14.9b
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
188×times-frac
149×add-sqr-sqrt
104×add-exp-log
96×*-un-lft-identity
95×associate-*r*
89×add-cube-cbrt
45×cbrt-prod
41×div-exp
40×add-cbrt-cube
38×prod-exp
21×unswap-sqr
20×associate-*l*
19×cbrt-undiv
16×cbrt-unprod
14×pow1
10×div-inv
8×rec-exp 1-exp
6×sqrt-div
4×frac-times sqrt-pow1 associate-*r/ pow-prod-down associate-*l/ add-log-exp
2×pow1/2 sqrt-prod *-commutative
Counts
4 → 230
Calls
4 calls:
36.0ms
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
11.0ms
(* (/ 1 V) (/ A l))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))
15.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

series188.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V)))
18.0ms
(* (/ 1 V) (/ A l))
54.0ms
(sqrt (* (/ 1 V) (/ A l)))
77.0ms
(sqrt (* (/ 1 (* (cbrt V) (cbrt V))) (/ (/ A l) (cbrt V))))

simplify53.0ms

Algorithm
egg-herbie
Counts
242 → 242
Iterations

Useful iterations: 1 (28.0ms)

IterNodesCost
012972171
150021871

prune957.0ms

Filtered
242 candidates to 173 candidates (71.5%)
Pruning

16 alts after pruning (14 fresh and 2 done)

PrunedKeptTotal
New2411242
Fresh11314
Picked011
Done011
Total24216258

Merged error: 3.9b

Counts
258 → 16

regimes659.0ms

Accuracy

47% (7.8b remaining)

Error of 12.5b against oracle of 4.6b and baseline of 19.4b

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05537
15537

end0.0ms

sample889.0ms

Algorithm
intervals
Results
235.0ms8967×body80valid
226.0ms8938×body80nan