Details

Time bar (total: 4.2s)

sample36.0ms

Algorithm
intervals
Results
10.0ms294×body80nan
8.0ms283×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

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize7.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (/ A (* V l))))
5.1b
(/ 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×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)))

series105.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ A (* V l))))
25.0ms
(/ A (* V l))
33.0ms
(sqrt (/ A (* V l)))

simplify63.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0215345
1819320
23061317
35001317

prune215.0ms

Filtered
81 candidates to 61 candidates (75.3%)
Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.0b
(* (/ 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×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))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series134.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
20.0ms
(* (/ 1 V) (/ A l))
57.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
0424535
11846470
25001444

prune265.0ms

Filtered
107 candidates to 75 candidates (70.1%)
Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.7b

localize15.0ms

Local error

Found 4 expressions with local error:

4.0b
(* (/ 1 V) (/ A l))
4.0b
(* (/ 1 V) (/ A l))
14.9b
(sqrt (* (/ 1 V) (/ A l)))
14.9b
(sqrt (* (/ 1 V) (/ A l)))

rewrite38.0ms

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:
11.0ms
(* (/ 1 V) (/ A l))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
6.0ms
(sqrt (* (/ 1 V) (/ A l)))

series158.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (/ 1 V) (/ A l))
20.0ms
(* (/ 1 V) (/ A l))
53.0ms
(sqrt (* (/ 1 V) (/ A l)))
60.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify43.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 2 (34.0ms)

IterNodesCost
0357762
11561656
25001604

prune513.0ms

Filtered
160 candidates to 114 candidates (71.3%)
Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.7b

localize15.0ms

Local error

Found 4 expressions with local error:

1.7b
(* c0 (sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l)))))
1.7b
(* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l)))
2.5b
(* (cbrt (/ 1 V)) (/ A l))
14.9b
(sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l))))

rewrite256.0ms

Algorithm
rewrite-expression-head
Rules
74×cbrt-div
52×frac-times
49×associate-*r/
45×add-sqr-sqrt
34×associate-*l/
33×pow1
32×add-exp-log
30×sqrt-div
26×times-frac
23×*-un-lft-identity
21×add-cube-cbrt
20×associate-*l* add-cbrt-cube
19×cbrt-prod
18×associate-*r* pow-prod-down
16×prod-exp cbrt-unprod
9×unswap-sqr
5×sqrt-pow1
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv div-exp *-commutative
2×sqrt-prod div-inv
1×pow1/2
Counts
4 → 165
Calls
4 calls:
19.0ms
(* c0 (sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l)))))
15.0ms
(* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l)))
10.0ms
(* (cbrt (/ 1 V)) (/ A l))
15.0ms
(sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
80.0ms
(* c0 (sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l)))))
47.0ms
(* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l)))
108.0ms
(* (cbrt (/ 1 V)) (/ A l))
81.0ms
(sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l))))

simplify71.0ms

Algorithm
egg-herbie
Counts
177 → 177
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
06031680
124071459
250011397

prune421.0ms

Filtered
177 candidates to 114 candidates (64.4%)
Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 2.9b

regimes522.0ms

Accuracy

44.2% (6.2b remaining)

Error of 8.9b against oracle of 2.7b and baseline of 13.9b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05358
15358

end0.0ms

sample912.0ms

Algorithm
intervals
Results
243.0ms8903×body80valid
218.0ms8918×body80nan