Details

Time bar (total: 3.8s)

sample31.0ms

Algorithm
intervals
Results
7.0ms283×body80valid
7.0ms294×body80nan

simplify5.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize6.0ms

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)))

rewrite16.0ms

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))
3.0ms
(sqrt (/ A (* V l)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))

simplify64.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune185.0ms

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)))

rewrite41.0ms

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:
15.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
15.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
19.0ms
(* (/ 1 V) (/ A l))
54.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify45.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (39.0ms)

IterNodesCost
0418505
11840440
25001414

prune228.0ms

Pruning

15 alts after pruning (14 fresh and 1 done)

Merged error: 4.7b

localize10.0ms

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)))

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×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))
13.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series147.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (/ 1 V) (/ A l))
20.0ms
(* (/ 1 V) (/ A l))
55.0ms
(sqrt (* (/ 1 V) (/ A l)))
53.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
152 → 152
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0353726
11557620
25002568

prune457.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 4.7b

localize12.0ms

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))))

rewrite69.0ms

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×add-log-exp
3×cbrt-undiv div-exp *-commutative
2×sqrt-prod div-inv
1×pow1/2
Counts
4 → 157
Calls
4 calls:
19.0ms
(* c0 (sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l)))))
16.0ms
(* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l)))
10.0ms
(* (cbrt (/ 1 V)) (/ A l))
14.0ms
(sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l))))

series311.0ms

Counts
4 → 12
Calls
4 calls:
81.0ms
(* c0 (sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l)))))
46.0ms
(* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l)))
101.0ms
(* (cbrt (/ 1 V)) (/ A l))
83.0ms
(sqrt (* (* (cbrt (/ 1 V)) (cbrt (/ 1 V))) (* (cbrt (/ 1 V)) (/ A l))))

simplify72.0ms

Algorithm
egg-herbie
Counts
169 → 169
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
05951598
123971377
250021315

prune375.0ms

Pruning

18 alts after pruning (16 fresh and 2 done)

Merged error: 2.9b

regimes516.0ms

Accuracy

44.2% (6.2b remaining)

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

bsearch2.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05358
15358

end0.0ms

sample893.0ms

Algorithm
intervals
Results
244.0ms8903×body80valid
223.0ms8918×body80nan