Details

Time bar (total: 3.5s)

sample32.0ms

Algorithm
intervals
Results
7.0ms302×body80nan
7.0ms283×body80valid

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: 17.3b

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b
(* c0 (sqrt (/ A (* V l))))
3.8b
(/ A (* V l))
16.4b
(sqrt (/ A (* V l)))

rewrite18.0ms

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)))

series100.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
36.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune192.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.3b

localize7.0ms

Local error

Found 3 expressions with local error:

1.2b
(* (sqrt (/ A (* V l))) c0)
3.8b
(/ A (* V l))
16.4b
(sqrt (/ A (* V l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×sqrt-prod
11×add-cube-cbrt *-un-lft-identity
10×add-exp-log associate-*l* add-cbrt-cube
9×times-frac
6×pow1
3×associate-*r* 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 pow-prod-down associate-*l/ clear-num associate-/r* *-commutative
Counts
3 → 66
Calls
3 calls:
8.0ms
(* (sqrt (/ A (* V l))) c0)
5.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series128.0ms

Counts
3 → 9
Calls
3 calls:
73.0ms
(* (sqrt (/ A (* V l))) c0)
25.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))

simplify101.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (91.0ms)

IterNodesCost
0242335
1912309
24625307
35002306

prune179.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 7.3b

localize9.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ A (* V l))
3.8b
(/ A (* V l))
16.4b
(sqrt (/ A (* V l)))
16.4b
(sqrt (/ A (* V l)))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log add-sqr-sqrt sqrt-prod add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity times-frac
6×pow1 associate-/l*
4×cbrt-undiv div-exp div-inv add-log-exp
2×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 78
Calls
4 calls:
4.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))
4.0ms
(sqrt (/ A (* V l)))

series105.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
30.0ms
(sqrt (/ A (* V l)))
35.0ms
(sqrt (/ A (* V l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0131338
1440304
21801304
35001304

prune294.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 7.3b

localize15.0ms

Local error

Found 4 expressions with local error:

3.8b
(/ A (* V l))
3.8b
(/ A (* V l))
18.8b
(cbrt (/ A (* V l)))
18.8b
(cbrt (/ A (* V l)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
14×add-exp-log cbrt-prod add-cbrt-cube
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
6×associate-/l*
4×pow1 cbrt-undiv div-exp div-inv add-log-exp
2×cbrt-div frac-2neg pow1/3 prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 74
Calls
4 calls:
5.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
3.0ms
(cbrt (/ A (* V l)))
4.0ms
(cbrt (/ A (* V l)))

series204.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(/ A (* V l))
19.0ms
(/ A (* V l))
81.0ms
(cbrt (/ A (* V l)))
84.0ms
(cbrt (/ A (* V l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (42.0ms)

IterNodesCost
0181408
1540342
22204338
35002330

prune245.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 7.3b

regimes550.0ms

Accuracy

53.5% (6.0b remaining)

Error of 12.1b against oracle of 6.1b and baseline of 19.0b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04227
14227

end0.0ms

sample1.1s

Algorithm
intervals
Results
442.0ms8969×body80valid
232.0ms8960×body80nan