Details

Time bar (total: 3.9s)

sample46.0ms

Algorithm
intervals
Results
14.0ms293×body80valid
14.0ms289×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: 21.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (/ A (* V l))))
5.5b
(/ A (* V l))
16.9b
(sqrt (/ A (* V l)))

rewrite21.0ms

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:
13.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
31.0ms
(sqrt (/ A (* V l)))

simplify64.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (20.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune179.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 6.9b

localize8.0ms

Local error

Found 3 expressions with local error:

0.9b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
3.7b
(* (/ 1 V) (/ A l))
16.9b
(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:
20.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
14.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series125.0ms

Counts
3 → 9
Calls
3 calls:
55.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
18.0ms
(* (/ 1 V) (/ A l))
52.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify47.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0418505
11840440
25001414

prune228.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 4.9b

localize9.0ms

Local error

Found 4 expressions with local error:

5.5b
(/ A (* V l))
5.5b
(/ A (* V l))
16.9b
(sqrt (/ A (* V l)))
16.9b
(sqrt (/ A (* V l)))

rewrite13.0ms

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

series110.0ms

Counts
4 → 12
Calls
4 calls:
24.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
30.0ms
(sqrt (/ A (* V l)))
35.0ms
(sqrt (/ A (* V l)))

simplify45.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0131338
1440304
21801304
35001304

prune284.0ms

Pruning

14 alts after pruning (12 fresh and 2 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 4 expressions with local error:

3.6b
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
5.5b
(/ A (* V l))
16.9b
(sqrt (/ A (* V l)))
16.9b
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
45×times-frac
30×add-exp-log
22×sqrt-prod
21×add-sqr-sqrt
20×add-cbrt-cube
18×add-cube-cbrt *-un-lft-identity
12×cbrt-undiv div-exp
11×associate-/r*
9×cbrt-prod
7×div-inv
6×pow1 prod-exp cbrt-unprod
4×associate-/l* add-log-exp
3×rem-sqrt-square
2×frac-2neg sqrt-pow1 pow1/2 sqrt-div clear-num associate-/r/
Counts
4 → 110
Calls
4 calls:
8.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))
7.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

series155.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A)))
20.0ms
(/ A (* V l))
30.0ms
(sqrt (/ A (* V l)))
58.0ms
(sqrt (/ (* (cbrt A) (cbrt A)) (/ (* V l) (cbrt A))))

simplify43.0ms

Algorithm
egg-herbie
Counts
122 → 122
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0380860
11671766
25002607

prune395.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 4.9b

regimes598.0ms

Accuracy

41.1% (8.6b remaining)

Error of 13.1b against oracle of 4.6b and baseline of 19.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04934
14934

end0.0ms

sample1.3s

Algorithm
intervals
Results
453.0ms8931×body80valid
429.0ms8718×body80nan