Details

Time bar (total: 3.7s)

sample42.0ms

Algorithm
intervals
Results
12.0ms293×body80valid
11.0ms269×body80nan

simplify6.0ms

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: 18.9b

localize11.0ms

Local error

Found 3 expressions with local error:

1.7b
(* c0 (sqrt (/ A (* V l))))
4.7b
(/ A (* V l))
15.8b
(sqrt (/ A (* V l)))

rewrite19.0ms

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:
11.0ms
(* c0 (sqrt (/ A (* V l))))
3.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))

series101.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(* c0 (sqrt (/ A (* V l))))
20.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0209321
1813296
23055293
35001293

prune184.0ms

Pruning

14 alts after pruning (14 fresh and 0 done)

Merged error: 6.8b

localize8.0ms

Local error

Found 3 expressions with local error:

1.7b
(* (sqrt (/ A (* V l))) c0)
4.7b
(/ A (* V l))
15.8b
(sqrt (/ A (* V l)))

rewrite23.0ms

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:
12.0ms
(* (sqrt (/ A (* V l))) c0)
3.0ms
(/ A (* V l))
6.0ms
(sqrt (/ A (* V l)))

series129.0ms

Counts
3 → 9
Calls
3 calls:
77.0ms
(* (sqrt (/ A (* V l))) c0)
20.0ms
(/ A (* V l))
32.0ms
(sqrt (/ A (* V l)))

simplify98.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 3 (93.0ms)

IterNodesCost
0242335
1912309
24625307
35002306

prune193.0ms

Pruning

16 alts after pruning (15 fresh and 1 done)

Merged error: 6.8b

localize11.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ A (* V l))
4.7b
(/ A (* V l))
15.8b
(sqrt (/ A (* V l)))
15.8b
(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)))

series106.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(/ A (* V l))
20.0ms
(/ A (* V l))
34.0ms
(sqrt (/ A (* V l)))
32.0ms
(sqrt (/ A (* V l)))

simplify48.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0131338
1440304
21801304
35001304

prune290.0ms

Pruning

16 alts after pruning (14 fresh and 2 done)

Merged error: 6.8b

localize12.0ms

Local error

Found 4 expressions with local error:

4.7b
(/ A (* V l))
4.7b
(/ A (* V l))
18.3b
(cbrt (/ A (* V l)))
18.3b
(cbrt (/ A (* V l)))

rewrite12.0ms

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:
3.0ms
(/ A (* V l))
3.0ms
(/ A (* V l))
2.0ms
(cbrt (/ A (* V l)))
2.0ms
(cbrt (/ A (* V l)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ A (* V l))
21.0ms
(/ A (* V l))
86.0ms
(cbrt (/ A (* V l)))
87.0ms
(cbrt (/ A (* V l)))

simplify50.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 3 (44.0ms)

IterNodesCost
0181408
1540342
22204338
35002330

prune257.0ms

Pruning

15 alts after pruning (13 fresh and 2 done)

Merged error: 6.8b

regimes568.0ms

Accuracy

67.1% (4.0b remaining)

Error of 10.4b against oracle of 6.5b and baseline of 18.5b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04028
14028

end0.0ms

sample1.3s

Algorithm
intervals
Results
385.0ms8880×body80valid
376.0ms9021×body80nan