Details

Time bar (total: 4.1s)

analyze461.0ms

Algorithm
search

sample25.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms83×body80nan
1.0ms32×body80invalid

simplify4.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0124
1144
2144

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.7b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

1.4b
(* c0 (sqrt (/ A (* V l))))
5.1b
(/ A (* V l))
14.2b
(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×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))
4.0ms
(sqrt (/ A (* V l)))

series27.0ms

Counts
3 → 9
Calls
3 calls:
13.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

simplify59.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
0214321
1808296
23059293
35001293

prune149.0ms

Filtered
55 candidates to 75 candidates (-36.4%)
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New591675
Fresh000
Picked101
Done000
Total601676

Merged error: 6.2b

Counts
76 → 16

localize8.0ms

Local error

Found 4 expressions with local error:

0.7b
(/ 1 (* V l))
1.4b
(* c0 (sqrt (* A (/ 1 (* V l)))))
4.9b
(* A (/ 1 (* V l)))
14.2b
(sqrt (* A (/ 1 (* V l))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
36×add-exp-log
20×add-cbrt-cube
15×add-sqr-sqrt
14×pow1 prod-exp
11×add-cube-cbrt *-un-lft-identity associate-*r*
8×div-exp
6×times-frac associate-*l* cbrt-unprod
5×associate-*r/
4×cbrt-undiv rec-exp sqrt-div 1-exp pow-prod-down add-log-exp
3×un-div-inv associate-/l*
2×pow-flip sqrt-pow1 sqrt-prod *-commutative div-inv unswap-sqr
1×frac-2neg pow1/2 clear-num associate-/r* inv-pow
Counts
4 → 94
Calls
4 calls:
4.0ms
(/ 1 (* V l))
8.0ms
(* c0 (sqrt (* A (/ 1 (* V l)))))
7.0ms
(* A (/ 1 (* V l)))
5.0ms
(sqrt (* A (/ 1 (* V l))))

series30.0ms

Counts
4 → 12
Calls
4 calls:
2.0ms
(/ 1 (* V l))
14.0ms
(* c0 (sqrt (* A (/ 1 (* V l)))))
5.0ms
(* A (/ 1 (* V l)))
9.0ms
(sqrt (* A (/ 1 (* V l))))

simplify39.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0299432
11368372
25002353

prune155.0ms

Filtered
59 candidates to 106 candidates (-79.7%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New1042106
Fresh01515
Picked011
Done000
Total10418122

Merged error: 6.1b

Counts
122 → 18

localize8.0ms

Local error

Found 3 expressions with local error:

1.4b
(* c0 (sqrt (* (/ A V) (/ 1 l))))
4.7b
(* (/ A V) (/ 1 l))
14.2b
(sqrt (* (/ A V) (/ 1 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×sqrt-div div-exp
7×associate-*r/ unswap-sqr
5×cbrt-unprod
4×cbrt-undiv
3×frac-times pow-prod-down associate-*l/ un-div-inv add-log-exp
2×rec-exp sqrt-pow1 1-exp sqrt-prod *-commutative div-inv
1×pow1/2
Counts
3 → 95
Calls
3 calls:
9.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
10.0ms
(* (/ A V) (/ 1 l))
5.0ms
(sqrt (* (/ A V) (/ 1 l)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (* (/ A V) (/ 1 l))))
187.0ms
(* (/ A V) (/ 1 l))
9.0ms
(sqrt (* (/ A V) (/ 1 l)))

simplify44.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
0437512
11885452
25001413

prune161.0ms

Filtered
71 candidates to 104 candidates (-46.5%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New1004104
Fresh51116
Picked011
Done011
Total10517122

Merged error: 4.7b

Counts
122 → 17

localize15.0ms

Local error

Found 4 expressions with local error:

12.1b
(cbrt (/ 1 (* V l)))
12.1b
(cbrt (/ 1 (* V l)))
12.1b
(cbrt (/ 1 (* V l)))
14.2b
(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
15×cbrt-div
14×pow1
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac associate-*r/
7×sqrt-div
6×pow-prod-down
5×frac-times associate-*l/
4×add-exp-log sqrt-pow1 add-cbrt-cube add-log-exp
3×pow1/3 div-inv
1×pow1/2 sqrt-prod
Counts
4 → 68
Calls
4 calls:
3.0ms
(cbrt (/ 1 (* V l)))
4.0ms
(cbrt (/ 1 (* V l)))
3.0ms
(cbrt (/ 1 (* V l)))
12.0ms
(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

series48.0ms

Counts
4 → 12
Calls
4 calls:
13.0ms
(cbrt (/ 1 (* V l)))
13.0ms
(cbrt (/ 1 (* V l)))
13.0ms
(cbrt (/ 1 (* V l)))
10.0ms
(sqrt (* (* A (* (cbrt (/ 1 (* V l))) (cbrt (/ 1 (* V l))))) (cbrt (/ 1 (* V l)))))

simplify48.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 4 (42.0ms)

IterNodesCost
0183577
1374532
2759520
31621461
45001419

prune128.0ms

Filtered
53 candidates to 80 candidates (-50.9%)
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New79180
Fresh01414
Picked101
Done022
Total801797

Merged error: 4.3b

Counts
97 → 17

regimes1.2s

Accuracy

45.8% (5.7b remaining)

Error of 9.6b against oracle of 3.9b and baseline of 14.4b

bsearch1.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05031
15031

end0.0ms

analyze461.0ms

Algorithm
search

sample684.0ms

Algorithm
intervals
Results
281.0ms8000×body80valid
100.0ms2906×body80nan
29.0ms849×body80invalid

Profiling

Loading profile data...