Details

Time bar (total: 3.4s)

analyze507.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%99.8%0.2%0
0%99.8%0.2%1
0%99.8%0.2%2
0%99.8%0.2%3
0%99.8%0.2%4
0%99.8%0.2%5
0%99.8%0.2%6
0%93.6%6.4%7
3.1%84.2%12.7%8
12.5%67.1%20.5%9
16%63.5%20.5%10
17.9%57.7%24.4%11
22.6%48.7%28.7%12
28.7%37.8%33.6%13
30.4%35.9%33.7%14

sample26.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms82×body80nan
1.0ms24×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0148
1148

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 18.3b

Counts
2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

1.9b
(* c0 (sqrt (/ A (* V l))))
4.4b
(/ A (* V l))
15.4b
(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)))

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)))

simplify63.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
05085561

prune159.0ms

Filtered
57 candidates to 75 candidates (-31.6%)
Pruning

18 alts after pruning (18 fresh and 0 done)

PrunedKeptTotal
New571875
Fresh000
Picked101
Done000
Total581876

Merged error: 7.1b

Counts
76 → 18

localize9.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ A (* V l))
4.4b
(/ A (* V l))
15.4b
(sqrt (/ A (* V l)))
15.4b
(sqrt (/ A (* V l)))

rewrite17.0ms

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

series27.0ms

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

simplify61.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04542600
14542600

prune147.0ms

Filtered
66 candidates to 90 candidates (-36.4%)
Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New88290
Fresh21517
Picked011
Done000
Total9018108

Merged error: 7.1b

Counts
108 → 18

localize10.0ms

Local error

Found 4 expressions with local error:

4.4b
(/ A (* V l))
4.4b
(/ A (* V l))
18.3b
(cbrt (/ A (* V l)))
18.3b
(cbrt (/ A (* V l)))

rewrite16.0ms

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:
4.0ms
(/ A (* V l))
4.0ms
(/ A (* V l))
3.0ms
(cbrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))

series51.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ A (* V l))
5.0ms
(/ A (* V l))
22.0ms
(cbrt (/ A (* V l)))
20.0ms
(cbrt (/ A (* V l)))

simplify61.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04948618
14948618

prune147.0ms

Filtered
62 candidates to 86 candidates (-38.7%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New84286
Fresh31316
Picked101
Done011
Total8816104

Merged error: 7.1b

Counts
104 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt A)
4.4b
(/ A (* V l))
13.9b
(cbrt (* V l))
18.3b
(cbrt (/ A (* V l)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×cbrt-prod
9×add-exp-log add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×times-frac
4×pow1 add-log-exp
3×pow1/3 associate-/l*
2×cbrt-undiv div-exp div-inv
1×cbrt-div frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt A)
4.0ms
(/ A (* V l))
2.0ms
(cbrt (* V l))
5.0ms
(cbrt (/ A (* V l)))

series58.0ms

Counts
4 → 12
Calls
4 calls:
21.0ms
(cbrt A)
5.0ms
(/ A (* V l))
14.0ms
(cbrt (* V l))
20.0ms
(cbrt (/ A (* V l)))

simplify40.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
05414418

prune77.0ms

Filtered
50 candidates to 69 candidates (-38.0%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New65469
Fresh31114
Picked101
Done011
Total691685

Merged error: 5.0b

Counts
85 → 16

regimes1.0s

Accuracy

24.2% (5.6b remaining)

Error of 10.0b against oracle of 4.4b and baseline of 11.8b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03550
13550

end0.0ms

sample745.0ms

Algorithm
intervals
Results
302.0ms8000×body80valid
104.0ms3023×body80nan
33.0ms854×body80invalid

Profiling

Loading profile data...