Details

Time bar (total: 4.1s)

analyze472.0ms

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
3.0ms98×body80nan
1.0ms23×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0148
1148

prune4.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 20.9b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (sqrt (/ A (* V l))))
6.6b
(/ A (* V l))
17.2b
(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:
8.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series31.0ms

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

simplify57.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (51.0ms)

IterNodesCost
04959561
14959561

prune142.0ms

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

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New611475
Fresh000
Picked011
Done000
Total611576

Merged error: 5.5b

Counts
76 → 15

localize8.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ 1 (* V (/ l A)))
0.7b
(* c0 (sqrt (/ 1 (* V (/ l A)))))
5.8b
(* V (/ l A))
17.2b
(sqrt (/ 1 (* V (/ l A))))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
32×add-exp-log
30×add-sqr-sqrt
24×associate-*r*
20×add-cube-cbrt *-un-lft-identity add-cbrt-cube
19×times-frac
17×sqrt-prod
15×pow1
10×div-exp
9×prod-exp
6×associate-*l*
5×cbrt-undiv associate-*r/ cbrt-unprod
4×pow-flip sqrt-pow1 pow-prod-down div-inv add-log-exp unswap-sqr
3×rec-exp 1-exp associate-/r/ associate-/l*
2×sqrt-div *-commutative inv-pow
1×rem-sqrt-square frac-2neg pow1/2 clear-num associate-/r*
Counts
4 → 115
Calls
4 calls:
6.0ms
(/ 1 (* V (/ l A)))
9.0ms
(* c0 (sqrt (/ 1 (* V (/ l A)))))
9.0ms
(* V (/ l A))
5.0ms
(sqrt (/ 1 (* V (/ l A))))

series36.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(/ 1 (* V (/ l A)))
14.0ms
(* c0 (sqrt (/ 1 (* V (/ l A)))))
5.0ms
(* V (/ l A))
11.0ms
(sqrt (/ 1 (* V (/ l A))))

simplify71.0ms

Algorithm
egg-herbie
Counts
127 → 127
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
05221866

prune150.0ms

Filtered
76 candidates to 127 candidates (-67.1%)
Pruning

14 alts after pruning (13 fresh and 1 done)

PrunedKeptTotal
New1216127
Fresh6713
Picked101
Done011
Total12814142

Merged error: 5.5b

Counts
142 → 14

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b
(/ c0 (sqrt (* V (/ l A))))
5.8b
(* V (/ l A))
17.0b
(sqrt (* V (/ l A)))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt *-un-lft-identity
13×associate-*r*
10×add-exp-log add-cbrt-cube
8×pow1
5×sqrt-prod
4×associate-/r*
3×associate-*r/ associate-*l* associate-/l* add-log-exp
2×cbrt-undiv sqrt-pow1 sqrt-div div-exp pow-prod-down prod-exp cbrt-unprod div-inv unswap-sqr
1×frac-2neg pow1/2 clear-num associate-/r/ *-commutative
Counts
3 → 76
Calls
3 calls:
6.0ms
(/ c0 (sqrt (* V (/ l A))))
6.0ms
(* V (/ l A))
4.0ms
(sqrt (* V (/ l A)))

series42.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ c0 (sqrt (* V (/ l A))))
5.0ms
(* V (/ l A))
14.0ms
(sqrt (* V (/ l A)))

simplify60.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
04936738
14936738

prune127.0ms

Filtered
64 candidates to 85 candidates (-32.8%)
Pruning

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New81485
Fresh3912
Picked011
Done011
Total841599

Merged error: 5.5b

Counts
99 → 15

localize11.0ms

Local error

Found 3 expressions with local error:

0.7b
(* c0 (pow (* V (/ l A)) -1/2))
5.8b
(* V (/ l A))
17.0b
(pow (* V (/ l A)) -1/2)

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
22×add-sqr-sqrt
18×associate-*r*
14×add-cube-cbrt *-un-lft-identity
11×prod-exp
10×times-frac add-cbrt-cube
8×pow1
6×associate-*l* pow-exp
4×unswap-sqr
3×pow-unpow div-exp cbrt-unprod add-log-exp sqr-pow
2×pow-to-exp unpow-prod-down pow-pow pow-prod-down *-commutative
1×cbrt-undiv associate-*r/ div-inv
Counts
3 → 74
Calls
3 calls:
5.0ms
(* c0 (pow (* V (/ l A)) -1/2))
6.0ms
(* V (/ l A))
5.0ms
(pow (* V (/ l A)) -1/2)

series41.0ms

Counts
3 → 9
Calls
3 calls:
18.0ms
(* c0 (pow (* V (/ l A)) -1/2))
5.0ms
(* V (/ l A))
18.0ms
(pow (* V (/ l A)) -1/2)

simplify45.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
05103679

prune78.0ms

Filtered
55 candidates to 83 candidates (-50.9%)
Pruning

15 alts after pruning (12 fresh and 3 done)

PrunedKeptTotal
New82183
Fresh11112
Picked011
Done022
Total831598

Merged error: 5.5b

Counts
98 → 15

regimes1.2s

Accuracy

65.9% (4.3b remaining)

Error of 10.8b against oracle of 6.6b and baseline of 19.1b

bsearch1.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03875
13875

end0.0ms

analyze681.0ms

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

sample711.0ms

Algorithm
intervals
Results
289.0ms8000×body80valid
102.0ms2976×body80nan
32.0ms928×body80invalid

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