Details

Time bar (total: 3.7s)

analyze490.0ms

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
3.0ms81×body80nan
1.0ms20×body80invalid

simplify3.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0148
1148

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 19.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

0.5b
(* c0 (sqrt (/ A (* V l))))
5.2b
(/ A (* V l))
16.5b
(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:
11.0ms
(* c0 (sqrt (/ A (* V l))))
4.0ms
(/ A (* V l))
4.0ms
(sqrt (/ A (* V l)))

series28.0ms

Counts
3 → 9
Calls
3 calls:
14.0ms
(* c0 (sqrt (/ A (* V l))))
5.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
05085561

prune153.0ms

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

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New601575
Fresh000
Picked011
Done000
Total601676

Merged error: 4.9b

Counts
76 → 16

localize10.0ms

Local error

Found 3 expressions with local error:

0.5b
(* c0 (sqrt (* (/ 1 V) (/ A l))))
4.0b
(* (/ 1 V) (/ A l))
16.5b
(sqrt (* (/ 1 V) (/ A 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×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:
8.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
10.0ms
(* (/ 1 V) (/ A l))
5.0ms
(sqrt (* (/ 1 V) (/ A l)))

series34.0ms

Counts
3 → 9
Calls
3 calls:
15.0ms
(* c0 (sqrt (* (/ 1 V) (/ A l))))
5.0ms
(* (/ 1 V) (/ A l))
14.0ms
(sqrt (* (/ 1 V) (/ A l)))

simplify51.0ms

Algorithm
egg-herbie
Counts
101 → 101
Iterations

Useful iterations: 0 (44.0ms)

IterNodesCost
05059743

prune158.0ms

Filtered
67 candidates to 101 candidates (-50.7%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New983101
Fresh21214
Picked011
Done101
Total10116117

Merged error: 3.2b

Counts
117 → 16

localize14.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt V)
1.4b
(/ A (* l (cbrt V)))
2.2b
(* (/ (sqrt 1) (* (cbrt V) (cbrt V))) (/ A (* l (cbrt V))))
16.5b
(sqrt (* (/ (sqrt 1) (* (cbrt V) (cbrt V))) (/ A (* l (cbrt V)))))

rewrite34.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
35×add-cbrt-cube
19×add-sqr-sqrt
16×prod-exp cbrt-unprod
15×times-frac
14×cbrt-undiv div-exp
13×*-un-lft-identity
12×add-cube-cbrt
10×associate-*l*
9×pow1
7×associate-*r*
6×sqrt-prod
4×add-log-exp unswap-sqr
3×cbrt-prod sqrt-div div-inv associate-/l*
2×frac-times sqrt-pow1 associate-*r/ pow-prod-down associate-*l/
1×frac-2neg pow1/2 pow1/3 clear-num associate-/r* *-commutative
Counts
4 → 97
Calls
4 calls:
1.0ms
(cbrt V)
5.0ms
(/ A (* l (cbrt V)))
14.0ms
(* (/ (sqrt 1) (* (cbrt V) (cbrt V))) (/ A (* l (cbrt V))))
10.0ms
(sqrt (* (/ (sqrt 1) (* (cbrt V) (cbrt V))) (/ A (* l (cbrt V)))))

series67.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt V)
17.0ms
(/ A (* l (cbrt V)))
8.0ms
(* (/ (sqrt 1) (* (cbrt V) (cbrt V))) (/ A (* l (cbrt V))))
19.0ms
(sqrt (* (/ (sqrt 1) (* (cbrt V) (cbrt V))) (/ A (* l (cbrt V)))))

simplify62.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 0 (54.0ms)

IterNodesCost
04892788
14892788

prune178.0ms

Filtered
72 candidates to 109 candidates (-51.4%)
Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1072109
Fresh11314
Picked101
Done011
Total10916125

Merged error: 1.8b

Counts
125 → 16

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt V)
0.5b
(cbrt V)
1.4b
(/ A (* (cbrt V) l))
13.3b
(sqrt (/ A (* (cbrt V) l)))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
10×add-cube-cbrt *-un-lft-identity
9×add-exp-log
8×add-cbrt-cube
7×sqrt-prod
6×cbrt-prod times-frac
5×pow1
4×add-log-exp
3×associate-/l*
2×cbrt-undiv pow1/3 div-exp div-inv
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt V)
1.0ms
(cbrt V)
5.0ms
(/ A (* (cbrt V) l))
4.0ms
(sqrt (/ A (* (cbrt V) l)))

series100.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(cbrt V)
22.0ms
(cbrt V)
21.0ms
(/ A (* (cbrt V) l))
35.0ms
(sqrt (/ A (* (cbrt V) l)))

simplify42.0ms

Algorithm
egg-herbie
Counts
73 → 73
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
04941461
14941461

prune104.0ms

Filtered
55 candidates to 73 candidates (-32.7%)
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New69473
Fresh01414
Picked101
Done011
Total701989

Merged error: 1.8b

Counts
89 → 19

regimes1.3s

Accuracy

54.5% (4.9b remaining)

Error of 7.8b against oracle of 3.0b and baseline of 13.6b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05095
15095

end0.0ms

sample721.0ms

Algorithm
intervals
Results
288.0ms8000×body80valid
104.0ms2919×body80nan
30.0ms863×body80invalid

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