Details

Time bar (total: 3.3s)

analyze476.0ms

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

sample28.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
3.0ms80×body80nan
1.0ms31×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: 17.0b

Counts
2 → 1

localize7.0ms

Local error

Found 3 expressions with local error:

1.6b
(* c0 (sqrt (/ A (* V l))))
4.6b
(/ A (* V l))
15.0b
(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)))

simplify65.0ms

Algorithm
egg-herbie
Counts
75 → 75
Iterations

Useful iterations: 0 (58.0ms)

IterNodesCost
05085561

prune133.0ms

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

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New621375
Fresh000
Picked101
Done000
Total631376

Merged error: 6.4b

Counts
76 → 13

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(/ 1 (* V l))
1.6b
(* c0 (sqrt (* A (/ 1 (* V l)))))
4.2b
(* A (/ 1 (* V l)))
15.0b
(sqrt (* A (/ 1 (* V l))))

rewrite27.0ms

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))))

series33.0ms

Counts
4 → 12
Calls
4 calls:
3.0ms
(/ 1 (* V l))
16.0ms
(* c0 (sqrt (* A (/ 1 (* V l)))))
5.0ms
(* A (/ 1 (* V l)))
9.0ms
(sqrt (* A (/ 1 (* V l))))

simplify69.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 0 (62.0ms)

IterNodesCost
04836662
14836662

prune126.0ms

Filtered
61 candidates to 106 candidates (-73.8%)
Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1060106
Fresh01212
Picked011
Done000
Total10613119

Merged error: 6.4b

Counts
119 → 13

localize9.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ A (* V l))
4.6b
(/ A (* V l))
15.0b
(sqrt (/ A (* V l)))
15.0b
(sqrt (/ A (* V l)))

rewrite16.0ms

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)))

simplify58.0ms

Algorithm
egg-herbie
Counts
90 → 90
Iterations

Useful iterations: 0 (52.0ms)

IterNodesCost
04542600
14542600

prune129.0ms

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

15 alts after pruning (13 fresh and 2 done)

PrunedKeptTotal
New88290
Fresh01111
Picked011
Done011
Total8815103

Merged error: 6.4b

Counts
103 → 15

localize15.0ms

Local error

Found 4 expressions with local error:

4.6b
(/ A (* V l))
15.0b
(sqrt (/ A (* V l)))
17.4b
(cbrt (/ A (* V l)))
17.4b
(cbrt (/ A (* V l)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
14×cbrt-prod
13×add-sqr-sqrt
12×add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
7×sqrt-prod
5×pow1
4×div-inv add-log-exp
3×associate-/l*
2×cbrt-undiv cbrt-div pow1/3 div-exp
1×rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 sqrt-div prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 71
Calls
4 calls:
4.0ms
(/ A (* V l))
3.0ms
(sqrt (/ A (* V l)))
3.0ms
(cbrt (/ A (* V l)))
4.0ms
(cbrt (/ A (* V l)))

series53.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ A (* V l))
9.0ms
(sqrt (/ A (* V l)))
19.0ms
(cbrt (/ A (* V l)))
19.0ms
(cbrt (/ A (* V l)))

simplify38.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
05154620

prune96.0ms

Filtered
63 candidates to 83 candidates (-31.7%)
Pruning

17 alts after pruning (14 fresh and 3 done)

PrunedKeptTotal
New81283
Fresh01212
Picked011
Done022
Total811798

Merged error: 6.3b

Counts
98 → 17

regimes1.1s

Accuracy

65% (4.5b remaining)

Error of 10.9b against oracle of 6.5b and baseline of 19.2b

bsearch1.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05071
15071

end0.0ms

sample688.0ms

Algorithm
intervals
Results
277.0ms8000×body80valid
102.0ms2925×body80nan
28.0ms830×body80invalid

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