Details

Time bar (total: 10.6s)

analyze2.0s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0%98.1%1.9%13
0%98.1%1.9%14

sample185.0ms

Algorithm
intervals
Results
41.0ms71×body5120valid
33.0ms405×body80nan
26.0ms56×body2560valid
15.0ms147×body80invalid
12.0ms19×body5120exit
10.0ms25×body1280valid
6.0ms80×body80valid
4.0ms13×body640valid
2.0ms9×body320valid
1.0ms2×body640invalid
1.0ms1×body5120invalid
0.0ms1×body1280invalid
0.0ms2×body160valid
0.0ms1×body320invalid

simplify34.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
0551542

prune16.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.5b

Counts
2 → 2

localize21.0ms

Local error

Found 4 expressions with local error:

18.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.1b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
211×add-exp-log add-cbrt-cube
117×prod-exp cbrt-unprod
45×cbrt-undiv div-exp
6×*-un-lft-identity add-log-exp
4×pow1 add-sqr-sqrt add-cube-cbrt
3×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
2×sqrt-div frac-add
1×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
4 → 143
Calls
4 calls:
11.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
41.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series193.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify78.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 0 (59.0ms)

IterNodesCost
049542695
149542695

prune144.0ms

Filtered
54 candidates to 155 candidates (-187.0%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New1496155
Fresh011
Picked101
Done000
Total1507157

Merged error: 32.5b

Counts
157 → 7

localize4.0ms

Local error

Found 1 expressions with local error:

4.7b
(* (/ c0 (* 2.0 w)) 0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×associate-*l*
6×add-sqr-sqrt
4×add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
3×pow1 times-frac associate-*r*
2×cbrt-undiv div-exp
1×pow-prod-down associate-*l/ *-commutative mul0-rgt div-inv add-log-exp unswap-sqr
Counts
1 → 28
Calls
1 calls:
6.0ms
(* (/ c0 (* 2.0 w)) 0)

series1.0ms

Counts
1 → 3
Calls
1 calls:
1.0ms
(* (/ c0 (* 2.0 w)) 0)

simplify39.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
0517678

prune66.0ms

Filtered
21 candidates to 31 candidates (-47.6%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh066
Picked101
Done000
Total31738

Merged error: 31.1b

Counts
38 → 7

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify2.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
000

prune31.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New000
Fresh066
Picked011
Done000
Total077

Merged error: 31.1b

Counts
7 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (/ d D) (/ d D))
6.0b
(/ c0 (* w h))
11.1b
(* (/ c0 (* 2.0 w)) (* (/ c0 (* w h)) (* (/ d D) (/ d D))))
14.4b
(* (/ c0 (* w h)) (* (/ d D) (/ d D)))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
396×add-exp-log add-cbrt-cube
197×prod-exp cbrt-unprod
126×cbrt-undiv div-exp
51×add-sqr-sqrt
49×times-frac
38×add-cube-cbrt *-un-lft-identity
27×associate-*l*
25×pow1
23×frac-times associate-*r/
15×associate-*r*
13×swap-sqr
11×associate-*l/
10×pow-prod-down
7×div-inv
5×unswap-sqr
4×add-log-exp
3×*-commutative associate-/l*
1×pow2 frac-2neg pow-plus clear-num associate-/r* pow-sqr pow-prod-up
Counts
4 → 274
Calls
4 calls:
9.0ms
(* (/ d D) (/ d D))
4.0ms
(/ c0 (* w h))
17.0ms
(* (/ c0 (* 2.0 w)) (* (/ c0 (* w h)) (* (/ d D) (/ d D))))
11.0ms
(* (/ c0 (* w h)) (* (/ d D) (/ d D)))

series92.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ d D) (/ d D))
7.0ms
(/ c0 (* w h))
44.0ms
(* (/ c0 (* 2.0 w)) (* (/ c0 (* w h)) (* (/ d D) (/ d D))))
36.0ms
(* (/ c0 (* w h)) (* (/ d D) (/ d D)))

simplify76.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 0 (53.0ms)

IterNodesCost
050853934

prune155.0ms

Filtered
114 candidates to 286 candidates (-150.9%)
Pruning

27 alts after pruning (26 fresh and 1 done)

PrunedKeptTotal
New26521286
Fresh055
Picked101
Done011
Total26627293

Merged error: 30.5b

Counts
293 → 27

regimes1.7s

Accuracy

0% (3.6b remaining)

Error of 33.4b against oracle of 29.7b and baseline of 33.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.4s2290×body5120valid
1.0s12878×body80nan
831.0ms1702×body2560valid
369.0ms587×body5120exit
349.0ms4279×body80invalid
325.0ms833×body1280valid
203.0ms2489×body80valid
119.0ms389×body640valid
46.0ms201×body320valid
26.0ms68×body1280invalid
24.0ms51×body2560invalid
15.0ms96×body160valid
11.0ms37×body640invalid
7.0ms30×body320invalid
3.0ms5×body5120invalid
3.0ms17×body160invalid

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