Details

Time bar (total: 9.5s)

sample222.0ms

Algorithm
intervals
Results
54.0ms78×body5120valid
34.0ms369×body80nan
24.0ms47×body2560valid
20.0ms226×body80valid
13.0ms18×body5120exit
10.0ms26×body1280valid
5.0ms13×body640valid
1.0ms6×body320valid
1.0ms4×body160valid

simplify42.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0551542

prune20.0ms

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: 57.6b

Counts
2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

20.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite97.0ms

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:
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
46.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series192.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
100.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify65.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049542695
149542695

prune141.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1514155
Fresh011
Picked101
Done000
Total1525157

Merged error: 28.4b

Counts
157 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

4.0b
(* (/ c0 (* 2.0 w)) 0)

rewrite8.0ms

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×mul0 pow-prod-down associate-*l/ *-commutative div-inv add-log-exp unswap-sqr
Counts
1 → 28
Calls
1 calls:
7.0ms
(* (/ c0 (* 2.0 w)) 0)

series1.0ms

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

simplify42.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
0517678

prune56.0ms

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

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh044
Picked101
Done000
Total31536

Merged error: 27.8b

Counts
36 → 5

localize0.0ms

rewrite0.0ms

Algorithm
rewrite-expression-head
Rules
Counts
0 → 0

series0.0ms

Counts
0 → 0

simplify3.0ms

Algorithm
egg-herbie
Counts
0 → 0
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
000

prune20.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done000
Total055

Merged error: 27.8b

Counts
5 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (/ d D) (/ d D))
4.4b
(* (/ c0 (* 2.0 w)) (* (/ c0 (* w h)) (* (/ d D) (/ d D))))
6.8b
(/ c0 (* w h))
12.8b
(* (/ c0 (* w h)) (* (/ d D) (/ d D)))

rewrite69.0ms

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:
11.0ms
(* (/ d D) (/ d D))
20.0ms
(* (/ c0 (* 2.0 w)) (* (/ c0 (* w h)) (* (/ d D) (/ d D))))
4.0ms
(/ c0 (* w h))
15.0ms
(* (/ c0 (* w h)) (* (/ d D) (/ d D)))

series100.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (/ d D) (/ d D))
47.0ms
(* (/ c0 (* 2.0 w)) (* (/ c0 (* w h)) (* (/ d D) (/ d D))))
5.0ms
(/ c0 (* w h))
43.0ms
(* (/ c0 (* w h)) (* (/ d D) (/ d D)))

simplify84.0ms

Algorithm
egg-herbie
Counts
286 → 286
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
050853934

prune162.0ms

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

24 alts after pruning (23 fresh and 1 done)

PrunedKeptTotal
New26620286
Fresh033
Picked101
Done011
Total26724291

Merged error: 27.0b

Counts
291 → 24

regimes1.7s

Accuracy

0% (3.7b remaining)

Error of 33.8b against oracle of 30.2b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
011
111

end0.0ms

sample6.5s

Algorithm
intervals
Results
1.4s2307×body5120valid
1.0s12840×body80nan
851.0ms1739×body2560valid
538.0ms6596×body80valid
373.0ms577×body5120exit
370.0ms928×body1280valid
137.0ms438×body640valid
51.0ms215×body320valid
19.0ms116×body160valid

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