Details

Time bar (total: 9.2s)

sample223.0ms

Algorithm
intervals
Results
40.0ms69×body5120valid
36.0ms453×body80nan
26.0ms55×body2560valid
21.0ms23×body5120exit
18.0ms224×body80valid
13.0ms32×body1280valid
2.0ms8×body320valid
2.0ms6×body640valid
1.0ms4×body160valid

simplify108.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune5.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.3b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

21.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
21.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
21.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
23.4b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite79.0ms

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)))
14.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series190.0ms

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)))
98.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify123.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05792159
137861523
250011523

prune133.0ms

Filtered
56 candidates to 155 candidates (-176.8%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New1496155
Fresh000
Picked101
Done000
Total1506156

Merged error: 35.5b

Counts
156 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

7.2b
(* (/ c0 (* 2.0 w)) 0)

rewrite9.0ms

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:
8.0ms
(* (/ c0 (* 2.0 w)) 0)

series1.0ms

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

simplify288.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (284.0ms)

IterNodesCost
017632
1185916
250016

prune60.0ms

Filtered
19 candidates to 31 candidates (-63.2%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh055
Picked101
Done000
Total31637

Merged error: 32.4b

Counts
37 → 6

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

prune27.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done000
Total066

Merged error: 32.4b

Counts
6 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

21.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
21.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
23.4b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
23.4b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
142×add-exp-log add-cbrt-cube
78×prod-exp cbrt-unprod
30×cbrt-undiv div-exp
8×*-un-lft-identity add-log-exp
4×pow1 add-sqr-sqrt add-cube-cbrt sqrt-div frac-add
2×+-commutative flip3-- frac-2neg flip3-+ times-frac clear-num associate-/r* sum-log flip-- flip-+ div-inv distribute-lft-out associate-/l*
Counts
4 → 114
Calls
4 calls:
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
31.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series257.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
98.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
98.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify122.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05792274
137861782
250011782

prune104.0ms

Filtered
56 candidates to 126 candidates (-125.0%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh044
Picked011
Done011
Total1266132

Merged error: 32.4b

Counts
132 → 6

regimes803.0ms

Accuracy

0% (2.2b remaining)

Error of 33.3b against oracle of 31.1b and baseline of 33.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample6.5s

Algorithm
intervals
Results
1.4s2309×body5120valid
1.1s13288×body80nan
855.0ms1758×body2560valid
562.0ms6891×body80valid
372.0ms565×body5120exit
358.0ms903×body1280valid
135.0ms431×body640valid
53.0ms222×body320valid
19.0ms120×body160valid

Profiling

Loading profile data...