Details

Time bar (total: 8.6s)

sample212.0ms

Algorithm
intervals
Results
39.0ms61×body5120valid
34.0ms435×body80nan
30.0ms63×body2560valid
19.0ms239×body80valid
14.0ms18×body5120exit
12.0ms32×body1280valid
4.0ms14×body640valid
1.0ms3×body320valid
0.0ms3×body160valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune5.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 60.1b

Counts
2 → 1

localize21.0ms

Local error

Found 4 expressions with local error:

18.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.6b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite83.0ms

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:
12.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
36.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series189.0ms

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))))

simplify130.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05792159
137861523
250011523

prune117.0ms

Filtered
155 candidates to 56 candidates (63.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1514155
Fresh000
Picked101
Done000
Total1524156

Merged error: 35.5b

Counts
156 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

5.2b
(* (/ 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)

simplify290.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (286.0ms)

IterNodesCost
017632
1185916
250016

prune50.0ms

Filtered
31 candidates to 19 candidates (38.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh033
Picked101
Done000
Total31435

Merged error: 34.8b

Counts
35 → 4

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

prune18.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 34.8b

Counts
4 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

18.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.5b
(/ (/ (* c0 (* d d)) (* w h)) (* D D))
28.8b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (/ (* c0 (* d d)) (* w h)) (* D D))) (* M M))))

rewrite81.0ms

Algorithm
rewrite-expression-head
Rules
207×add-exp-log add-cbrt-cube
103×prod-exp cbrt-unprod
56×cbrt-undiv div-exp
9×times-frac
8×*-un-lft-identity
7×associate-/l*
6×add-sqr-sqrt add-cube-cbrt add-log-exp
5×div-inv
4×pow1
3×frac-2neg clear-num associate-/r*
2×sqrt-div frac-add
1×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ associate-/l/ distribute-lft-out
Counts
4 → 150
Calls
4 calls:
14.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms
(/ (/ (* c0 (* d d)) (* w h)) (* D D))
32.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (/ (* c0 (* d d)) (* w h)) (* D D))) (* M M))))

series188.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms
(/ (/ (* c0 (* d d)) (* w h)) (* D D))
97.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (/ (* c0 (* d d)) (* w h)) (* D D))) (* M M))))

simplify41.0ms

Algorithm
egg-herbie
Counts
162 → 162
Iterations

Useful iterations: 1 (22.0ms)

IterNodesCost
08062199
150011578

prune88.0ms

Filtered
162 candidates to 60 candidates (63.0%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1593162
Fresh112
Picked101
Done011
Total1615166

Merged error: 34.0b

Counts
166 → 5

regimes720.0ms

Accuracy

0% (2.9b remaining)

Error of 33.1b against oracle of 30.2b and baseline of 33.1b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample6.2s

Algorithm
intervals
Results
1.3s2256×body5120valid
1.0s13067×body80nan
837.0ms1757×body2560valid
532.0ms6720×body80valid
369.0ms943×body1280valid
360.0ms577×body5120exit
128.0ms426×body640valid
49.0ms220×body320valid
18.0ms103×body160valid

Profiling

Loading profile data...