Details

Time bar (total: 8.8s)

sample270.0ms

Algorithm
intervals
Results
40.0ms68×body5120valid
33.0ms394×body80nan
29.0ms61×body2560valid
16.0ms202×body80valid
12.0ms31×body1280valid
11.0ms18×body5120exit
4.0ms12×body640valid
2.0ms7×body320valid
1.0ms5×body160valid

simplify106.0ms

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: 57.8b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

16.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.8b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite80.0ms

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)))
15.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* 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))))

series187.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.0ms
(/ (* 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))))

simplify124.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05792159
137861523
250011523

prune130.0ms

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: 31.4b

Counts
156 → 6

localize7.0ms

Local error

Found 1 expressions with local error:

4.9b
(* (/ 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)

simplify285.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (281.0ms)

IterNodesCost
017632
1185916
250016

prune57.0ms

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: 29.9b

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

prune26.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done000
Total066

Merged error: 29.9b

Counts
6 → 6

localize28.0ms

Local error

Found 4 expressions with local error:

16.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.3b
(/ (* (pow d 2) c0) (* w (* (pow D 2) h)))
30.1b
(+ (/ (* (pow d 2) c0) (* w (* (pow D 2) h))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite74.0ms

Algorithm
rewrite-expression-head
Rules
216×add-exp-log
163×add-cbrt-cube
121×prod-exp
87×cbrt-unprod
50×div-exp
36×cbrt-undiv
9×pow-to-exp pow-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 → 139
Calls
4 calls:
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
9.0ms
(/ (* (pow d 2) c0) (* w (* (pow D 2) h)))
31.0ms
(+ (/ (* (pow d 2) c0) (* w (* (pow D 2) h))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series167.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
23.0ms
(/ (* (pow d 2) c0) (* w (* (pow D 2) h)))
83.0ms
(+ (/ (* (pow d 2) c0) (* w (* (pow D 2) h))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify38.0ms

Algorithm
egg-herbie
Counts
151 → 151
Iterations

Useful iterations: 1 (21.0ms)

IterNodesCost
08021914
150011484

prune108.0ms

Filtered
54 candidates to 151 candidates (-179.6%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1483151
Fresh134
Picked101
Done011
Total1507157

Merged error: 29.7b

Counts
157 → 7

regimes838.0ms

Accuracy

0% (2.3b remaining)

Error of 33.8b against oracle of 31.5b and baseline of 33.8b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample6.2s

Algorithm
intervals
Results
1.4s2270×body5120valid
1.1s13020×body80nan
861.0ms1749×body2560valid
557.0ms6691×body80valid
382.0ms584×body5120exit
372.0ms918×body1280valid
153.0ms479×body640valid
55.0ms235×body320valid
19.0ms108×body160valid

Profiling

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