Details

Time bar (total: 8.8s)

sample197.0ms

Algorithm
intervals
Results
42.0ms75×body5120valid
33.0ms436×body80nan
26.0ms58×body2560valid
19.0ms216×body80valid
18.0ms21×body5120exit
13.0ms34×body1280valid
4.0ms15×body640valid
1.0ms4×body320valid
0.0ms1×body160valid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune4.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 60.5b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

15.2b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.2b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.2b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite85.0ms

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)))
16.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
34.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series520.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
239.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify129.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05792159
137861523
250011523

prune267.0ms

Filtered
155 candidates to 56 candidates (36.1%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New1505155
Fresh000
Picked101
Done000
Total1515156

Merged error: 32.8b

Counts
156 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

5.9b
(* (/ 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)

simplify289.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (286.0ms)

IterNodesCost
017632
1185916
250016

prune58.0ms

Filtered
31 candidates to 19 candidates (61.3%)
Pruning

5 alts after pruning (5 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh044
Picked101
Done000
Total31536

Merged error: 31.7b

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 (1.0ms)

IterNodesCost
000

prune15.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done000
Total055

Merged error: 31.7b

Counts
5 → 5

localize29.0ms

Local error

Found 4 expressions with local error:

15.2b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.2b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
28.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite106.0ms

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)))
40.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
34.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series665.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
95.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
240.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
237.0ms
(+ (/ (* 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

prune322.0ms

Filtered
126 candidates to 56 candidates (44.4%)
Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New1260126
Fresh033
Picked011
Done011
Total1265131

Merged error: 31.7b

Counts
131 → 5

regimes275.0ms

Accuracy

0% (2.2b remaining)

Error of 34.0b against oracle of 31.7b and baseline of 34.0b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.3s2275×body5120valid
1.0s13214×body80nan
804.0ms1716×body2560valid
539.0ms6843×body80valid
374.0ms614×body5120exit
361.0ms943×body1280valid
133.0ms443×body640valid
53.0ms211×body320valid
18.0ms118×body160valid

Profiling

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