Details

Time bar (total: 8.8s)

sample186.0ms

Algorithm
intervals
Results
45.0ms73×body5120valid
31.0ms406×body80nan
29.0ms58×body2560valid
17.0ms215×body80valid
13.0ms20×body5120exit
11.0ms30×body1280valid
1.0ms4×body640valid
1.0ms4×body320valid
1.0ms4×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: 60.1b

Counts
2 → 1

localize23.0ms

Local error

Found 4 expressions with local error:

16.0b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0b
(/ (* 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))))

rewrite82.0ms

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)))
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))))

series522.0ms

Counts
4 → 12
Calls
4 calls:
94.0ms
(/ (* 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))))

simplify128.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05792159
137861523
250011523

prune251.0ms

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: 35.9b

Counts
156 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite7.0ms

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:
6.0ms
(* (/ c0 (* 2.0 w)) 0)

series1.0ms

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

simplify287.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (283.0ms)

IterNodesCost
017632
1185916
250016

prune53.0ms

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: 34.6b

Counts
36 → 5

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

prune14.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done000
Total055

Merged error: 34.6b

Counts
5 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

16.0b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.2b
(/ (* d d) (* D D))
33.5b
(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
154×add-exp-log add-cbrt-cube
82×prod-exp cbrt-unprod
34×cbrt-undiv div-exp
6×sqrt-div frac-add add-log-exp
4×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
3×flip3-- frac-2neg times-frac clear-num associate-/r* flip-- div-inv associate-/l*
2×frac-times associate-*r/ associate-*l/
1×+-commutative flip3-+ sum-log flip-+
Counts
4 → 124
Calls
4 calls:
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
6.0ms
(/ (* d d) (* D D))
32.0ms
(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series708.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
25.0ms
(/ (* d d) (* D D))
500.0ms
(+ (* (/ c0 (* w h)) (/ (* d d) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify149.0ms

Algorithm
egg-herbie
Counts
136 → 136
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07242145
145961662
250011662

prune246.0ms

Filtered
136 candidates to 57 candidates (41.9%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1324136
Fresh123
Picked101
Done011
Total1347141

Merged error: 34.4b

Counts
141 → 7

regimes370.0ms

Accuracy

0% (2.5b remaining)

Error of 33.2b against oracle of 30.7b and baseline of 33.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.6s

Algorithm
intervals
Results
1.3s2282×body5120valid
1.0s13027×body80nan
857.0ms1806×body2560valid
529.0ms6695×body80valid
337.0ms544×body5120exit
331.0ms855×body1280valid
136.0ms439×body640valid
51.0ms211×body320valid
16.0ms105×body160valid

Profiling

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