Details

Time bar (total: 8.4s)

sample189.0ms

Algorithm
intervals
Results
48.0ms87×body5120valid
35.0ms418×body80nan
24.0ms54×body2560valid
15.0ms199×body80valid
13.0ms22×body5120exit
10.0ms27×body1280valid
5.0ms16×body640valid
2.0ms9×body320valid
0.0ms2×body160valid

simplify115.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

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: 59.5b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

15.8b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.8b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.8b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.8b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite84.0ms

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)))
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))))

series518.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
91.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
242.0ms
(+ (/ (* 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

prune255.0ms

Filtered
155 candidates to 56 candidates (36.1%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New1514155
Fresh000
Picked011
Done000
Total1515156

Merged error: 31.5b

Counts
156 → 5

localize5.0ms

Local error

Found 1 expressions with local error:

6.9b
(* (/ c0 (* 2.0 w)) 0)

rewrite10.0ms

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)

simplify294.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (290.0ms)

IterNodesCost
017632
1185916
250016

prune49.0ms

Filtered
31 candidates to 19 candidates (61.3%)
Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh033
Picked101
Done011
Total31536

Merged error: 29.1b

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

prune10.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done011
Total055

Merged error: 29.1b

Counts
5 → 5

localize22.0ms

Local error

Found 4 expressions with local error:

14.1b
(/ (* d d) (* D D))
15.8b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.8b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
34.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (/ c0 (* w h)) (/ (* d d) (* D D)))) (* M M))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
154×add-exp-log add-cbrt-cube
82×prod-exp cbrt-unprod
34×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 → 121
Calls
4 calls:
7.0ms
(/ (* d d) (* D D))
15.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
35.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (/ c0 (* w h)) (/ (* d d) (* D D)))) (* M M))))

series455.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* d d) (* D D))
95.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
92.0ms
(/ (* 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 (* w h)) (/ (* d d) (* D D)))) (* M M))))

simplify144.0ms

Algorithm
egg-herbie
Counts
133 → 133
Iterations

Useful iterations: 1 (19.0ms)

IterNodesCost
06641772
143221285
250011285

prune233.0ms

Filtered
133 candidates to 53 candidates (39.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1312133
Fresh022
Picked011
Done112
Total1326138

Merged error: 28.8b

Counts
138 → 6

regimes325.0ms

Accuracy

0% (2.6b remaining)

Error of 33.5b against oracle of 30.9b and baseline of 33.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.5s

Algorithm
intervals
Results
1.3s2304×body5120valid
994.0ms13210×body80nan
805.0ms1760×body2560valid
531.0ms6855×body80valid
366.0ms605×body5120exit
333.0ms896×body1280valid
136.0ms462×body640valid
51.0ms240×body320valid
16.0ms108×body160valid

Profiling

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