Details

Time bar (total: 9.0s)

sample226.0ms

Algorithm
intervals
Results
46.0ms80×body5120valid
40.0ms486×body80nan
27.0ms54×body2560valid
17.0ms213×body80valid
14.0ms23×body5120exit
13.0ms34×body1280valid
6.0ms18×body640valid
1.0ms6×body320valid
0.0ms3×body160valid

simplify105.0ms

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: 60.1b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

19.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.6b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

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)))
35.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series199.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
33.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
103.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify123.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05792159
137861523
250011523

prune133.0ms

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: 34.7b

Counts
156 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

6.4b
(* (/ 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: 33.0b

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: 33.0b

Counts
6 → 6

localize25.0ms

Local error

Found 4 expressions with local error:

19.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.6b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
28.6b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite86.0ms

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)))
33.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series198.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
102.0ms
(+ (/ (* 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 (17.0ms)

IterNodesCost
05792159
137861523
250011523

prune110.0ms

Filtered
56 candidates to 155 candidates (-176.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1541155
Fresh044
Picked101
Done011
Total1556161

Merged error: 33.0b

Counts
161 → 6

regimes771.0ms

Accuracy

0% (2.3b remaining)

Error of 33.7b against oracle of 31.4b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample6.4s

Algorithm
intervals
Results
1.4s2266×body5120valid
1.0s13109×body80nan
848.0ms1742×body2560valid
565.0ms6870×body80valid
407.0ms629×body5120exit
354.0ms879×body1280valid
150.0ms483×body640valid
50.0ms218×body320valid
17.0ms107×body160valid

Profiling

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