Details

Time bar (total: 10.9s)

sample232.0ms

Algorithm
intervals
Results
54.0ms92×body5120valid
37.0ms513×body80nan
26.0ms58×body2560valid
15.0ms210×body80valid
14.0ms24×body5120exit
7.0ms19×body1280valid
5.0ms16×body640valid
3.0ms13×body320valid
0.0ms3×body160valid

simplify106.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune7.0ms

Filtered
1 candidates to 0 candidates (100.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 61.7b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

17.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
32.2b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite79.0ms

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)))
12.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms
(/ (* 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))))

series185.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms
(+ (/ (* 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
155 → 155
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05792159
137861523
250011523

prune462.0ms

Filtered
155 candidates to 56 candidates (63.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New1478155
Fresh000
Picked101
Done000
Total1488156

Merged error: 34.0b

Counts
156 → 8

localize4.0ms

Local error

Found 1 expressions with local error:

8.4b
(* (/ 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)

simplify285.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (281.0ms)

IterNodesCost
017632
1185916
250016

prune92.0ms

Filtered
31 candidates to 19 candidates (38.7%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh077
Picked101
Done000
Total31839

Merged error: 30.9b

Counts
39 → 8

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

prune50.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New000
Fresh077
Picked011
Done000
Total088

Merged error: 30.9b

Counts
8 → 8

localize36.0ms

Local error

Found 4 expressions with local error:

17.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
41.5b
(+ (pow (/ (* c0 (* d d)) (* (* w h) (* D D))) 3) (pow (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))) 3))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
211×add-exp-log add-cbrt-cube
117×prod-exp cbrt-unprod
45×cbrt-undiv div-exp
14×*-un-lft-identity
6×add-log-exp
5×distribute-lft-out
4×pow1 cube-div add-sqr-sqrt add-cube-cbrt unpow-prod-down cube-prod
3×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
2×sqrt-div frac-add
1×+-commutative flip3-- flip3-+ sum-log sum-cubes flip-- flip-+
Counts
4 → 148
Calls
4 calls:
12.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
37.0ms
(+ (pow (/ (* c0 (* d d)) (* (* w h) (* D D))) 3) (pow (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))) 3))

series1.5s

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
33.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
1.4s
(+ (pow (/ (* c0 (* d d)) (* (* w h) (* D D))) 3) (pow (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))) 3))

simplify40.0ms

Algorithm
egg-herbie
Counts
160 → 160
Iterations

Useful iterations: 1 (20.0ms)

IterNodesCost
07172185
150011750

prune685.0ms

Filtered
160 candidates to 58 candidates (63.8%)
Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1591160
Fresh066
Picked101
Done011
Total1608168

Merged error: 30.9b

Counts
168 → 8

regimes1.0s

Accuracy

0% (2.4b remaining)

Error of 34.7b against oracle of 32.3b and baseline of 34.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample5.9s

Algorithm
intervals
Results
1.3s2272×body5120valid
972.0ms13098×body80nan
766.0ms1693×body2560valid
510.0ms6854×body80valid
353.0ms582×body5120exit
314.0ms845×body1280valid
130.0ms453×body640valid
43.0ms201×body320valid
18.0ms116×body160valid

Profiling

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