Details

Time bar (total: 8.7s)

sample205.0ms

Algorithm
intervals
Results
45.0ms68×body5120valid
31.0ms405×body80nan
30.0ms66×body2560valid
17.0ms225×body80valid
11.0ms28×body1280valid
9.0ms15×body5120exit
4.0ms12×body640valid
2.0ms8×body320valid
1.0ms7×body160valid

simplify105.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune5.0ms

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: 59.6b

Counts
2 → 1

localize22.0ms

Local error

Found 4 expressions with local error:

18.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.9b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite83.0ms

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:
16.0ms
(/ (* 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))))

series196.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(/ (* 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 (15.0ms)

IterNodesCost
05792159
137861523
250011523

prune122.0ms

Filtered
155 candidates to 56 candidates (63.9%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New1514155
Fresh000
Picked101
Done000
Total1524156

Merged error: 32.3b

Counts
156 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

4.4b
(* (/ 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:
7.0ms
(* (/ c0 (* 2.0 w)) 0)

series1.0ms

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

simplify284.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (281.0ms)

IterNodesCost
017632
1185916
250016

prune46.0ms

Filtered
31 candidates to 19 candidates (38.7%)
Pruning

4 alts after pruning (4 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh033
Picked101
Done000
Total31435

Merged error: 30.0b

Counts
35 → 4

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

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New000
Fresh033
Picked011
Done000
Total044

Merged error: 30.0b

Counts
4 → 4

localize23.0ms

Local error

Found 4 expressions with local error:

17.1b
(/ (* (* w h) (* D D)) (* d d))
18.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.3b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.6b
(+ (/ c0 (/ (* (* w h) (* D D)) (* 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
183×add-exp-log add-cbrt-cube
99×prod-exp cbrt-unprod
40×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 → 133
Calls
4 calls:
11.0ms
(/ (* (* w h) (* D D)) (* d d))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
38.0ms
(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series240.0ms

Counts
4 → 12
Calls
4 calls:
22.0ms
(/ (* (* w h) (* D D)) (* d d))
33.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
154.0ms
(+ (/ c0 (/ (* (* w h) (* D D)) (* d d))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify145.0ms

Algorithm
egg-herbie
Counts
145 → 145
Iterations

Useful iterations: 1 (18.0ms)

IterNodesCost
07191988
147401426
250011426

prune82.0ms

Filtered
145 candidates to 54 candidates (62.8%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1414145
Fresh112
Picked101
Done011
Total1436149

Merged error: 29.5b

Counts
149 → 6

regimes751.0ms

Accuracy

0% (3.2b remaining)

Error of 33.7b against oracle of 30.6b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

sample6.1s

Algorithm
intervals
Results
1.3s2261×body5120valid
1.0s13004×body80nan
789.0ms1686×body2560valid
533.0ms6765×body80valid
351.0ms575×body5120exit
338.0ms899×body1280valid
146.0ms495×body640valid
49.0ms221×body320valid
21.0ms136×body160valid

Profiling

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