Details

Time bar (total: 8.1s)

sample151.0ms

Algorithm
intervals
Results
38.0ms83×body5120valid
26.0ms405×body80nan
17.0ms46×body2560valid
15.0ms211×body80valid
7.0ms22×body1280valid
5.0ms10×body10240exit
4.0ms19×body640valid
1.0ms7×body320valid

simplify107.0ms

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: 58.8b

Counts
2 → 1

localize19.0ms

Local error

Found 4 expressions with local error:

16.4b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.4b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.4b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite88.0ms

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)))
14.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
14.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
38.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series525.0ms

Counts
4 → 12
Calls
4 calls:
93.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
94.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
93.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
244.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify127.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
05792159
137861523
250011523

prune264.0ms

Filtered
155 candidates to 56 candidates (36.1%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1505155
Fresh000
Picked011
Done000
Total1506156

Merged error: 33.6b

Counts
156 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

6.9b
(* (/ 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)

simplify291.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (287.0ms)

IterNodesCost
017632
1185916
250016

prune58.0ms

Filtered
31 candidates to 19 candidates (61.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh044
Picked101
Done011
Total31637

Merged error: 31.1b

Counts
37 → 6

localize1.0ms

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

prune17.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New000
Fresh044
Picked011
Done011
Total066

Merged error: 31.1b

Counts
6 → 6

localize24.0ms

Local error

Found 4 expressions with local error:

16.4b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.4b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
27.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
27.5b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
142×add-exp-log add-cbrt-cube
78×prod-exp cbrt-unprod
30×cbrt-undiv div-exp
8×*-un-lft-identity add-log-exp
4×pow1 add-sqr-sqrt add-cube-cbrt sqrt-div frac-add
2×+-commutative flip3-- frac-2neg flip3-+ times-frac clear-num associate-/r* sum-log flip-- flip-+ div-inv distribute-lft-out associate-/l*
Counts
4 → 114
Calls
4 calls:
14.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
14.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
39.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
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))))

series685.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
96.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
244.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))
248.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify126.0ms

Algorithm
egg-herbie
Counts
126 → 126
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
05792274
137861782
250011782

prune313.0ms

Filtered
126 candidates to 56 candidates (44.4%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1260126
Fresh033
Picked011
Done022
Total1266132

Merged error: 31.1b

Counts
132 → 6

regimes359.0ms

Accuracy

63.5% (0.8b remaining)

Error of 32.4b against oracle of 31.6b and baseline of 33.7b

bsearch3.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03152
13152

end0.0ms

sample4.8s

Algorithm
intervals
Results
1.1s2357×body5120valid
791.0ms13183×body80nan
660.0ms1719×body2560valid
427.0ms6766×body80valid
304.0ms584×body10240exit
274.0ms876×body1280valid
108.0ms441×body640valid
45.0ms242×body320valid
12.0ms101×body160valid