Details

Time bar (total: 19.3s)

analyze5.9s

Algorithm
search
sampling

Space saved by range analysis: 0.292611%

Space saved by search: 4.090061%

Guaranteed chance to sample good point: 0%

sample174.0ms

Algorithm
intervals
Results
46.0ms76×body5120valid
31.0ms401×body80nan
22.0ms47×body2560valid
14.0ms22×body1280valid
9.0ms111×body80invalid
7.0ms94×body80valid
7.0ms11×body5120exit
3.0ms9×body640valid
1.0ms5×body320valid
1.0ms2×body2560invalid
1.0ms2×body1280invalid
0.0ms3×body160valid

simplify111.0ms

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: 59.1b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

15.4b
(* (* w h) (* D D))
15.4b
(* (* w h) (* D D))
15.4b
(* (* w h) (* D D))
27.6b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
40×pow1 add-exp-log add-cbrt-cube
24×pow-prod-down prod-exp cbrt-unprod
6×*-un-lft-identity add-log-exp
4×add-sqr-sqrt add-cube-cbrt
3×associate-*r* associate-*l* *-commutative
2×sqrt-div frac-add
1×+-commutative flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
4 → 80
Calls
4 calls:
7.0ms
(* (* w h) (* D D))
7.0ms
(* (* w h) (* D D))
7.0ms
(* (* 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))))

series143.0ms

Counts
4 → 12
Calls
4 calls:
14.0ms
(* (* w h) (* D D))
14.0ms
(* (* w h) (* D D))
14.0ms
(* (* w h) (* D D))
101.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify63.0ms

Algorithm
egg-herbie
Counts
92 → 92
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
03171001
11808848
25002848

prune113.0ms

Filtered
44 candidates to 92 candidates (-109.1%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New86692
Fresh000
Picked101
Done000
Total87693

Merged error: 31.3b

Counts
93 → 6

localize5.0ms

Local error

Found 1 expressions with local error:

5.2b
(* (/ 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)

simplify292.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (287.0ms)

IterNodesCost
017632
1185916
250016

prune55.0ms

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: 29.8b

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

prune24.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New000
Fresh055
Picked011
Done000
Total066

Merged error: 29.8b

Counts
6 → 6

localize22.0ms

Local error

Found 4 expressions with local error:

14.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
15.4b
(* (* w h) (* D D))
15.4b
(* (* w h) (* D D))
31.3b
(+ (/ (* c0 (* d d)) (* (* (* w h) D) D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
97×add-exp-log add-cbrt-cube
55×prod-exp cbrt-unprod
28×pow1
16×pow-prod-down
15×cbrt-undiv div-exp
6×*-un-lft-identity add-log-exp
4×add-sqr-sqrt add-cube-cbrt
2×sqrt-div associate-*r* associate-*l* frac-add *-commutative
1×+-commutative flip3-- frac-2neg flip3-+ times-frac clear-num associate-/r* sum-log flip-- flip-+ div-inv distribute-lft-out associate-/l*
Counts
4 → 101
Calls
4 calls:
12.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
7.0ms
(* (* w h) (* D D))
7.0ms
(* (* w h) (* D D))
32.0ms
(+ (/ (* c0 (* d d)) (* (* (* w h) D) D)) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series159.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
14.0ms
(* (* w h) (* D D))
14.0ms
(* (* w h) (* D D))
100.0ms
(+ (/ (* 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
113 → 113
Iterations

Useful iterations: 1 (15.0ms)

IterNodesCost
06081387
140171071
250011071

prune73.0ms

Filtered
47 candidates to 113 candidates (-140.4%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New1112113
Fresh044
Picked101
Done011
Total1127119

Merged error: 29.7b

Counts
119 → 7

regimes828.0ms

Accuracy

0% (2.8b remaining)

Error of 33.5b against oracle of 30.7b and baseline of 33.5b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

analyze5.7s

Algorithm
search
sampling

Space saved by range analysis: 0.292611%

Space saved by search: 4.090061%

Guaranteed chance to sample good point: 0%

sample5.3s

Algorithm
intervals
Results
1.3s2296×body5120valid
914.0ms11924×body80nan
795.0ms1691×body2560valid
346.0ms548×body5120exit
330.0ms4194×body80invalid
326.0ms868×body1280valid
191.0ms2442×body80valid
127.0ms415×body640valid
42.0ms188×body320valid
26.0ms56×body2560invalid
23.0ms62×body1280invalid
16.0ms48×body640invalid
15.0ms100×body160valid
8.0ms37×body320invalid
3.0ms5×body5120invalid
1.0ms9×body160invalid

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