Details

Time bar (total: 12.1s)

analyze1.9s

Algorithm
search

sample185.0ms

Algorithm
intervals
Results
38.0ms62×body5120valid
35.0ms66×body2560valid
27.0ms338×body80nan
18.0ms32×body1280valid
11.0ms138×body80invalid
9.0ms13×body5120exit
6.0ms73×body80valid
3.0ms11×body640valid
2.0ms8×body320valid
2.0ms4×body1280invalid
1.0ms4×body160valid
0.0ms1×body640invalid

simplify112.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
05926
129826
2339826
3500226

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.4b

Counts
2 → 1

localize20.0ms

Local error

Found 4 expressions with local error:

18.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
26.7b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite81.0ms

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:
14.0ms
(/ (* 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)))
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))))

series192.0ms

Counts
4 → 12
Calls
4 calls:
32.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
99.0ms
(+ (/ (* 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

prune163.0ms

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

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1469155
Fresh000
Picked101
Done000
Total1479156

Merged error: 32.8b

Counts
156 → 9

localize5.0ms

Local error

Found 1 expressions with local error:

5.7b
(* (/ 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)

simplify288.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 2 (284.0ms)

IterNodesCost
017632
1185916
250016

prune73.0ms

Filtered
19 candidates to 31 candidates (-63.2%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New30131
Fresh088
Picked101
Done000
Total31940

Merged error: 30.4b

Counts
40 → 9

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

prune43.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New000
Fresh088
Picked011
Done000
Total099

Merged error: 30.4b

Counts
9 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

18.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.9b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
19.0b
(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
29.4b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))) (* M M))))

rewrite94.0ms

Algorithm
rewrite-expression-head
Rules
373×add-exp-log
246×prod-exp
235×add-cbrt-cube
138×cbrt-unprod
60×div-exp
45×cbrt-undiv
15×rec-exp 1-exp
13×pow1
8×*-un-lft-identity
7×associate-*r*
6×add-sqr-sqrt add-cube-cbrt pow-prod-down add-log-exp
5×times-frac
3×div-inv
2×frac-2neg sqrt-div frac-add clear-num associate-/r* associate-/l*
1×+-commutative flip3-- flip3-+ associate-*r/ associate-*l* sum-log un-div-inv *-commutative flip-- flip-+ distribute-lft-out
Counts
4 → 187
Calls
4 calls:
12.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
12.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
17.0ms
(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
38.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))) (* M M))))

series195.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
33.0ms
(* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))
101.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (* (* c0 (* d d)) (/ 1 (* (* w h) (* D D))))) (* M M))))

simplify51.0ms

Algorithm
egg-herbie
Counts
199 → 199
Iterations

Useful iterations: 1 (24.0ms)

IterNodesCost
010232541
150011838

prune98.0ms

Filtered
56 candidates to 199 candidates (-255.4%)
Pruning

8 alts after pruning (6 fresh and 2 done)

PrunedKeptTotal
New1972199
Fresh347
Picked011
Done011
Total2008208

Merged error: 29.7b

Counts
208 → 8

regimes856.0ms

Accuracy

0% (3.0b remaining)

Error of 33.7b against oracle of 30.7b and baseline of 33.7b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
010

end0.0ms

analyze1.9s

Algorithm
search

sample5.7s

Algorithm
intervals
Results
1.4s2287×body5120valid
1.0s12709×body80nan
842.0ms1712×body2560valid
405.0ms617×body5120exit
360.0ms4365×body80invalid
350.0ms862×body1280valid
200.0ms2401×body80valid
137.0ms438×body640valid
50.0ms204×body320valid
26.0ms67×body1280invalid
15.0ms50×body640invalid
15.0ms96×body160valid
13.0ms26×body2560invalid
7.0ms31×body320invalid
3.0ms18×body160invalid
2.0ms4×body5120invalid

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