Details

Time bar (total: 3.0s)

analyze1.9s

Algorithm
search
Search
TrueOtherFalseIter
0%99.7%0.3%0
0%99.7%0.3%1
0%99.7%0.3%2
0%99.7%0.3%3
0%99.7%0.3%4
0%99.7%0.3%5
0%99.7%0.3%6
0%99.7%0.3%7
0%99.7%0.3%8
0%99.7%0.3%9
0%99.7%0.3%10
0%99.7%0.3%11
0%99.7%0.3%12
0%98.1%1.9%13
0%98.1%1.9%14

sample179.0ms

Algorithm
intervals
Results
39.0ms65×body5120valid
29.0ms366×body80nan
23.0ms48×body2560valid
14.0ms31×body1280valid
11.0ms129×body80invalid
9.0ms15×body640valid
7.0ms11×body5120exit
7.0ms86×body80valid
2.0msbody320valid
2.0msbody1280invalid
1.0msbody2560invalid
1.0msbody640invalid
0.0msbody160valid
0.0msbody320invalid
0.0msbody160invalid

simplify36.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
0551542

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 59.5b

Counts
2 → 2

localize20.0ms

Local error

Found 4 expressions with local error:

20.5b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.5b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
20.5b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.6b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
211×add-exp-log add-cbrt-cube
117×prod-exp cbrt-unprod
45×cbrt-undiv div-exp
*-un-lft-identity add-log-exp
pow1 add-sqr-sqrt add-cube-cbrt
frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
sqrt-div frac-add
+-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)))
13.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
14.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
43.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series187.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
31.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
29.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
97.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

simplify62.0ms

Algorithm
egg-herbie
Counts
155 → 155
Iterations

Useful iterations: 0 (46.0ms)

IterNodesCost
049542695
149542695

prune338.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1487155
Fresh101
Picked011
Done000
Total1498157

Merged error: 36.2b

Counts
157 → 8

localize5.0ms

Local error

Found 1 expressions with local error:

5.4b
(* (/ c0 (* 2.0 w)) 0)

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
associate-*l*
add-sqr-sqrt
add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod
pow1 times-frac associate-*r*
cbrt-undiv div-exp
pow-prod-down associate-*l/ *-commutative mul0-rgt 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)

simplify41.0ms

Algorithm
egg-herbie
Counts
31 → 31
Iterations

Useful iterations: 0 (38.0ms)

IterNodesCost
0517678

prune75.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New30131
Fresh066
Picked101
Done011
Total31839

Merged error: 34.1b

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

prune0.0ms

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