Details

Time bar (total: 4.4s)

sample397.0ms

Algorithm
intervals
Results
120.0ms61×body2560valid
68.0ms61×body5120valid
58.0ms392×body80nan
29.0ms202×body80valid
28.0ms39×body1280valid
22.0ms19×body10240exit
7.0ms12×body640valid
1.0msbody320valid
1.0msbody160valid

simplify2.9s

Counts
1 → 1
Iterations

Useful iterations: done (2.9s)

IterNodesCost
02152
16052
229550
3326950
done500045

prune18.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 56.8b

localize33.0ms

Local error

Found 4 expressions with local error:

16.1b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
16.1b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
24.9b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.1s

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
add-sqr-sqrt add-cube-cbrt fma-def
pow1 expm1-log1p-u times-frac log1p-expm1-u div-inv
frac-2neg clear-num associate-/r* associate-/l*
sqrt-div frac-add
+-commutative flip3-- flip3-+ sum-log flip-- flip-+ distribute-lft-out
Counts
4 → 156
Calls
4 calls:
47.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
53.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
63.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
889.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series1.0ms