Details

Time bar (total: 4.6s)

sample474.0ms

Algorithm
intervals
Results
163.0ms79×body5120valid
70.0ms36×body1280valid
60.0ms401×body80nan
52.0ms58×body2560valid
27.0ms188×body80valid
23.0ms19×body10240exit
8.0ms12×body640valid
2.0msbody320valid
2.0msbody160valid

simplify2.8s

Counts
1 → 1
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02152
16052
229550
3326950
done500045

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 58.6b

localize32.0ms

Local error

Found 4 expressions with local error:

18.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
18.7b
(/ (* c0 (* d d)) (* (* w h) (* D D)))
30.0b
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

rewrite1.2s

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:
65.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
75.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
54.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
1.0s
(+ (/ (* 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