Details

Time bar (total: 4.3s)

sample811.0ms

Algorithm
intervals
Results
99.0ms392×body80nan
69.0ms61×body5120valid
59.0ms61×body2560valid
36.0ms19×body10240exit
26.0ms202×body80valid
26.0ms39×body1280valid
6.0ms12×body640valid
2.0msbody320valid
1.0msbody160valid

simplify2.2s

Counts
1 → 1
Iterations

Useful iterations: done (2.2s)

IterNodesCost
02152
15952
228952
3322752
done500046

prune25.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 57.2b

localize31.0ms

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))))

rewrite1.3s

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:
66.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
88.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
90.0ms
(/ (* 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