Details

Time bar (total: 4.2s)

sample440.0ms

Algorithm
intervals
Results
94.0ms79×body5120valid
93.0ms401×body80nan
79.0ms188×body80valid
52.0ms58×body2560valid
28.0ms36×body1280valid
23.0ms19×body10240exit
7.0ms12×body640valid
2.0msbody320valid
2.0msbody160valid

simplify2.5s

Counts
1 → 1
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02152
15952
228952
3322752
done500046

prune21.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 59.2b

localize45.0ms

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
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:
87.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
48.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
68.0ms
(/ (* c0 (* d d)) (* (* w h) (* D D)))
939.0ms
(+ (/ (* c0 (* d d)) (* (* w h) (* D D))) (sqrt (- (* (/ (* c0 (* d d)) (* (* w h) (* D D))) (/ (* c0 (* d d)) (* (* w h) (* D D)))) (* M M))))

series0.0ms