Details

Time bar (total: 4.8s)

sample584.0ms

Algorithm
intervals
Results
351.0ms1130×body80nan
122.0ms390×body80valid

simplify4.0s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02235
15435
217435
371735
4458035
done500035

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.1b

localize55.0ms

Local error

Found 4 expressions with local error:

5.3b
(* (* (pow (/ d h) (/ 1.0 2.0)) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
9.8b
(pow (/ d h) (/ 1.0 2.0))
13.5b
(pow (/ d l) (/ 1.0 2.0))
13.7b
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
205×add-exp-log
107×prod-exp
55×div-exp
45×times-frac
42×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
40×pow-exp
30×add-cbrt-cube
26×unpow-prod-down pow-unpow
16×associate-*r*
14×pow-to-exp
13×cbrt-unprod
10×pow1
prod-diff
cbrt-undiv distribute-rgt-in distribute-lft-in div-inv
expm1-log1p-u log1p-expm1-u add-log-exp
associate-*r/ associate-*l/
sub-neg pow-pow associate-*l* pow-prod-down *-commutative sqr-pow
frac-times flip3-- flip--
Counts
4 → 190
Calls
4 calls:
94.0ms
(* (* (pow (/ d h) (/ 1.0 2.0)) (pow (/ d l) (/ 1.0 2.0))) (- 1.0 (* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))))
8.0ms
(pow (/ d h) (/ 1.0 2.0))
9.0ms
(pow (/ d l) (/ 1.0 2.0))
83.0ms
(* (* (/ 1.0 2.0) (pow (/ (* M D) (* 2.0 d)) 2.0)) (/ h l))

series1.0ms