Details

Time bar (total: 6.7s)

sample80.0ms

Algorithm
intervals
Results
38.0ms302×body80valid
9.0ms85×body80nan

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01718
13618
28118
318018
443218
5122118
6469218
done500018

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.6b

localize24.0ms

Local error

Found 4 expressions with local error:

2.9b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
3.1b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.9b
(/ (* M D) (* 2.0 d))
11.4b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
35×add-sqr-sqrt
27×prod-exp
23×add-cbrt-cube
19×div-exp associate-*r*
17×add-cube-cbrt *-un-lft-identity
14×times-frac
12×associate-*l*
10×pow-exp
unswap-sqr
pow1 unpow-prod-down sqrt-prod cbrt-unprod
cbrt-undiv
expm1-log1p-u sqrt-div log1p-expm1-u add-log-exp
associate-*r/ div-inv sqr-pow
pow-to-exp flip3-- *-commutative flip--
rem-sqrt-square frac-2neg sqrt-pow1 pow1/2 pow-prod-down clear-num associate-/r* associate-/l*
Counts
4 → 121
Calls
4 calls:
28.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
8.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
14.0ms
(/ (* M D) (* 2.0 d))
70.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series1.0ms