Details

Time bar (total: 11.2s)

sample72.0ms

Algorithm
intervals
Results
22.0ms295×body80valid
18.0ms106×body80nan

simplify8.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
017538
136538
279538
3161538
4373538
51444538
64397538
done5002538

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize50.0ms

Local error

Found 4 expressions with local error:

3.1b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
5.2b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
7.6b
(/ (* M D) (* 2.0 d))
13.0b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite75.0ms

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×*-un-lft-identity add-cube-cbrt
14×times-frac
12×associate-*l*
10×pow-exp
unswap-sqr
pow1 unpow-prod-down sqrt-prod cbrt-unprod
cbrt-undiv
sqrt-div add-log-exp
associate-*r/ div-inv sqr-pow
pow-to-exp flip3-- *-commutative flip--
rem-sqrt-square clear-num associate-/r* frac-2neg sqrt-pow1 pow1/2 pow-prod-down associate-/l*
Counts
4 → 113
Calls
4 calls:
22.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
7.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
10.0ms
(/ (* M D) (* 2.0 d))
31.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series2.2s

Counts
4 → 12
Calls
4 calls:
587.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
619.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
35.0ms
(/ (* M D) (* 2.0 d))
990.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify192.0ms

Iterations

Useful iterations: 0 (41.0ms)

IterNodesCost
023662082