Details

Time bar (total: 6.0s)

sample95.0ms

Algorithm
intervals
Results
55.0ms263×body80valid
5.0msbody1280valid
3.0msbody640valid
2.0msbody320valid

simplify5.1s

Counts
1 → 1
Iterations

Useful iterations: 4 (158.0ms)

IterNodesCost
02129
15029
29529
320729
449928
5120928
6480728
done500028

prune17.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.2b

localize50.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
0.0b
(* K (+ m n))
0.0b
(pow (- (/ (+ m n) 2.0) M) 2.0)
33.6b
(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite721.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
40×*-un-lft-identity
30×prod-diff
29×add-cube-cbrt
23×cos-sum
12×unpow-prod-down
11×associate-+r+ times-frac
10×fma-def
add-log-exp
pow1 add-exp-log
add-cbrt-cube
expm1-log1p-u associate-*r* log1p-expm1-u difference-of-squares
pow-unpow associate-*l* div-inv distribute-lft-out distribute-lft-out--
sub-neg flip3-+ associate-*r/ sum-log flip-+ sqr-pow
+-commutative distribute-rgt-in cos-diff pow-to-exp associate-+r- pow-pow distribute-lft-in diff-log pow-prod-down pow-exp prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 118
Calls
4 calls:
556.0ms
(+ (pow (- (/ (+ m n) 2.0) M) 2.0) (- l (fabs (- m n))))
23.0ms
(* K (+ m n))
85.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
51.0ms
(cos (- (/ (* K (+ m n)) 2.0) M))

series26.0ms