Details

Time bar (total: 1.7s)

sample42.0ms

Algorithm
intervals
Results
20.0ms259×body80valid
2.0ms6×body640valid
1.0ms4×body320valid
1.0ms1×body2560valid
0.0ms1×body1280valid

simplify943.0ms

Counts
1 → 1
Iterations

Useful iterations: 4 (65.0ms)

IterNodesCost
02129
15029
29429
321229
449628
5157728
done500128

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 14.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* K (+ m n)) 2.0) M)
0.0b
(pow (- (/ (+ m n) 2.0) M) 2.0)
35.4b
(cos (- (/ (* K (+ m n)) 2.0) M))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
42×prod-diff
40×add-sqr-sqrt
37×*-un-lft-identity
33×add-cube-cbrt
23×cos-sum
22×times-frac
7×fma-neg div-inv
6×unpow-prod-down
5×add-log-exp
4×pow1 add-exp-log
3×expm1-log1p-u pow-unpow add-cbrt-cube log1p-expm1-u difference-of-squares
2×sub-neg distribute-lft-out--
1×cos-diff pow-to-exp flip3-- pow-pow diff-log pow-exp flip-- sqr-pow
Counts
3 → 99
Calls
3 calls:
11.0ms
(- (/ (* K (+ m n)) 2.0) M)
32.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
23.0ms
(cos (- (/ (* K (+ m n)) 2.0) M))

series572.0ms

Counts
3 → 9
Calls
3 calls:
247.0ms
(- (/ (* K (+ m n)) 2.0) M)
268.0ms
(pow (- (/ (+ m n) 2.0) M) 2.0)
57.0ms
(cos (- (/ (* K (+ m n)) 2.0) M))

simplify49.0ms

Iterations

Useful iterations: 0 (8.0ms)

IterNodesCost
02682992