Details

Time bar (total: 3.2s)

sample50.0ms

Algorithm
intervals
Results
12.0ms17×body1280valid
11.0ms189×body80valid
6.0ms256×pre80true
5.0ms22×body640valid
3.0ms16×body320valid
1.0ms12×body160valid

simplify3.0s

Counts
1 → 1
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
01529
13129
210627
347726
4227026
done500126

prune14.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 15.6b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ alpha beta) (fma 2.0 i (+ alpha beta)))
0.0b
(/ (- beta alpha) (+ (fma 2.0 i (+ alpha beta)) 2.0))
3.2b
(fma (/ (- beta alpha) (+ (fma 2.0 i (+ alpha beta)) 2.0)) (/ (+ alpha beta) (fma 2.0 i (+ alpha beta))) 1.0)

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
53×*-un-lft-identity
33×add-sqr-sqrt
32×times-frac
23×add-cube-cbrt
10×distribute-lft-out
associate-/l*
add-exp-log associate-/r* add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l/
pow1 expm1-log1p-u log1p-expm1-u add-log-exp
cbrt-undiv frac-2neg flip3-+ div-exp clear-num associate-/r/ flip-+ div-inv
flip3-- div-sub flip-- fma-udef
Counts
3 → 93
Calls
3 calls:
25.0ms
(/ (+ alpha beta) (fma 2.0 i (+ alpha beta)))
25.0ms
(/ (- beta alpha) (+ (fma 2.0 i (+ alpha beta)) 2.0))
0.0ms
(fma (/ (- beta alpha) (+ (fma 2.0 i (+ alpha beta)) 2.0)) (/ (+ alpha beta) (fma 2.0 i (+ alpha beta))) 1.0)

series9.0ms