Details

Time bar (total: 890.0ms)

sample225.0ms

Algorithm
intervals
Results
205.0ms256×pre80true
5.0ms190×body80valid
3.0ms29×body1280valid
1.0ms15×body640valid
1.0ms14×body320valid
0.0msbody160valid

simplify363.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01013
12013
23313
35113
47013
512113
614813
718913
822513
928813
1036013
1137813
1239013
1340213
done40213

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.4b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
2.1b
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
58×*-un-lft-identity
26×add-sqr-sqrt
25×times-frac
19×distribute-lft-out
14×add-cube-cbrt
distribute-lft-out-- difference-of-squares
associate-/r* associate-/l*
add-exp-log add-cbrt-cube add-log-exp
pow1 flip3-+ div-sub associate-/r/ flip-+ associate-/l/
cbrt-undiv +-commutative associate-+l- flip3-- frac-2neg div-exp clear-num sum-log flip-- div-inv
Counts
2 → 65
Calls
2 calls:
22.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
81.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series105.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
61.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify78.0ms

Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
01241134
13211074