Details

Time bar (total: 780.0ms)

sample23.0ms

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

simplify428.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01013
12013
23313
35113
47013
512113
615913
721013
824613
930913
1040913
1142813
1244013
1345213
done45213

prune2.0ms

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)

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
104×*-un-lft-identity
50×times-frac
47×add-sqr-sqrt
34×distribute-lft-out
31×fma-def
25×add-cube-cbrt
11×distribute-lft-out-- difference-of-squares
associate-/r* associate-/l*
add-exp-log associate-/r/ add-cbrt-cube add-log-exp
flip3-+ flip-+
pow1 expm1-log1p-u div-sub log1p-expm1-u div-inv associate-/l/
cbrt-undiv +-commutative associate-+l- flip3-- frac-2neg div-exp clear-num sum-log flip--
Counts
2 → 100
Calls
2 calls:
25.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
94.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series108.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
60.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

simplify86.0ms

Iterations

Useful iterations: 1 (26.0ms)

IterNodesCost
01281178
13361110