Details

Time bar (total: 1.2s)

sample59.0ms

Algorithm
intervals
Results
17.0ms188×body80valid
8.0ms25×body1280valid
7.0ms256×pre80true
7.0ms26×body640valid
2.0ms11×body320valid
1.0msbody160valid

simplify712.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
12013
23413
35213
47313
511813
616113
719913
823013
926813
1029613
1130713
1231913
1332313
done32313

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
1.7b
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite356.0ms

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:
68.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
279.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series51.0ms