Details

Time bar (total: 989.0ms)

sample52.0ms

Algorithm
intervals
Results
12.0ms190×body80valid
8.0ms25×body1280valid
7.0ms256×pre80true
5.0ms18×body640valid
2.0ms13×body320valid
1.0ms10×body160valid

simplify618.0ms

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
2.3b
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

rewrite265.0ms

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:
58.0ms
(/ (- beta alpha) (+ (+ alpha beta) 2.0))
201.0ms
(+ (/ (- beta alpha) (+ (+ alpha beta) 2.0)) 1.0)

series40.0ms