Details

Time bar (total: 3.2s)

sample104.0ms

Algorithm
intervals
Results
30.0ms17×body1280valid
29.0ms203×body80valid
12.0ms256×pre80true
9.0ms16×body640valid
5.0ms13×body160valid
2.0msbody320valid

simplify128.0ms

Calls
1 calls:
Slowest
128.0ms
(/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2.0)) 1.0) 2.0)

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 24.8b

localize27.0ms

Local error

Found 3 expressions with local error:

22.0b
(/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i)))
3.0b
(+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2.0)) 1.0)
0.1b
(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2.0))

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
7702×*-un-lft-identity
4214×distribute-lft-out
3666×times-frac
1502×associate-*l*
1412×add-sqr-sqrt
900×add-cube-cbrt
894×fma-def
640×associate-*r*
141×associate-/l*
128×*-commutative distribute-lft-out-- difference-of-squares unswap-sqr
49×associate-/l/
40×associate-/r/
27×flip3-+ flip-+
22×associate-/r*
20×div-inv
17×add-cbrt-cube add-exp-log
frac-times
cbrt-undiv div-exp
flip3-- flip--
add-log-exp
associate-*l/ associate-*r/
expm1-log1p-u pow1 clear-num frac-2neg insert-posit16 log1p-expm1-u
prod-exp cbrt-unprod
+-commutative sum-log
Calls
3 calls:
Slowest
1.2s
(+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2.0)) 1.0)
321.0ms
(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2.0))
113.0ms
(/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i)))

series1.2s

Calls
3 calls:
Slowest
797.0ms
(+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2.0)) 1.0)
304.0ms
(/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i))) (+ (+ (+ alpha beta) (* 2 i)) 2.0))
118.0ms
(/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2 i)))