62.345 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.075 * * * [progress]: [2/2] Setting up program.
0.083 * [progress]: [Phase 2 of 3] Improving.
0.084 * [simplify]: Simplifying:
  (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0) 2.0)
0.084 * * [simplify]: iteration 0: 15 enodes
0.090 * * [simplify]: iteration 1: 31 enodes
0.105 * * [simplify]: iteration 2: 97 enodes
0.214 * * [simplify]: iteration 3: 446 enodes
1.244 * * [simplify]: iteration 4: 2175 enodes
3.623 * * [simplify]: iteration complete: 5008 enodes
3.623 * * [simplify]: Extracting #0: cost 1 inf + 0
3.623 * * [simplify]: Extracting #1: cost 7 inf + 0
3.623 * * [simplify]: Extracting #2: cost 13 inf + 1
3.623 * * [simplify]: Extracting #3: cost 73 inf + 3
3.625 * * [simplify]: Extracting #4: cost 387 inf + 47
3.631 * * [simplify]: Extracting #5: cost 1217 inf + 1692
3.649 * * [simplify]: Extracting #6: cost 1230 inf + 38649
3.722 * * [simplify]: Extracting #7: cost 289 inf + 193164
3.951 * * [simplify]: Extracting #8: cost 11 inf + 259381
4.092 * * [simplify]: Extracting #9: cost 0 inf + 262946
4.292 * [simplify]: Simplified to:
  (/ (+ 1.0 (* (/ (+ alpha beta) (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (- beta alpha))) 2.0)
4.293 * * [progress]: iteration 1 / 4
4.294 * * * [progress]: picking best candidate
4.302 * * * * [pick]: Picked  #<alt (λ (alpha beta i) (/ (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0) 2.0))>
4.302 * * * [progress]: localizing error
4.352 * * * [progress]: generating rewritten candidates
4.352 * * * * [progress]: [ 1 / 3 ] rewriting at (2 1 1 1)
4.492 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
5.742 * * * * [progress]: [ 3 / 3 ] rewriting at (2 1 1)
6.367 * * * [progress]: generating series expansions
6.367 * * * * [progress]: [ 1 / 3 ] generating series at (2 1 1 1)
6.371 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) into (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta)))
6.371 * [approximate]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in (alpha beta i) around 0
6.371 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in i
6.372 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
6.372 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
6.372 * [taylor]: Taking taylor expansion of alpha in i
6.372 * [backup-simplify]: Simplify alpha into alpha
6.372 * [taylor]: Taking taylor expansion of beta in i
6.372 * [backup-simplify]: Simplify beta into beta
6.372 * [taylor]: Taking taylor expansion of (- beta alpha) in i
6.372 * [taylor]: Taking taylor expansion of beta in i
6.372 * [backup-simplify]: Simplify beta into beta
6.372 * [taylor]: Taking taylor expansion of alpha in i
6.372 * [backup-simplify]: Simplify alpha into alpha
6.372 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
6.372 * [taylor]: Taking taylor expansion of alpha in i
6.372 * [backup-simplify]: Simplify alpha into alpha
6.372 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
6.372 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
6.372 * [taylor]: Taking taylor expansion of 2.0 in i
6.372 * [backup-simplify]: Simplify 2.0 into 2.0
6.372 * [taylor]: Taking taylor expansion of i in i
6.372 * [backup-simplify]: Simplify 0 into 0
6.372 * [backup-simplify]: Simplify 1 into 1
6.372 * [taylor]: Taking taylor expansion of beta in i
6.372 * [backup-simplify]: Simplify beta into beta
6.372 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
6.372 * [backup-simplify]: Simplify (- alpha) into (- alpha)
6.372 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
6.373 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
6.379 * [backup-simplify]: Simplify (* 2.0 0) into 0
6.379 * [backup-simplify]: Simplify (+ 0 beta) into beta
6.379 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
6.379 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (+ alpha beta)) into (- beta alpha)
6.379 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in beta
6.379 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
6.379 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
6.379 * [taylor]: Taking taylor expansion of alpha in beta
6.379 * [backup-simplify]: Simplify alpha into alpha
6.379 * [taylor]: Taking taylor expansion of beta in beta
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify 1 into 1
6.379 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
6.379 * [taylor]: Taking taylor expansion of beta in beta
6.379 * [backup-simplify]: Simplify 0 into 0
6.379 * [backup-simplify]: Simplify 1 into 1
6.380 * [taylor]: Taking taylor expansion of alpha in beta
6.380 * [backup-simplify]: Simplify alpha into alpha
6.380 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
6.380 * [taylor]: Taking taylor expansion of alpha in beta
6.380 * [backup-simplify]: Simplify alpha into alpha
6.380 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
6.380 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
6.380 * [taylor]: Taking taylor expansion of 2.0 in beta
6.380 * [backup-simplify]: Simplify 2.0 into 2.0
6.380 * [taylor]: Taking taylor expansion of i in beta
6.380 * [backup-simplify]: Simplify i into i
6.380 * [taylor]: Taking taylor expansion of beta in beta
6.380 * [backup-simplify]: Simplify 0 into 0
6.380 * [backup-simplify]: Simplify 1 into 1
6.380 * [backup-simplify]: Simplify (+ alpha 0) into alpha
6.380 * [backup-simplify]: Simplify (- alpha) into (- alpha)
6.380 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
6.380 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
6.380 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
6.380 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
6.380 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
6.381 * [backup-simplify]: Simplify (/ (* -1 (pow alpha 2)) (+ alpha (* 2.0 i))) into (* -1 (/ (pow alpha 2) (+ alpha (* 2.0 i))))
6.381 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in alpha
6.381 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
6.381 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
6.381 * [taylor]: Taking taylor expansion of alpha in alpha
6.381 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify 1 into 1
6.381 * [taylor]: Taking taylor expansion of beta in alpha
6.381 * [backup-simplify]: Simplify beta into beta
6.381 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
6.381 * [taylor]: Taking taylor expansion of beta in alpha
6.381 * [backup-simplify]: Simplify beta into beta
6.381 * [taylor]: Taking taylor expansion of alpha in alpha
6.381 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify 1 into 1
6.381 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
6.381 * [taylor]: Taking taylor expansion of alpha in alpha
6.381 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify 1 into 1
6.381 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
6.381 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
6.381 * [taylor]: Taking taylor expansion of 2.0 in alpha
6.381 * [backup-simplify]: Simplify 2.0 into 2.0
6.381 * [taylor]: Taking taylor expansion of i in alpha
6.381 * [backup-simplify]: Simplify i into i
6.381 * [taylor]: Taking taylor expansion of beta in alpha
6.381 * [backup-simplify]: Simplify beta into beta
6.381 * [backup-simplify]: Simplify (+ 0 beta) into beta
6.382 * [backup-simplify]: Simplify (- 0) into 0
6.382 * [backup-simplify]: Simplify (+ beta 0) into beta
6.382 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
6.382 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
6.383 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
6.383 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
6.383 * [backup-simplify]: Simplify (/ (pow beta 2) (+ (* 2.0 i) beta)) into (/ (pow beta 2) (+ (* 2.0 i) beta))
6.383 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (+ alpha (+ (* 2.0 i) beta))) in alpha
6.383 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
6.383 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
6.383 * [taylor]: Taking taylor expansion of alpha in alpha
6.383 * [backup-simplify]: Simplify 0 into 0
6.383 * [backup-simplify]: Simplify 1 into 1
6.383 * [taylor]: Taking taylor expansion of beta in alpha
6.384 * [backup-simplify]: Simplify beta into beta
6.384 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
6.384 * [taylor]: Taking taylor expansion of beta in alpha
6.384 * [backup-simplify]: Simplify beta into beta
6.384 * [taylor]: Taking taylor expansion of alpha in alpha
6.384 * [backup-simplify]: Simplify 0 into 0
6.384 * [backup-simplify]: Simplify 1 into 1
6.384 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
6.384 * [taylor]: Taking taylor expansion of alpha in alpha
6.384 * [backup-simplify]: Simplify 0 into 0
6.384 * [backup-simplify]: Simplify 1 into 1
6.384 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
6.384 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
6.384 * [taylor]: Taking taylor expansion of 2.0 in alpha
6.384 * [backup-simplify]: Simplify 2.0 into 2.0
6.384 * [taylor]: Taking taylor expansion of i in alpha
6.384 * [backup-simplify]: Simplify i into i
6.384 * [taylor]: Taking taylor expansion of beta in alpha
6.384 * [backup-simplify]: Simplify beta into beta
6.384 * [backup-simplify]: Simplify (+ 0 beta) into beta
6.385 * [backup-simplify]: Simplify (- 0) into 0
6.385 * [backup-simplify]: Simplify (+ beta 0) into beta
6.385 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
6.385 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
6.385 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
6.385 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
6.385 * [backup-simplify]: Simplify (/ (pow beta 2) (+ (* 2.0 i) beta)) into (/ (pow beta 2) (+ (* 2.0 i) beta))
6.385 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (+ (* 2.0 i) beta)) in beta
6.385 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
6.385 * [taylor]: Taking taylor expansion of beta in beta
6.385 * [backup-simplify]: Simplify 0 into 0
6.385 * [backup-simplify]: Simplify 1 into 1
6.386 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
6.386 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
6.386 * [taylor]: Taking taylor expansion of 2.0 in beta
6.386 * [backup-simplify]: Simplify 2.0 into 2.0
6.386 * [taylor]: Taking taylor expansion of i in beta
6.386 * [backup-simplify]: Simplify i into i
6.386 * [taylor]: Taking taylor expansion of beta in beta
6.386 * [backup-simplify]: Simplify 0 into 0
6.386 * [backup-simplify]: Simplify 1 into 1
6.386 * [backup-simplify]: Simplify (* 1 1) into 1
6.386 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
6.386 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
6.386 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
6.389 * [backup-simplify]: Simplify (- 1) into -1
6.390 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.390 * [backup-simplify]: Simplify (+ 1 0) into 1
6.391 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
6.391 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
6.391 * [backup-simplify]: Simplify (+ 0 0) into 0
6.392 * [backup-simplify]: Simplify (+ 1 0) into 1
6.403 * [backup-simplify]: Simplify (- (/ 0 (+ (* 2.0 i) beta)) (+ (* (/ (pow beta 2) (+ (* 2.0 i) beta)) (/ 1 (+ (* 2.0 i) beta))))) into (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2)))
6.403 * [taylor]: Taking taylor expansion of (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2))) in beta
6.403 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2)) in beta
6.403 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
6.403 * [taylor]: Taking taylor expansion of beta in beta
6.403 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify 1 into 1
6.403 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
6.403 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
6.403 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
6.403 * [taylor]: Taking taylor expansion of 2.0 in beta
6.403 * [backup-simplify]: Simplify 2.0 into 2.0
6.403 * [taylor]: Taking taylor expansion of i in beta
6.403 * [backup-simplify]: Simplify i into i
6.403 * [taylor]: Taking taylor expansion of beta in beta
6.403 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify 1 into 1
6.404 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
6.404 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
6.404 * [backup-simplify]: Simplify (* 1 1) into 1
6.404 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
6.405 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
6.405 * [backup-simplify]: Simplify (- 0) into 0
6.405 * [backup-simplify]: Simplify (+ 0 0) into 0
6.406 * [backup-simplify]: Simplify (+ 0 0) into 0
6.414 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
6.416 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
6.416 * [backup-simplify]: Simplify (+ 0 0) into 0
6.416 * [backup-simplify]: Simplify (+ 0 0) into 0
6.418 * [backup-simplify]: Simplify (- (/ (- 1) (+ (* 2.0 i) beta)) (+ (* (/ (pow beta 2) (+ (* 2.0 i) beta)) (/ 0 (+ (* 2.0 i) beta))) (* (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2))) (/ 1 (+ (* 2.0 i) beta))))) into (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 3)) (/ 1 (+ (* 2.0 i) beta)))
6.418 * [taylor]: Taking taylor expansion of (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 3)) (/ 1 (+ (* 2.0 i) beta))) in beta
6.418 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 3)) in beta
6.418 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
6.418 * [taylor]: Taking taylor expansion of beta in beta
6.418 * [backup-simplify]: Simplify 0 into 0
6.418 * [backup-simplify]: Simplify 1 into 1
6.418 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
6.418 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
6.418 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
6.418 * [taylor]: Taking taylor expansion of 2.0 in beta
6.427 * [backup-simplify]: Simplify 2.0 into 2.0
6.427 * [taylor]: Taking taylor expansion of i in beta
6.427 * [backup-simplify]: Simplify i into i
6.427 * [taylor]: Taking taylor expansion of beta in beta
6.427 * [backup-simplify]: Simplify 0 into 0
6.427 * [backup-simplify]: Simplify 1 into 1
6.427 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
6.427 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
6.427 * [backup-simplify]: Simplify (* 1 1) into 1
6.428 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
6.428 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
6.428 * [backup-simplify]: Simplify (/ 1 (* 8.0 (pow i 3))) into (/ 0.125 (pow i 3))
6.428 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) beta)) in beta
6.428 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
6.428 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
6.428 * [taylor]: Taking taylor expansion of 2.0 in beta
6.428 * [backup-simplify]: Simplify 2.0 into 2.0
6.428 * [taylor]: Taking taylor expansion of i in beta
6.428 * [backup-simplify]: Simplify i into i
6.428 * [taylor]: Taking taylor expansion of beta in beta
6.428 * [backup-simplify]: Simplify 0 into 0
6.428 * [backup-simplify]: Simplify 1 into 1
6.428 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
6.428 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
6.429 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
6.429 * [backup-simplify]: Simplify (- (/ 0.5 i)) into (- (* 0.5 (/ 1 i)))
6.429 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 i)))) into (- (* 0.5 (/ 1 i)))
6.429 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 i))) in i
6.429 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 i)) in i
6.429 * [taylor]: Taking taylor expansion of 0.5 in i
6.429 * [backup-simplify]: Simplify 0.5 into 0.5
6.429 * [taylor]: Taking taylor expansion of (/ 1 i) in i
6.429 * [taylor]: Taking taylor expansion of i in i
6.429 * [backup-simplify]: Simplify 0 into 0
6.429 * [backup-simplify]: Simplify 1 into 1
6.430 * [backup-simplify]: Simplify (/ 1 1) into 1
6.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.439 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 1)) into 0
6.440 * [backup-simplify]: Simplify (- 0) into 0
6.440 * [backup-simplify]: Simplify 0 into 0
6.440 * [taylor]: Taking taylor expansion of (/ 0.5 i) in i
6.440 * [taylor]: Taking taylor expansion of 0.5 in i
6.440 * [backup-simplify]: Simplify 0.5 into 0.5
6.440 * [taylor]: Taking taylor expansion of i in i
6.440 * [backup-simplify]: Simplify 0 into 0
6.440 * [backup-simplify]: Simplify 1 into 1
6.441 * [backup-simplify]: Simplify (/ 0.5 1) into 0.5
6.441 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 0.5 (/ 0 1)))) into 0
6.442 * [backup-simplify]: Simplify 0 into 0
6.442 * [backup-simplify]: Simplify (- 0) into 0
6.451 * [backup-simplify]: Simplify (+ 0 0) into 0
6.451 * [backup-simplify]: Simplify (+ 0 0) into 0
6.452 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
6.453 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
6.454 * [backup-simplify]: Simplify (+ 0 0) into 0
6.454 * [backup-simplify]: Simplify (+ 0 0) into 0
6.464 * [backup-simplify]: Simplify (- (/ 0 (+ (* 2.0 i) beta)) (+ (* (/ (pow beta 2) (+ (* 2.0 i) beta)) (/ 0 (+ (* 2.0 i) beta))) (* (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 2))) (/ 0 (+ (* 2.0 i) beta))) (* (- (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 3)) (/ 1 (+ (* 2.0 i) beta))) (/ 1 (+ (* 2.0 i) beta))))) into (- (/ 1 (pow (+ (* 2.0 i) beta) 2)) (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 4)))
6.464 * [taylor]: Taking taylor expansion of (- (/ 1 (pow (+ (* 2.0 i) beta) 2)) (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 4))) in beta
6.465 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 2.0 i) beta) 2)) in beta
6.465 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
6.465 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
6.465 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
6.465 * [taylor]: Taking taylor expansion of 2.0 in beta
6.465 * [backup-simplify]: Simplify 2.0 into 2.0
6.465 * [taylor]: Taking taylor expansion of i in beta
6.465 * [backup-simplify]: Simplify i into i
6.465 * [taylor]: Taking taylor expansion of beta in beta
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [backup-simplify]: Simplify 1 into 1
6.465 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
6.465 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
6.465 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
6.465 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
6.465 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (pow (+ (* 2.0 i) beta) 4)) in beta
6.465 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
6.465 * [taylor]: Taking taylor expansion of beta in beta
6.465 * [backup-simplify]: Simplify 0 into 0
6.465 * [backup-simplify]: Simplify 1 into 1
6.465 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
6.466 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
6.466 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
6.466 * [taylor]: Taking taylor expansion of 2.0 in beta
6.466 * [backup-simplify]: Simplify 2.0 into 2.0
6.466 * [taylor]: Taking taylor expansion of i in beta
6.466 * [backup-simplify]: Simplify i into i
6.466 * [taylor]: Taking taylor expansion of beta in beta
6.466 * [backup-simplify]: Simplify 0 into 0
6.466 * [backup-simplify]: Simplify 1 into 1
6.466 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
6.466 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
6.471 * [backup-simplify]: Simplify (* 1 1) into 1
6.471 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
6.471 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
6.471 * [backup-simplify]: Simplify (/ 1 (* 16.0 (pow i 4))) into (/ 0.0625 (pow i 4))
6.472 * [backup-simplify]: Simplify (+ (/ 0.25 (pow i 2)) 0) into (* 0.25 (/ 1 (pow i 2)))
6.472 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
6.472 * [taylor]: Taking taylor expansion of 0.25 in i
6.472 * [backup-simplify]: Simplify 0.25 into 0.25
6.472 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
6.472 * [taylor]: Taking taylor expansion of (pow i 2) in i
6.472 * [taylor]: Taking taylor expansion of i in i
6.472 * [backup-simplify]: Simplify 0 into 0
6.472 * [backup-simplify]: Simplify 1 into 1
6.472 * [backup-simplify]: Simplify (* 1 1) into 1
6.473 * [backup-simplify]: Simplify (/ 1 1) into 1
6.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.482 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
6.482 * [backup-simplify]: Simplify 0 into 0
6.482 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
6.487 * [backup-simplify]: Simplify (+ 0 1) into 1
6.487 * [backup-simplify]: Simplify (- (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
6.488 * [backup-simplify]: Simplify (- (- (* 0.25 (/ 1 (pow i 2))))) into (* 0.25 (/ 1 (pow i 2)))
6.488 * [backup-simplify]: Simplify (+ 0 (* 0.25 (/ 1 (pow i 2)))) into (* 0.25 (/ 1 (pow i 2)))
6.488 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
6.488 * [taylor]: Taking taylor expansion of 0.25 in i
6.488 * [backup-simplify]: Simplify 0.25 into 0.25
6.488 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
6.488 * [taylor]: Taking taylor expansion of (pow i 2) in i
6.488 * [taylor]: Taking taylor expansion of i in i
6.488 * [backup-simplify]: Simplify 0 into 0
6.488 * [backup-simplify]: Simplify 1 into 1
6.489 * [backup-simplify]: Simplify (* 1 1) into 1
6.489 * [backup-simplify]: Simplify (/ 1 1) into 1
6.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.497 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.498 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
6.498 * [backup-simplify]: Simplify 0 into 0
6.498 * [backup-simplify]: Simplify (- (/ 0.25 (pow i 2))) into (- (* 0.25 (/ 1 (pow i 2))))
6.498 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow i 2)))) in i
6.498 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
6.498 * [taylor]: Taking taylor expansion of 0.25 in i
6.498 * [backup-simplify]: Simplify 0.25 into 0.25
6.498 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
6.498 * [taylor]: Taking taylor expansion of (pow i 2) in i
6.502 * [taylor]: Taking taylor expansion of i in i
6.502 * [backup-simplify]: Simplify 0 into 0
6.502 * [backup-simplify]: Simplify 1 into 1
6.503 * [backup-simplify]: Simplify (* 1 1) into 1
6.503 * [backup-simplify]: Simplify (/ 1 1) into 1
6.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.505 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.512 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
6.512 * [backup-simplify]: Simplify (- 0) into 0
6.512 * [backup-simplify]: Simplify 0 into 0
6.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.522 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
6.523 * [backup-simplify]: Simplify (+ 0 1) into 1
6.523 * [backup-simplify]: Simplify (- (/ 0 (* 2.0 i)) (+ (* (/ 0.5 i) (/ 1 (* 2.0 i))))) into (- (* 0.25 (/ 1 (pow i 2))))
6.523 * [taylor]: Taking taylor expansion of (- (* 0.25 (/ 1 (pow i 2)))) in i
6.523 * [taylor]: Taking taylor expansion of (* 0.25 (/ 1 (pow i 2))) in i
6.523 * [taylor]: Taking taylor expansion of 0.25 in i
6.523 * [backup-simplify]: Simplify 0.25 into 0.25
6.523 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
6.523 * [taylor]: Taking taylor expansion of (pow i 2) in i
6.523 * [taylor]: Taking taylor expansion of i in i
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [backup-simplify]: Simplify 1 into 1
6.524 * [backup-simplify]: Simplify (* 1 1) into 1
6.524 * [backup-simplify]: Simplify (/ 1 1) into 1
6.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.528 * [backup-simplify]: Simplify (+ (* 0.25 0) (+ (* 0 0) (* 0 1))) into 0
6.529 * [backup-simplify]: Simplify (- 0) into 0
6.529 * [backup-simplify]: Simplify 0 into 0
6.529 * [backup-simplify]: Simplify 0 into 0
6.529 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) into (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))
6.529 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in (alpha beta i) around 0
6.529 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
6.529 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
6.529 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
6.529 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
6.529 * [taylor]: Taking taylor expansion of alpha in i
6.529 * [backup-simplify]: Simplify alpha into alpha
6.529 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.529 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
6.529 * [taylor]: Taking taylor expansion of beta in i
6.529 * [backup-simplify]: Simplify beta into beta
6.530 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.530 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
6.530 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
6.530 * [taylor]: Taking taylor expansion of beta in i
6.530 * [backup-simplify]: Simplify beta into beta
6.530 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.530 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
6.530 * [taylor]: Taking taylor expansion of alpha in i
6.530 * [backup-simplify]: Simplify alpha into alpha
6.530 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.530 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
6.530 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
6.530 * [taylor]: Taking taylor expansion of alpha in i
6.530 * [backup-simplify]: Simplify alpha into alpha
6.530 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.530 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
6.530 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
6.530 * [taylor]: Taking taylor expansion of 2.0 in i
6.530 * [backup-simplify]: Simplify 2.0 into 2.0
6.530 * [taylor]: Taking taylor expansion of (/ 1 i) in i
6.530 * [taylor]: Taking taylor expansion of i in i
6.530 * [backup-simplify]: Simplify 0 into 0
6.530 * [backup-simplify]: Simplify 1 into 1
6.531 * [backup-simplify]: Simplify (/ 1 1) into 1
6.531 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
6.531 * [taylor]: Taking taylor expansion of beta in i
6.531 * [backup-simplify]: Simplify beta into beta
6.531 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.531 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
6.531 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
6.531 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
6.531 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
6.532 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
6.543 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
6.543 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
6.543 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 2.0) into (* 0.5 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
6.544 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
6.544 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
6.544 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
6.544 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
6.544 * [taylor]: Taking taylor expansion of alpha in beta
6.544 * [backup-simplify]: Simplify alpha into alpha
6.544 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.544 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
6.544 * [taylor]: Taking taylor expansion of beta in beta
6.544 * [backup-simplify]: Simplify 0 into 0
6.544 * [backup-simplify]: Simplify 1 into 1
6.544 * [backup-simplify]: Simplify (/ 1 1) into 1
6.544 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
6.544 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
6.544 * [taylor]: Taking taylor expansion of beta in beta
6.544 * [backup-simplify]: Simplify 0 into 0
6.544 * [backup-simplify]: Simplify 1 into 1
6.545 * [backup-simplify]: Simplify (/ 1 1) into 1
6.545 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
6.545 * [taylor]: Taking taylor expansion of alpha in beta
6.545 * [backup-simplify]: Simplify alpha into alpha
6.545 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.545 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
6.545 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
6.545 * [taylor]: Taking taylor expansion of alpha in beta
6.545 * [backup-simplify]: Simplify alpha into alpha
6.545 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.545 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
6.545 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
6.545 * [taylor]: Taking taylor expansion of 2.0 in beta
6.545 * [backup-simplify]: Simplify 2.0 into 2.0
6.545 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
6.545 * [taylor]: Taking taylor expansion of i in beta
6.545 * [backup-simplify]: Simplify i into i
6.545 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.545 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
6.546 * [taylor]: Taking taylor expansion of beta in beta
6.546 * [backup-simplify]: Simplify 0 into 0
6.546 * [backup-simplify]: Simplify 1 into 1
6.546 * [backup-simplify]: Simplify (/ 1 1) into 1
6.553 * [backup-simplify]: Simplify (+ 0 1) into 1
6.553 * [backup-simplify]: Simplify (+ 1 0) into 1
6.554 * [backup-simplify]: Simplify (* 1 1) into 1
6.554 * [backup-simplify]: Simplify (+ 0 1) into 1
6.554 * [backup-simplify]: Simplify (+ 0 1) into 1
6.555 * [backup-simplify]: Simplify (/ 1 1) into 1
6.555 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
6.555 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
6.555 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
6.555 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.555 * [taylor]: Taking taylor expansion of alpha in alpha
6.555 * [backup-simplify]: Simplify 0 into 0
6.555 * [backup-simplify]: Simplify 1 into 1
6.555 * [backup-simplify]: Simplify (/ 1 1) into 1
6.556 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.556 * [taylor]: Taking taylor expansion of beta in alpha
6.556 * [backup-simplify]: Simplify beta into beta
6.556 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.556 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
6.556 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.556 * [taylor]: Taking taylor expansion of beta in alpha
6.556 * [backup-simplify]: Simplify beta into beta
6.556 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.556 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.556 * [taylor]: Taking taylor expansion of alpha in alpha
6.556 * [backup-simplify]: Simplify 0 into 0
6.556 * [backup-simplify]: Simplify 1 into 1
6.567 * [backup-simplify]: Simplify (/ 1 1) into 1
6.567 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
6.567 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.567 * [taylor]: Taking taylor expansion of alpha in alpha
6.567 * [backup-simplify]: Simplify 0 into 0
6.567 * [backup-simplify]: Simplify 1 into 1
6.567 * [backup-simplify]: Simplify (/ 1 1) into 1
6.567 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
6.567 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
6.567 * [taylor]: Taking taylor expansion of 2.0 in alpha
6.568 * [backup-simplify]: Simplify 2.0 into 2.0
6.568 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
6.568 * [taylor]: Taking taylor expansion of i in alpha
6.568 * [backup-simplify]: Simplify i into i
6.568 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.568 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.568 * [taylor]: Taking taylor expansion of beta in alpha
6.568 * [backup-simplify]: Simplify beta into beta
6.568 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.568 * [backup-simplify]: Simplify (+ 1 0) into 1
6.569 * [backup-simplify]: Simplify (- 1) into -1
6.569 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.570 * [backup-simplify]: Simplify (* 1 -1) into -1
6.570 * [backup-simplify]: Simplify (+ 1 0) into 1
6.583 * [backup-simplify]: Simplify (/ -1 1) into -1
6.583 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
6.583 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
6.583 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
6.583 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.583 * [taylor]: Taking taylor expansion of alpha in alpha
6.583 * [backup-simplify]: Simplify 0 into 0
6.583 * [backup-simplify]: Simplify 1 into 1
6.584 * [backup-simplify]: Simplify (/ 1 1) into 1
6.584 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.584 * [taylor]: Taking taylor expansion of beta in alpha
6.584 * [backup-simplify]: Simplify beta into beta
6.584 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.584 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
6.584 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.584 * [taylor]: Taking taylor expansion of beta in alpha
6.584 * [backup-simplify]: Simplify beta into beta
6.584 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.584 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.584 * [taylor]: Taking taylor expansion of alpha in alpha
6.584 * [backup-simplify]: Simplify 0 into 0
6.584 * [backup-simplify]: Simplify 1 into 1
6.585 * [backup-simplify]: Simplify (/ 1 1) into 1
6.585 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
6.585 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.585 * [taylor]: Taking taylor expansion of alpha in alpha
6.585 * [backup-simplify]: Simplify 0 into 0
6.585 * [backup-simplify]: Simplify 1 into 1
6.585 * [backup-simplify]: Simplify (/ 1 1) into 1
6.585 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
6.585 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
6.585 * [taylor]: Taking taylor expansion of 2.0 in alpha
6.585 * [backup-simplify]: Simplify 2.0 into 2.0
6.585 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
6.586 * [taylor]: Taking taylor expansion of i in alpha
6.586 * [backup-simplify]: Simplify i into i
6.586 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.586 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.586 * [taylor]: Taking taylor expansion of beta in alpha
6.586 * [backup-simplify]: Simplify beta into beta
6.586 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.590 * [backup-simplify]: Simplify (+ 1 0) into 1
6.591 * [backup-simplify]: Simplify (- 1) into -1
6.592 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.592 * [backup-simplify]: Simplify (* 1 -1) into -1
6.593 * [backup-simplify]: Simplify (+ 1 0) into 1
6.593 * [backup-simplify]: Simplify (/ -1 1) into -1
6.593 * [taylor]: Taking taylor expansion of -1 in beta
6.593 * [backup-simplify]: Simplify -1 into -1
6.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.594 * [backup-simplify]: Simplify (- 0) into 0
6.595 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
6.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.595 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
6.596 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
6.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.597 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
6.597 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
6.597 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
6.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
6.614 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
6.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
6.614 * [taylor]: Taking taylor expansion of 2.0 in beta
6.614 * [backup-simplify]: Simplify 2.0 into 2.0
6.614 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
6.614 * [taylor]: Taking taylor expansion of i in beta
6.614 * [backup-simplify]: Simplify i into i
6.614 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.614 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
6.614 * [taylor]: Taking taylor expansion of beta in beta
6.614 * [backup-simplify]: Simplify 0 into 0
6.614 * [backup-simplify]: Simplify 1 into 1
6.615 * [backup-simplify]: Simplify (/ 1 1) into 1
6.615 * [backup-simplify]: Simplify (+ 0 1) into 1
6.615 * [taylor]: Taking taylor expansion of 1 in i
6.615 * [backup-simplify]: Simplify 1 into 1
6.615 * [backup-simplify]: Simplify 0 into 0
6.616 * [taylor]: Taking taylor expansion of -1 in i
6.616 * [backup-simplify]: Simplify -1 into -1
6.616 * [backup-simplify]: Simplify 0 into 0
6.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
6.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.617 * [backup-simplify]: Simplify (- 0) into 0
6.617 * [backup-simplify]: Simplify (+ 0 0) into 0
6.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
6.627 * [backup-simplify]: Simplify (+ 0 0) into 0
6.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
6.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.629 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
6.630 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
6.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
6.633 * [backup-simplify]: Simplify (+ 0 0) into 0
6.634 * [backup-simplify]: Simplify (+ 0 0) into 0
6.636 * [backup-simplify]: Simplify (- (/ (/ 1 (pow beta 2)) 1) (+ (* -1 (/ 0 1)) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (/ (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta)))))
6.636 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta))))) in beta
6.636 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta)))) in beta
6.636 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in beta
6.636 * [taylor]: Taking taylor expansion of 4.0 in beta
6.636 * [backup-simplify]: Simplify 4.0 into 4.0
6.636 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
6.636 * [taylor]: Taking taylor expansion of (pow i 2) in beta
6.636 * [taylor]: Taking taylor expansion of i in beta
6.636 * [backup-simplify]: Simplify i into i
6.636 * [backup-simplify]: Simplify (* i i) into (pow i 2)
6.636 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
6.636 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* i beta))) in beta
6.637 * [taylor]: Taking taylor expansion of 4.0 in beta
6.637 * [backup-simplify]: Simplify 4.0 into 4.0
6.637 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
6.637 * [taylor]: Taking taylor expansion of (* i beta) in beta
6.637 * [taylor]: Taking taylor expansion of i in beta
6.637 * [backup-simplify]: Simplify i into i
6.637 * [taylor]: Taking taylor expansion of beta in beta
6.637 * [backup-simplify]: Simplify 0 into 0
6.637 * [backup-simplify]: Simplify 1 into 1
6.637 * [backup-simplify]: Simplify (* i 0) into 0
6.637 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
6.637 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.637 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
6.638 * [backup-simplify]: Simplify (+ 0 (/ 4.0 i)) into (* 4.0 (/ 1 i))
6.638 * [backup-simplify]: Simplify (- (* 4.0 (/ 1 i))) into (- (* 4.0 (/ 1 i)))
6.638 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i))) in i
6.638 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
6.638 * [taylor]: Taking taylor expansion of 4.0 in i
6.638 * [backup-simplify]: Simplify 4.0 into 4.0
6.638 * [taylor]: Taking taylor expansion of (/ 1 i) in i
6.638 * [taylor]: Taking taylor expansion of i in i
6.638 * [backup-simplify]: Simplify 0 into 0
6.638 * [backup-simplify]: Simplify 1 into 1
6.643 * [backup-simplify]: Simplify (/ 1 1) into 1
6.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.650 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
6.650 * [backup-simplify]: Simplify (- 0) into 0
6.650 * [backup-simplify]: Simplify 0 into 0
6.650 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
6.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.651 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
6.651 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
6.651 * [taylor]: Taking taylor expansion of 2.0 in i
6.651 * [backup-simplify]: Simplify 2.0 into 2.0
6.651 * [taylor]: Taking taylor expansion of (/ 1 i) in i
6.651 * [taylor]: Taking taylor expansion of i in i
6.651 * [backup-simplify]: Simplify 0 into 0
6.652 * [backup-simplify]: Simplify 1 into 1
6.652 * [backup-simplify]: Simplify (/ 1 1) into 1
6.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.655 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
6.655 * [backup-simplify]: Simplify 0 into 0
6.655 * [taylor]: Taking taylor expansion of 0 in i
6.655 * [backup-simplify]: Simplify 0 into 0
6.655 * [backup-simplify]: Simplify 0 into 0
6.655 * [backup-simplify]: Simplify 0 into 0
6.655 * [backup-simplify]: Simplify 0 into 0
6.656 * [backup-simplify]: Simplify (/ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (- (/ 1 (- beta)) (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) into (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))
6.656 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in (alpha beta i) around 0
6.656 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
6.656 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
6.656 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
6.656 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
6.656 * [taylor]: Taking taylor expansion of alpha in i
6.656 * [backup-simplify]: Simplify alpha into alpha
6.656 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.656 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
6.656 * [taylor]: Taking taylor expansion of beta in i
6.656 * [backup-simplify]: Simplify beta into beta
6.656 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.656 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
6.656 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
6.656 * [taylor]: Taking taylor expansion of alpha in i
6.656 * [backup-simplify]: Simplify alpha into alpha
6.656 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.656 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
6.656 * [taylor]: Taking taylor expansion of beta in i
6.656 * [backup-simplify]: Simplify beta into beta
6.657 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.657 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
6.657 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
6.657 * [taylor]: Taking taylor expansion of alpha in i
6.657 * [backup-simplify]: Simplify alpha into alpha
6.657 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.657 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
6.657 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
6.657 * [taylor]: Taking taylor expansion of 2.0 in i
6.657 * [backup-simplify]: Simplify 2.0 into 2.0
6.657 * [taylor]: Taking taylor expansion of (/ 1 i) in i
6.657 * [taylor]: Taking taylor expansion of i in i
6.657 * [backup-simplify]: Simplify 0 into 0
6.657 * [backup-simplify]: Simplify 1 into 1
6.658 * [backup-simplify]: Simplify (/ 1 1) into 1
6.658 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
6.658 * [taylor]: Taking taylor expansion of beta in i
6.658 * [backup-simplify]: Simplify beta into beta
6.658 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.658 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
6.658 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
6.658 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
6.667 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
6.667 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
6.668 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
6.668 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
6.669 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) 2.0) into (* 0.5 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
6.669 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
6.669 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
6.669 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
6.669 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
6.669 * [taylor]: Taking taylor expansion of alpha in beta
6.669 * [backup-simplify]: Simplify alpha into alpha
6.669 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.669 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
6.669 * [taylor]: Taking taylor expansion of beta in beta
6.669 * [backup-simplify]: Simplify 0 into 0
6.669 * [backup-simplify]: Simplify 1 into 1
6.669 * [backup-simplify]: Simplify (/ 1 1) into 1
6.669 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
6.669 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
6.669 * [taylor]: Taking taylor expansion of alpha in beta
6.670 * [backup-simplify]: Simplify alpha into alpha
6.670 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.670 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
6.670 * [taylor]: Taking taylor expansion of beta in beta
6.670 * [backup-simplify]: Simplify 0 into 0
6.670 * [backup-simplify]: Simplify 1 into 1
6.670 * [backup-simplify]: Simplify (/ 1 1) into 1
6.670 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
6.670 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
6.670 * [taylor]: Taking taylor expansion of alpha in beta
6.670 * [backup-simplify]: Simplify alpha into alpha
6.673 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
6.673 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
6.673 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
6.673 * [taylor]: Taking taylor expansion of 2.0 in beta
6.673 * [backup-simplify]: Simplify 2.0 into 2.0
6.673 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
6.673 * [taylor]: Taking taylor expansion of i in beta
6.673 * [backup-simplify]: Simplify i into i
6.673 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.673 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
6.674 * [taylor]: Taking taylor expansion of beta in beta
6.674 * [backup-simplify]: Simplify 0 into 0
6.674 * [backup-simplify]: Simplify 1 into 1
6.674 * [backup-simplify]: Simplify (/ 1 1) into 1
6.674 * [backup-simplify]: Simplify (- 1) into -1
6.675 * [backup-simplify]: Simplify (+ 0 -1) into -1
6.675 * [backup-simplify]: Simplify (+ 0 1) into 1
6.676 * [backup-simplify]: Simplify (* -1 1) into -1
6.676 * [backup-simplify]: Simplify (+ 0 1) into 1
6.677 * [backup-simplify]: Simplify (+ 0 1) into 1
6.677 * [backup-simplify]: Simplify (/ -1 1) into -1
6.677 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
6.677 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
6.677 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
6.677 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.677 * [taylor]: Taking taylor expansion of alpha in alpha
6.677 * [backup-simplify]: Simplify 0 into 0
6.677 * [backup-simplify]: Simplify 1 into 1
6.678 * [backup-simplify]: Simplify (/ 1 1) into 1
6.678 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.678 * [taylor]: Taking taylor expansion of beta in alpha
6.678 * [backup-simplify]: Simplify beta into beta
6.678 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.678 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
6.678 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.678 * [taylor]: Taking taylor expansion of alpha in alpha
6.678 * [backup-simplify]: Simplify 0 into 0
6.678 * [backup-simplify]: Simplify 1 into 1
6.682 * [backup-simplify]: Simplify (/ 1 1) into 1
6.683 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.683 * [taylor]: Taking taylor expansion of beta in alpha
6.683 * [backup-simplify]: Simplify beta into beta
6.683 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.683 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
6.683 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.683 * [taylor]: Taking taylor expansion of alpha in alpha
6.683 * [backup-simplify]: Simplify 0 into 0
6.683 * [backup-simplify]: Simplify 1 into 1
6.687 * [backup-simplify]: Simplify (/ 1 1) into 1
6.687 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
6.687 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
6.687 * [taylor]: Taking taylor expansion of 2.0 in alpha
6.687 * [backup-simplify]: Simplify 2.0 into 2.0
6.687 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
6.687 * [taylor]: Taking taylor expansion of i in alpha
6.687 * [backup-simplify]: Simplify i into i
6.687 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.687 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.687 * [taylor]: Taking taylor expansion of beta in alpha
6.687 * [backup-simplify]: Simplify beta into beta
6.687 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.688 * [backup-simplify]: Simplify (+ 1 0) into 1
6.688 * [backup-simplify]: Simplify (+ 1 0) into 1
6.689 * [backup-simplify]: Simplify (* 1 1) into 1
6.689 * [backup-simplify]: Simplify (+ 1 0) into 1
6.689 * [backup-simplify]: Simplify (/ 1 1) into 1
6.690 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
6.690 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
6.690 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
6.690 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.690 * [taylor]: Taking taylor expansion of alpha in alpha
6.690 * [backup-simplify]: Simplify 0 into 0
6.690 * [backup-simplify]: Simplify 1 into 1
6.690 * [backup-simplify]: Simplify (/ 1 1) into 1
6.690 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.690 * [taylor]: Taking taylor expansion of beta in alpha
6.693 * [backup-simplify]: Simplify beta into beta
6.693 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.693 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
6.693 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.693 * [taylor]: Taking taylor expansion of alpha in alpha
6.693 * [backup-simplify]: Simplify 0 into 0
6.694 * [backup-simplify]: Simplify 1 into 1
6.694 * [backup-simplify]: Simplify (/ 1 1) into 1
6.694 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.694 * [taylor]: Taking taylor expansion of beta in alpha
6.694 * [backup-simplify]: Simplify beta into beta
6.695 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.695 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
6.695 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
6.695 * [taylor]: Taking taylor expansion of alpha in alpha
6.695 * [backup-simplify]: Simplify 0 into 0
6.695 * [backup-simplify]: Simplify 1 into 1
6.695 * [backup-simplify]: Simplify (/ 1 1) into 1
6.695 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
6.695 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
6.695 * [taylor]: Taking taylor expansion of 2.0 in alpha
6.695 * [backup-simplify]: Simplify 2.0 into 2.0
6.695 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
6.695 * [taylor]: Taking taylor expansion of i in alpha
6.695 * [backup-simplify]: Simplify i into i
6.695 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.695 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
6.695 * [taylor]: Taking taylor expansion of beta in alpha
6.696 * [backup-simplify]: Simplify beta into beta
6.696 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
6.696 * [backup-simplify]: Simplify (+ 1 0) into 1
6.696 * [backup-simplify]: Simplify (+ 1 0) into 1
6.697 * [backup-simplify]: Simplify (* 1 1) into 1
6.697 * [backup-simplify]: Simplify (+ 1 0) into 1
6.887 * [backup-simplify]: Simplify (/ 1 1) into 1
6.888 * [taylor]: Taking taylor expansion of 1 in beta
6.888 * [backup-simplify]: Simplify 1 into 1
6.889 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.890 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
6.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.903 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
6.903 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
6.903 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
6.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.905 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
6.905 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
6.905 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
6.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
6.906 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
6.926 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
6.926 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
6.926 * [taylor]: Taking taylor expansion of 2.0 in beta
6.927 * [backup-simplify]: Simplify 2.0 into 2.0
6.927 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
6.927 * [taylor]: Taking taylor expansion of i in beta
6.927 * [backup-simplify]: Simplify i into i
6.927 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
6.927 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
6.927 * [taylor]: Taking taylor expansion of beta in beta
6.927 * [backup-simplify]: Simplify 0 into 0
6.927 * [backup-simplify]: Simplify 1 into 1
6.927 * [backup-simplify]: Simplify (/ 1 1) into 1
6.928 * [backup-simplify]: Simplify (+ 0 1) into 1
6.928 * [backup-simplify]: Simplify (- 1) into -1
6.928 * [taylor]: Taking taylor expansion of -1 in i
6.928 * [backup-simplify]: Simplify -1 into -1
6.928 * [backup-simplify]: Simplify 0 into 0
6.928 * [taylor]: Taking taylor expansion of 1 in i
6.928 * [backup-simplify]: Simplify 1 into 1
6.929 * [backup-simplify]: Simplify 0 into 0
6.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.930 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
6.930 * [backup-simplify]: Simplify (+ 0 0) into 0
6.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
6.953 * [backup-simplify]: Simplify (- 0) into 0
6.953 * [backup-simplify]: Simplify (+ 0 0) into 0
6.979 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
6.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
6.981 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
6.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
6.982 * [backup-simplify]: Simplify (+ 0 0) into 0
6.999 * [backup-simplify]: Simplify (+ 0 0) into 0
7.000 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow beta 2))) 1) (+ (* 1 (/ 0 1)) (* (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (/ (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)))) into (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta))))
7.001 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 (pow i 2))) (* 4.0 (/ 1 (* i beta)))) in beta
7.001 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (pow i 2))) in beta
7.001 * [taylor]: Taking taylor expansion of 4.0 in beta
7.001 * [backup-simplify]: Simplify 4.0 into 4.0
7.001 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.001 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.001 * [taylor]: Taking taylor expansion of i in beta
7.001 * [backup-simplify]: Simplify i into i
7.001 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.001 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.001 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 (* i beta))) in beta
7.001 * [taylor]: Taking taylor expansion of 4.0 in beta
7.001 * [backup-simplify]: Simplify 4.0 into 4.0
7.001 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.001 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.001 * [taylor]: Taking taylor expansion of i in beta
7.001 * [backup-simplify]: Simplify i into i
7.001 * [taylor]: Taking taylor expansion of beta in beta
7.001 * [backup-simplify]: Simplify 0 into 0
7.001 * [backup-simplify]: Simplify 1 into 1
7.001 * [backup-simplify]: Simplify (* i 0) into 0
7.002 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.002 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.002 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
7.027 * [backup-simplify]: Simplify (+ 0 (/ 4.0 i)) into (* 4.0 (/ 1 i))
7.027 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
7.027 * [taylor]: Taking taylor expansion of 4.0 in i
7.027 * [backup-simplify]: Simplify 4.0 into 4.0
7.027 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.027 * [taylor]: Taking taylor expansion of i in i
7.027 * [backup-simplify]: Simplify 0 into 0
7.027 * [backup-simplify]: Simplify 1 into 1
7.028 * [backup-simplify]: Simplify (/ 1 1) into 1
7.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.047 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
7.047 * [backup-simplify]: Simplify 0 into 0
7.048 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.049 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
7.049 * [backup-simplify]: Simplify (- (* 2.0 (/ 1 i))) into (- (* 2.0 (/ 1 i)))
7.049 * [taylor]: Taking taylor expansion of (- (* 2.0 (/ 1 i))) in i
7.049 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.049 * [taylor]: Taking taylor expansion of 2.0 in i
7.049 * [backup-simplify]: Simplify 2.0 into 2.0
7.049 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.049 * [taylor]: Taking taylor expansion of i in i
7.049 * [backup-simplify]: Simplify 0 into 0
7.049 * [backup-simplify]: Simplify 1 into 1
7.050 * [backup-simplify]: Simplify (/ 1 1) into 1
7.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.062 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 1))) into 0
7.071 * [backup-simplify]: Simplify (- 0) into 0
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [taylor]: Taking taylor expansion of 0 in i
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * [backup-simplify]: Simplify 0 into 0
7.071 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
7.073 * [backup-simplify]: Simplify (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
7.073 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
7.073 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
7.073 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
7.073 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
7.073 * [taylor]: Taking taylor expansion of (pow beta 2) in i
7.073 * [taylor]: Taking taylor expansion of beta in i
7.073 * [backup-simplify]: Simplify beta into beta
7.073 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
7.073 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
7.073 * [taylor]: Taking taylor expansion of alpha in i
7.073 * [backup-simplify]: Simplify alpha into alpha
7.073 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.073 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.073 * [taylor]: Taking taylor expansion of 2.0 in i
7.073 * [backup-simplify]: Simplify 2.0 into 2.0
7.073 * [taylor]: Taking taylor expansion of i in i
7.073 * [backup-simplify]: Simplify 0 into 0
7.073 * [backup-simplify]: Simplify 1 into 1
7.073 * [taylor]: Taking taylor expansion of beta in i
7.074 * [backup-simplify]: Simplify beta into beta
7.074 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
7.074 * [taylor]: Taking taylor expansion of alpha in i
7.074 * [backup-simplify]: Simplify alpha into alpha
7.074 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
7.074 * [taylor]: Taking taylor expansion of 2.0 in i
7.074 * [backup-simplify]: Simplify 2.0 into 2.0
7.074 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.074 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.074 * [taylor]: Taking taylor expansion of 2.0 in i
7.074 * [backup-simplify]: Simplify 2.0 into 2.0
7.074 * [taylor]: Taking taylor expansion of i in i
7.074 * [backup-simplify]: Simplify 0 into 0
7.074 * [backup-simplify]: Simplify 1 into 1
7.074 * [taylor]: Taking taylor expansion of beta in i
7.074 * [backup-simplify]: Simplify beta into beta
7.074 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.083 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.084 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.084 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
7.084 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.084 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.084 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
7.084 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
7.085 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
7.085 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
7.085 * [taylor]: Taking taylor expansion of 1.0 in i
7.085 * [backup-simplify]: Simplify 1.0 into 1.0
7.085 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
7.085 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
7.085 * [taylor]: Taking taylor expansion of alpha in i
7.085 * [backup-simplify]: Simplify alpha into alpha
7.085 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
7.085 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
7.085 * [taylor]: Taking taylor expansion of alpha in i
7.085 * [backup-simplify]: Simplify alpha into alpha
7.085 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.085 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.085 * [taylor]: Taking taylor expansion of 2.0 in i
7.086 * [backup-simplify]: Simplify 2.0 into 2.0
7.086 * [taylor]: Taking taylor expansion of i in i
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 1 into 1
7.086 * [taylor]: Taking taylor expansion of beta in i
7.086 * [backup-simplify]: Simplify beta into beta
7.086 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
7.086 * [taylor]: Taking taylor expansion of alpha in i
7.086 * [backup-simplify]: Simplify alpha into alpha
7.086 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
7.086 * [taylor]: Taking taylor expansion of 2.0 in i
7.086 * [backup-simplify]: Simplify 2.0 into 2.0
7.086 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
7.086 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.086 * [taylor]: Taking taylor expansion of 2.0 in i
7.086 * [backup-simplify]: Simplify 2.0 into 2.0
7.086 * [taylor]: Taking taylor expansion of i in i
7.086 * [backup-simplify]: Simplify 0 into 0
7.086 * [backup-simplify]: Simplify 1 into 1
7.086 * [taylor]: Taking taylor expansion of beta in i
7.086 * [backup-simplify]: Simplify beta into beta
7.094 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.095 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.096 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.096 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
7.096 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.096 * [backup-simplify]: Simplify (+ 0 beta) into beta
7.096 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
7.097 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
7.097 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
7.097 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
7.097 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
7.097 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
7.097 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
7.097 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.097 * [taylor]: Taking taylor expansion of beta in beta
7.097 * [backup-simplify]: Simplify 0 into 0
7.097 * [backup-simplify]: Simplify 1 into 1
7.097 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
7.097 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
7.097 * [taylor]: Taking taylor expansion of alpha in beta
7.097 * [backup-simplify]: Simplify alpha into alpha
7.097 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.097 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.097 * [taylor]: Taking taylor expansion of 2.0 in beta
7.098 * [backup-simplify]: Simplify 2.0 into 2.0
7.098 * [taylor]: Taking taylor expansion of i in beta
7.098 * [backup-simplify]: Simplify i into i
7.098 * [taylor]: Taking taylor expansion of beta in beta
7.098 * [backup-simplify]: Simplify 0 into 0
7.098 * [backup-simplify]: Simplify 1 into 1
7.098 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
7.098 * [taylor]: Taking taylor expansion of alpha in beta
7.098 * [backup-simplify]: Simplify alpha into alpha
7.098 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
7.098 * [taylor]: Taking taylor expansion of 2.0 in beta
7.098 * [backup-simplify]: Simplify 2.0 into 2.0
7.098 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.098 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.098 * [taylor]: Taking taylor expansion of 2.0 in beta
7.098 * [backup-simplify]: Simplify 2.0 into 2.0
7.098 * [taylor]: Taking taylor expansion of i in beta
7.098 * [backup-simplify]: Simplify i into i
7.098 * [taylor]: Taking taylor expansion of beta in beta
7.098 * [backup-simplify]: Simplify 0 into 0
7.098 * [backup-simplify]: Simplify 1 into 1
7.107 * [backup-simplify]: Simplify (* 1 1) into 1
7.107 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.107 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.107 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
7.108 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.108 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.108 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
7.108 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
7.108 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
7.108 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
7.108 * [taylor]: Taking taylor expansion of 1.0 in beta
7.108 * [backup-simplify]: Simplify 1.0 into 1.0
7.109 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
7.109 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
7.109 * [taylor]: Taking taylor expansion of alpha in beta
7.109 * [backup-simplify]: Simplify alpha into alpha
7.109 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
7.109 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
7.109 * [taylor]: Taking taylor expansion of alpha in beta
7.109 * [backup-simplify]: Simplify alpha into alpha
7.109 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.109 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.109 * [taylor]: Taking taylor expansion of 2.0 in beta
7.109 * [backup-simplify]: Simplify 2.0 into 2.0
7.109 * [taylor]: Taking taylor expansion of i in beta
7.109 * [backup-simplify]: Simplify i into i
7.109 * [taylor]: Taking taylor expansion of beta in beta
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify 1 into 1
7.109 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
7.109 * [taylor]: Taking taylor expansion of alpha in beta
7.109 * [backup-simplify]: Simplify alpha into alpha
7.109 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
7.109 * [taylor]: Taking taylor expansion of 2.0 in beta
7.109 * [backup-simplify]: Simplify 2.0 into 2.0
7.109 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.109 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.109 * [taylor]: Taking taylor expansion of 2.0 in beta
7.109 * [backup-simplify]: Simplify 2.0 into 2.0
7.109 * [taylor]: Taking taylor expansion of i in beta
7.109 * [backup-simplify]: Simplify i into i
7.109 * [taylor]: Taking taylor expansion of beta in beta
7.109 * [backup-simplify]: Simplify 0 into 0
7.109 * [backup-simplify]: Simplify 1 into 1
7.110 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.110 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.110 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.110 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
7.110 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.110 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.110 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
7.110 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
7.117 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
7.118 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
7.118 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
7.118 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
7.118 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.118 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.118 * [taylor]: Taking taylor expansion of beta in alpha
7.118 * [backup-simplify]: Simplify beta into beta
7.118 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.118 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.118 * [taylor]: Taking taylor expansion of alpha in alpha
7.118 * [backup-simplify]: Simplify 0 into 0
7.118 * [backup-simplify]: Simplify 1 into 1
7.118 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.118 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.118 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.118 * [backup-simplify]: Simplify 2.0 into 2.0
7.118 * [taylor]: Taking taylor expansion of i in alpha
7.118 * [backup-simplify]: Simplify i into i
7.118 * [taylor]: Taking taylor expansion of beta in alpha
7.118 * [backup-simplify]: Simplify beta into beta
7.118 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.118 * [taylor]: Taking taylor expansion of alpha in alpha
7.118 * [backup-simplify]: Simplify 0 into 0
7.118 * [backup-simplify]: Simplify 1 into 1
7.118 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.119 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.119 * [backup-simplify]: Simplify 2.0 into 2.0
7.119 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.119 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.119 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.119 * [backup-simplify]: Simplify 2.0 into 2.0
7.119 * [taylor]: Taking taylor expansion of i in alpha
7.119 * [backup-simplify]: Simplify i into i
7.119 * [taylor]: Taking taylor expansion of beta in alpha
7.119 * [backup-simplify]: Simplify beta into beta
7.119 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.119 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.119 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.119 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.119 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.119 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.119 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.120 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.120 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.120 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
7.120 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.120 * [backup-simplify]: Simplify 1.0 into 1.0
7.120 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.120 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.120 * [taylor]: Taking taylor expansion of alpha in alpha
7.120 * [backup-simplify]: Simplify 0 into 0
7.120 * [backup-simplify]: Simplify 1 into 1
7.120 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.121 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.121 * [taylor]: Taking taylor expansion of alpha in alpha
7.121 * [backup-simplify]: Simplify 0 into 0
7.121 * [backup-simplify]: Simplify 1 into 1
7.121 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.121 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.121 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.121 * [backup-simplify]: Simplify 2.0 into 2.0
7.121 * [taylor]: Taking taylor expansion of i in alpha
7.121 * [backup-simplify]: Simplify i into i
7.121 * [taylor]: Taking taylor expansion of beta in alpha
7.121 * [backup-simplify]: Simplify beta into beta
7.121 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.121 * [taylor]: Taking taylor expansion of alpha in alpha
7.121 * [backup-simplify]: Simplify 0 into 0
7.121 * [backup-simplify]: Simplify 1 into 1
7.121 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.121 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.121 * [backup-simplify]: Simplify 2.0 into 2.0
7.121 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.121 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.121 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.121 * [backup-simplify]: Simplify 2.0 into 2.0
7.121 * [taylor]: Taking taylor expansion of i in alpha
7.121 * [backup-simplify]: Simplify i into i
7.121 * [taylor]: Taking taylor expansion of beta in alpha
7.121 * [backup-simplify]: Simplify beta into beta
7.122 * [backup-simplify]: Simplify (* 1 1) into 1
7.122 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.122 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.122 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.136 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.136 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.136 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.136 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.136 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.137 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
7.137 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
7.137 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
7.137 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.144 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.144 * [taylor]: Taking taylor expansion of beta in alpha
7.144 * [backup-simplify]: Simplify beta into beta
7.144 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.144 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.144 * [taylor]: Taking taylor expansion of alpha in alpha
7.144 * [backup-simplify]: Simplify 0 into 0
7.144 * [backup-simplify]: Simplify 1 into 1
7.144 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.144 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.144 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.144 * [backup-simplify]: Simplify 2.0 into 2.0
7.144 * [taylor]: Taking taylor expansion of i in alpha
7.144 * [backup-simplify]: Simplify i into i
7.144 * [taylor]: Taking taylor expansion of beta in alpha
7.144 * [backup-simplify]: Simplify beta into beta
7.144 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.144 * [taylor]: Taking taylor expansion of alpha in alpha
7.144 * [backup-simplify]: Simplify 0 into 0
7.144 * [backup-simplify]: Simplify 1 into 1
7.144 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.144 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.144 * [backup-simplify]: Simplify 2.0 into 2.0
7.144 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.144 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.145 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.145 * [backup-simplify]: Simplify 2.0 into 2.0
7.145 * [taylor]: Taking taylor expansion of i in alpha
7.145 * [backup-simplify]: Simplify i into i
7.145 * [taylor]: Taking taylor expansion of beta in alpha
7.145 * [backup-simplify]: Simplify beta into beta
7.145 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.145 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.145 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.145 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.145 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.145 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.145 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.146 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.146 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.146 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
7.146 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.146 * [backup-simplify]: Simplify 1.0 into 1.0
7.146 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
7.146 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.146 * [taylor]: Taking taylor expansion of alpha in alpha
7.146 * [backup-simplify]: Simplify 0 into 0
7.146 * [backup-simplify]: Simplify 1 into 1
7.146 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
7.146 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
7.147 * [taylor]: Taking taylor expansion of alpha in alpha
7.147 * [backup-simplify]: Simplify 0 into 0
7.147 * [backup-simplify]: Simplify 1 into 1
7.147 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.147 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.147 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.147 * [backup-simplify]: Simplify 2.0 into 2.0
7.147 * [taylor]: Taking taylor expansion of i in alpha
7.160 * [backup-simplify]: Simplify i into i
7.160 * [taylor]: Taking taylor expansion of beta in alpha
7.161 * [backup-simplify]: Simplify beta into beta
7.161 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
7.161 * [taylor]: Taking taylor expansion of alpha in alpha
7.161 * [backup-simplify]: Simplify 0 into 0
7.161 * [backup-simplify]: Simplify 1 into 1
7.161 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
7.161 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.161 * [backup-simplify]: Simplify 2.0 into 2.0
7.161 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
7.161 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
7.161 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.161 * [backup-simplify]: Simplify 2.0 into 2.0
7.161 * [taylor]: Taking taylor expansion of i in alpha
7.161 * [backup-simplify]: Simplify i into i
7.161 * [taylor]: Taking taylor expansion of beta in alpha
7.161 * [backup-simplify]: Simplify beta into beta
7.162 * [backup-simplify]: Simplify (* 1 1) into 1
7.162 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.162 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.162 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
7.162 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.162 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
7.162 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
7.162 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
7.163 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
7.163 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
7.164 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
7.164 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
7.164 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
7.164 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
7.164 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.164 * [taylor]: Taking taylor expansion of beta in beta
7.164 * [backup-simplify]: Simplify 0 into 0
7.164 * [backup-simplify]: Simplify 1 into 1
7.164 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
7.164 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.164 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.165 * [taylor]: Taking taylor expansion of 2.0 in beta
7.165 * [backup-simplify]: Simplify 2.0 into 2.0
7.165 * [taylor]: Taking taylor expansion of i in beta
7.165 * [backup-simplify]: Simplify i into i
7.165 * [taylor]: Taking taylor expansion of beta in beta
7.165 * [backup-simplify]: Simplify 0 into 0
7.165 * [backup-simplify]: Simplify 1 into 1
7.165 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.165 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.165 * [taylor]: Taking taylor expansion of 2.0 in beta
7.165 * [backup-simplify]: Simplify 2.0 into 2.0
7.165 * [taylor]: Taking taylor expansion of i in beta
7.165 * [backup-simplify]: Simplify i into i
7.165 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.165 * [taylor]: Taking taylor expansion of beta in beta
7.165 * [backup-simplify]: Simplify 0 into 0
7.165 * [backup-simplify]: Simplify 1 into 1
7.165 * [taylor]: Taking taylor expansion of 2.0 in beta
7.165 * [backup-simplify]: Simplify 2.0 into 2.0
7.166 * [backup-simplify]: Simplify (* 1 1) into 1
7.166 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.166 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.166 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.177 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.178 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.178 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
7.178 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
7.178 * [taylor]: Taking taylor expansion of 1.0 in beta
7.178 * [backup-simplify]: Simplify 1.0 into 1.0
7.179 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
7.179 * [taylor]: Taking taylor expansion of 1.0 in i
7.179 * [backup-simplify]: Simplify 1.0 into 1.0
7.179 * [backup-simplify]: Simplify 1.0 into 1.0
7.179 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
7.180 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
7.180 * [backup-simplify]: Simplify (+ 0 0) into 0
7.180 * [backup-simplify]: Simplify (+ 0 0) into 0
7.186 * [backup-simplify]: Simplify (+ 1 0) into 1
7.187 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
7.188 * [backup-simplify]: Simplify (+ 0 0) into 0
7.188 * [backup-simplify]: Simplify (+ 1 0) into 1
7.188 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
7.190 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
7.198 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
7.202 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
7.202 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
7.202 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
7.202 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
7.202 * [taylor]: Taking taylor expansion of 4.0 in beta
7.202 * [backup-simplify]: Simplify 4.0 into 4.0
7.202 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.202 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.202 * [taylor]: Taking taylor expansion of i in beta
7.202 * [backup-simplify]: Simplify i into i
7.202 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.202 * [taylor]: Taking taylor expansion of beta in beta
7.202 * [backup-simplify]: Simplify 0 into 0
7.202 * [backup-simplify]: Simplify 1 into 1
7.202 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.203 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.203 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.203 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.203 * [taylor]: Taking taylor expansion of 2.0 in beta
7.203 * [backup-simplify]: Simplify 2.0 into 2.0
7.203 * [taylor]: Taking taylor expansion of i in beta
7.203 * [backup-simplify]: Simplify i into i
7.203 * [taylor]: Taking taylor expansion of beta in beta
7.203 * [backup-simplify]: Simplify 0 into 0
7.203 * [backup-simplify]: Simplify 1 into 1
7.203 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.203 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.203 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.203 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.203 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.203 * [taylor]: Taking taylor expansion of 2.0 in beta
7.203 * [backup-simplify]: Simplify 2.0 into 2.0
7.203 * [taylor]: Taking taylor expansion of i in beta
7.203 * [backup-simplify]: Simplify i into i
7.203 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.203 * [taylor]: Taking taylor expansion of beta in beta
7.203 * [backup-simplify]: Simplify 0 into 0
7.203 * [backup-simplify]: Simplify 1 into 1
7.203 * [taylor]: Taking taylor expansion of 2.0 in beta
7.203 * [backup-simplify]: Simplify 2.0 into 2.0
7.203 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.204 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.204 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.205 * [backup-simplify]: Simplify (* 1 1) into 1
7.205 * [backup-simplify]: Simplify (* i 1) into i
7.205 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.205 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.205 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.206 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
7.206 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
7.206 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
7.206 * [taylor]: Taking taylor expansion of 2 in beta
7.206 * [backup-simplify]: Simplify 2 into 2
7.206 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.206 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.206 * [taylor]: Taking taylor expansion of beta in beta
7.206 * [backup-simplify]: Simplify 0 into 0
7.206 * [backup-simplify]: Simplify 1 into 1
7.206 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.206 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.207 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.208 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.208 * [taylor]: Taking taylor expansion of 2.0 in beta
7.208 * [backup-simplify]: Simplify 2.0 into 2.0
7.208 * [taylor]: Taking taylor expansion of i in beta
7.208 * [backup-simplify]: Simplify i into i
7.208 * [taylor]: Taking taylor expansion of beta in beta
7.208 * [backup-simplify]: Simplify 0 into 0
7.208 * [backup-simplify]: Simplify 1 into 1
7.208 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.208 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.208 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.208 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.208 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.208 * [taylor]: Taking taylor expansion of 2.0 in beta
7.208 * [backup-simplify]: Simplify 2.0 into 2.0
7.208 * [taylor]: Taking taylor expansion of i in beta
7.208 * [backup-simplify]: Simplify i into i
7.208 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.208 * [taylor]: Taking taylor expansion of beta in beta
7.208 * [backup-simplify]: Simplify 0 into 0
7.208 * [backup-simplify]: Simplify 1 into 1
7.208 * [taylor]: Taking taylor expansion of 2.0 in beta
7.208 * [backup-simplify]: Simplify 2.0 into 2.0
7.208 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.209 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.209 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.210 * [backup-simplify]: Simplify (* 1 1) into 1
7.210 * [backup-simplify]: Simplify (* 1 1) into 1
7.210 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.210 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.211 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.211 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.211 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
7.211 * [taylor]: Taking taylor expansion of 2.0 in beta
7.211 * [backup-simplify]: Simplify 2.0 into 2.0
7.211 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.211 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.212 * [taylor]: Taking taylor expansion of beta in beta
7.212 * [backup-simplify]: Simplify 0 into 0
7.212 * [backup-simplify]: Simplify 1 into 1
7.212 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.212 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.212 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.212 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.212 * [taylor]: Taking taylor expansion of 2.0 in beta
7.212 * [backup-simplify]: Simplify 2.0 into 2.0
7.212 * [taylor]: Taking taylor expansion of i in beta
7.212 * [backup-simplify]: Simplify i into i
7.212 * [taylor]: Taking taylor expansion of beta in beta
7.212 * [backup-simplify]: Simplify 0 into 0
7.212 * [backup-simplify]: Simplify 1 into 1
7.212 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.212 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.212 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.212 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.212 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.212 * [taylor]: Taking taylor expansion of 2.0 in beta
7.212 * [backup-simplify]: Simplify 2.0 into 2.0
7.212 * [taylor]: Taking taylor expansion of i in beta
7.212 * [backup-simplify]: Simplify i into i
7.212 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.212 * [taylor]: Taking taylor expansion of beta in beta
7.212 * [backup-simplify]: Simplify 0 into 0
7.212 * [backup-simplify]: Simplify 1 into 1
7.212 * [taylor]: Taking taylor expansion of 2.0 in beta
7.212 * [backup-simplify]: Simplify 2.0 into 2.0
7.213 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.213 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.213 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.214 * [backup-simplify]: Simplify (* 1 1) into 1
7.214 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.214 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.214 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.215 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.215 * [backup-simplify]: Simplify (+ 0 0) into 0
7.215 * [taylor]: Taking taylor expansion of 0 in i
7.215 * [backup-simplify]: Simplify 0 into 0
7.215 * [backup-simplify]: Simplify 0 into 0
7.215 * [backup-simplify]: Simplify 0 into 0
7.216 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
7.217 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
7.217 * [backup-simplify]: Simplify (+ 0 0) into 0
7.218 * [backup-simplify]: Simplify (+ 0 0) into 0
7.218 * [backup-simplify]: Simplify (+ 0 0) into 0
7.219 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
7.219 * [backup-simplify]: Simplify (+ 0 0) into 0
7.220 * [backup-simplify]: Simplify (+ 0 0) into 0
7.221 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
7.236 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
7.254 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
7.255 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
7.274 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
7.280 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
7.280 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
7.280 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.280 * [taylor]: Taking taylor expansion of 16.0 in beta
7.280 * [backup-simplify]: Simplify 16.0 into 16.0
7.280 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.280 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
7.280 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.280 * [taylor]: Taking taylor expansion of i in beta
7.280 * [backup-simplify]: Simplify i into i
7.281 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.281 * [taylor]: Taking taylor expansion of beta in beta
7.281 * [backup-simplify]: Simplify 0 into 0
7.281 * [backup-simplify]: Simplify 1 into 1
7.281 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.281 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.281 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.281 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.281 * [taylor]: Taking taylor expansion of 2.0 in beta
7.281 * [backup-simplify]: Simplify 2.0 into 2.0
7.281 * [taylor]: Taking taylor expansion of i in beta
7.281 * [backup-simplify]: Simplify i into i
7.281 * [taylor]: Taking taylor expansion of beta in beta
7.281 * [backup-simplify]: Simplify 0 into 0
7.281 * [backup-simplify]: Simplify 1 into 1
7.281 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.281 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.281 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.281 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.281 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.281 * [taylor]: Taking taylor expansion of 2.0 in beta
7.281 * [backup-simplify]: Simplify 2.0 into 2.0
7.281 * [taylor]: Taking taylor expansion of i in beta
7.281 * [backup-simplify]: Simplify i into i
7.281 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.281 * [taylor]: Taking taylor expansion of beta in beta
7.281 * [backup-simplify]: Simplify 0 into 0
7.281 * [backup-simplify]: Simplify 1 into 1
7.281 * [taylor]: Taking taylor expansion of 2.0 in beta
7.281 * [backup-simplify]: Simplify 2.0 into 2.0
7.281 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.282 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.282 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.283 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.283 * [backup-simplify]: Simplify (* 1 1) into 1
7.283 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
7.283 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.284 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.284 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.284 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.284 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.285 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
7.285 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
7.285 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.285 * [taylor]: Taking taylor expansion of 4 in beta
7.285 * [backup-simplify]: Simplify 4 into 4
7.285 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.285 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
7.285 * [taylor]: Taking taylor expansion of beta in beta
7.285 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify 1 into 1
7.285 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.285 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.285 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.285 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.286 * [taylor]: Taking taylor expansion of 2.0 in beta
7.286 * [backup-simplify]: Simplify 2.0 into 2.0
7.286 * [taylor]: Taking taylor expansion of i in beta
7.286 * [backup-simplify]: Simplify i into i
7.286 * [taylor]: Taking taylor expansion of beta in beta
7.286 * [backup-simplify]: Simplify 0 into 0
7.286 * [backup-simplify]: Simplify 1 into 1
7.286 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.286 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.286 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.286 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.286 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.286 * [taylor]: Taking taylor expansion of 2.0 in beta
7.286 * [backup-simplify]: Simplify 2.0 into 2.0
7.286 * [taylor]: Taking taylor expansion of i in beta
7.286 * [backup-simplify]: Simplify i into i
7.286 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.286 * [taylor]: Taking taylor expansion of beta in beta
7.286 * [backup-simplify]: Simplify 0 into 0
7.295 * [backup-simplify]: Simplify 1 into 1
7.295 * [taylor]: Taking taylor expansion of 2.0 in beta
7.295 * [backup-simplify]: Simplify 2.0 into 2.0
7.295 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.296 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.296 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.296 * [backup-simplify]: Simplify (* 1 1) into 1
7.297 * [backup-simplify]: Simplify (* 1 1) into 1
7.297 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.297 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.297 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.298 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.300 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.301 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.301 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
7.301 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.301 * [taylor]: Taking taylor expansion of 8.0 in beta
7.301 * [backup-simplify]: Simplify 8.0 into 8.0
7.301 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.301 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.301 * [taylor]: Taking taylor expansion of beta in beta
7.301 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify 1 into 1
7.302 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.302 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.302 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.302 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.302 * [taylor]: Taking taylor expansion of 2.0 in beta
7.302 * [backup-simplify]: Simplify 2.0 into 2.0
7.302 * [taylor]: Taking taylor expansion of i in beta
7.302 * [backup-simplify]: Simplify i into i
7.302 * [taylor]: Taking taylor expansion of beta in beta
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify 1 into 1
7.302 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.302 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.302 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.302 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.302 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.302 * [taylor]: Taking taylor expansion of 2.0 in beta
7.302 * [backup-simplify]: Simplify 2.0 into 2.0
7.302 * [taylor]: Taking taylor expansion of i in beta
7.302 * [backup-simplify]: Simplify i into i
7.302 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.302 * [taylor]: Taking taylor expansion of beta in beta
7.302 * [backup-simplify]: Simplify 0 into 0
7.302 * [backup-simplify]: Simplify 1 into 1
7.302 * [taylor]: Taking taylor expansion of 2.0 in beta
7.303 * [backup-simplify]: Simplify 2.0 into 2.0
7.303 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.303 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.304 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.304 * [backup-simplify]: Simplify (* 1 1) into 1
7.304 * [backup-simplify]: Simplify (* 1 1) into 1
7.304 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.305 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.305 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.305 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.305 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.306 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.306 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
7.306 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.306 * [taylor]: Taking taylor expansion of 16.0 in beta
7.306 * [backup-simplify]: Simplify 16.0 into 16.0
7.306 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.306 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
7.306 * [taylor]: Taking taylor expansion of i in beta
7.306 * [backup-simplify]: Simplify i into i
7.306 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.306 * [taylor]: Taking taylor expansion of beta in beta
7.306 * [backup-simplify]: Simplify 0 into 0
7.306 * [backup-simplify]: Simplify 1 into 1
7.306 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.306 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.306 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.306 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.306 * [taylor]: Taking taylor expansion of 2.0 in beta
7.307 * [backup-simplify]: Simplify 2.0 into 2.0
7.307 * [taylor]: Taking taylor expansion of i in beta
7.307 * [backup-simplify]: Simplify i into i
7.307 * [taylor]: Taking taylor expansion of beta in beta
7.307 * [backup-simplify]: Simplify 0 into 0
7.307 * [backup-simplify]: Simplify 1 into 1
7.307 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.307 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.307 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.307 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.307 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.307 * [taylor]: Taking taylor expansion of 2.0 in beta
7.307 * [backup-simplify]: Simplify 2.0 into 2.0
7.307 * [taylor]: Taking taylor expansion of i in beta
7.307 * [backup-simplify]: Simplify i into i
7.307 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.307 * [taylor]: Taking taylor expansion of beta in beta
7.307 * [backup-simplify]: Simplify 0 into 0
7.307 * [backup-simplify]: Simplify 1 into 1
7.307 * [taylor]: Taking taylor expansion of 2.0 in beta
7.307 * [backup-simplify]: Simplify 2.0 into 2.0
7.307 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.308 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.308 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.309 * [backup-simplify]: Simplify (* 1 1) into 1
7.309 * [backup-simplify]: Simplify (* 1 1) into 1
7.309 * [backup-simplify]: Simplify (* i 1) into i
7.309 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.310 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.310 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.310 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.311 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.311 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
7.311 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
7.311 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.312 * [taylor]: Taking taylor expansion of 16.0 in beta
7.312 * [backup-simplify]: Simplify 16.0 into 16.0
7.312 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.312 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.312 * [taylor]: Taking taylor expansion of i in beta
7.312 * [backup-simplify]: Simplify i into i
7.312 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.312 * [taylor]: Taking taylor expansion of beta in beta
7.312 * [backup-simplify]: Simplify 0 into 0
7.312 * [backup-simplify]: Simplify 1 into 1
7.312 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.312 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.312 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.312 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.312 * [taylor]: Taking taylor expansion of 2.0 in beta
7.312 * [backup-simplify]: Simplify 2.0 into 2.0
7.312 * [taylor]: Taking taylor expansion of i in beta
7.312 * [backup-simplify]: Simplify i into i
7.312 * [taylor]: Taking taylor expansion of beta in beta
7.312 * [backup-simplify]: Simplify 0 into 0
7.312 * [backup-simplify]: Simplify 1 into 1
7.312 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.312 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.312 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.313 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.313 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.313 * [taylor]: Taking taylor expansion of 2.0 in beta
7.313 * [backup-simplify]: Simplify 2.0 into 2.0
7.313 * [taylor]: Taking taylor expansion of i in beta
7.313 * [backup-simplify]: Simplify i into i
7.313 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.313 * [taylor]: Taking taylor expansion of beta in beta
7.313 * [backup-simplify]: Simplify 0 into 0
7.313 * [backup-simplify]: Simplify 1 into 1
7.313 * [taylor]: Taking taylor expansion of 2.0 in beta
7.313 * [backup-simplify]: Simplify 2.0 into 2.0
7.313 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.314 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.314 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.315 * [backup-simplify]: Simplify (* 1 1) into 1
7.315 * [backup-simplify]: Simplify (* i 1) into i
7.315 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.315 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.316 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.316 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.316 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.317 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
7.317 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
7.317 * [taylor]: Taking taylor expansion of 4.0 in beta
7.317 * [backup-simplify]: Simplify 4.0 into 4.0
7.317 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
7.317 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.317 * [taylor]: Taking taylor expansion of beta in beta
7.317 * [backup-simplify]: Simplify 0 into 0
7.317 * [backup-simplify]: Simplify 1 into 1
7.317 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
7.317 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
7.317 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.317 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.317 * [taylor]: Taking taylor expansion of 2.0 in beta
7.317 * [backup-simplify]: Simplify 2.0 into 2.0
7.317 * [taylor]: Taking taylor expansion of i in beta
7.317 * [backup-simplify]: Simplify i into i
7.317 * [taylor]: Taking taylor expansion of beta in beta
7.317 * [backup-simplify]: Simplify 0 into 0
7.317 * [backup-simplify]: Simplify 1 into 1
7.317 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.317 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.317 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
7.317 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.317 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.317 * [taylor]: Taking taylor expansion of 2.0 in beta
7.318 * [backup-simplify]: Simplify 2.0 into 2.0
7.318 * [taylor]: Taking taylor expansion of i in beta
7.318 * [backup-simplify]: Simplify i into i
7.318 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.318 * [taylor]: Taking taylor expansion of beta in beta
7.318 * [backup-simplify]: Simplify 0 into 0
7.318 * [backup-simplify]: Simplify 1 into 1
7.318 * [taylor]: Taking taylor expansion of 2.0 in beta
7.318 * [backup-simplify]: Simplify 2.0 into 2.0
7.318 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.319 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.319 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.319 * [backup-simplify]: Simplify (* 1 1) into 1
7.320 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.320 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
7.320 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.320 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
7.321 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.321 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
7.321 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
7.321 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
7.321 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
7.321 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.321 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.321 * [taylor]: Taking taylor expansion of 2.0 in beta
7.321 * [backup-simplify]: Simplify 2.0 into 2.0
7.322 * [taylor]: Taking taylor expansion of i in beta
7.322 * [backup-simplify]: Simplify i into i
7.322 * [taylor]: Taking taylor expansion of beta in beta
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify 1 into 1
7.322 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.322 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.322 * [taylor]: Taking taylor expansion of 2.0 in beta
7.322 * [backup-simplify]: Simplify 2.0 into 2.0
7.322 * [taylor]: Taking taylor expansion of i in beta
7.322 * [backup-simplify]: Simplify i into i
7.322 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.322 * [taylor]: Taking taylor expansion of beta in beta
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify 1 into 1
7.322 * [taylor]: Taking taylor expansion of 2.0 in beta
7.322 * [backup-simplify]: Simplify 2.0 into 2.0
7.322 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.322 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.322 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.323 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.323 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.324 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
7.324 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
7.324 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
7.324 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.324 * [taylor]: Taking taylor expansion of beta in beta
7.324 * [backup-simplify]: Simplify 0 into 0
7.324 * [backup-simplify]: Simplify 1 into 1
7.324 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
7.324 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
7.324 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
7.324 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.324 * [taylor]: Taking taylor expansion of 2.0 in beta
7.324 * [backup-simplify]: Simplify 2.0 into 2.0
7.324 * [taylor]: Taking taylor expansion of i in beta
7.324 * [backup-simplify]: Simplify i into i
7.324 * [taylor]: Taking taylor expansion of beta in beta
7.324 * [backup-simplify]: Simplify 0 into 0
7.324 * [backup-simplify]: Simplify 1 into 1
7.324 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.324 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
7.325 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
7.325 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
7.325 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
7.325 * [taylor]: Taking taylor expansion of 2.0 in beta
7.325 * [backup-simplify]: Simplify 2.0 into 2.0
7.325 * [taylor]: Taking taylor expansion of i in beta
7.325 * [backup-simplify]: Simplify i into i
7.325 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
7.325 * [taylor]: Taking taylor expansion of beta in beta
7.325 * [backup-simplify]: Simplify 0 into 0
7.325 * [backup-simplify]: Simplify 1 into 1
7.325 * [taylor]: Taking taylor expansion of 2.0 in beta
7.325 * [backup-simplify]: Simplify 2.0 into 2.0
7.325 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
7.326 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.326 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
7.326 * [backup-simplify]: Simplify (* 1 1) into 1
7.327 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
7.327 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
7.327 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.328 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
7.328 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
7.328 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
7.328 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
7.328 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
7.328 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
7.328 * [taylor]: Taking taylor expansion of 0.5 in i
7.329 * [backup-simplify]: Simplify 0.5 into 0.5
7.329 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
7.329 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
7.329 * [taylor]: Taking taylor expansion of i in i
7.329 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify 1 into 1
7.329 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.329 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.329 * [taylor]: Taking taylor expansion of 2.0 in i
7.329 * [backup-simplify]: Simplify 2.0 into 2.0
7.329 * [taylor]: Taking taylor expansion of i in i
7.329 * [backup-simplify]: Simplify 0 into 0
7.329 * [backup-simplify]: Simplify 1 into 1
7.329 * [taylor]: Taking taylor expansion of 2.0 in i
7.329 * [backup-simplify]: Simplify 2.0 into 2.0
7.330 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.330 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.331 * [backup-simplify]: Simplify (* 0 2.0) into 0
7.334 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.335 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.337 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
7.337 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
7.339 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.339 * [backup-simplify]: Simplify (+ 0 0) into 0
7.342 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
7.345 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
7.347 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
7.348 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
7.348 * [backup-simplify]: Simplify 0.25 into 0.25
7.348 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
7.348 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
7.348 * [taylor]: Taking taylor expansion of 0.5 in i
7.348 * [backup-simplify]: Simplify 0.5 into 0.5
7.348 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
7.348 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
7.348 * [taylor]: Taking taylor expansion of i in i
7.348 * [backup-simplify]: Simplify 0 into 0
7.348 * [backup-simplify]: Simplify 1 into 1
7.348 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
7.348 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
7.348 * [taylor]: Taking taylor expansion of 2.0 in i
7.349 * [backup-simplify]: Simplify 2.0 into 2.0
7.349 * [taylor]: Taking taylor expansion of i in i
7.349 * [backup-simplify]: Simplify 0 into 0
7.349 * [backup-simplify]: Simplify 1 into 1
7.349 * [taylor]: Taking taylor expansion of 2.0 in i
7.349 * [backup-simplify]: Simplify 2.0 into 2.0
7.349 * [backup-simplify]: Simplify (* 2.0 0) into 0
7.350 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.350 * [backup-simplify]: Simplify (* 0 2.0) into 0
7.352 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
7.353 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.354 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
7.355 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
7.356 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
7.356 * [backup-simplify]: Simplify (+ 0 0) into 0
7.359 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
7.362 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
7.364 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
7.365 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
7.366 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
7.373 * [backup-simplify]: Simplify (+ (/ (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
7.373 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
7.373 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
7.373 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
7.374 * [taylor]: Taking taylor expansion of 1.0 in i
7.374 * [backup-simplify]: Simplify 1.0 into 1.0
7.374 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
7.374 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
7.374 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
7.374 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.374 * [taylor]: Taking taylor expansion of alpha in i
7.374 * [backup-simplify]: Simplify alpha into alpha
7.374 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.374 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
7.374 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.374 * [taylor]: Taking taylor expansion of 2.0 in i
7.374 * [backup-simplify]: Simplify 2.0 into 2.0
7.374 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.374 * [taylor]: Taking taylor expansion of i in i
7.374 * [backup-simplify]: Simplify 0 into 0
7.374 * [backup-simplify]: Simplify 1 into 1
7.375 * [backup-simplify]: Simplify (/ 1 1) into 1
7.375 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
7.375 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.375 * [taylor]: Taking taylor expansion of beta in i
7.375 * [backup-simplify]: Simplify beta into beta
7.375 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.375 * [taylor]: Taking taylor expansion of 2.0 in i
7.375 * [backup-simplify]: Simplify 2.0 into 2.0
7.375 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
7.375 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.375 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.376 * [taylor]: Taking taylor expansion of alpha in i
7.376 * [backup-simplify]: Simplify alpha into alpha
7.376 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.376 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.376 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.376 * [taylor]: Taking taylor expansion of 2.0 in i
7.376 * [backup-simplify]: Simplify 2.0 into 2.0
7.376 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.376 * [taylor]: Taking taylor expansion of i in i
7.376 * [backup-simplify]: Simplify 0 into 0
7.376 * [backup-simplify]: Simplify 1 into 1
7.376 * [backup-simplify]: Simplify (/ 1 1) into 1
7.376 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.376 * [taylor]: Taking taylor expansion of beta in i
7.376 * [backup-simplify]: Simplify beta into beta
7.376 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.376 * [taylor]: Taking taylor expansion of (pow beta 2) in i
7.377 * [taylor]: Taking taylor expansion of beta in i
7.377 * [backup-simplify]: Simplify beta into beta
7.377 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.377 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.378 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.378 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.379 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.379 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.380 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.380 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
7.380 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
7.380 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
7.380 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
7.380 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
7.380 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
7.380 * [taylor]: Taking taylor expansion of alpha in i
7.380 * [backup-simplify]: Simplify alpha into alpha
7.380 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
7.380 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
7.380 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.380 * [taylor]: Taking taylor expansion of alpha in i
7.380 * [backup-simplify]: Simplify alpha into alpha
7.381 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.381 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
7.381 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.381 * [taylor]: Taking taylor expansion of 2.0 in i
7.381 * [backup-simplify]: Simplify 2.0 into 2.0
7.381 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.381 * [taylor]: Taking taylor expansion of i in i
7.381 * [backup-simplify]: Simplify 0 into 0
7.381 * [backup-simplify]: Simplify 1 into 1
7.381 * [backup-simplify]: Simplify (/ 1 1) into 1
7.381 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.381 * [taylor]: Taking taylor expansion of beta in i
7.381 * [backup-simplify]: Simplify beta into beta
7.381 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.381 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
7.381 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
7.381 * [taylor]: Taking taylor expansion of alpha in i
7.382 * [backup-simplify]: Simplify alpha into alpha
7.382 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.382 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
7.382 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
7.382 * [taylor]: Taking taylor expansion of 2.0 in i
7.382 * [backup-simplify]: Simplify 2.0 into 2.0
7.382 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.382 * [taylor]: Taking taylor expansion of i in i
7.382 * [backup-simplify]: Simplify 0 into 0
7.382 * [backup-simplify]: Simplify 1 into 1
7.382 * [backup-simplify]: Simplify (/ 1 1) into 1
7.382 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
7.382 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
7.382 * [taylor]: Taking taylor expansion of beta in i
7.382 * [backup-simplify]: Simplify beta into beta
7.382 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.382 * [taylor]: Taking taylor expansion of 2.0 in i
7.382 * [backup-simplify]: Simplify 2.0 into 2.0
7.383 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.383 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.383 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.384 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.384 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
7.385 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
7.385 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.386 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
7.386 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
7.386 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
7.386 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
7.386 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
7.386 * [taylor]: Taking taylor expansion of 1.0 in beta
7.387 * [backup-simplify]: Simplify 1.0 into 1.0
7.387 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
7.387 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
7.387 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
7.387 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.387 * [taylor]: Taking taylor expansion of alpha in beta
7.387 * [backup-simplify]: Simplify alpha into alpha
7.387 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.387 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
7.387 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.387 * [taylor]: Taking taylor expansion of 2.0 in beta
7.387 * [backup-simplify]: Simplify 2.0 into 2.0
7.387 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.387 * [taylor]: Taking taylor expansion of i in beta
7.387 * [backup-simplify]: Simplify i into i
7.387 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.387 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
7.387 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.387 * [taylor]: Taking taylor expansion of beta in beta
7.387 * [backup-simplify]: Simplify 0 into 0
7.387 * [backup-simplify]: Simplify 1 into 1
7.388 * [backup-simplify]: Simplify (/ 1 1) into 1
7.388 * [taylor]: Taking taylor expansion of 2.0 in beta
7.388 * [backup-simplify]: Simplify 2.0 into 2.0
7.388 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
7.388 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.388 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.388 * [taylor]: Taking taylor expansion of alpha in beta
7.389 * [backup-simplify]: Simplify alpha into alpha
7.389 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.389 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.389 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.389 * [taylor]: Taking taylor expansion of 2.0 in beta
7.389 * [backup-simplify]: Simplify 2.0 into 2.0
7.389 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.389 * [taylor]: Taking taylor expansion of i in beta
7.389 * [backup-simplify]: Simplify i into i
7.389 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.389 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.389 * [taylor]: Taking taylor expansion of beta in beta
7.389 * [backup-simplify]: Simplify 0 into 0
7.389 * [backup-simplify]: Simplify 1 into 1
7.390 * [backup-simplify]: Simplify (/ 1 1) into 1
7.390 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.390 * [taylor]: Taking taylor expansion of beta in beta
7.390 * [backup-simplify]: Simplify 0 into 0
7.390 * [backup-simplify]: Simplify 1 into 1
7.390 * [backup-simplify]: Simplify (+ 1 0) into 1
7.391 * [backup-simplify]: Simplify (+ 0 1) into 1
7.391 * [backup-simplify]: Simplify (+ 0 1) into 1
7.392 * [backup-simplify]: Simplify (+ 0 1) into 1
7.392 * [backup-simplify]: Simplify (+ 0 1) into 1
7.392 * [backup-simplify]: Simplify (* 1 1) into 1
7.393 * [backup-simplify]: Simplify (* 1 1) into 1
7.393 * [backup-simplify]: Simplify (* 1 1) into 1
7.394 * [backup-simplify]: Simplify (/ 1 1) into 1
7.394 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
7.394 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
7.394 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
7.394 * [taylor]: Taking taylor expansion of alpha in beta
7.394 * [backup-simplify]: Simplify alpha into alpha
7.394 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
7.394 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
7.394 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.394 * [taylor]: Taking taylor expansion of alpha in beta
7.394 * [backup-simplify]: Simplify alpha into alpha
7.394 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.394 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
7.394 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.394 * [taylor]: Taking taylor expansion of 2.0 in beta
7.394 * [backup-simplify]: Simplify 2.0 into 2.0
7.394 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.394 * [taylor]: Taking taylor expansion of i in beta
7.394 * [backup-simplify]: Simplify i into i
7.394 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.394 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.394 * [taylor]: Taking taylor expansion of beta in beta
7.395 * [backup-simplify]: Simplify 0 into 0
7.395 * [backup-simplify]: Simplify 1 into 1
7.395 * [backup-simplify]: Simplify (/ 1 1) into 1
7.395 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
7.395 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
7.395 * [taylor]: Taking taylor expansion of alpha in beta
7.395 * [backup-simplify]: Simplify alpha into alpha
7.395 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
7.395 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
7.395 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
7.395 * [taylor]: Taking taylor expansion of 2.0 in beta
7.395 * [backup-simplify]: Simplify 2.0 into 2.0
7.396 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.396 * [taylor]: Taking taylor expansion of i in beta
7.396 * [backup-simplify]: Simplify i into i
7.396 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.396 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
7.396 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.396 * [taylor]: Taking taylor expansion of beta in beta
7.396 * [backup-simplify]: Simplify 0 into 0
7.396 * [backup-simplify]: Simplify 1 into 1
7.396 * [backup-simplify]: Simplify (/ 1 1) into 1
7.396 * [taylor]: Taking taylor expansion of 2.0 in beta
7.396 * [backup-simplify]: Simplify 2.0 into 2.0
7.397 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
7.397 * [backup-simplify]: Simplify (+ 0 1) into 1
7.397 * [backup-simplify]: Simplify (+ 0 1) into 1
7.398 * [backup-simplify]: Simplify (+ 1 0) into 1
7.398 * [backup-simplify]: Simplify (+ 0 1) into 1
7.398 * [backup-simplify]: Simplify (+ 0 1) into 1
7.399 * [backup-simplify]: Simplify (* 1 1) into 1
7.399 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
7.399 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
7.399 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
7.400 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
7.400 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.400 * [backup-simplify]: Simplify 1.0 into 1.0
7.400 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
7.400 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
7.400 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.400 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.400 * [taylor]: Taking taylor expansion of alpha in alpha
7.400 * [backup-simplify]: Simplify 0 into 0
7.400 * [backup-simplify]: Simplify 1 into 1
7.401 * [backup-simplify]: Simplify (/ 1 1) into 1
7.401 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.401 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.401 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.401 * [backup-simplify]: Simplify 2.0 into 2.0
7.401 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.401 * [taylor]: Taking taylor expansion of i in alpha
7.401 * [backup-simplify]: Simplify i into i
7.401 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.401 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.401 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.401 * [taylor]: Taking taylor expansion of beta in alpha
7.401 * [backup-simplify]: Simplify beta into beta
7.401 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.401 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.401 * [backup-simplify]: Simplify 2.0 into 2.0
7.401 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
7.401 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.401 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.401 * [taylor]: Taking taylor expansion of alpha in alpha
7.401 * [backup-simplify]: Simplify 0 into 0
7.401 * [backup-simplify]: Simplify 1 into 1
7.402 * [backup-simplify]: Simplify (/ 1 1) into 1
7.402 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.402 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.402 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.402 * [backup-simplify]: Simplify 2.0 into 2.0
7.402 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.402 * [taylor]: Taking taylor expansion of i in alpha
7.402 * [backup-simplify]: Simplify i into i
7.403 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.403 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.403 * [taylor]: Taking taylor expansion of beta in alpha
7.403 * [backup-simplify]: Simplify beta into beta
7.403 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.403 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.403 * [taylor]: Taking taylor expansion of beta in alpha
7.403 * [backup-simplify]: Simplify beta into beta
7.403 * [backup-simplify]: Simplify (+ 1 0) into 1
7.404 * [backup-simplify]: Simplify (+ 1 0) into 1
7.404 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.404 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.404 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.404 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
7.404 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
7.404 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
7.404 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.404 * [taylor]: Taking taylor expansion of alpha in alpha
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [backup-simplify]: Simplify 1 into 1
7.404 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
7.404 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.405 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.405 * [taylor]: Taking taylor expansion of alpha in alpha
7.405 * [backup-simplify]: Simplify 0 into 0
7.405 * [backup-simplify]: Simplify 1 into 1
7.405 * [backup-simplify]: Simplify (/ 1 1) into 1
7.405 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.405 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.405 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.405 * [backup-simplify]: Simplify 2.0 into 2.0
7.405 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.405 * [taylor]: Taking taylor expansion of i in alpha
7.405 * [backup-simplify]: Simplify i into i
7.405 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.405 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.405 * [taylor]: Taking taylor expansion of beta in alpha
7.406 * [backup-simplify]: Simplify beta into beta
7.406 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.406 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.406 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.406 * [taylor]: Taking taylor expansion of alpha in alpha
7.406 * [backup-simplify]: Simplify 0 into 0
7.406 * [backup-simplify]: Simplify 1 into 1
7.406 * [backup-simplify]: Simplify (/ 1 1) into 1
7.406 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.406 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.406 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.406 * [backup-simplify]: Simplify 2.0 into 2.0
7.407 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.407 * [taylor]: Taking taylor expansion of i in alpha
7.407 * [backup-simplify]: Simplify i into i
7.407 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.407 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.407 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.407 * [taylor]: Taking taylor expansion of beta in alpha
7.407 * [backup-simplify]: Simplify beta into beta
7.407 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.407 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.407 * [backup-simplify]: Simplify 2.0 into 2.0
7.407 * [backup-simplify]: Simplify (* 1 1) into 1
7.408 * [backup-simplify]: Simplify (+ 1 0) into 1
7.408 * [backup-simplify]: Simplify (+ 1 0) into 1
7.409 * [backup-simplify]: Simplify (* 1 1) into 1
7.409 * [backup-simplify]: Simplify (* 1 1) into 1
7.410 * [backup-simplify]: Simplify (/ 1 1) into 1
7.410 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
7.410 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
7.410 * [taylor]: Taking taylor expansion of 1.0 in alpha
7.410 * [backup-simplify]: Simplify 1.0 into 1.0
7.410 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
7.410 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
7.410 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.410 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.410 * [taylor]: Taking taylor expansion of alpha in alpha
7.410 * [backup-simplify]: Simplify 0 into 0
7.410 * [backup-simplify]: Simplify 1 into 1
7.410 * [backup-simplify]: Simplify (/ 1 1) into 1
7.410 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.410 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.410 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.411 * [backup-simplify]: Simplify 2.0 into 2.0
7.411 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.411 * [taylor]: Taking taylor expansion of i in alpha
7.411 * [backup-simplify]: Simplify i into i
7.411 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.411 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.411 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.411 * [taylor]: Taking taylor expansion of beta in alpha
7.411 * [backup-simplify]: Simplify beta into beta
7.411 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.411 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.411 * [backup-simplify]: Simplify 2.0 into 2.0
7.411 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
7.411 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.411 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.411 * [taylor]: Taking taylor expansion of alpha in alpha
7.411 * [backup-simplify]: Simplify 0 into 0
7.411 * [backup-simplify]: Simplify 1 into 1
7.411 * [backup-simplify]: Simplify (/ 1 1) into 1
7.412 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.412 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.412 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.412 * [backup-simplify]: Simplify 2.0 into 2.0
7.412 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.412 * [taylor]: Taking taylor expansion of i in alpha
7.412 * [backup-simplify]: Simplify i into i
7.412 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.412 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.412 * [taylor]: Taking taylor expansion of beta in alpha
7.412 * [backup-simplify]: Simplify beta into beta
7.412 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.412 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
7.412 * [taylor]: Taking taylor expansion of beta in alpha
7.412 * [backup-simplify]: Simplify beta into beta
7.413 * [backup-simplify]: Simplify (+ 1 0) into 1
7.413 * [backup-simplify]: Simplify (+ 1 0) into 1
7.413 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
7.414 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.414 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
7.414 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
7.414 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
7.414 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
7.414 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
7.414 * [taylor]: Taking taylor expansion of alpha in alpha
7.414 * [backup-simplify]: Simplify 0 into 0
7.414 * [backup-simplify]: Simplify 1 into 1
7.414 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
7.414 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
7.414 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.414 * [taylor]: Taking taylor expansion of alpha in alpha
7.414 * [backup-simplify]: Simplify 0 into 0
7.414 * [backup-simplify]: Simplify 1 into 1
7.419 * [backup-simplify]: Simplify (/ 1 1) into 1
7.419 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
7.419 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.419 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.419 * [backup-simplify]: Simplify 2.0 into 2.0
7.419 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.419 * [taylor]: Taking taylor expansion of i in alpha
7.419 * [backup-simplify]: Simplify i into i
7.419 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.419 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.420 * [taylor]: Taking taylor expansion of beta in alpha
7.420 * [backup-simplify]: Simplify beta into beta
7.420 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.420 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
7.420 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
7.420 * [taylor]: Taking taylor expansion of alpha in alpha
7.420 * [backup-simplify]: Simplify 0 into 0
7.420 * [backup-simplify]: Simplify 1 into 1
7.420 * [backup-simplify]: Simplify (/ 1 1) into 1
7.420 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
7.420 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
7.420 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.420 * [backup-simplify]: Simplify 2.0 into 2.0
7.420 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
7.420 * [taylor]: Taking taylor expansion of i in alpha
7.420 * [backup-simplify]: Simplify i into i
7.420 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.421 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
7.421 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
7.421 * [taylor]: Taking taylor expansion of beta in alpha
7.421 * [backup-simplify]: Simplify beta into beta
7.421 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
7.421 * [taylor]: Taking taylor expansion of 2.0 in alpha
7.421 * [backup-simplify]: Simplify 2.0 into 2.0
7.421 * [backup-simplify]: Simplify (* 1 1) into 1
7.421 * [backup-simplify]: Simplify (+ 1 0) into 1
7.422 * [backup-simplify]: Simplify (+ 1 0) into 1
7.422 * [backup-simplify]: Simplify (* 1 1) into 1
7.427 * [backup-simplify]: Simplify (* 1 1) into 1
7.427 * [backup-simplify]: Simplify (/ 1 1) into 1
7.428 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
7.428 * [backup-simplify]: Simplify (- 1) into -1
7.429 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
7.429 * [taylor]: Taking taylor expansion of 0 in beta
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [taylor]: Taking taylor expansion of 0 in i
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify (+ 0 0) into 0
7.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.430 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.430 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
7.430 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.431 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.432 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.432 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.432 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.432 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
7.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.434 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
7.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
7.439 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
7.440 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
7.440 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
7.440 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
7.440 * [taylor]: Taking taylor expansion of 4.0 in beta
7.440 * [backup-simplify]: Simplify 4.0 into 4.0
7.440 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.440 * [taylor]: Taking taylor expansion of i in beta
7.440 * [backup-simplify]: Simplify i into i
7.440 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.440 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
7.440 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
7.440 * [taylor]: Taking taylor expansion of 2 in beta
7.440 * [backup-simplify]: Simplify 2 into 2
7.440 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.440 * [taylor]: Taking taylor expansion of beta in beta
7.440 * [backup-simplify]: Simplify 0 into 0
7.440 * [backup-simplify]: Simplify 1 into 1
7.441 * [backup-simplify]: Simplify (/ 1 1) into 1
7.441 * [taylor]: Taking taylor expansion of 2.0 in beta
7.441 * [backup-simplify]: Simplify 2.0 into 2.0
7.441 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
7.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.447 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
7.447 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.447 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
7.448 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
7.448 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
7.448 * [taylor]: Taking taylor expansion of 4.0 in i
7.448 * [backup-simplify]: Simplify 4.0 into 4.0
7.448 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.448 * [taylor]: Taking taylor expansion of i in i
7.448 * [backup-simplify]: Simplify 0 into 0
7.448 * [backup-simplify]: Simplify 1 into 1
7.448 * [backup-simplify]: Simplify (/ 1 1) into 1
7.448 * [taylor]: Taking taylor expansion of 2.0 in i
7.448 * [backup-simplify]: Simplify 2.0 into 2.0
7.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.453 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
7.453 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
7.453 * [backup-simplify]: Simplify 2.0 into 2.0
7.453 * [taylor]: Taking taylor expansion of 0 in i
7.453 * [backup-simplify]: Simplify 0 into 0
7.453 * [backup-simplify]: Simplify 0 into 0
7.453 * [backup-simplify]: Simplify 0 into 0
7.454 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
7.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.455 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.455 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.456 * [backup-simplify]: Simplify (+ 0 0) into 0
7.456 * [backup-simplify]: Simplify (+ 0 0) into 0
7.456 * [backup-simplify]: Simplify (+ 0 0) into 0
7.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.458 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
7.458 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
7.467 * [backup-simplify]: Simplify (+ 0 0) into 0
7.468 * [backup-simplify]: Simplify (+ 0 0) into 0
7.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
7.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.482 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
7.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
7.485 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
7.495 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
7.495 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
7.495 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
7.495 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
7.495 * [taylor]: Taking taylor expansion of 2 in beta
7.495 * [backup-simplify]: Simplify 2 into 2
7.495 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.495 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.495 * [taylor]: Taking taylor expansion of beta in beta
7.496 * [backup-simplify]: Simplify 0 into 0
7.496 * [backup-simplify]: Simplify 1 into 1
7.496 * [backup-simplify]: Simplify (* 1 1) into 1
7.497 * [backup-simplify]: Simplify (/ 1 1) into 1
7.497 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
7.497 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
7.497 * [taylor]: Taking taylor expansion of 12.0 in beta
7.497 * [backup-simplify]: Simplify 12.0 into 12.0
7.497 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.497 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.497 * [taylor]: Taking taylor expansion of i in beta
7.497 * [backup-simplify]: Simplify i into i
7.497 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.497 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.497 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
7.497 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
7.497 * [taylor]: Taking taylor expansion of 6.0 in beta
7.497 * [backup-simplify]: Simplify 6.0 into 6.0
7.497 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.497 * [taylor]: Taking taylor expansion of beta in beta
7.497 * [backup-simplify]: Simplify 0 into 0
7.497 * [backup-simplify]: Simplify 1 into 1
7.498 * [backup-simplify]: Simplify (/ 1 1) into 1
7.498 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
7.498 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
7.498 * [taylor]: Taking taylor expansion of 12.0 in beta
7.498 * [backup-simplify]: Simplify 12.0 into 12.0
7.498 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.498 * [taylor]: Taking taylor expansion of i in beta
7.498 * [backup-simplify]: Simplify i into i
7.499 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.499 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
7.499 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
7.500 * [taylor]: Taking taylor expansion of 12.0 in beta
7.500 * [backup-simplify]: Simplify 12.0 into 12.0
7.500 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.500 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.500 * [taylor]: Taking taylor expansion of i in beta
7.500 * [backup-simplify]: Simplify i into i
7.500 * [taylor]: Taking taylor expansion of beta in beta
7.500 * [backup-simplify]: Simplify 0 into 0
7.500 * [backup-simplify]: Simplify 1 into 1
7.500 * [backup-simplify]: Simplify (* i 0) into 0
7.500 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.501 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.501 * [taylor]: Taking taylor expansion of 4.0 in beta
7.501 * [backup-simplify]: Simplify 4.0 into 4.0
7.507 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.511 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.511 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
7.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.513 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
7.513 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
7.514 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.514 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.520 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
7.521 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.521 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
7.522 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
7.522 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
7.523 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
7.523 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
7.523 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
7.523 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
7.523 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
7.523 * [taylor]: Taking taylor expansion of 12.0 in i
7.523 * [backup-simplify]: Simplify 12.0 into 12.0
7.523 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
7.523 * [taylor]: Taking taylor expansion of (pow i 2) in i
7.523 * [taylor]: Taking taylor expansion of i in i
7.523 * [backup-simplify]: Simplify 0 into 0
7.523 * [backup-simplify]: Simplify 1 into 1
7.524 * [backup-simplify]: Simplify (* 1 1) into 1
7.524 * [backup-simplify]: Simplify (/ 1 1) into 1
7.524 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
7.524 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
7.524 * [taylor]: Taking taylor expansion of 12.0 in i
7.524 * [backup-simplify]: Simplify 12.0 into 12.0
7.524 * [taylor]: Taking taylor expansion of (/ 1 i) in i
7.524 * [taylor]: Taking taylor expansion of i in i
7.524 * [backup-simplify]: Simplify 0 into 0
7.524 * [backup-simplify]: Simplify 1 into 1
7.525 * [backup-simplify]: Simplify (/ 1 1) into 1
7.525 * [taylor]: Taking taylor expansion of 4.0 in i
7.525 * [backup-simplify]: Simplify 4.0 into 4.0
7.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.534 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.537 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.538 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
7.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.552 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
7.552 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.553 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
7.553 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
7.553 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
7.554 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.559 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
7.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.562 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
7.562 * [backup-simplify]: Simplify (+ 0 0) into 0
7.562 * [backup-simplify]: Simplify (+ 0 0) into 0
7.563 * [taylor]: Taking taylor expansion of 0 in i
7.563 * [backup-simplify]: Simplify 0 into 0
7.563 * [backup-simplify]: Simplify 0 into 0
7.563 * [taylor]: Taking taylor expansion of 0 in i
7.563 * [backup-simplify]: Simplify 0 into 0
7.563 * [backup-simplify]: Simplify 0 into 0
7.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.565 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
7.565 * [backup-simplify]: Simplify (+ 0 0) into 0
7.565 * [backup-simplify]: Simplify 0 into 0
7.565 * [backup-simplify]: Simplify 0 into 0
7.565 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
7.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.571 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.571 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.571 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
7.572 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
7.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.573 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
7.574 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
7.574 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.574 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
7.579 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
7.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
7.582 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
7.587 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.595 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
7.595 * [backup-simplify]: Simplify (+ 0 0) into 0
7.596 * [backup-simplify]: Simplify (+ 0 0) into 0
7.596 * [backup-simplify]: Simplify (+ 0 0) into 0
7.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.597 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.602 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.603 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
7.604 * [backup-simplify]: Simplify (+ 0 0) into 0
7.604 * [backup-simplify]: Simplify (+ 0 0) into 0
7.606 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
7.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
7.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
7.640 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
7.678 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
7.678 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
7.678 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
7.678 * [taylor]: Taking taylor expansion of 20.0 in beta
7.679 * [backup-simplify]: Simplify 20.0 into 20.0
7.679 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
7.679 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
7.679 * [taylor]: Taking taylor expansion of i in beta
7.679 * [backup-simplify]: Simplify i into i
7.679 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.679 * [taylor]: Taking taylor expansion of beta in beta
7.679 * [backup-simplify]: Simplify 0 into 0
7.679 * [backup-simplify]: Simplify 1 into 1
7.679 * [backup-simplify]: Simplify (* 1 1) into 1
7.679 * [backup-simplify]: Simplify (* i 1) into i
7.680 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.680 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
7.680 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
7.680 * [taylor]: Taking taylor expansion of 48.0 in beta
7.680 * [backup-simplify]: Simplify 48.0 into 48.0
7.680 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
7.680 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.680 * [taylor]: Taking taylor expansion of i in beta
7.680 * [backup-simplify]: Simplify i into i
7.680 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.680 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.680 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
7.680 * [taylor]: Taking taylor expansion of 8.0 in beta
7.680 * [backup-simplify]: Simplify 8.0 into 8.0
7.680 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
7.680 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
7.680 * [taylor]: Taking taylor expansion of 10.0 in beta
7.680 * [backup-simplify]: Simplify 10.0 into 10.0
7.680 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
7.680 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
7.680 * [taylor]: Taking taylor expansion of beta in beta
7.680 * [backup-simplify]: Simplify 0 into 0
7.681 * [backup-simplify]: Simplify 1 into 1
7.724 * [backup-simplify]: Simplify (* 1 1) into 1
7.725 * [backup-simplify]: Simplify (/ 1 1) into 1
7.725 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
7.725 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
7.725 * [taylor]: Taking taylor expansion of 48.0 in beta
7.725 * [backup-simplify]: Simplify 48.0 into 48.0
7.725 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
7.725 * [taylor]: Taking taylor expansion of (* i beta) in beta
7.725 * [taylor]: Taking taylor expansion of i in beta
7.725 * [backup-simplify]: Simplify i into i
7.725 * [taylor]: Taking taylor expansion of beta in beta
7.725 * [backup-simplify]: Simplify 0 into 0
7.725 * [backup-simplify]: Simplify 1 into 1
7.725 * [backup-simplify]: Simplify (* i 0) into 0
7.726 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
7.726 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.726 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
7.726 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
7.726 * [taylor]: Taking taylor expansion of 2 in beta
7.726 * [backup-simplify]: Simplify 2 into 2
7.726 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
7.726 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
7.726 * [taylor]: Taking taylor expansion of beta in beta
7.726 * [backup-simplify]: Simplify 0 into 0
7.726 * [backup-simplify]: Simplify 1 into 1
7.727 * [backup-simplify]: Simplify (* 1 1) into 1
7.728 * [backup-simplify]: Simplify (* 1 1) into 1
7.728 * [backup-simplify]: Simplify (/ 1 1) into 1
7.728 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
7.728 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
7.728 * [taylor]: Taking taylor expansion of 48.0 in beta
7.728 * [backup-simplify]: Simplify 48.0 into 48.0
7.728 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
7.728 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
7.728 * [taylor]: Taking taylor expansion of (pow i 2) in beta
7.728 * [taylor]: Taking taylor expansion of i in beta
7.728 * [backup-simplify]: Simplify i into i
7.729 * [taylor]: Taking taylor expansion of beta in beta
7.729 * [backup-simplify]: Simplify 0 into 0
7.729 * [backup-simplify]: Simplify 1 into 1
7.729 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.729 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
7.729 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
7.730 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
7.730 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
7.730 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
7.730 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
7.730 * [taylor]: Taking taylor expansion of 32.0 in beta
7.730 * [backup-simplify]: Simplify 32.0 into 32.0
7.730 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
7.731 * [taylor]: Taking taylor expansion of i in beta
7.731 * [backup-simplify]: Simplify i into i
7.731 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
7.731 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
7.731 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
7.731 * [taylor]: Taking taylor expansion of 16.0 in beta
7.731 * [backup-simplify]: Simplify 16.0 into 16.0
7.731 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
7.731 * [taylor]: Taking taylor expansion of beta in beta
7.731 * [backup-simplify]: Simplify 0 into 0
7.731 * [backup-simplify]: Simplify 1 into 1
7.731 * [backup-simplify]: Simplify (/ 1 1) into 1
7.731 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
7.731 * [taylor]: Taking taylor expansion of 32.0 in beta
7.731 * [backup-simplify]: Simplify 32.0 into 32.0
7.732 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
7.732 * [taylor]: Taking taylor expansion of (pow i 3) in beta
7.732 * [taylor]: Taking taylor expansion of i in beta
7.732 * [backup-simplify]: Simplify i into i
7.732 * [backup-simplify]: Simplify (* i i) into (pow i 2)
7.732 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
7.732 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
7.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.743 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
7.744 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
7.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
7.745 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
7.745 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
7.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.755 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
7.756 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
7.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
7.756 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
7.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.766 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.044 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
8.045 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
8.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
8.047 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
8.047 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
8.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.059 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
8.059 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
8.059 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
8.060 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
8.060 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.061 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.061 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.061 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.062 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
8.068 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
8.069 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
8.069 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
8.070 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
8.071 * [taylor]: Taking taylor expansion of 48.0 in i
8.071 * [backup-simplify]: Simplify 48.0 into 48.0
8.071 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.071 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.071 * [taylor]: Taking taylor expansion of i in i
8.071 * [backup-simplify]: Simplify 0 into 0
8.071 * [backup-simplify]: Simplify 1 into 1
8.071 * [backup-simplify]: Simplify (* 1 1) into 1
8.072 * [backup-simplify]: Simplify (/ 1 1) into 1
8.072 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
8.072 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
8.072 * [taylor]: Taking taylor expansion of 32.0 in i
8.072 * [backup-simplify]: Simplify 32.0 into 32.0
8.072 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
8.072 * [taylor]: Taking taylor expansion of (pow i 3) in i
8.072 * [taylor]: Taking taylor expansion of i in i
8.072 * [backup-simplify]: Simplify 0 into 0
8.072 * [backup-simplify]: Simplify 1 into 1
8.073 * [backup-simplify]: Simplify (* 1 1) into 1
8.073 * [backup-simplify]: Simplify (* 1 1) into 1
8.084 * [backup-simplify]: Simplify (/ 1 1) into 1
8.084 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
8.084 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
8.084 * [taylor]: Taking taylor expansion of 32.0 in i
8.084 * [backup-simplify]: Simplify 32.0 into 32.0
8.084 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.084 * [taylor]: Taking taylor expansion of i in i
8.084 * [backup-simplify]: Simplify 0 into 0
8.085 * [backup-simplify]: Simplify 1 into 1
8.085 * [backup-simplify]: Simplify (/ 1 1) into 1
8.085 * [taylor]: Taking taylor expansion of 8.0 in i
8.085 * [backup-simplify]: Simplify 8.0 into 8.0
8.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.099 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
8.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.132 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.134 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
8.134 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
8.135 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
8.135 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
8.135 * [backup-simplify]: Simplify 8.0 into 8.0
8.148 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
8.149 * [backup-simplify]: Simplify (+ (/ (/ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (- (/ 1 (- beta)) (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
8.149 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
8.149 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
8.150 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
8.150 * [taylor]: Taking taylor expansion of 1.0 in i
8.150 * [backup-simplify]: Simplify 1.0 into 1.0
8.150 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
8.150 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
8.150 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
8.150 * [taylor]: Taking taylor expansion of alpha in i
8.150 * [backup-simplify]: Simplify alpha into alpha
8.150 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.150 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.150 * [taylor]: Taking taylor expansion of 2.0 in i
8.150 * [backup-simplify]: Simplify 2.0 into 2.0
8.150 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.150 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.150 * [taylor]: Taking taylor expansion of alpha in i
8.150 * [backup-simplify]: Simplify alpha into alpha
8.150 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.150 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.150 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.150 * [taylor]: Taking taylor expansion of 2.0 in i
8.150 * [backup-simplify]: Simplify 2.0 into 2.0
8.150 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.150 * [taylor]: Taking taylor expansion of i in i
8.150 * [backup-simplify]: Simplify 0 into 0
8.150 * [backup-simplify]: Simplify 1 into 1
8.151 * [backup-simplify]: Simplify (/ 1 1) into 1
8.151 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.151 * [taylor]: Taking taylor expansion of beta in i
8.151 * [backup-simplify]: Simplify beta into beta
8.151 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.151 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.151 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.151 * [taylor]: Taking taylor expansion of alpha in i
8.151 * [backup-simplify]: Simplify alpha into alpha
8.151 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.151 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.151 * [taylor]: Taking taylor expansion of 2.0 in i
8.151 * [backup-simplify]: Simplify 2.0 into 2.0
8.151 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.151 * [taylor]: Taking taylor expansion of i in i
8.151 * [backup-simplify]: Simplify 0 into 0
8.151 * [backup-simplify]: Simplify 1 into 1
8.152 * [backup-simplify]: Simplify (/ 1 1) into 1
8.152 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.152 * [taylor]: Taking taylor expansion of beta in i
8.152 * [backup-simplify]: Simplify beta into beta
8.152 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.152 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.152 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.153 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.153 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.154 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.167 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.167 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.168 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.168 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.169 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
8.169 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
8.169 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
8.170 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
8.170 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
8.170 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.170 * [taylor]: Taking taylor expansion of 2.0 in i
8.170 * [backup-simplify]: Simplify 2.0 into 2.0
8.170 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.170 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.170 * [taylor]: Taking taylor expansion of alpha in i
8.170 * [backup-simplify]: Simplify alpha into alpha
8.170 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.170 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.170 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.170 * [taylor]: Taking taylor expansion of 2.0 in i
8.170 * [backup-simplify]: Simplify 2.0 into 2.0
8.170 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.170 * [taylor]: Taking taylor expansion of i in i
8.170 * [backup-simplify]: Simplify 0 into 0
8.170 * [backup-simplify]: Simplify 1 into 1
8.171 * [backup-simplify]: Simplify (/ 1 1) into 1
8.171 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.171 * [taylor]: Taking taylor expansion of beta in i
8.171 * [backup-simplify]: Simplify beta into beta
8.171 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
8.171 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.171 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.171 * [taylor]: Taking taylor expansion of alpha in i
8.171 * [backup-simplify]: Simplify alpha into alpha
8.171 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.171 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.171 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.171 * [taylor]: Taking taylor expansion of 2.0 in i
8.171 * [backup-simplify]: Simplify 2.0 into 2.0
8.171 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.171 * [taylor]: Taking taylor expansion of i in i
8.171 * [backup-simplify]: Simplify 0 into 0
8.171 * [backup-simplify]: Simplify 1 into 1
8.172 * [backup-simplify]: Simplify (/ 1 1) into 1
8.172 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.172 * [taylor]: Taking taylor expansion of beta in i
8.172 * [backup-simplify]: Simplify beta into beta
8.172 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.172 * [taylor]: Taking taylor expansion of (pow beta 2) in i
8.172 * [taylor]: Taking taylor expansion of beta in i
8.172 * [backup-simplify]: Simplify beta into beta
8.173 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.173 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.173 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.174 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.175 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.175 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.176 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.176 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.176 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.176 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
8.177 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
8.177 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
8.177 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
8.177 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
8.177 * [taylor]: Taking taylor expansion of 1.0 in beta
8.177 * [backup-simplify]: Simplify 1.0 into 1.0
8.177 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
8.177 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
8.177 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
8.177 * [taylor]: Taking taylor expansion of alpha in beta
8.177 * [backup-simplify]: Simplify alpha into alpha
8.178 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.178 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.178 * [taylor]: Taking taylor expansion of 2.0 in beta
8.178 * [backup-simplify]: Simplify 2.0 into 2.0
8.178 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.178 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.178 * [taylor]: Taking taylor expansion of alpha in beta
8.178 * [backup-simplify]: Simplify alpha into alpha
8.178 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.178 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.178 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.178 * [taylor]: Taking taylor expansion of 2.0 in beta
8.178 * [backup-simplify]: Simplify 2.0 into 2.0
8.178 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.178 * [taylor]: Taking taylor expansion of i in beta
8.178 * [backup-simplify]: Simplify i into i
8.178 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.178 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.178 * [taylor]: Taking taylor expansion of beta in beta
8.178 * [backup-simplify]: Simplify 0 into 0
8.178 * [backup-simplify]: Simplify 1 into 1
8.179 * [backup-simplify]: Simplify (/ 1 1) into 1
8.179 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.179 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.179 * [taylor]: Taking taylor expansion of alpha in beta
8.179 * [backup-simplify]: Simplify alpha into alpha
8.179 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.179 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.179 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.179 * [taylor]: Taking taylor expansion of 2.0 in beta
8.179 * [backup-simplify]: Simplify 2.0 into 2.0
8.179 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.179 * [taylor]: Taking taylor expansion of i in beta
8.179 * [backup-simplify]: Simplify i into i
8.179 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.179 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.179 * [taylor]: Taking taylor expansion of beta in beta
8.179 * [backup-simplify]: Simplify 0 into 0
8.180 * [backup-simplify]: Simplify 1 into 1
8.180 * [backup-simplify]: Simplify (/ 1 1) into 1
8.180 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
8.180 * [backup-simplify]: Simplify (+ 0 1) into 1
8.181 * [backup-simplify]: Simplify (+ 0 1) into 1
8.181 * [backup-simplify]: Simplify (- 1) into -1
8.198 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.199 * [backup-simplify]: Simplify (+ 0 1) into 1
8.200 * [backup-simplify]: Simplify (+ 0 1) into 1
8.200 * [backup-simplify]: Simplify (* -1 1) into -1
8.200 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
8.201 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
8.201 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
8.201 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
8.201 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.201 * [taylor]: Taking taylor expansion of 2.0 in beta
8.201 * [backup-simplify]: Simplify 2.0 into 2.0
8.201 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.201 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.201 * [taylor]: Taking taylor expansion of alpha in beta
8.201 * [backup-simplify]: Simplify alpha into alpha
8.201 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.201 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.201 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.201 * [taylor]: Taking taylor expansion of 2.0 in beta
8.201 * [backup-simplify]: Simplify 2.0 into 2.0
8.201 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.201 * [taylor]: Taking taylor expansion of i in beta
8.201 * [backup-simplify]: Simplify i into i
8.201 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.201 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.201 * [taylor]: Taking taylor expansion of beta in beta
8.201 * [backup-simplify]: Simplify 0 into 0
8.201 * [backup-simplify]: Simplify 1 into 1
8.202 * [backup-simplify]: Simplify (/ 1 1) into 1
8.202 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
8.202 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.202 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.202 * [taylor]: Taking taylor expansion of alpha in beta
8.202 * [backup-simplify]: Simplify alpha into alpha
8.202 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.202 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.202 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.202 * [taylor]: Taking taylor expansion of 2.0 in beta
8.202 * [backup-simplify]: Simplify 2.0 into 2.0
8.202 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.203 * [taylor]: Taking taylor expansion of i in beta
8.203 * [backup-simplify]: Simplify i into i
8.203 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.203 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.203 * [taylor]: Taking taylor expansion of beta in beta
8.203 * [backup-simplify]: Simplify 0 into 0
8.203 * [backup-simplify]: Simplify 1 into 1
8.203 * [backup-simplify]: Simplify (/ 1 1) into 1
8.203 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.203 * [taylor]: Taking taylor expansion of beta in beta
8.203 * [backup-simplify]: Simplify 0 into 0
8.203 * [backup-simplify]: Simplify 1 into 1
8.204 * [backup-simplify]: Simplify (+ 0 1) into 1
8.204 * [backup-simplify]: Simplify (+ 0 1) into 1
8.205 * [backup-simplify]: Simplify (- 1) into -1
8.205 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.205 * [backup-simplify]: Simplify (+ 0 1) into 1
8.206 * [backup-simplify]: Simplify (+ 0 1) into 1
8.206 * [backup-simplify]: Simplify (* 1 1) into 1
8.207 * [backup-simplify]: Simplify (* 1 1) into 1
8.207 * [backup-simplify]: Simplify (* -1 1) into -1
8.207 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.208 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
8.208 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
8.208 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.208 * [backup-simplify]: Simplify 1.0 into 1.0
8.208 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
8.208 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
8.208 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.208 * [taylor]: Taking taylor expansion of alpha in alpha
8.208 * [backup-simplify]: Simplify 0 into 0
8.208 * [backup-simplify]: Simplify 1 into 1
8.208 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.208 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.208 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.208 * [backup-simplify]: Simplify 2.0 into 2.0
8.208 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.208 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.208 * [taylor]: Taking taylor expansion of alpha in alpha
8.208 * [backup-simplify]: Simplify 0 into 0
8.208 * [backup-simplify]: Simplify 1 into 1
8.209 * [backup-simplify]: Simplify (/ 1 1) into 1
8.209 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.209 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.209 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.209 * [backup-simplify]: Simplify 2.0 into 2.0
8.209 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.209 * [taylor]: Taking taylor expansion of i in alpha
8.209 * [backup-simplify]: Simplify i into i
8.209 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.209 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.209 * [taylor]: Taking taylor expansion of beta in alpha
8.209 * [backup-simplify]: Simplify beta into beta
8.209 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.209 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.209 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.209 * [taylor]: Taking taylor expansion of alpha in alpha
8.209 * [backup-simplify]: Simplify 0 into 0
8.209 * [backup-simplify]: Simplify 1 into 1
8.210 * [backup-simplify]: Simplify (/ 1 1) into 1
8.210 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.210 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.210 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.210 * [backup-simplify]: Simplify 2.0 into 2.0
8.210 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.210 * [taylor]: Taking taylor expansion of i in alpha
8.210 * [backup-simplify]: Simplify i into i
8.210 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.210 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.210 * [taylor]: Taking taylor expansion of beta in alpha
8.210 * [backup-simplify]: Simplify beta into beta
8.210 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.211 * [backup-simplify]: Simplify (* 1 1) into 1
8.211 * [backup-simplify]: Simplify (+ 1 0) into 1
8.212 * [backup-simplify]: Simplify (- 1) into -1
8.212 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.212 * [backup-simplify]: Simplify (+ 1 0) into 1
8.213 * [backup-simplify]: Simplify (* -1 1) into -1
8.213 * [backup-simplify]: Simplify (* 1 -1) into -1
8.214 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.214 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
8.214 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
8.214 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.214 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.214 * [backup-simplify]: Simplify 2.0 into 2.0
8.214 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.214 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.214 * [taylor]: Taking taylor expansion of alpha in alpha
8.214 * [backup-simplify]: Simplify 0 into 0
8.214 * [backup-simplify]: Simplify 1 into 1
8.215 * [backup-simplify]: Simplify (/ 1 1) into 1
8.215 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.215 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.215 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.215 * [backup-simplify]: Simplify 2.0 into 2.0
8.215 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.215 * [taylor]: Taking taylor expansion of i in alpha
8.215 * [backup-simplify]: Simplify i into i
8.215 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.215 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.215 * [taylor]: Taking taylor expansion of beta in alpha
8.215 * [backup-simplify]: Simplify beta into beta
8.215 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.215 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
8.215 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.215 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.215 * [taylor]: Taking taylor expansion of alpha in alpha
8.215 * [backup-simplify]: Simplify 0 into 0
8.215 * [backup-simplify]: Simplify 1 into 1
8.216 * [backup-simplify]: Simplify (/ 1 1) into 1
8.216 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.216 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.216 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.216 * [backup-simplify]: Simplify 2.0 into 2.0
8.216 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.216 * [taylor]: Taking taylor expansion of i in alpha
8.216 * [backup-simplify]: Simplify i into i
8.217 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.217 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.217 * [taylor]: Taking taylor expansion of beta in alpha
8.217 * [backup-simplify]: Simplify beta into beta
8.217 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.217 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.217 * [taylor]: Taking taylor expansion of beta in alpha
8.217 * [backup-simplify]: Simplify beta into beta
8.218 * [backup-simplify]: Simplify (+ 1 0) into 1
8.218 * [backup-simplify]: Simplify (- 1) into -1
8.219 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.222 * [backup-simplify]: Simplify (+ 1 0) into 1
8.223 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.223 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.223 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
8.223 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
8.223 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
8.223 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
8.223 * [taylor]: Taking taylor expansion of 1.0 in alpha
8.223 * [backup-simplify]: Simplify 1.0 into 1.0
8.223 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
8.223 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
8.224 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
8.224 * [taylor]: Taking taylor expansion of alpha in alpha
8.224 * [backup-simplify]: Simplify 0 into 0
8.224 * [backup-simplify]: Simplify 1 into 1
8.224 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.224 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.224 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.224 * [backup-simplify]: Simplify 2.0 into 2.0
8.224 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.224 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.224 * [taylor]: Taking taylor expansion of alpha in alpha
8.224 * [backup-simplify]: Simplify 0 into 0
8.224 * [backup-simplify]: Simplify 1 into 1
8.224 * [backup-simplify]: Simplify (/ 1 1) into 1
8.225 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.225 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.225 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.225 * [backup-simplify]: Simplify 2.0 into 2.0
8.225 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.225 * [taylor]: Taking taylor expansion of i in alpha
8.225 * [backup-simplify]: Simplify i into i
8.225 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.225 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.225 * [taylor]: Taking taylor expansion of beta in alpha
8.225 * [backup-simplify]: Simplify beta into beta
8.225 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.225 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.225 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.225 * [taylor]: Taking taylor expansion of alpha in alpha
8.225 * [backup-simplify]: Simplify 0 into 0
8.225 * [backup-simplify]: Simplify 1 into 1
8.226 * [backup-simplify]: Simplify (/ 1 1) into 1
8.226 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.226 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.226 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.226 * [backup-simplify]: Simplify 2.0 into 2.0
8.226 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.226 * [taylor]: Taking taylor expansion of i in alpha
8.226 * [backup-simplify]: Simplify i into i
8.226 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.226 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.226 * [taylor]: Taking taylor expansion of beta in alpha
8.226 * [backup-simplify]: Simplify beta into beta
8.226 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.227 * [backup-simplify]: Simplify (* 1 1) into 1
8.227 * [backup-simplify]: Simplify (+ 1 0) into 1
8.228 * [backup-simplify]: Simplify (- 1) into -1
8.228 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.229 * [backup-simplify]: Simplify (+ 1 0) into 1
8.229 * [backup-simplify]: Simplify (* -1 1) into -1
8.229 * [backup-simplify]: Simplify (* 1 -1) into -1
8.230 * [backup-simplify]: Simplify (/ 1 -1) into -1
8.230 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
8.230 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
8.230 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
8.230 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.230 * [backup-simplify]: Simplify 2.0 into 2.0
8.230 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.230 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.230 * [taylor]: Taking taylor expansion of alpha in alpha
8.230 * [backup-simplify]: Simplify 0 into 0
8.230 * [backup-simplify]: Simplify 1 into 1
8.231 * [backup-simplify]: Simplify (/ 1 1) into 1
8.231 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.231 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.231 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.231 * [backup-simplify]: Simplify 2.0 into 2.0
8.231 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.231 * [taylor]: Taking taylor expansion of i in alpha
8.231 * [backup-simplify]: Simplify i into i
8.231 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.231 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.231 * [taylor]: Taking taylor expansion of beta in alpha
8.231 * [backup-simplify]: Simplify beta into beta
8.231 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.231 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
8.231 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
8.231 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
8.231 * [taylor]: Taking taylor expansion of alpha in alpha
8.231 * [backup-simplify]: Simplify 0 into 0
8.231 * [backup-simplify]: Simplify 1 into 1
8.232 * [backup-simplify]: Simplify (/ 1 1) into 1
8.232 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
8.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
8.232 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.232 * [backup-simplify]: Simplify 2.0 into 2.0
8.232 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
8.232 * [taylor]: Taking taylor expansion of i in alpha
8.232 * [backup-simplify]: Simplify i into i
8.232 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.232 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
8.232 * [taylor]: Taking taylor expansion of beta in alpha
8.232 * [backup-simplify]: Simplify beta into beta
8.232 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.232 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
8.232 * [taylor]: Taking taylor expansion of beta in alpha
8.232 * [backup-simplify]: Simplify beta into beta
8.233 * [backup-simplify]: Simplify (+ 1 0) into 1
8.233 * [backup-simplify]: Simplify (- 1) into -1
8.234 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.234 * [backup-simplify]: Simplify (+ 1 0) into 1
8.234 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.235 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
8.235 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
8.235 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
8.236 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
8.236 * [backup-simplify]: Simplify (+ 0 0) into 0
8.236 * [taylor]: Taking taylor expansion of 0 in beta
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [taylor]: Taking taylor expansion of 0 in i
8.236 * [backup-simplify]: Simplify 0 into 0
8.236 * [backup-simplify]: Simplify 0 into 0
8.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.237 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.238 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.238 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.239 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.239 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.240 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.240 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.240 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.241 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
8.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.242 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
8.243 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
8.243 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
8.244 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
8.244 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
8.244 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
8.244 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
8.244 * [taylor]: Taking taylor expansion of 4.0 in beta
8.244 * [backup-simplify]: Simplify 4.0 into 4.0
8.244 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.244 * [taylor]: Taking taylor expansion of i in beta
8.244 * [backup-simplify]: Simplify i into i
8.244 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.244 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
8.244 * [taylor]: Taking taylor expansion of 2 in beta
8.244 * [backup-simplify]: Simplify 2 into 2
8.244 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.244 * [taylor]: Taking taylor expansion of beta in beta
8.244 * [backup-simplify]: Simplify 0 into 0
8.244 * [backup-simplify]: Simplify 1 into 1
8.245 * [backup-simplify]: Simplify (/ 1 1) into 1
8.245 * [taylor]: Taking taylor expansion of 2.0 in beta
8.245 * [backup-simplify]: Simplify 2.0 into 2.0
8.245 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
8.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.247 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
8.247 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
8.247 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.263 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
8.263 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
8.263 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
8.263 * [taylor]: Taking taylor expansion of 4.0 in i
8.263 * [backup-simplify]: Simplify 4.0 into 4.0
8.263 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.263 * [taylor]: Taking taylor expansion of i in i
8.263 * [backup-simplify]: Simplify 0 into 0
8.263 * [backup-simplify]: Simplify 1 into 1
8.263 * [backup-simplify]: Simplify (/ 1 1) into 1
8.264 * [taylor]: Taking taylor expansion of 2.0 in i
8.264 * [backup-simplify]: Simplify 2.0 into 2.0
8.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.265 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
8.283 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.284 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
8.284 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
8.285 * [taylor]: Taking taylor expansion of 0 in i
8.285 * [backup-simplify]: Simplify 0 into 0
8.285 * [backup-simplify]: Simplify 0 into 0
8.285 * [backup-simplify]: Simplify 0 into 0
8.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.287 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.287 * [backup-simplify]: Simplify (+ 0 0) into 0
8.288 * [backup-simplify]: Simplify (+ 0 0) into 0
8.289 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.289 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.289 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
8.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
8.290 * [backup-simplify]: Simplify (+ 0 0) into 0
8.297 * [backup-simplify]: Simplify (+ 0 0) into 0
8.297 * [backup-simplify]: Simplify (- 0) into 0
8.298 * [backup-simplify]: Simplify (+ 0 0) into 0
8.300 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
8.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.304 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
8.307 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
8.308 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
8.309 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
8.310 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
8.310 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
8.310 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
8.310 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
8.310 * [taylor]: Taking taylor expansion of 12.0 in beta
8.310 * [backup-simplify]: Simplify 12.0 into 12.0
8.310 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.310 * [taylor]: Taking taylor expansion of i in beta
8.310 * [backup-simplify]: Simplify i into i
8.310 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.310 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
8.310 * [taylor]: Taking taylor expansion of 6.0 in beta
8.310 * [backup-simplify]: Simplify 6.0 into 6.0
8.310 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.310 * [taylor]: Taking taylor expansion of beta in beta
8.311 * [backup-simplify]: Simplify 0 into 0
8.311 * [backup-simplify]: Simplify 1 into 1
8.311 * [backup-simplify]: Simplify (/ 1 1) into 1
8.311 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
8.311 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
8.311 * [taylor]: Taking taylor expansion of 12.0 in beta
8.311 * [backup-simplify]: Simplify 12.0 into 12.0
8.311 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.311 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.311 * [taylor]: Taking taylor expansion of i in beta
8.311 * [backup-simplify]: Simplify i into i
8.312 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.312 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.312 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
8.312 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
8.312 * [taylor]: Taking taylor expansion of 12.0 in beta
8.312 * [backup-simplify]: Simplify 12.0 into 12.0
8.312 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.312 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.312 * [taylor]: Taking taylor expansion of i in beta
8.312 * [backup-simplify]: Simplify i into i
8.312 * [taylor]: Taking taylor expansion of beta in beta
8.312 * [backup-simplify]: Simplify 0 into 0
8.312 * [backup-simplify]: Simplify 1 into 1
8.312 * [backup-simplify]: Simplify (* i 0) into 0
8.313 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.313 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.313 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
8.313 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
8.313 * [taylor]: Taking taylor expansion of 2 in beta
8.313 * [backup-simplify]: Simplify 2 into 2
8.313 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.313 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.313 * [taylor]: Taking taylor expansion of beta in beta
8.313 * [backup-simplify]: Simplify 0 into 0
8.313 * [backup-simplify]: Simplify 1 into 1
8.313 * [backup-simplify]: Simplify (* 1 1) into 1
8.314 * [backup-simplify]: Simplify (/ 1 1) into 1
8.314 * [taylor]: Taking taylor expansion of 4.0 in beta
8.314 * [backup-simplify]: Simplify 4.0 into 4.0
8.314 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
8.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.317 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
8.317 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
8.317 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
8.323 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.324 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
8.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.330 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.330 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.331 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.332 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
8.332 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
8.333 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
8.333 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
8.333 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
8.333 * [taylor]: Taking taylor expansion of 12.0 in i
8.333 * [backup-simplify]: Simplify 12.0 into 12.0
8.333 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.333 * [taylor]: Taking taylor expansion of i in i
8.333 * [backup-simplify]: Simplify 0 into 0
8.333 * [backup-simplify]: Simplify 1 into 1
8.334 * [backup-simplify]: Simplify (/ 1 1) into 1
8.334 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
8.335 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
8.335 * [taylor]: Taking taylor expansion of 12.0 in i
8.335 * [backup-simplify]: Simplify 12.0 into 12.0
8.335 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.335 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.335 * [taylor]: Taking taylor expansion of i in i
8.335 * [backup-simplify]: Simplify 0 into 0
8.335 * [backup-simplify]: Simplify 1 into 1
8.336 * [backup-simplify]: Simplify (* 1 1) into 1
8.337 * [backup-simplify]: Simplify (/ 1 1) into 1
8.337 * [taylor]: Taking taylor expansion of 4.0 in i
8.337 * [backup-simplify]: Simplify 4.0 into 4.0
8.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.339 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
8.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.344 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
8.344 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
8.345 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.346 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
8.347 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
8.347 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.348 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
8.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.350 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
8.350 * [backup-simplify]: Simplify (+ 0 0) into 0
8.351 * [backup-simplify]: Simplify (- 0) into 0
8.351 * [backup-simplify]: Simplify (+ 0 0) into 0
8.351 * [taylor]: Taking taylor expansion of 0 in i
8.351 * [backup-simplify]: Simplify 0 into 0
8.351 * [backup-simplify]: Simplify 0 into 0
8.351 * [taylor]: Taking taylor expansion of 0 in i
8.351 * [backup-simplify]: Simplify 0 into 0
8.351 * [backup-simplify]: Simplify 0 into 0
8.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.354 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
8.354 * [backup-simplify]: Simplify (- 0) into 0
8.355 * [backup-simplify]: Simplify (+ 0 0) into 0
8.355 * [backup-simplify]: Simplify 0 into 0
8.355 * [backup-simplify]: Simplify 0 into 0
8.355 * [backup-simplify]: Simplify 0 into 0
8.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.357 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.358 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
8.359 * [backup-simplify]: Simplify (+ 0 0) into 0
8.359 * [backup-simplify]: Simplify (+ 0 0) into 0
8.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.361 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.361 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
8.362 * [backup-simplify]: Simplify (+ 0 0) into 0
8.362 * [backup-simplify]: Simplify (+ 0 0) into 0
8.363 * [backup-simplify]: Simplify (- 0) into 0
8.363 * [backup-simplify]: Simplify (+ 0 0) into 0
8.364 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
8.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
8.381 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
8.385 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
8.385 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
8.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.396 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.396 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.396 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.398 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
8.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.400 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
8.400 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.400 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
8.400 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.401 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
8.402 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
8.403 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
8.404 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
8.408 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
8.408 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
8.408 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
8.408 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
8.408 * [taylor]: Taking taylor expansion of 20.0 in beta
8.409 * [backup-simplify]: Simplify 20.0 into 20.0
8.409 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
8.409 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.409 * [taylor]: Taking taylor expansion of i in beta
8.409 * [backup-simplify]: Simplify i into i
8.409 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.409 * [taylor]: Taking taylor expansion of beta in beta
8.409 * [backup-simplify]: Simplify 0 into 0
8.409 * [backup-simplify]: Simplify 1 into 1
8.410 * [backup-simplify]: Simplify (* 1 1) into 1
8.410 * [backup-simplify]: Simplify (* i 1) into i
8.410 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.410 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
8.410 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
8.410 * [taylor]: Taking taylor expansion of 2 in beta
8.410 * [backup-simplify]: Simplify 2 into 2
8.410 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
8.410 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.410 * [taylor]: Taking taylor expansion of beta in beta
8.410 * [backup-simplify]: Simplify 0 into 0
8.410 * [backup-simplify]: Simplify 1 into 1
8.411 * [backup-simplify]: Simplify (* 1 1) into 1
8.411 * [backup-simplify]: Simplify (* 1 1) into 1
8.412 * [backup-simplify]: Simplify (/ 1 1) into 1
8.412 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
8.412 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
8.412 * [taylor]: Taking taylor expansion of 48.0 in beta
8.412 * [backup-simplify]: Simplify 48.0 into 48.0
8.412 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
8.412 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
8.412 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.412 * [taylor]: Taking taylor expansion of i in beta
8.412 * [backup-simplify]: Simplify i into i
8.412 * [taylor]: Taking taylor expansion of beta in beta
8.412 * [backup-simplify]: Simplify 0 into 0
8.412 * [backup-simplify]: Simplify 1 into 1
8.412 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.413 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
8.413 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
8.413 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
8.414 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.414 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
8.414 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
8.414 * [taylor]: Taking taylor expansion of 32.0 in beta
8.414 * [backup-simplify]: Simplify 32.0 into 32.0
8.414 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.414 * [taylor]: Taking taylor expansion of i in beta
8.414 * [backup-simplify]: Simplify i into i
8.414 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.414 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
8.414 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
8.414 * [taylor]: Taking taylor expansion of 16.0 in beta
8.414 * [backup-simplify]: Simplify 16.0 into 16.0
8.414 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.414 * [taylor]: Taking taylor expansion of beta in beta
8.414 * [backup-simplify]: Simplify 0 into 0
8.414 * [backup-simplify]: Simplify 1 into 1
8.415 * [backup-simplify]: Simplify (/ 1 1) into 1
8.415 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
8.415 * [taylor]: Taking taylor expansion of 32.0 in beta
8.415 * [backup-simplify]: Simplify 32.0 into 32.0
8.415 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
8.415 * [taylor]: Taking taylor expansion of (pow i 3) in beta
8.415 * [taylor]: Taking taylor expansion of i in beta
8.415 * [backup-simplify]: Simplify i into i
8.415 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.415 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
8.415 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
8.415 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
8.415 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
8.415 * [taylor]: Taking taylor expansion of 10.0 in beta
8.416 * [backup-simplify]: Simplify 10.0 into 10.0
8.416 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
8.416 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.416 * [taylor]: Taking taylor expansion of beta in beta
8.416 * [backup-simplify]: Simplify 0 into 0
8.416 * [backup-simplify]: Simplify 1 into 1
8.416 * [backup-simplify]: Simplify (* 1 1) into 1
8.417 * [backup-simplify]: Simplify (/ 1 1) into 1
8.417 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
8.417 * [taylor]: Taking taylor expansion of 8.0 in beta
8.417 * [backup-simplify]: Simplify 8.0 into 8.0
8.417 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
8.417 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
8.417 * [taylor]: Taking taylor expansion of 48.0 in beta
8.417 * [backup-simplify]: Simplify 48.0 into 48.0
8.417 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
8.417 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.417 * [taylor]: Taking taylor expansion of i in beta
8.417 * [backup-simplify]: Simplify i into i
8.417 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.417 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
8.417 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
8.417 * [taylor]: Taking taylor expansion of 48.0 in beta
8.417 * [backup-simplify]: Simplify 48.0 into 48.0
8.417 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
8.417 * [taylor]: Taking taylor expansion of (* i beta) in beta
8.417 * [taylor]: Taking taylor expansion of i in beta
8.417 * [backup-simplify]: Simplify i into i
8.417 * [taylor]: Taking taylor expansion of beta in beta
8.417 * [backup-simplify]: Simplify 0 into 0
8.417 * [backup-simplify]: Simplify 1 into 1
8.418 * [backup-simplify]: Simplify (* i 0) into 0
8.418 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
8.418 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.421 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
8.421 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
8.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
8.424 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
8.426 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.427 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.431 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.438 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.439 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
8.440 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
8.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
8.441 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
8.441 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
8.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.442 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
8.443 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
8.443 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
8.443 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
8.444 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.444 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.444 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
8.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.450 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
8.450 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
8.451 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
8.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
8.452 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
8.452 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
8.452 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
8.453 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
8.453 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
8.454 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
8.454 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
8.454 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
8.454 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
8.454 * [taylor]: Taking taylor expansion of 32.0 in i
8.454 * [backup-simplify]: Simplify 32.0 into 32.0
8.454 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.454 * [taylor]: Taking taylor expansion of i in i
8.454 * [backup-simplify]: Simplify 0 into 0
8.454 * [backup-simplify]: Simplify 1 into 1
8.455 * [backup-simplify]: Simplify (/ 1 1) into 1
8.455 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
8.455 * [taylor]: Taking taylor expansion of 32.0 in i
8.455 * [backup-simplify]: Simplify 32.0 into 32.0
8.455 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
8.455 * [taylor]: Taking taylor expansion of (pow i 3) in i
8.455 * [taylor]: Taking taylor expansion of i in i
8.455 * [backup-simplify]: Simplify 0 into 0
8.455 * [backup-simplify]: Simplify 1 into 1
8.456 * [backup-simplify]: Simplify (* 1 1) into 1
8.456 * [backup-simplify]: Simplify (* 1 1) into 1
8.456 * [backup-simplify]: Simplify (/ 1 1) into 1
8.456 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
8.456 * [taylor]: Taking taylor expansion of 8.0 in i
8.456 * [backup-simplify]: Simplify 8.0 into 8.0
8.457 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
8.457 * [taylor]: Taking taylor expansion of 48.0 in i
8.457 * [backup-simplify]: Simplify 48.0 into 48.0
8.457 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
8.457 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.457 * [taylor]: Taking taylor expansion of i in i
8.457 * [backup-simplify]: Simplify 0 into 0
8.457 * [backup-simplify]: Simplify 1 into 1
8.457 * [backup-simplify]: Simplify (* 1 1) into 1
8.457 * [backup-simplify]: Simplify (/ 1 1) into 1
8.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.459 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
8.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.461 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.464 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.469 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
8.470 * [backup-simplify]: Simplify (+ 0 0) into 0
8.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
8.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
8.477 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
8.477 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
8.478 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
8.479 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
8.479 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
8.502 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
8.523 * * * * [progress]: [ 3 / 3 ] generating series at (2 1 1)
8.524 * [backup-simplify]: Simplify (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) into (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))
8.524 * [approximate]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in (alpha beta i) around 0
8.524 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
8.524 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
8.524 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
8.524 * [taylor]: Taking taylor expansion of alpha in i
8.524 * [backup-simplify]: Simplify alpha into alpha
8.524 * [taylor]: Taking taylor expansion of beta in i
8.524 * [backup-simplify]: Simplify beta into beta
8.524 * [taylor]: Taking taylor expansion of (- beta alpha) in i
8.524 * [taylor]: Taking taylor expansion of beta in i
8.524 * [backup-simplify]: Simplify beta into beta
8.524 * [taylor]: Taking taylor expansion of alpha in i
8.524 * [backup-simplify]: Simplify alpha into alpha
8.524 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
8.524 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
8.524 * [taylor]: Taking taylor expansion of alpha in i
8.524 * [backup-simplify]: Simplify alpha into alpha
8.524 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.524 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.525 * [taylor]: Taking taylor expansion of 2.0 in i
8.525 * [backup-simplify]: Simplify 2.0 into 2.0
8.525 * [taylor]: Taking taylor expansion of i in i
8.525 * [backup-simplify]: Simplify 0 into 0
8.525 * [backup-simplify]: Simplify 1 into 1
8.525 * [taylor]: Taking taylor expansion of beta in i
8.525 * [backup-simplify]: Simplify beta into beta
8.525 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
8.525 * [taylor]: Taking taylor expansion of alpha in i
8.525 * [backup-simplify]: Simplify alpha into alpha
8.525 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
8.525 * [taylor]: Taking taylor expansion of 2.0 in i
8.525 * [backup-simplify]: Simplify 2.0 into 2.0
8.525 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
8.525 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.525 * [taylor]: Taking taylor expansion of 2.0 in i
8.525 * [backup-simplify]: Simplify 2.0 into 2.0
8.525 * [taylor]: Taking taylor expansion of i in i
8.525 * [backup-simplify]: Simplify 0 into 0
8.525 * [backup-simplify]: Simplify 1 into 1
8.525 * [taylor]: Taking taylor expansion of beta in i
8.525 * [backup-simplify]: Simplify beta into beta
8.525 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
8.525 * [backup-simplify]: Simplify (- alpha) into (- alpha)
8.525 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
8.525 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
8.526 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.526 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.526 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
8.583 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.583 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.583 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
8.583 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
8.583 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
8.583 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (+ alpha (+ beta 2.0)))
8.583 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
8.583 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
8.583 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
8.583 * [taylor]: Taking taylor expansion of alpha in beta
8.583 * [backup-simplify]: Simplify alpha into alpha
8.583 * [taylor]: Taking taylor expansion of beta in beta
8.583 * [backup-simplify]: Simplify 0 into 0
8.583 * [backup-simplify]: Simplify 1 into 1
8.584 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
8.584 * [taylor]: Taking taylor expansion of beta in beta
8.584 * [backup-simplify]: Simplify 0 into 0
8.584 * [backup-simplify]: Simplify 1 into 1
8.584 * [taylor]: Taking taylor expansion of alpha in beta
8.584 * [backup-simplify]: Simplify alpha into alpha
8.584 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
8.584 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
8.584 * [taylor]: Taking taylor expansion of alpha in beta
8.584 * [backup-simplify]: Simplify alpha into alpha
8.584 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.584 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.584 * [taylor]: Taking taylor expansion of 2.0 in beta
8.584 * [backup-simplify]: Simplify 2.0 into 2.0
8.584 * [taylor]: Taking taylor expansion of i in beta
8.584 * [backup-simplify]: Simplify i into i
8.584 * [taylor]: Taking taylor expansion of beta in beta
8.584 * [backup-simplify]: Simplify 0 into 0
8.584 * [backup-simplify]: Simplify 1 into 1
8.584 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
8.584 * [taylor]: Taking taylor expansion of alpha in beta
8.584 * [backup-simplify]: Simplify alpha into alpha
8.584 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
8.584 * [taylor]: Taking taylor expansion of 2.0 in beta
8.584 * [backup-simplify]: Simplify 2.0 into 2.0
8.584 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.584 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.584 * [taylor]: Taking taylor expansion of 2.0 in beta
8.584 * [backup-simplify]: Simplify 2.0 into 2.0
8.584 * [taylor]: Taking taylor expansion of i in beta
8.584 * [backup-simplify]: Simplify i into i
8.584 * [taylor]: Taking taylor expansion of beta in beta
8.584 * [backup-simplify]: Simplify 0 into 0
8.584 * [backup-simplify]: Simplify 1 into 1
8.585 * [backup-simplify]: Simplify (+ alpha 0) into alpha
8.585 * [backup-simplify]: Simplify (- alpha) into (- alpha)
8.585 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
8.585 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
8.585 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.585 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.585 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
8.585 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.585 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.585 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
8.585 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
8.585 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
8.586 * [backup-simplify]: Simplify (/ (* -1 (pow alpha 2)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
8.586 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.586 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
8.586 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
8.586 * [taylor]: Taking taylor expansion of alpha in alpha
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 1 into 1
8.586 * [taylor]: Taking taylor expansion of beta in alpha
8.586 * [backup-simplify]: Simplify beta into beta
8.586 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
8.586 * [taylor]: Taking taylor expansion of beta in alpha
8.586 * [backup-simplify]: Simplify beta into beta
8.586 * [taylor]: Taking taylor expansion of alpha in alpha
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 1 into 1
8.586 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.586 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.586 * [taylor]: Taking taylor expansion of alpha in alpha
8.586 * [backup-simplify]: Simplify 0 into 0
8.586 * [backup-simplify]: Simplify 1 into 1
8.587 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.587 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.587 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.587 * [backup-simplify]: Simplify 2.0 into 2.0
8.587 * [taylor]: Taking taylor expansion of i in alpha
8.587 * [backup-simplify]: Simplify i into i
8.587 * [taylor]: Taking taylor expansion of beta in alpha
8.587 * [backup-simplify]: Simplify beta into beta
8.587 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.587 * [taylor]: Taking taylor expansion of alpha in alpha
8.587 * [backup-simplify]: Simplify 0 into 0
8.587 * [backup-simplify]: Simplify 1 into 1
8.587 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.587 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.587 * [backup-simplify]: Simplify 2.0 into 2.0
8.587 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.587 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.587 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.587 * [backup-simplify]: Simplify 2.0 into 2.0
8.587 * [taylor]: Taking taylor expansion of i in alpha
8.587 * [backup-simplify]: Simplify i into i
8.587 * [taylor]: Taking taylor expansion of beta in alpha
8.587 * [backup-simplify]: Simplify beta into beta
8.587 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.588 * [backup-simplify]: Simplify (- 0) into 0
8.588 * [backup-simplify]: Simplify (+ beta 0) into beta
8.588 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.588 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.588 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.588 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.588 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.588 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.588 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.589 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.589 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.589 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
8.589 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
8.589 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
8.589 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
8.589 * [taylor]: Taking taylor expansion of alpha in alpha
8.589 * [backup-simplify]: Simplify 0 into 0
8.589 * [backup-simplify]: Simplify 1 into 1
8.589 * [taylor]: Taking taylor expansion of beta in alpha
8.589 * [backup-simplify]: Simplify beta into beta
8.589 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
8.590 * [taylor]: Taking taylor expansion of beta in alpha
8.590 * [backup-simplify]: Simplify beta into beta
8.590 * [taylor]: Taking taylor expansion of alpha in alpha
8.590 * [backup-simplify]: Simplify 0 into 0
8.590 * [backup-simplify]: Simplify 1 into 1
8.590 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
8.590 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
8.590 * [taylor]: Taking taylor expansion of alpha in alpha
8.590 * [backup-simplify]: Simplify 0 into 0
8.590 * [backup-simplify]: Simplify 1 into 1
8.590 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.590 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.590 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.590 * [backup-simplify]: Simplify 2.0 into 2.0
8.590 * [taylor]: Taking taylor expansion of i in alpha
8.590 * [backup-simplify]: Simplify i into i
8.590 * [taylor]: Taking taylor expansion of beta in alpha
8.590 * [backup-simplify]: Simplify beta into beta
8.590 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
8.590 * [taylor]: Taking taylor expansion of alpha in alpha
8.590 * [backup-simplify]: Simplify 0 into 0
8.590 * [backup-simplify]: Simplify 1 into 1
8.590 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
8.590 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.590 * [backup-simplify]: Simplify 2.0 into 2.0
8.590 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
8.590 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
8.595 * [taylor]: Taking taylor expansion of 2.0 in alpha
8.595 * [backup-simplify]: Simplify 2.0 into 2.0
8.595 * [taylor]: Taking taylor expansion of i in alpha
8.595 * [backup-simplify]: Simplify i into i
8.595 * [taylor]: Taking taylor expansion of beta in alpha
8.595 * [backup-simplify]: Simplify beta into beta
8.595 * [backup-simplify]: Simplify (+ 0 beta) into beta
8.596 * [backup-simplify]: Simplify (- 0) into 0
8.596 * [backup-simplify]: Simplify (+ beta 0) into beta
8.596 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
8.596 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.596 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.596 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
8.596 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.596 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
8.596 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
8.596 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
8.597 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
8.597 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
8.597 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
8.597 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.597 * [taylor]: Taking taylor expansion of beta in beta
8.597 * [backup-simplify]: Simplify 0 into 0
8.597 * [backup-simplify]: Simplify 1 into 1
8.597 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
8.597 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.597 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.597 * [taylor]: Taking taylor expansion of 2.0 in beta
8.597 * [backup-simplify]: Simplify 2.0 into 2.0
8.597 * [taylor]: Taking taylor expansion of i in beta
8.597 * [backup-simplify]: Simplify i into i
8.597 * [taylor]: Taking taylor expansion of beta in beta
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 1 into 1
8.598 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.598 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.598 * [taylor]: Taking taylor expansion of 2.0 in beta
8.598 * [backup-simplify]: Simplify 2.0 into 2.0
8.598 * [taylor]: Taking taylor expansion of i in beta
8.598 * [backup-simplify]: Simplify i into i
8.598 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.598 * [taylor]: Taking taylor expansion of beta in beta
8.598 * [backup-simplify]: Simplify 0 into 0
8.598 * [backup-simplify]: Simplify 1 into 1
8.598 * [taylor]: Taking taylor expansion of 2.0 in beta
8.598 * [backup-simplify]: Simplify 2.0 into 2.0
8.602 * [backup-simplify]: Simplify (* 1 1) into 1
8.603 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.603 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.603 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.603 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.603 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.603 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
8.604 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
8.604 * [backup-simplify]: Simplify (- 1) into -1
8.604 * [backup-simplify]: Simplify (+ 0 -1) into -1
8.605 * [backup-simplify]: Simplify (+ 1 0) into 1
8.605 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
8.605 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
8.606 * [backup-simplify]: Simplify (+ 0 0) into 0
8.606 * [backup-simplify]: Simplify (+ 0 0) into 0
8.610 * [backup-simplify]: Simplify (+ 1 0) into 1
8.611 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
8.612 * [backup-simplify]: Simplify (+ 0 0) into 0
8.612 * [backup-simplify]: Simplify (+ 1 0) into 1
8.612 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
8.614 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
8.614 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
8.614 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
8.614 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.614 * [taylor]: Taking taylor expansion of 2.0 in beta
8.614 * [backup-simplify]: Simplify 2.0 into 2.0
8.614 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.614 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.615 * [taylor]: Taking taylor expansion of beta in beta
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 1 into 1
8.615 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.615 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.615 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.615 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.615 * [taylor]: Taking taylor expansion of 2.0 in beta
8.615 * [backup-simplify]: Simplify 2.0 into 2.0
8.615 * [taylor]: Taking taylor expansion of i in beta
8.615 * [backup-simplify]: Simplify i into i
8.615 * [taylor]: Taking taylor expansion of beta in beta
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 1 into 1
8.615 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.615 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.615 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.615 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.615 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.615 * [taylor]: Taking taylor expansion of 2.0 in beta
8.615 * [backup-simplify]: Simplify 2.0 into 2.0
8.615 * [taylor]: Taking taylor expansion of i in beta
8.615 * [backup-simplify]: Simplify i into i
8.615 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.615 * [taylor]: Taking taylor expansion of beta in beta
8.615 * [backup-simplify]: Simplify 0 into 0
8.615 * [backup-simplify]: Simplify 1 into 1
8.615 * [taylor]: Taking taylor expansion of 2.0 in beta
8.615 * [backup-simplify]: Simplify 2.0 into 2.0
8.616 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.616 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.616 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.617 * [backup-simplify]: Simplify (* 1 1) into 1
8.617 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.617 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.617 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.618 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.618 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
8.618 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.618 * [taylor]: Taking taylor expansion of 4.0 in beta
8.618 * [backup-simplify]: Simplify 4.0 into 4.0
8.618 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.618 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.618 * [taylor]: Taking taylor expansion of i in beta
8.618 * [backup-simplify]: Simplify i into i
8.618 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.618 * [taylor]: Taking taylor expansion of beta in beta
8.618 * [backup-simplify]: Simplify 0 into 0
8.618 * [backup-simplify]: Simplify 1 into 1
8.618 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.618 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.618 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.618 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.618 * [taylor]: Taking taylor expansion of 2.0 in beta
8.619 * [backup-simplify]: Simplify 2.0 into 2.0
8.619 * [taylor]: Taking taylor expansion of i in beta
8.619 * [backup-simplify]: Simplify i into i
8.619 * [taylor]: Taking taylor expansion of beta in beta
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 1 into 1
8.619 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.619 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.619 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.619 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.619 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.619 * [taylor]: Taking taylor expansion of 2.0 in beta
8.619 * [backup-simplify]: Simplify 2.0 into 2.0
8.619 * [taylor]: Taking taylor expansion of i in beta
8.619 * [backup-simplify]: Simplify i into i
8.619 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.619 * [taylor]: Taking taylor expansion of beta in beta
8.619 * [backup-simplify]: Simplify 0 into 0
8.619 * [backup-simplify]: Simplify 1 into 1
8.619 * [taylor]: Taking taylor expansion of 2.0 in beta
8.619 * [backup-simplify]: Simplify 2.0 into 2.0
8.619 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.620 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.620 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.620 * [backup-simplify]: Simplify (* 1 1) into 1
8.621 * [backup-simplify]: Simplify (* i 1) into i
8.621 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.621 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.621 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.622 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
8.622 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.622 * [taylor]: Taking taylor expansion of 2 in beta
8.622 * [backup-simplify]: Simplify 2 into 2
8.622 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.622 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.622 * [taylor]: Taking taylor expansion of beta in beta
8.622 * [backup-simplify]: Simplify 0 into 0
8.622 * [backup-simplify]: Simplify 1 into 1
8.622 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.622 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.622 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.622 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.622 * [taylor]: Taking taylor expansion of 2.0 in beta
8.622 * [backup-simplify]: Simplify 2.0 into 2.0
8.622 * [taylor]: Taking taylor expansion of i in beta
8.622 * [backup-simplify]: Simplify i into i
8.622 * [taylor]: Taking taylor expansion of beta in beta
8.622 * [backup-simplify]: Simplify 0 into 0
8.622 * [backup-simplify]: Simplify 1 into 1
8.622 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.622 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.622 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.623 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.623 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.623 * [taylor]: Taking taylor expansion of 2.0 in beta
8.623 * [backup-simplify]: Simplify 2.0 into 2.0
8.623 * [taylor]: Taking taylor expansion of i in beta
8.623 * [backup-simplify]: Simplify i into i
8.623 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.623 * [taylor]: Taking taylor expansion of beta in beta
8.623 * [backup-simplify]: Simplify 0 into 0
8.623 * [backup-simplify]: Simplify 1 into 1
8.623 * [taylor]: Taking taylor expansion of 2.0 in beta
8.623 * [backup-simplify]: Simplify 2.0 into 2.0
8.623 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.624 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.624 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.625 * [backup-simplify]: Simplify (* 1 1) into 1
8.625 * [backup-simplify]: Simplify (* 1 1) into 1
8.626 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.626 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.626 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.627 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.627 * [backup-simplify]: Simplify (- 0) into 0
8.628 * [backup-simplify]: Simplify (+ 0 0) into 0
8.628 * [backup-simplify]: Simplify (+ 0 0) into 0
8.629 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
8.630 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
8.630 * [backup-simplify]: Simplify (+ 0 0) into 0
8.630 * [backup-simplify]: Simplify (+ 0 0) into 0
8.631 * [backup-simplify]: Simplify (+ 0 0) into 0
8.632 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
8.632 * [backup-simplify]: Simplify (+ 0 0) into 0
8.632 * [backup-simplify]: Simplify (+ 0 0) into 0
8.633 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
8.641 * [backup-simplify]: Simplify (- (/ (- 1) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
8.641 * [taylor]: Taking taylor expansion of (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
8.641 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
8.641 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.641 * [taylor]: Taking taylor expansion of 8.0 in beta
8.641 * [backup-simplify]: Simplify 8.0 into 8.0
8.641 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.641 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.641 * [taylor]: Taking taylor expansion of beta in beta
8.641 * [backup-simplify]: Simplify 0 into 0
8.641 * [backup-simplify]: Simplify 1 into 1
8.641 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.641 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.641 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.641 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.641 * [taylor]: Taking taylor expansion of 2.0 in beta
8.641 * [backup-simplify]: Simplify 2.0 into 2.0
8.641 * [taylor]: Taking taylor expansion of i in beta
8.642 * [backup-simplify]: Simplify i into i
8.642 * [taylor]: Taking taylor expansion of beta in beta
8.642 * [backup-simplify]: Simplify 0 into 0
8.642 * [backup-simplify]: Simplify 1 into 1
8.642 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.642 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.642 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.642 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.642 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.642 * [taylor]: Taking taylor expansion of 2.0 in beta
8.642 * [backup-simplify]: Simplify 2.0 into 2.0
8.642 * [taylor]: Taking taylor expansion of i in beta
8.642 * [backup-simplify]: Simplify i into i
8.642 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.642 * [taylor]: Taking taylor expansion of beta in beta
8.642 * [backup-simplify]: Simplify 0 into 0
8.643 * [backup-simplify]: Simplify 1 into 1
8.643 * [taylor]: Taking taylor expansion of 2.0 in beta
8.643 * [backup-simplify]: Simplify 2.0 into 2.0
8.643 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.643 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.643 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.644 * [backup-simplify]: Simplify (* 1 1) into 1
8.644 * [backup-simplify]: Simplify (* 1 1) into 1
8.644 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.644 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.645 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.645 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.645 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.645 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.645 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
8.646 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.646 * [taylor]: Taking taylor expansion of 16.0 in beta
8.646 * [backup-simplify]: Simplify 16.0 into 16.0
8.646 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.646 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
8.646 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.646 * [taylor]: Taking taylor expansion of i in beta
8.646 * [backup-simplify]: Simplify i into i
8.646 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.646 * [taylor]: Taking taylor expansion of beta in beta
8.646 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify 1 into 1
8.646 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.646 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.646 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.646 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.646 * [taylor]: Taking taylor expansion of 2.0 in beta
8.646 * [backup-simplify]: Simplify 2.0 into 2.0
8.646 * [taylor]: Taking taylor expansion of i in beta
8.646 * [backup-simplify]: Simplify i into i
8.646 * [taylor]: Taking taylor expansion of beta in beta
8.646 * [backup-simplify]: Simplify 0 into 0
8.646 * [backup-simplify]: Simplify 1 into 1
8.646 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.646 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.647 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.647 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.647 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.647 * [taylor]: Taking taylor expansion of 2.0 in beta
8.647 * [backup-simplify]: Simplify 2.0 into 2.0
8.647 * [taylor]: Taking taylor expansion of i in beta
8.647 * [backup-simplify]: Simplify i into i
8.647 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.647 * [taylor]: Taking taylor expansion of beta in beta
8.647 * [backup-simplify]: Simplify 0 into 0
8.647 * [backup-simplify]: Simplify 1 into 1
8.647 * [taylor]: Taking taylor expansion of 2.0 in beta
8.647 * [backup-simplify]: Simplify 2.0 into 2.0
8.647 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.648 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.648 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.648 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.648 * [backup-simplify]: Simplify (* 1 1) into 1
8.648 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
8.648 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.648 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.648 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.649 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.649 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.649 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
8.649 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
8.649 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.649 * [taylor]: Taking taylor expansion of 4 in beta
8.649 * [backup-simplify]: Simplify 4 into 4
8.649 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.649 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
8.649 * [taylor]: Taking taylor expansion of beta in beta
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 1 into 1
8.649 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.649 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.649 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.649 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.649 * [taylor]: Taking taylor expansion of 2.0 in beta
8.649 * [backup-simplify]: Simplify 2.0 into 2.0
8.649 * [taylor]: Taking taylor expansion of i in beta
8.649 * [backup-simplify]: Simplify i into i
8.649 * [taylor]: Taking taylor expansion of beta in beta
8.649 * [backup-simplify]: Simplify 0 into 0
8.649 * [backup-simplify]: Simplify 1 into 1
8.650 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.650 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.650 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.650 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.650 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.650 * [taylor]: Taking taylor expansion of 2.0 in beta
8.650 * [backup-simplify]: Simplify 2.0 into 2.0
8.650 * [taylor]: Taking taylor expansion of i in beta
8.650 * [backup-simplify]: Simplify i into i
8.650 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.650 * [taylor]: Taking taylor expansion of beta in beta
8.650 * [backup-simplify]: Simplify 0 into 0
8.650 * [backup-simplify]: Simplify 1 into 1
8.650 * [taylor]: Taking taylor expansion of 2.0 in beta
8.650 * [backup-simplify]: Simplify 2.0 into 2.0
8.650 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.650 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.650 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.651 * [backup-simplify]: Simplify (* 1 1) into 1
8.651 * [backup-simplify]: Simplify (* 1 1) into 1
8.651 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.651 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.651 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.651 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.652 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.652 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.652 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
8.652 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.652 * [taylor]: Taking taylor expansion of 16.0 in beta
8.652 * [backup-simplify]: Simplify 16.0 into 16.0
8.652 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.652 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
8.652 * [taylor]: Taking taylor expansion of i in beta
8.652 * [backup-simplify]: Simplify i into i
8.652 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.652 * [taylor]: Taking taylor expansion of beta in beta
8.652 * [backup-simplify]: Simplify 0 into 0
8.652 * [backup-simplify]: Simplify 1 into 1
8.652 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.652 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.652 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.652 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.652 * [taylor]: Taking taylor expansion of 2.0 in beta
8.652 * [backup-simplify]: Simplify 2.0 into 2.0
8.652 * [taylor]: Taking taylor expansion of i in beta
8.652 * [backup-simplify]: Simplify i into i
8.652 * [taylor]: Taking taylor expansion of beta in beta
8.652 * [backup-simplify]: Simplify 0 into 0
8.652 * [backup-simplify]: Simplify 1 into 1
8.652 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.652 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.652 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.652 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.652 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.652 * [taylor]: Taking taylor expansion of 2.0 in beta
8.652 * [backup-simplify]: Simplify 2.0 into 2.0
8.652 * [taylor]: Taking taylor expansion of i in beta
8.653 * [backup-simplify]: Simplify i into i
8.653 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.653 * [taylor]: Taking taylor expansion of beta in beta
8.653 * [backup-simplify]: Simplify 0 into 0
8.653 * [backup-simplify]: Simplify 1 into 1
8.653 * [taylor]: Taking taylor expansion of 2.0 in beta
8.653 * [backup-simplify]: Simplify 2.0 into 2.0
8.653 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.653 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.653 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.653 * [backup-simplify]: Simplify (* 1 1) into 1
8.654 * [backup-simplify]: Simplify (* 1 1) into 1
8.654 * [backup-simplify]: Simplify (* i 1) into i
8.654 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.654 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.654 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.654 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.654 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.655 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
8.655 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
8.655 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.655 * [taylor]: Taking taylor expansion of 16.0 in beta
8.655 * [backup-simplify]: Simplify 16.0 into 16.0
8.655 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.655 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.655 * [taylor]: Taking taylor expansion of i in beta
8.655 * [backup-simplify]: Simplify i into i
8.655 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.655 * [taylor]: Taking taylor expansion of beta in beta
8.655 * [backup-simplify]: Simplify 0 into 0
8.655 * [backup-simplify]: Simplify 1 into 1
8.655 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.655 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.655 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.655 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.655 * [taylor]: Taking taylor expansion of 2.0 in beta
8.655 * [backup-simplify]: Simplify 2.0 into 2.0
8.655 * [taylor]: Taking taylor expansion of i in beta
8.655 * [backup-simplify]: Simplify i into i
8.655 * [taylor]: Taking taylor expansion of beta in beta
8.655 * [backup-simplify]: Simplify 0 into 0
8.655 * [backup-simplify]: Simplify 1 into 1
8.655 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.655 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.655 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.655 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.656 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.656 * [taylor]: Taking taylor expansion of 2.0 in beta
8.656 * [backup-simplify]: Simplify 2.0 into 2.0
8.656 * [taylor]: Taking taylor expansion of i in beta
8.656 * [backup-simplify]: Simplify i into i
8.656 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.656 * [taylor]: Taking taylor expansion of beta in beta
8.656 * [backup-simplify]: Simplify 0 into 0
8.656 * [backup-simplify]: Simplify 1 into 1
8.656 * [taylor]: Taking taylor expansion of 2.0 in beta
8.656 * [backup-simplify]: Simplify 2.0 into 2.0
8.656 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.656 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.656 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.657 * [backup-simplify]: Simplify (* 1 1) into 1
8.657 * [backup-simplify]: Simplify (* i 1) into i
8.657 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.657 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.657 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.658 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.658 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.658 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
8.658 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.658 * [taylor]: Taking taylor expansion of 4.0 in beta
8.658 * [backup-simplify]: Simplify 4.0 into 4.0
8.658 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.658 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.658 * [taylor]: Taking taylor expansion of beta in beta
8.658 * [backup-simplify]: Simplify 0 into 0
8.658 * [backup-simplify]: Simplify 1 into 1
8.659 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.659 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.659 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.659 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.659 * [taylor]: Taking taylor expansion of 2.0 in beta
8.659 * [backup-simplify]: Simplify 2.0 into 2.0
8.659 * [taylor]: Taking taylor expansion of i in beta
8.659 * [backup-simplify]: Simplify i into i
8.659 * [taylor]: Taking taylor expansion of beta in beta
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 1 into 1
8.659 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.659 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.659 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.659 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.659 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.659 * [taylor]: Taking taylor expansion of 2.0 in beta
8.659 * [backup-simplify]: Simplify 2.0 into 2.0
8.659 * [taylor]: Taking taylor expansion of i in beta
8.659 * [backup-simplify]: Simplify i into i
8.659 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.659 * [taylor]: Taking taylor expansion of beta in beta
8.659 * [backup-simplify]: Simplify 0 into 0
8.659 * [backup-simplify]: Simplify 1 into 1
8.659 * [taylor]: Taking taylor expansion of 2.0 in beta
8.659 * [backup-simplify]: Simplify 2.0 into 2.0
8.659 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.659 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.659 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.660 * [backup-simplify]: Simplify (* 1 1) into 1
8.660 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.660 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.660 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.660 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.660 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.661 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.661 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
8.661 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
8.661 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.661 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.661 * [taylor]: Taking taylor expansion of 2.0 in beta
8.661 * [backup-simplify]: Simplify 2.0 into 2.0
8.661 * [taylor]: Taking taylor expansion of i in beta
8.661 * [backup-simplify]: Simplify i into i
8.661 * [taylor]: Taking taylor expansion of beta in beta
8.661 * [backup-simplify]: Simplify 0 into 0
8.661 * [backup-simplify]: Simplify 1 into 1
8.661 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.661 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.661 * [taylor]: Taking taylor expansion of 2.0 in beta
8.661 * [backup-simplify]: Simplify 2.0 into 2.0
8.661 * [taylor]: Taking taylor expansion of i in beta
8.661 * [backup-simplify]: Simplify i into i
8.661 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.661 * [taylor]: Taking taylor expansion of beta in beta
8.661 * [backup-simplify]: Simplify 0 into 0
8.661 * [backup-simplify]: Simplify 1 into 1
8.661 * [taylor]: Taking taylor expansion of 2.0 in beta
8.662 * [backup-simplify]: Simplify 2.0 into 2.0
8.662 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.662 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.662 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.663 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.663 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.663 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
8.663 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
8.663 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.663 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.663 * [taylor]: Taking taylor expansion of beta in beta
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 1 into 1
8.663 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.663 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.663 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.663 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.663 * [taylor]: Taking taylor expansion of 2.0 in beta
8.663 * [backup-simplify]: Simplify 2.0 into 2.0
8.663 * [taylor]: Taking taylor expansion of i in beta
8.663 * [backup-simplify]: Simplify i into i
8.663 * [taylor]: Taking taylor expansion of beta in beta
8.663 * [backup-simplify]: Simplify 0 into 0
8.663 * [backup-simplify]: Simplify 1 into 1
8.663 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.664 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.664 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.664 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.664 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.664 * [taylor]: Taking taylor expansion of 2.0 in beta
8.664 * [backup-simplify]: Simplify 2.0 into 2.0
8.664 * [taylor]: Taking taylor expansion of i in beta
8.664 * [backup-simplify]: Simplify i into i
8.664 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.664 * [taylor]: Taking taylor expansion of beta in beta
8.664 * [backup-simplify]: Simplify 0 into 0
8.664 * [backup-simplify]: Simplify 1 into 1
8.664 * [taylor]: Taking taylor expansion of 2.0 in beta
8.664 * [backup-simplify]: Simplify 2.0 into 2.0
8.664 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.664 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.665 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.665 * [backup-simplify]: Simplify (* 1 1) into 1
8.665 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.665 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.666 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.666 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.666 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
8.666 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
8.667 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
8.667 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
8.667 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
8.667 * [taylor]: Taking taylor expansion of 0.5 in i
8.667 * [backup-simplify]: Simplify 0.5 into 0.5
8.667 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
8.667 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
8.667 * [taylor]: Taking taylor expansion of i in i
8.667 * [backup-simplify]: Simplify 0 into 0
8.667 * [backup-simplify]: Simplify 1 into 1
8.667 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.667 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.667 * [taylor]: Taking taylor expansion of 2.0 in i
8.667 * [backup-simplify]: Simplify 2.0 into 2.0
8.667 * [taylor]: Taking taylor expansion of i in i
8.667 * [backup-simplify]: Simplify 0 into 0
8.667 * [backup-simplify]: Simplify 1 into 1
8.667 * [taylor]: Taking taylor expansion of 2.0 in i
8.667 * [backup-simplify]: Simplify 2.0 into 2.0
8.668 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.668 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.668 * [backup-simplify]: Simplify (* 0 2.0) into 0
8.669 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.670 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.671 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
8.671 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
8.672 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.672 * [backup-simplify]: Simplify (+ 0 0) into 0
8.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
8.677 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
8.679 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
8.680 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
8.680 * [backup-simplify]: Simplify 0.25 into 0.25
8.680 * [taylor]: Taking taylor expansion of (/ 0.5 (* i (+ (* 2.0 i) 2.0))) in i
8.680 * [taylor]: Taking taylor expansion of 0.5 in i
8.681 * [backup-simplify]: Simplify 0.5 into 0.5
8.681 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
8.681 * [taylor]: Taking taylor expansion of i in i
8.681 * [backup-simplify]: Simplify 0 into 0
8.681 * [backup-simplify]: Simplify 1 into 1
8.681 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.681 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.681 * [taylor]: Taking taylor expansion of 2.0 in i
8.681 * [backup-simplify]: Simplify 2.0 into 2.0
8.681 * [taylor]: Taking taylor expansion of i in i
8.681 * [backup-simplify]: Simplify 0 into 0
8.681 * [backup-simplify]: Simplify 1 into 1
8.681 * [taylor]: Taking taylor expansion of 2.0 in i
8.681 * [backup-simplify]: Simplify 2.0 into 2.0
8.681 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.682 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.682 * [backup-simplify]: Simplify (* 0 2.0) into 0
8.684 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.684 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.686 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
8.686 * [backup-simplify]: Simplify (/ 0.5 2.0) into 0.25
8.687 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.688 * [backup-simplify]: Simplify (+ 0 0) into 0
8.697 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
8.701 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* 0.25 (/ 2.0 2.0)))) into (- 0.25)
8.701 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
8.701 * [backup-simplify]: Simplify (- 0) into 0
8.702 * [backup-simplify]: Simplify (+ 0 0) into 0
8.702 * [backup-simplify]: Simplify (+ 0 0) into 0
8.703 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
8.704 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
8.705 * [backup-simplify]: Simplify (+ 0 0) into 0
8.705 * [backup-simplify]: Simplify (+ 0 0) into 0
8.705 * [backup-simplify]: Simplify (+ 0 0) into 0
8.707 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
8.707 * [backup-simplify]: Simplify (+ 0 0) into 0
8.707 * [backup-simplify]: Simplify (+ 0 0) into 0
8.708 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ (* 2.0 i) (+ beta 2.0)))))) into 0
8.729 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))))
8.729 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))))) in beta
8.729 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
8.729 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.730 * [taylor]: Taking taylor expansion of 4 in beta
8.730 * [backup-simplify]: Simplify 4 into 4
8.730 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.730 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.730 * [taylor]: Taking taylor expansion of beta in beta
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify 1 into 1
8.730 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.730 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.730 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.730 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.730 * [taylor]: Taking taylor expansion of 2.0 in beta
8.730 * [backup-simplify]: Simplify 2.0 into 2.0
8.730 * [taylor]: Taking taylor expansion of i in beta
8.730 * [backup-simplify]: Simplify i into i
8.730 * [taylor]: Taking taylor expansion of beta in beta
8.730 * [backup-simplify]: Simplify 0 into 0
8.730 * [backup-simplify]: Simplify 1 into 1
8.730 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.730 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.730 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.730 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.730 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.730 * [taylor]: Taking taylor expansion of 2.0 in beta
8.734 * [backup-simplify]: Simplify 2.0 into 2.0
8.734 * [taylor]: Taking taylor expansion of i in beta
8.734 * [backup-simplify]: Simplify i into i
8.735 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.735 * [taylor]: Taking taylor expansion of beta in beta
8.735 * [backup-simplify]: Simplify 0 into 0
8.735 * [backup-simplify]: Simplify 1 into 1
8.735 * [taylor]: Taking taylor expansion of 2.0 in beta
8.735 * [backup-simplify]: Simplify 2.0 into 2.0
8.735 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.735 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.736 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.736 * [backup-simplify]: Simplify (* 1 1) into 1
8.736 * [backup-simplify]: Simplify (* 1 1) into 1
8.737 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.737 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.737 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.737 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.738 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.738 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.738 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
8.738 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) in beta
8.738 * [taylor]: Taking taylor expansion of 4.0 in beta
8.738 * [backup-simplify]: Simplify 4.0 into 4.0
8.738 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2))) in beta
8.738 * [taylor]: Taking taylor expansion of i in beta
8.738 * [backup-simplify]: Simplify i into i
8.738 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)) in beta
8.738 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.738 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.739 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.739 * [taylor]: Taking taylor expansion of 2.0 in beta
8.739 * [backup-simplify]: Simplify 2.0 into 2.0
8.739 * [taylor]: Taking taylor expansion of i in beta
8.739 * [backup-simplify]: Simplify i into i
8.739 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.739 * [taylor]: Taking taylor expansion of beta in beta
8.739 * [backup-simplify]: Simplify 0 into 0
8.739 * [backup-simplify]: Simplify 1 into 1
8.739 * [taylor]: Taking taylor expansion of 2.0 in beta
8.739 * [backup-simplify]: Simplify 2.0 into 2.0
8.739 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.740 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.740 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.740 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.740 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.740 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.740 * [taylor]: Taking taylor expansion of 2.0 in beta
8.740 * [backup-simplify]: Simplify 2.0 into 2.0
8.740 * [taylor]: Taking taylor expansion of i in beta
8.740 * [backup-simplify]: Simplify i into i
8.740 * [taylor]: Taking taylor expansion of beta in beta
8.740 * [backup-simplify]: Simplify 0 into 0
8.740 * [backup-simplify]: Simplify 1 into 1
8.740 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.740 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.740 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.740 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.741 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
8.741 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
8.741 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
8.741 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.741 * [taylor]: Taking taylor expansion of 8.0 in beta
8.741 * [backup-simplify]: Simplify 8.0 into 8.0
8.741 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.741 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.742 * [taylor]: Taking taylor expansion of i in beta
8.742 * [backup-simplify]: Simplify i into i
8.742 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.742 * [taylor]: Taking taylor expansion of beta in beta
8.742 * [backup-simplify]: Simplify 0 into 0
8.742 * [backup-simplify]: Simplify 1 into 1
8.742 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.742 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.742 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.742 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.742 * [taylor]: Taking taylor expansion of 2.0 in beta
8.742 * [backup-simplify]: Simplify 2.0 into 2.0
8.742 * [taylor]: Taking taylor expansion of i in beta
8.742 * [backup-simplify]: Simplify i into i
8.742 * [taylor]: Taking taylor expansion of beta in beta
8.742 * [backup-simplify]: Simplify 0 into 0
8.742 * [backup-simplify]: Simplify 1 into 1
8.742 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.742 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.742 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.742 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.742 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.742 * [taylor]: Taking taylor expansion of 2.0 in beta
8.742 * [backup-simplify]: Simplify 2.0 into 2.0
8.742 * [taylor]: Taking taylor expansion of i in beta
8.743 * [backup-simplify]: Simplify i into i
8.743 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.743 * [taylor]: Taking taylor expansion of beta in beta
8.743 * [backup-simplify]: Simplify 0 into 0
8.743 * [backup-simplify]: Simplify 1 into 1
8.743 * [taylor]: Taking taylor expansion of 2.0 in beta
8.743 * [backup-simplify]: Simplify 2.0 into 2.0
8.743 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.743 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.744 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.744 * [backup-simplify]: Simplify (* 1 1) into 1
8.744 * [backup-simplify]: Simplify (* i 1) into i
8.744 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.744 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.745 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.745 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.745 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.745 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
8.746 * [taylor]: Taking taylor expansion of (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
8.746 * [taylor]: Taking taylor expansion of (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.746 * [taylor]: Taking taylor expansion of 2 in beta
8.746 * [backup-simplify]: Simplify 2 into 2
8.746 * [taylor]: Taking taylor expansion of (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.746 * [taylor]: Taking taylor expansion of beta in beta
8.746 * [backup-simplify]: Simplify 0 into 0
8.746 * [backup-simplify]: Simplify 1 into 1
8.746 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.746 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.746 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.746 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.746 * [taylor]: Taking taylor expansion of 2.0 in beta
8.746 * [backup-simplify]: Simplify 2.0 into 2.0
8.746 * [taylor]: Taking taylor expansion of i in beta
8.746 * [backup-simplify]: Simplify i into i
8.746 * [taylor]: Taking taylor expansion of beta in beta
8.746 * [backup-simplify]: Simplify 0 into 0
8.746 * [backup-simplify]: Simplify 1 into 1
8.746 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.746 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.746 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.746 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.746 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.746 * [taylor]: Taking taylor expansion of 2.0 in beta
8.747 * [backup-simplify]: Simplify 2.0 into 2.0
8.751 * [taylor]: Taking taylor expansion of i in beta
8.751 * [backup-simplify]: Simplify i into i
8.751 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.751 * [taylor]: Taking taylor expansion of beta in beta
8.751 * [backup-simplify]: Simplify 0 into 0
8.751 * [backup-simplify]: Simplify 1 into 1
8.751 * [taylor]: Taking taylor expansion of 2.0 in beta
8.751 * [backup-simplify]: Simplify 2.0 into 2.0
8.751 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.752 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.752 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.752 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.752 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.753 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.753 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.753 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
8.753 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
8.753 * [taylor]: Taking taylor expansion of 2.0 in beta
8.753 * [backup-simplify]: Simplify 2.0 into 2.0
8.753 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
8.753 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
8.753 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
8.753 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.754 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.754 * [taylor]: Taking taylor expansion of 2.0 in beta
8.754 * [backup-simplify]: Simplify 2.0 into 2.0
8.754 * [taylor]: Taking taylor expansion of i in beta
8.754 * [backup-simplify]: Simplify i into i
8.754 * [taylor]: Taking taylor expansion of beta in beta
8.754 * [backup-simplify]: Simplify 0 into 0
8.754 * [backup-simplify]: Simplify 1 into 1
8.754 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.754 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.754 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
8.754 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.754 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.754 * [taylor]: Taking taylor expansion of 2.0 in beta
8.754 * [backup-simplify]: Simplify 2.0 into 2.0
8.754 * [taylor]: Taking taylor expansion of i in beta
8.754 * [backup-simplify]: Simplify i into i
8.754 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.754 * [taylor]: Taking taylor expansion of beta in beta
8.754 * [backup-simplify]: Simplify 0 into 0
8.754 * [backup-simplify]: Simplify 1 into 1
8.758 * [taylor]: Taking taylor expansion of 2.0 in beta
8.758 * [backup-simplify]: Simplify 2.0 into 2.0
8.759 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.759 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.759 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.760 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.760 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.760 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.761 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.761 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
8.761 * [taylor]: Taking taylor expansion of 4.0 in beta
8.761 * [backup-simplify]: Simplify 4.0 into 4.0
8.761 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
8.761 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.761 * [taylor]: Taking taylor expansion of beta in beta
8.761 * [backup-simplify]: Simplify 0 into 0
8.761 * [backup-simplify]: Simplify 1 into 1
8.761 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
8.761 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
8.761 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.761 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.761 * [taylor]: Taking taylor expansion of 2.0 in beta
8.761 * [backup-simplify]: Simplify 2.0 into 2.0
8.761 * [taylor]: Taking taylor expansion of i in beta
8.761 * [backup-simplify]: Simplify i into i
8.761 * [taylor]: Taking taylor expansion of beta in beta
8.761 * [backup-simplify]: Simplify 0 into 0
8.761 * [backup-simplify]: Simplify 1 into 1
8.761 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.761 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.761 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
8.761 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.762 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.762 * [taylor]: Taking taylor expansion of 2.0 in beta
8.762 * [backup-simplify]: Simplify 2.0 into 2.0
8.762 * [taylor]: Taking taylor expansion of i in beta
8.762 * [backup-simplify]: Simplify i into i
8.762 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.762 * [taylor]: Taking taylor expansion of beta in beta
8.762 * [backup-simplify]: Simplify 0 into 0
8.762 * [backup-simplify]: Simplify 1 into 1
8.762 * [taylor]: Taking taylor expansion of 2.0 in beta
8.762 * [backup-simplify]: Simplify 2.0 into 2.0
8.762 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.767 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.767 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.768 * [backup-simplify]: Simplify (* 1 1) into 1
8.768 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.769 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
8.769 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.769 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
8.770 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.774 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
8.775 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))) in beta
8.775 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.775 * [taylor]: Taking taylor expansion of 48.0 in beta
8.775 * [backup-simplify]: Simplify 48.0 into 48.0
8.775 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.775 * [taylor]: Taking taylor expansion of (* i (pow beta 4)) in beta
8.775 * [taylor]: Taking taylor expansion of i in beta
8.775 * [backup-simplify]: Simplify i into i
8.775 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
8.775 * [taylor]: Taking taylor expansion of beta in beta
8.775 * [backup-simplify]: Simplify 0 into 0
8.775 * [backup-simplify]: Simplify 1 into 1
8.775 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.775 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.775 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.775 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.775 * [taylor]: Taking taylor expansion of 2.0 in beta
8.775 * [backup-simplify]: Simplify 2.0 into 2.0
8.775 * [taylor]: Taking taylor expansion of i in beta
8.775 * [backup-simplify]: Simplify i into i
8.775 * [taylor]: Taking taylor expansion of beta in beta
8.775 * [backup-simplify]: Simplify 0 into 0
8.775 * [backup-simplify]: Simplify 1 into 1
8.775 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.775 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.775 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.776 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.776 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.776 * [taylor]: Taking taylor expansion of 2.0 in beta
8.776 * [backup-simplify]: Simplify 2.0 into 2.0
8.776 * [taylor]: Taking taylor expansion of i in beta
8.776 * [backup-simplify]: Simplify i into i
8.776 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.776 * [taylor]: Taking taylor expansion of beta in beta
8.776 * [backup-simplify]: Simplify 0 into 0
8.776 * [backup-simplify]: Simplify 1 into 1
8.776 * [taylor]: Taking taylor expansion of 2.0 in beta
8.776 * [backup-simplify]: Simplify 2.0 into 2.0
8.776 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.777 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.777 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.777 * [backup-simplify]: Simplify (* 1 1) into 1
8.777 * [backup-simplify]: Simplify (* 1 1) into 1
8.778 * [backup-simplify]: Simplify (* i 1) into i
8.778 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.778 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.778 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.783 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.783 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.784 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
8.784 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))) in beta
8.784 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.784 * [taylor]: Taking taylor expansion of 24.0 in beta
8.784 * [backup-simplify]: Simplify 24.0 into 24.0
8.784 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.784 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.784 * [taylor]: Taking taylor expansion of beta in beta
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 1 into 1
8.784 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.784 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.784 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.784 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.784 * [taylor]: Taking taylor expansion of 2.0 in beta
8.784 * [backup-simplify]: Simplify 2.0 into 2.0
8.784 * [taylor]: Taking taylor expansion of i in beta
8.784 * [backup-simplify]: Simplify i into i
8.784 * [taylor]: Taking taylor expansion of beta in beta
8.784 * [backup-simplify]: Simplify 0 into 0
8.784 * [backup-simplify]: Simplify 1 into 1
8.785 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.785 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.785 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.785 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.785 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.785 * [taylor]: Taking taylor expansion of 2.0 in beta
8.785 * [backup-simplify]: Simplify 2.0 into 2.0
8.785 * [taylor]: Taking taylor expansion of i in beta
8.785 * [backup-simplify]: Simplify i into i
8.785 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.785 * [taylor]: Taking taylor expansion of beta in beta
8.785 * [backup-simplify]: Simplify 0 into 0
8.785 * [backup-simplify]: Simplify 1 into 1
8.785 * [taylor]: Taking taylor expansion of 2.0 in beta
8.785 * [backup-simplify]: Simplify 2.0 into 2.0
8.785 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.786 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.786 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.790 * [backup-simplify]: Simplify (* 1 1) into 1
8.791 * [backup-simplify]: Simplify (* 1 1) into 1
8.791 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.792 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.792 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.792 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.793 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.793 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.793 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))) in beta
8.793 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.793 * [taylor]: Taking taylor expansion of 96.0 in beta
8.793 * [backup-simplify]: Simplify 96.0 into 96.0
8.794 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.794 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
8.794 * [taylor]: Taking taylor expansion of i in beta
8.794 * [backup-simplify]: Simplify i into i
8.794 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.794 * [taylor]: Taking taylor expansion of beta in beta
8.794 * [backup-simplify]: Simplify 0 into 0
8.794 * [backup-simplify]: Simplify 1 into 1
8.794 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.794 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.794 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.794 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.794 * [taylor]: Taking taylor expansion of 2.0 in beta
8.794 * [backup-simplify]: Simplify 2.0 into 2.0
8.794 * [taylor]: Taking taylor expansion of i in beta
8.794 * [backup-simplify]: Simplify i into i
8.794 * [taylor]: Taking taylor expansion of beta in beta
8.794 * [backup-simplify]: Simplify 0 into 0
8.794 * [backup-simplify]: Simplify 1 into 1
8.794 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.795 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.795 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.795 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.795 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.795 * [taylor]: Taking taylor expansion of 2.0 in beta
8.795 * [backup-simplify]: Simplify 2.0 into 2.0
8.795 * [taylor]: Taking taylor expansion of i in beta
8.795 * [backup-simplify]: Simplify i into i
8.795 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.795 * [taylor]: Taking taylor expansion of beta in beta
8.795 * [backup-simplify]: Simplify 0 into 0
8.795 * [backup-simplify]: Simplify 1 into 1
8.795 * [taylor]: Taking taylor expansion of 2.0 in beta
8.795 * [backup-simplify]: Simplify 2.0 into 2.0
8.795 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.799 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.799 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.800 * [backup-simplify]: Simplify (* 1 1) into 1
8.800 * [backup-simplify]: Simplify (* 1 1) into 1
8.800 * [backup-simplify]: Simplify (* i 1) into i
8.800 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.800 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.801 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.801 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.801 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.801 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
8.801 * [taylor]: Taking taylor expansion of (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))) in beta
8.801 * [taylor]: Taking taylor expansion of (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.801 * [taylor]: Taking taylor expansion of 8 in beta
8.801 * [backup-simplify]: Simplify 8 into 8
8.801 * [taylor]: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.801 * [taylor]: Taking taylor expansion of (pow beta 5) in beta
8.801 * [taylor]: Taking taylor expansion of beta in beta
8.801 * [backup-simplify]: Simplify 0 into 0
8.801 * [backup-simplify]: Simplify 1 into 1
8.801 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.801 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.801 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.801 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.801 * [taylor]: Taking taylor expansion of 2.0 in beta
8.801 * [backup-simplify]: Simplify 2.0 into 2.0
8.802 * [taylor]: Taking taylor expansion of i in beta
8.802 * [backup-simplify]: Simplify i into i
8.802 * [taylor]: Taking taylor expansion of beta in beta
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify 1 into 1
8.802 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.802 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.802 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.802 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.802 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.802 * [taylor]: Taking taylor expansion of 2.0 in beta
8.802 * [backup-simplify]: Simplify 2.0 into 2.0
8.802 * [taylor]: Taking taylor expansion of i in beta
8.802 * [backup-simplify]: Simplify i into i
8.802 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.802 * [taylor]: Taking taylor expansion of beta in beta
8.802 * [backup-simplify]: Simplify 0 into 0
8.802 * [backup-simplify]: Simplify 1 into 1
8.802 * [taylor]: Taking taylor expansion of 2.0 in beta
8.802 * [backup-simplify]: Simplify 2.0 into 2.0
8.802 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.802 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.803 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.803 * [backup-simplify]: Simplify (* 1 1) into 1
8.803 * [backup-simplify]: Simplify (* 1 1) into 1
8.804 * [backup-simplify]: Simplify (* 1 1) into 1
8.804 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.804 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.804 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.805 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.805 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.805 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.805 * [taylor]: Taking taylor expansion of (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))) in beta
8.806 * [taylor]: Taking taylor expansion of (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.806 * [taylor]: Taking taylor expansion of 64.0 in beta
8.806 * [backup-simplify]: Simplify 64.0 into 64.0
8.806 * [taylor]: Taking taylor expansion of (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.806 * [taylor]: Taking taylor expansion of (* (pow i 3) (pow beta 2)) in beta
8.806 * [taylor]: Taking taylor expansion of (pow i 3) in beta
8.806 * [taylor]: Taking taylor expansion of i in beta
8.806 * [backup-simplify]: Simplify i into i
8.806 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.806 * [taylor]: Taking taylor expansion of beta in beta
8.806 * [backup-simplify]: Simplify 0 into 0
8.806 * [backup-simplify]: Simplify 1 into 1
8.806 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.806 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.806 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.806 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.806 * [taylor]: Taking taylor expansion of 2.0 in beta
8.806 * [backup-simplify]: Simplify 2.0 into 2.0
8.806 * [taylor]: Taking taylor expansion of i in beta
8.806 * [backup-simplify]: Simplify i into i
8.806 * [taylor]: Taking taylor expansion of beta in beta
8.806 * [backup-simplify]: Simplify 0 into 0
8.806 * [backup-simplify]: Simplify 1 into 1
8.806 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.806 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.806 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.806 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.807 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.807 * [taylor]: Taking taylor expansion of 2.0 in beta
8.807 * [backup-simplify]: Simplify 2.0 into 2.0
8.807 * [taylor]: Taking taylor expansion of i in beta
8.807 * [backup-simplify]: Simplify i into i
8.807 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.807 * [taylor]: Taking taylor expansion of beta in beta
8.807 * [backup-simplify]: Simplify 0 into 0
8.807 * [backup-simplify]: Simplify 1 into 1
8.807 * [taylor]: Taking taylor expansion of 2.0 in beta
8.807 * [backup-simplify]: Simplify 2.0 into 2.0
8.807 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.808 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.808 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.808 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.808 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
8.808 * [backup-simplify]: Simplify (* 1 1) into 1
8.809 * [backup-simplify]: Simplify (* (pow i 3) 1) into (pow i 3)
8.809 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.809 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.809 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.810 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.810 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.811 * [backup-simplify]: Simplify (/ (pow i 3) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* i (pow (+ (* 2.0 i) 2.0) 4)))
8.811 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))) in beta
8.811 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.811 * [taylor]: Taking taylor expansion of 96.0 in beta
8.811 * [backup-simplify]: Simplify 96.0 into 96.0
8.811 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.811 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 3)) in beta
8.811 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.811 * [taylor]: Taking taylor expansion of i in beta
8.811 * [backup-simplify]: Simplify i into i
8.811 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
8.811 * [taylor]: Taking taylor expansion of beta in beta
8.811 * [backup-simplify]: Simplify 0 into 0
8.811 * [backup-simplify]: Simplify 1 into 1
8.811 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.811 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.811 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.811 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.811 * [taylor]: Taking taylor expansion of 2.0 in beta
8.811 * [backup-simplify]: Simplify 2.0 into 2.0
8.812 * [taylor]: Taking taylor expansion of i in beta
8.812 * [backup-simplify]: Simplify i into i
8.812 * [taylor]: Taking taylor expansion of beta in beta
8.812 * [backup-simplify]: Simplify 0 into 0
8.812 * [backup-simplify]: Simplify 1 into 1
8.812 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.812 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.812 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.812 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.812 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.812 * [taylor]: Taking taylor expansion of 2.0 in beta
8.812 * [backup-simplify]: Simplify 2.0 into 2.0
8.812 * [taylor]: Taking taylor expansion of i in beta
8.812 * [backup-simplify]: Simplify i into i
8.812 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.812 * [taylor]: Taking taylor expansion of beta in beta
8.812 * [backup-simplify]: Simplify 0 into 0
8.812 * [backup-simplify]: Simplify 1 into 1
8.812 * [taylor]: Taking taylor expansion of 2.0 in beta
8.812 * [backup-simplify]: Simplify 2.0 into 2.0
8.812 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.813 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.813 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.813 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.814 * [backup-simplify]: Simplify (* 1 1) into 1
8.814 * [backup-simplify]: Simplify (* 1 1) into 1
8.814 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
8.814 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.815 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.815 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.815 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.815 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.816 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
8.816 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))) in beta
8.816 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.816 * [taylor]: Taking taylor expansion of 24.0 in beta
8.816 * [backup-simplify]: Simplify 24.0 into 24.0
8.816 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.816 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
8.816 * [taylor]: Taking taylor expansion of beta in beta
8.816 * [backup-simplify]: Simplify 0 into 0
8.816 * [backup-simplify]: Simplify 1 into 1
8.816 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.816 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.816 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.816 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.817 * [taylor]: Taking taylor expansion of 2.0 in beta
8.817 * [backup-simplify]: Simplify 2.0 into 2.0
8.817 * [taylor]: Taking taylor expansion of i in beta
8.817 * [backup-simplify]: Simplify i into i
8.817 * [taylor]: Taking taylor expansion of beta in beta
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 1 into 1
8.817 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.817 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.817 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.817 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.817 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.817 * [taylor]: Taking taylor expansion of 2.0 in beta
8.817 * [backup-simplify]: Simplify 2.0 into 2.0
8.817 * [taylor]: Taking taylor expansion of i in beta
8.817 * [backup-simplify]: Simplify i into i
8.817 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.817 * [taylor]: Taking taylor expansion of beta in beta
8.817 * [backup-simplify]: Simplify 0 into 0
8.817 * [backup-simplify]: Simplify 1 into 1
8.817 * [taylor]: Taking taylor expansion of 2.0 in beta
8.817 * [backup-simplify]: Simplify 2.0 into 2.0
8.817 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.818 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.818 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.819 * [backup-simplify]: Simplify (* 1 1) into 1
8.819 * [backup-simplify]: Simplify (* 1 1) into 1
8.819 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.820 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.820 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.820 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.820 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.821 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.821 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))) in beta
8.821 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.821 * [taylor]: Taking taylor expansion of 8.0 in beta
8.821 * [backup-simplify]: Simplify 8.0 into 8.0
8.821 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.821 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.821 * [taylor]: Taking taylor expansion of beta in beta
8.821 * [backup-simplify]: Simplify 0 into 0
8.821 * [backup-simplify]: Simplify 1 into 1
8.821 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.821 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.821 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.821 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.821 * [taylor]: Taking taylor expansion of 2.0 in beta
8.821 * [backup-simplify]: Simplify 2.0 into 2.0
8.821 * [taylor]: Taking taylor expansion of i in beta
8.821 * [backup-simplify]: Simplify i into i
8.821 * [taylor]: Taking taylor expansion of beta in beta
8.822 * [backup-simplify]: Simplify 0 into 0
8.822 * [backup-simplify]: Simplify 1 into 1
8.822 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.822 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.822 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.822 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.822 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.822 * [taylor]: Taking taylor expansion of 2.0 in beta
8.822 * [backup-simplify]: Simplify 2.0 into 2.0
8.822 * [taylor]: Taking taylor expansion of i in beta
8.822 * [backup-simplify]: Simplify i into i
8.822 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.822 * [taylor]: Taking taylor expansion of beta in beta
8.822 * [backup-simplify]: Simplify 0 into 0
8.822 * [backup-simplify]: Simplify 1 into 1
8.822 * [taylor]: Taking taylor expansion of 2.0 in beta
8.822 * [backup-simplify]: Simplify 2.0 into 2.0
8.822 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.827 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.827 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.827 * [backup-simplify]: Simplify (* 1 1) into 1
8.827 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.828 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.828 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.828 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.828 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.828 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.828 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))) in beta
8.828 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.829 * [taylor]: Taking taylor expansion of 48.0 in beta
8.829 * [backup-simplify]: Simplify 48.0 into 48.0
8.829 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.829 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
8.829 * [taylor]: Taking taylor expansion of i in beta
8.829 * [backup-simplify]: Simplify i into i
8.829 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.829 * [taylor]: Taking taylor expansion of beta in beta
8.829 * [backup-simplify]: Simplify 0 into 0
8.829 * [backup-simplify]: Simplify 1 into 1
8.829 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.829 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.829 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.829 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.829 * [taylor]: Taking taylor expansion of 2.0 in beta
8.829 * [backup-simplify]: Simplify 2.0 into 2.0
8.829 * [taylor]: Taking taylor expansion of i in beta
8.829 * [backup-simplify]: Simplify i into i
8.829 * [taylor]: Taking taylor expansion of beta in beta
8.829 * [backup-simplify]: Simplify 0 into 0
8.829 * [backup-simplify]: Simplify 1 into 1
8.829 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.829 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.829 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.829 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.829 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.829 * [taylor]: Taking taylor expansion of 2.0 in beta
8.829 * [backup-simplify]: Simplify 2.0 into 2.0
8.829 * [taylor]: Taking taylor expansion of i in beta
8.829 * [backup-simplify]: Simplify i into i
8.829 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.829 * [taylor]: Taking taylor expansion of beta in beta
8.829 * [backup-simplify]: Simplify 0 into 0
8.829 * [backup-simplify]: Simplify 1 into 1
8.829 * [taylor]: Taking taylor expansion of 2.0 in beta
8.829 * [backup-simplify]: Simplify 2.0 into 2.0
8.829 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.830 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.830 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.830 * [backup-simplify]: Simplify (* 1 1) into 1
8.830 * [backup-simplify]: Simplify (* i 1) into i
8.830 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.830 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.830 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.831 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.831 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.831 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
8.832 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
8.832 * [taylor]: Taking taylor expansion of 96.0 in beta
8.832 * [backup-simplify]: Simplify 96.0 into 96.0
8.832 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
8.832 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
8.832 * [taylor]: Taking taylor expansion of (pow i 2) in beta
8.832 * [taylor]: Taking taylor expansion of i in beta
8.832 * [backup-simplify]: Simplify i into i
8.832 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
8.832 * [taylor]: Taking taylor expansion of beta in beta
8.832 * [backup-simplify]: Simplify 0 into 0
8.832 * [backup-simplify]: Simplify 1 into 1
8.832 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
8.832 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
8.832 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
8.832 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.832 * [taylor]: Taking taylor expansion of 2.0 in beta
8.832 * [backup-simplify]: Simplify 2.0 into 2.0
8.832 * [taylor]: Taking taylor expansion of i in beta
8.832 * [backup-simplify]: Simplify i into i
8.832 * [taylor]: Taking taylor expansion of beta in beta
8.832 * [backup-simplify]: Simplify 0 into 0
8.832 * [backup-simplify]: Simplify 1 into 1
8.832 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.832 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
8.833 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
8.833 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
8.833 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
8.833 * [taylor]: Taking taylor expansion of 2.0 in beta
8.833 * [backup-simplify]: Simplify 2.0 into 2.0
8.833 * [taylor]: Taking taylor expansion of i in beta
8.833 * [backup-simplify]: Simplify i into i
8.833 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
8.833 * [taylor]: Taking taylor expansion of beta in beta
8.833 * [backup-simplify]: Simplify 0 into 0
8.833 * [backup-simplify]: Simplify 1 into 1
8.833 * [taylor]: Taking taylor expansion of 2.0 in beta
8.833 * [backup-simplify]: Simplify 2.0 into 2.0
8.833 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
8.834 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.834 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
8.834 * [backup-simplify]: Simplify (* i i) into (pow i 2)
8.835 * [backup-simplify]: Simplify (* 1 1) into 1
8.835 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
8.835 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
8.836 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
8.836 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
8.836 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
8.836 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
8.837 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
8.837 * [backup-simplify]: Simplify (* 4.0 (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2)))
8.838 * [backup-simplify]: Simplify (* 2.0 (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
8.838 * [backup-simplify]: Simplify (+ (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) 0) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
8.839 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
8.839 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
8.840 * [backup-simplify]: Simplify (+ (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2))) (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
8.840 * [backup-simplify]: Simplify (+ 0 (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
8.841 * [backup-simplify]: Simplify (+ (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) 0) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
8.841 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) in i
8.842 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) in i
8.842 * [taylor]: Taking taylor expansion of 0.5 in i
8.842 * [backup-simplify]: Simplify 0.5 into 0.5
8.842 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) in i
8.842 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)) in i
8.842 * [taylor]: Taking taylor expansion of (pow i 2) in i
8.842 * [taylor]: Taking taylor expansion of i in i
8.842 * [backup-simplify]: Simplify 0 into 0
8.842 * [backup-simplify]: Simplify 1 into 1
8.842 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
8.842 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.842 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.842 * [taylor]: Taking taylor expansion of 2.0 in i
8.842 * [backup-simplify]: Simplify 2.0 into 2.0
8.842 * [taylor]: Taking taylor expansion of i in i
8.842 * [backup-simplify]: Simplify 0 into 0
8.842 * [backup-simplify]: Simplify 1 into 1
8.842 * [taylor]: Taking taylor expansion of 2.0 in i
8.842 * [backup-simplify]: Simplify 2.0 into 2.0
8.843 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.843 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.844 * [backup-simplify]: Simplify (* 1 1) into 1
8.844 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.845 * [backup-simplify]: Simplify (* 1 4.0) into 4.0
8.845 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
8.845 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
8.845 * [taylor]: Taking taylor expansion of 1.0 in i
8.845 * [backup-simplify]: Simplify 1.0 into 1.0
8.845 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
8.845 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
8.845 * [taylor]: Taking taylor expansion of i in i
8.845 * [backup-simplify]: Simplify 0 into 0
8.845 * [backup-simplify]: Simplify 1 into 1
8.845 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
8.845 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
8.845 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
8.845 * [taylor]: Taking taylor expansion of 2.0 in i
8.845 * [backup-simplify]: Simplify 2.0 into 2.0
8.846 * [taylor]: Taking taylor expansion of i in i
8.846 * [backup-simplify]: Simplify 0 into 0
8.846 * [backup-simplify]: Simplify 1 into 1
8.846 * [taylor]: Taking taylor expansion of 2.0 in i
8.846 * [backup-simplify]: Simplify 2.0 into 2.0
8.846 * [backup-simplify]: Simplify (* 2.0 0) into 0
8.847 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.847 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.847 * [backup-simplify]: Simplify (* 0 4.0) into 0
8.849 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.850 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.851 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
8.853 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
8.853 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
8.854 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.855 * [backup-simplify]: Simplify (+ 0 0) into 0
8.867 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
8.867 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.870 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
8.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
8.872 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
8.873 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
8.875 * [backup-simplify]: Simplify (+ (* 1 4.0) (+ (* 0 8.0) (* 0 4.0))) into 4.0
8.877 * [backup-simplify]: Simplify (+ (* 1 8.0) (* 0 4.0)) into 8.0
8.880 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
8.885 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
8.888 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
8.889 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
8.890 * [backup-simplify]: Simplify (+ 0 0) into 0
8.892 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
8.896 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
8.898 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
8.901 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
8.902 * [backup-simplify]: Simplify (+ 0.375 (- 0.5)) into (- 0.125)
8.902 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
8.904 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (* 1 (* 1 alpha)) 3)) (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (* 0.25 (pow (* 1 (* 1 alpha)) 2)))) into (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
8.906 * [backup-simplify]: Simplify (/ (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)) into (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
8.906 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
8.906 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
8.906 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
8.906 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
8.906 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.906 * [taylor]: Taking taylor expansion of alpha in i
8.906 * [backup-simplify]: Simplify alpha into alpha
8.922 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.922 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.922 * [taylor]: Taking taylor expansion of beta in i
8.922 * [backup-simplify]: Simplify beta into beta
8.922 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.922 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
8.922 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.922 * [taylor]: Taking taylor expansion of beta in i
8.922 * [backup-simplify]: Simplify beta into beta
8.922 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.922 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.922 * [taylor]: Taking taylor expansion of alpha in i
8.922 * [backup-simplify]: Simplify alpha into alpha
8.922 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.922 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
8.922 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
8.922 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.922 * [taylor]: Taking taylor expansion of alpha in i
8.923 * [backup-simplify]: Simplify alpha into alpha
8.923 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.923 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
8.923 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.923 * [taylor]: Taking taylor expansion of 2.0 in i
8.923 * [backup-simplify]: Simplify 2.0 into 2.0
8.923 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.923 * [taylor]: Taking taylor expansion of i in i
8.923 * [backup-simplify]: Simplify 0 into 0
8.923 * [backup-simplify]: Simplify 1 into 1
8.923 * [backup-simplify]: Simplify (/ 1 1) into 1
8.923 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
8.923 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.924 * [taylor]: Taking taylor expansion of beta in i
8.924 * [backup-simplify]: Simplify beta into beta
8.924 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.924 * [taylor]: Taking taylor expansion of 2.0 in i
8.924 * [backup-simplify]: Simplify 2.0 into 2.0
8.924 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
8.924 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
8.924 * [taylor]: Taking taylor expansion of alpha in i
8.924 * [backup-simplify]: Simplify alpha into alpha
8.924 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.924 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
8.924 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
8.924 * [taylor]: Taking taylor expansion of 2.0 in i
8.924 * [backup-simplify]: Simplify 2.0 into 2.0
8.924 * [taylor]: Taking taylor expansion of (/ 1 i) in i
8.924 * [taylor]: Taking taylor expansion of i in i
8.924 * [backup-simplify]: Simplify 0 into 0
8.924 * [backup-simplify]: Simplify 1 into 1
8.925 * [backup-simplify]: Simplify (/ 1 1) into 1
8.925 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
8.925 * [taylor]: Taking taylor expansion of beta in i
8.925 * [backup-simplify]: Simplify beta into beta
8.925 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
8.925 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
8.925 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
8.925 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
8.925 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
8.926 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.926 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.926 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.927 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
8.928 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
8.928 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
8.929 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
8.929 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 4.0) into (* 0.25 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
8.929 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
8.929 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
8.929 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
8.929 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.929 * [taylor]: Taking taylor expansion of alpha in beta
8.929 * [backup-simplify]: Simplify alpha into alpha
8.929 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.929 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.929 * [taylor]: Taking taylor expansion of beta in beta
8.930 * [backup-simplify]: Simplify 0 into 0
8.930 * [backup-simplify]: Simplify 1 into 1
8.930 * [backup-simplify]: Simplify (/ 1 1) into 1
8.930 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
8.930 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.930 * [taylor]: Taking taylor expansion of beta in beta
8.930 * [backup-simplify]: Simplify 0 into 0
8.930 * [backup-simplify]: Simplify 1 into 1
8.931 * [backup-simplify]: Simplify (/ 1 1) into 1
8.931 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.931 * [taylor]: Taking taylor expansion of alpha in beta
8.931 * [backup-simplify]: Simplify alpha into alpha
8.931 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.931 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
8.931 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
8.931 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.931 * [taylor]: Taking taylor expansion of alpha in beta
8.931 * [backup-simplify]: Simplify alpha into alpha
8.931 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.931 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
8.931 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.931 * [taylor]: Taking taylor expansion of 2.0 in beta
8.931 * [backup-simplify]: Simplify 2.0 into 2.0
8.931 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.931 * [taylor]: Taking taylor expansion of i in beta
8.931 * [backup-simplify]: Simplify i into i
8.931 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.931 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
8.931 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.931 * [taylor]: Taking taylor expansion of beta in beta
8.931 * [backup-simplify]: Simplify 0 into 0
8.931 * [backup-simplify]: Simplify 1 into 1
8.932 * [backup-simplify]: Simplify (/ 1 1) into 1
8.932 * [taylor]: Taking taylor expansion of 2.0 in beta
8.932 * [backup-simplify]: Simplify 2.0 into 2.0
8.932 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
8.932 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
8.932 * [taylor]: Taking taylor expansion of alpha in beta
8.932 * [backup-simplify]: Simplify alpha into alpha
8.932 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
8.932 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
8.932 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
8.932 * [taylor]: Taking taylor expansion of 2.0 in beta
8.932 * [backup-simplify]: Simplify 2.0 into 2.0
8.932 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
8.932 * [taylor]: Taking taylor expansion of i in beta
8.932 * [backup-simplify]: Simplify i into i
8.932 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
8.932 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
8.932 * [taylor]: Taking taylor expansion of beta in beta
8.933 * [backup-simplify]: Simplify 0 into 0
8.933 * [backup-simplify]: Simplify 1 into 1
8.933 * [backup-simplify]: Simplify (/ 1 1) into 1
8.933 * [backup-simplify]: Simplify (+ 0 1) into 1
8.934 * [backup-simplify]: Simplify (+ 1 0) into 1
8.934 * [backup-simplify]: Simplify (* 1 1) into 1
8.935 * [backup-simplify]: Simplify (+ 1 0) into 1
8.936 * [backup-simplify]: Simplify (+ 0 1) into 1
8.936 * [backup-simplify]: Simplify (+ 0 1) into 1
8.937 * [backup-simplify]: Simplify (+ 0 1) into 1
8.937 * [backup-simplify]: Simplify (+ 0 1) into 1
8.937 * [backup-simplify]: Simplify (* 1 1) into 1
9.227 * [backup-simplify]: Simplify (/ 1 1) into 1
9.233 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
9.240 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
9.240 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
9.242 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.242 * [taylor]: Taking taylor expansion of alpha in alpha
9.243 * [backup-simplify]: Simplify 0 into 0
9.243 * [backup-simplify]: Simplify 1 into 1
9.301 * [backup-simplify]: Simplify (/ 1 1) into 1
9.301 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.301 * [taylor]: Taking taylor expansion of beta in alpha
9.301 * [backup-simplify]: Simplify beta into beta
9.301 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.301 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
9.301 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.301 * [taylor]: Taking taylor expansion of beta in alpha
9.302 * [backup-simplify]: Simplify beta into beta
9.302 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.302 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.302 * [taylor]: Taking taylor expansion of alpha in alpha
9.302 * [backup-simplify]: Simplify 0 into 0
9.302 * [backup-simplify]: Simplify 1 into 1
9.303 * [backup-simplify]: Simplify (/ 1 1) into 1
9.303 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
9.303 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
9.303 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.303 * [taylor]: Taking taylor expansion of alpha in alpha
9.303 * [backup-simplify]: Simplify 0 into 0
9.303 * [backup-simplify]: Simplify 1 into 1
9.309 * [backup-simplify]: Simplify (/ 1 1) into 1
9.309 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
9.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
9.309 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.309 * [backup-simplify]: Simplify 2.0 into 2.0
9.310 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
9.310 * [taylor]: Taking taylor expansion of i in alpha
9.310 * [backup-simplify]: Simplify i into i
9.310 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.310 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
9.310 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.310 * [taylor]: Taking taylor expansion of beta in alpha
9.310 * [backup-simplify]: Simplify beta into beta
9.310 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.310 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.310 * [backup-simplify]: Simplify 2.0 into 2.0
9.310 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
9.310 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.310 * [taylor]: Taking taylor expansion of alpha in alpha
9.310 * [backup-simplify]: Simplify 0 into 0
9.310 * [backup-simplify]: Simplify 1 into 1
9.311 * [backup-simplify]: Simplify (/ 1 1) into 1
9.311 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
9.311 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
9.311 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.311 * [backup-simplify]: Simplify 2.0 into 2.0
9.311 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
9.311 * [taylor]: Taking taylor expansion of i in alpha
9.311 * [backup-simplify]: Simplify i into i
9.311 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.311 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.311 * [taylor]: Taking taylor expansion of beta in alpha
9.311 * [backup-simplify]: Simplify beta into beta
9.311 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.327 * [backup-simplify]: Simplify (+ 1 0) into 1
9.327 * [backup-simplify]: Simplify (- 1) into -1
9.334 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.334 * [backup-simplify]: Simplify (* 1 -1) into -1
9.335 * [backup-simplify]: Simplify (+ 1 0) into 1
9.335 * [backup-simplify]: Simplify (+ 1 0) into 1
9.335 * [backup-simplify]: Simplify (* 1 1) into 1
9.336 * [backup-simplify]: Simplify (/ -1 1) into -1
9.336 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
9.336 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
9.336 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
9.336 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.336 * [taylor]: Taking taylor expansion of alpha in alpha
9.336 * [backup-simplify]: Simplify 0 into 0
9.336 * [backup-simplify]: Simplify 1 into 1
9.336 * [backup-simplify]: Simplify (/ 1 1) into 1
9.337 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.337 * [taylor]: Taking taylor expansion of beta in alpha
9.337 * [backup-simplify]: Simplify beta into beta
9.337 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.337 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
9.337 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.337 * [taylor]: Taking taylor expansion of beta in alpha
9.337 * [backup-simplify]: Simplify beta into beta
9.337 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.337 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.337 * [taylor]: Taking taylor expansion of alpha in alpha
9.337 * [backup-simplify]: Simplify 0 into 0
9.337 * [backup-simplify]: Simplify 1 into 1
9.337 * [backup-simplify]: Simplify (/ 1 1) into 1
9.337 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
9.337 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
9.338 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.338 * [taylor]: Taking taylor expansion of alpha in alpha
9.338 * [backup-simplify]: Simplify 0 into 0
9.338 * [backup-simplify]: Simplify 1 into 1
9.343 * [backup-simplify]: Simplify (/ 1 1) into 1
9.343 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
9.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
9.343 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.343 * [backup-simplify]: Simplify 2.0 into 2.0
9.343 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
9.343 * [taylor]: Taking taylor expansion of i in alpha
9.343 * [backup-simplify]: Simplify i into i
9.343 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.343 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
9.343 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.343 * [taylor]: Taking taylor expansion of beta in alpha
9.343 * [backup-simplify]: Simplify beta into beta
9.343 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.343 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.343 * [backup-simplify]: Simplify 2.0 into 2.0
9.343 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
9.344 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.344 * [taylor]: Taking taylor expansion of alpha in alpha
9.344 * [backup-simplify]: Simplify 0 into 0
9.344 * [backup-simplify]: Simplify 1 into 1
9.344 * [backup-simplify]: Simplify (/ 1 1) into 1
9.344 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
9.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
9.344 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.344 * [backup-simplify]: Simplify 2.0 into 2.0
9.344 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
9.344 * [taylor]: Taking taylor expansion of i in alpha
9.344 * [backup-simplify]: Simplify i into i
9.344 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.344 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.345 * [taylor]: Taking taylor expansion of beta in alpha
9.345 * [backup-simplify]: Simplify beta into beta
9.345 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.345 * [backup-simplify]: Simplify (+ 1 0) into 1
9.345 * [backup-simplify]: Simplify (- 1) into -1
9.346 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.346 * [backup-simplify]: Simplify (* 1 -1) into -1
9.355 * [backup-simplify]: Simplify (+ 1 0) into 1
9.356 * [backup-simplify]: Simplify (+ 1 0) into 1
9.356 * [backup-simplify]: Simplify (* 1 1) into 1
9.356 * [backup-simplify]: Simplify (/ -1 1) into -1
9.356 * [taylor]: Taking taylor expansion of -1 in beta
9.357 * [backup-simplify]: Simplify -1 into -1
9.357 * [taylor]: Taking taylor expansion of -1 in i
9.357 * [backup-simplify]: Simplify -1 into -1
9.357 * [backup-simplify]: Simplify 0 into 0
9.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.358 * [backup-simplify]: Simplify (- 0) into 0
9.366 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
9.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.368 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
9.368 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
9.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.369 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
9.369 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
9.370 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
9.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.379 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
9.379 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
9.379 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
9.379 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
9.380 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
9.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
9.381 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
9.381 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
9.381 * [taylor]: Taking taylor expansion of 4.0 in beta
9.381 * [backup-simplify]: Simplify 4.0 into 4.0
9.381 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
9.381 * [taylor]: Taking taylor expansion of i in beta
9.381 * [backup-simplify]: Simplify i into i
9.381 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.381 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
9.381 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
9.381 * [taylor]: Taking taylor expansion of 2 in beta
9.381 * [backup-simplify]: Simplify 2 into 2
9.381 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
9.381 * [taylor]: Taking taylor expansion of beta in beta
9.381 * [backup-simplify]: Simplify 0 into 0
9.381 * [backup-simplify]: Simplify 1 into 1
9.381 * [backup-simplify]: Simplify (/ 1 1) into 1
9.381 * [taylor]: Taking taylor expansion of 2.0 in beta
9.381 * [backup-simplify]: Simplify 2.0 into 2.0
9.382 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
9.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.383 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
9.383 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
9.384 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
9.384 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
9.384 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
9.384 * [taylor]: Taking taylor expansion of 4.0 in i
9.384 * [backup-simplify]: Simplify 4.0 into 4.0
9.384 * [taylor]: Taking taylor expansion of (/ 1 i) in i
9.384 * [taylor]: Taking taylor expansion of i in i
9.384 * [backup-simplify]: Simplify 0 into 0
9.384 * [backup-simplify]: Simplify 1 into 1
9.384 * [backup-simplify]: Simplify (/ 1 1) into 1
9.384 * [taylor]: Taking taylor expansion of 2.0 in i
9.384 * [backup-simplify]: Simplify 2.0 into 2.0
9.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.388 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.388 * [backup-simplify]: Simplify (+ 0 0) into 0
9.388 * [backup-simplify]: Simplify 0 into 0
9.388 * [taylor]: Taking taylor expansion of 0 in i
9.389 * [backup-simplify]: Simplify 0 into 0
9.389 * [backup-simplify]: Simplify 0 into 0
9.389 * [backup-simplify]: Simplify 0 into 0
9.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
9.390 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.390 * [backup-simplify]: Simplify (- 0) into 0
9.390 * [backup-simplify]: Simplify (+ 0 0) into 0
9.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.392 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
9.392 * [backup-simplify]: Simplify (+ 0 0) into 0
9.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
9.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.395 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
9.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
9.396 * [backup-simplify]: Simplify (+ 0 0) into 0
9.396 * [backup-simplify]: Simplify (+ 0 0) into 0
9.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.397 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
9.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
9.398 * [backup-simplify]: Simplify (+ 0 0) into 0
9.398 * [backup-simplify]: Simplify (+ 0 0) into 0
9.398 * [backup-simplify]: Simplify (+ 0 0) into 0
9.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
9.403 * [backup-simplify]: Simplify (- (/ (/ 1 (pow beta 2)) 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
9.403 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) in beta
9.403 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) in beta
9.403 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
9.403 * [taylor]: Taking taylor expansion of 2 in beta
9.403 * [backup-simplify]: Simplify 2 into 2
9.403 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
9.403 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
9.403 * [taylor]: Taking taylor expansion of beta in beta
9.403 * [backup-simplify]: Simplify 0 into 0
9.403 * [backup-simplify]: Simplify 1 into 1
9.403 * [backup-simplify]: Simplify (* 1 1) into 1
9.404 * [backup-simplify]: Simplify (/ 1 1) into 1
9.404 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))) in beta
9.404 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
9.404 * [taylor]: Taking taylor expansion of 12.0 in beta
9.404 * [backup-simplify]: Simplify 12.0 into 12.0
9.404 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
9.404 * [taylor]: Taking taylor expansion of (* i beta) in beta
9.404 * [taylor]: Taking taylor expansion of i in beta
9.404 * [backup-simplify]: Simplify i into i
9.404 * [taylor]: Taking taylor expansion of beta in beta
9.404 * [backup-simplify]: Simplify 0 into 0
9.404 * [backup-simplify]: Simplify 1 into 1
9.404 * [backup-simplify]: Simplify (* i 0) into 0
9.405 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
9.405 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.405 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))) in beta
9.405 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
9.405 * [taylor]: Taking taylor expansion of 12.0 in beta
9.405 * [backup-simplify]: Simplify 12.0 into 12.0
9.405 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
9.405 * [taylor]: Taking taylor expansion of (pow i 2) in beta
9.405 * [taylor]: Taking taylor expansion of i in beta
9.405 * [backup-simplify]: Simplify i into i
9.405 * [backup-simplify]: Simplify (* i i) into (pow i 2)
9.405 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
9.405 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)) in beta
9.405 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
9.405 * [taylor]: Taking taylor expansion of 12.0 in beta
9.405 * [backup-simplify]: Simplify 12.0 into 12.0
9.405 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
9.405 * [taylor]: Taking taylor expansion of i in beta
9.405 * [backup-simplify]: Simplify i into i
9.405 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.405 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) 4.0) in beta
9.405 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
9.405 * [taylor]: Taking taylor expansion of 6.0 in beta
9.406 * [backup-simplify]: Simplify 6.0 into 6.0
9.406 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
9.406 * [taylor]: Taking taylor expansion of beta in beta
9.406 * [backup-simplify]: Simplify 0 into 0
9.406 * [backup-simplify]: Simplify 1 into 1
9.406 * [backup-simplify]: Simplify (/ 1 1) into 1
9.406 * [taylor]: Taking taylor expansion of 4.0 in beta
9.406 * [backup-simplify]: Simplify 4.0 into 4.0
9.407 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.410 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.411 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
9.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.412 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
9.412 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
9.412 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
9.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.413 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
9.414 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
9.414 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
9.414 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
9.415 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
9.415 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
9.416 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
9.416 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
9.416 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
9.416 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
9.416 * [taylor]: Taking taylor expansion of 12.0 in i
9.416 * [backup-simplify]: Simplify 12.0 into 12.0
9.416 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
9.416 * [taylor]: Taking taylor expansion of (pow i 2) in i
9.416 * [taylor]: Taking taylor expansion of i in i
9.416 * [backup-simplify]: Simplify 0 into 0
9.416 * [backup-simplify]: Simplify 1 into 1
9.416 * [backup-simplify]: Simplify (* 1 1) into 1
9.417 * [backup-simplify]: Simplify (/ 1 1) into 1
9.417 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
9.417 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
9.417 * [taylor]: Taking taylor expansion of 12.0 in i
9.417 * [backup-simplify]: Simplify 12.0 into 12.0
9.417 * [taylor]: Taking taylor expansion of (/ 1 i) in i
9.417 * [taylor]: Taking taylor expansion of i in i
9.417 * [backup-simplify]: Simplify 0 into 0
9.417 * [backup-simplify]: Simplify 1 into 1
9.417 * [backup-simplify]: Simplify (/ 1 1) into 1
9.417 * [taylor]: Taking taylor expansion of 4.0 in i
9.418 * [backup-simplify]: Simplify 4.0 into 4.0
9.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.422 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.427 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.430 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.431 * [backup-simplify]: Simplify (+ 0 0) into 0
9.431 * [backup-simplify]: Simplify (+ 0 0) into 0
9.431 * [backup-simplify]: Simplify (- 0) into 0
9.431 * [backup-simplify]: Simplify 0 into 0
9.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.432 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
9.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.434 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.435 * [backup-simplify]: Simplify (+ 0 0) into 0
9.435 * [backup-simplify]: Simplify (+ 0 0) into 0
9.435 * [taylor]: Taking taylor expansion of 0 in i
9.435 * [backup-simplify]: Simplify 0 into 0
9.435 * [backup-simplify]: Simplify 0 into 0
9.435 * [backup-simplify]: Simplify 0 into 0
9.436 * [backup-simplify]: Simplify (/ (/ (* (+ (/ 1 (- alpha)) (/ 1 (- beta))) (- (/ 1 (- beta)) (/ 1 (- alpha)))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)) into (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
9.436 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
9.437 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
9.437 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
9.437 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
9.437 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
9.437 * [taylor]: Taking taylor expansion of alpha in i
9.437 * [backup-simplify]: Simplify alpha into alpha
9.437 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
9.437 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
9.437 * [taylor]: Taking taylor expansion of beta in i
9.437 * [backup-simplify]: Simplify beta into beta
9.437 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.437 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
9.437 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
9.437 * [taylor]: Taking taylor expansion of alpha in i
9.437 * [backup-simplify]: Simplify alpha into alpha
9.437 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
9.437 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
9.437 * [taylor]: Taking taylor expansion of beta in i
9.437 * [backup-simplify]: Simplify beta into beta
9.437 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.437 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
9.437 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
9.437 * [taylor]: Taking taylor expansion of 2.0 in i
9.437 * [backup-simplify]: Simplify 2.0 into 2.0
9.437 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
9.437 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
9.437 * [taylor]: Taking taylor expansion of alpha in i
9.437 * [backup-simplify]: Simplify alpha into alpha
9.437 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
9.438 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
9.438 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
9.438 * [taylor]: Taking taylor expansion of 2.0 in i
9.438 * [backup-simplify]: Simplify 2.0 into 2.0
9.438 * [taylor]: Taking taylor expansion of (/ 1 i) in i
9.438 * [taylor]: Taking taylor expansion of i in i
9.438 * [backup-simplify]: Simplify 0 into 0
9.438 * [backup-simplify]: Simplify 1 into 1
9.438 * [backup-simplify]: Simplify (/ 1 1) into 1
9.438 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
9.438 * [taylor]: Taking taylor expansion of beta in i
9.438 * [backup-simplify]: Simplify beta into beta
9.438 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.438 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
9.438 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
9.438 * [taylor]: Taking taylor expansion of alpha in i
9.438 * [backup-simplify]: Simplify alpha into alpha
9.439 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
9.439 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
9.439 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
9.439 * [taylor]: Taking taylor expansion of 2.0 in i
9.439 * [backup-simplify]: Simplify 2.0 into 2.0
9.439 * [taylor]: Taking taylor expansion of (/ 1 i) in i
9.439 * [taylor]: Taking taylor expansion of i in i
9.439 * [backup-simplify]: Simplify 0 into 0
9.439 * [backup-simplify]: Simplify 1 into 1
9.439 * [backup-simplify]: Simplify (/ 1 1) into 1
9.439 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
9.439 * [taylor]: Taking taylor expansion of beta in i
9.439 * [backup-simplify]: Simplify beta into beta
9.439 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.439 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
9.440 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
9.440 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
9.440 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
9.440 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
9.441 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
9.441 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
9.442 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
9.442 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
9.443 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
9.443 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
9.444 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
9.444 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
9.445 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) -4.0) into (* -0.25 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
9.445 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
9.445 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
9.445 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
9.445 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
9.445 * [taylor]: Taking taylor expansion of alpha in beta
9.445 * [backup-simplify]: Simplify alpha into alpha
9.445 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
9.445 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
9.445 * [taylor]: Taking taylor expansion of beta in beta
9.445 * [backup-simplify]: Simplify 0 into 0
9.445 * [backup-simplify]: Simplify 1 into 1
9.445 * [backup-simplify]: Simplify (/ 1 1) into 1
9.446 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
9.446 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
9.446 * [taylor]: Taking taylor expansion of alpha in beta
9.446 * [backup-simplify]: Simplify alpha into alpha
9.446 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
9.446 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
9.446 * [taylor]: Taking taylor expansion of beta in beta
9.446 * [backup-simplify]: Simplify 0 into 0
9.446 * [backup-simplify]: Simplify 1 into 1
9.446 * [backup-simplify]: Simplify (/ 1 1) into 1
9.446 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
9.446 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
9.446 * [taylor]: Taking taylor expansion of 2.0 in beta
9.446 * [backup-simplify]: Simplify 2.0 into 2.0
9.446 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
9.446 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
9.446 * [taylor]: Taking taylor expansion of alpha in beta
9.446 * [backup-simplify]: Simplify alpha into alpha
9.446 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
9.447 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
9.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
9.447 * [taylor]: Taking taylor expansion of 2.0 in beta
9.447 * [backup-simplify]: Simplify 2.0 into 2.0
9.447 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
9.447 * [taylor]: Taking taylor expansion of i in beta
9.447 * [backup-simplify]: Simplify i into i
9.447 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.447 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
9.447 * [taylor]: Taking taylor expansion of beta in beta
9.447 * [backup-simplify]: Simplify 0 into 0
9.447 * [backup-simplify]: Simplify 1 into 1
9.447 * [backup-simplify]: Simplify (/ 1 1) into 1
9.447 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
9.447 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
9.447 * [taylor]: Taking taylor expansion of alpha in beta
9.447 * [backup-simplify]: Simplify alpha into alpha
9.447 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
9.447 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
9.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
9.447 * [taylor]: Taking taylor expansion of 2.0 in beta
9.448 * [backup-simplify]: Simplify 2.0 into 2.0
9.448 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
9.448 * [taylor]: Taking taylor expansion of i in beta
9.448 * [backup-simplify]: Simplify i into i
9.448 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.448 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
9.448 * [taylor]: Taking taylor expansion of beta in beta
9.448 * [backup-simplify]: Simplify 0 into 0
9.448 * [backup-simplify]: Simplify 1 into 1
9.448 * [backup-simplify]: Simplify (/ 1 1) into 1
9.448 * [backup-simplify]: Simplify (- 1) into -1
9.449 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.449 * [backup-simplify]: Simplify (+ 0 1) into 1
9.450 * [backup-simplify]: Simplify (* -1 1) into -1
9.450 * [backup-simplify]: Simplify (+ 0 1) into 1
9.451 * [backup-simplify]: Simplify (+ 0 1) into 1
9.451 * [backup-simplify]: Simplify (- 1) into -1
9.451 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.452 * [backup-simplify]: Simplify (+ 0 1) into 1
9.452 * [backup-simplify]: Simplify (+ 0 1) into 1
9.452 * [backup-simplify]: Simplify (* -1 1) into -1
9.453 * [backup-simplify]: Simplify (/ -1 -1) into 1
9.453 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
9.453 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
9.453 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
9.453 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.453 * [taylor]: Taking taylor expansion of alpha in alpha
9.453 * [backup-simplify]: Simplify 0 into 0
9.453 * [backup-simplify]: Simplify 1 into 1
9.453 * [backup-simplify]: Simplify (/ 1 1) into 1
9.453 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.453 * [taylor]: Taking taylor expansion of beta in alpha
9.453 * [backup-simplify]: Simplify beta into beta
9.454 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.454 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
9.454 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.454 * [taylor]: Taking taylor expansion of alpha in alpha
9.454 * [backup-simplify]: Simplify 0 into 0
9.454 * [backup-simplify]: Simplify 1 into 1
9.454 * [backup-simplify]: Simplify (/ 1 1) into 1
9.454 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.454 * [taylor]: Taking taylor expansion of beta in alpha
9.454 * [backup-simplify]: Simplify beta into beta
9.454 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.454 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
9.454 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
9.454 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.454 * [backup-simplify]: Simplify 2.0 into 2.0
9.454 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
9.454 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.454 * [taylor]: Taking taylor expansion of alpha in alpha
9.454 * [backup-simplify]: Simplify 0 into 0
9.454 * [backup-simplify]: Simplify 1 into 1
9.455 * [backup-simplify]: Simplify (/ 1 1) into 1
9.455 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
9.455 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
9.455 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.455 * [backup-simplify]: Simplify 2.0 into 2.0
9.455 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
9.455 * [taylor]: Taking taylor expansion of i in alpha
9.455 * [backup-simplify]: Simplify i into i
9.455 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.455 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.455 * [taylor]: Taking taylor expansion of beta in alpha
9.455 * [backup-simplify]: Simplify beta into beta
9.455 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.455 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
9.455 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.455 * [taylor]: Taking taylor expansion of alpha in alpha
9.455 * [backup-simplify]: Simplify 0 into 0
9.455 * [backup-simplify]: Simplify 1 into 1
9.456 * [backup-simplify]: Simplify (/ 1 1) into 1
9.456 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
9.456 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
9.456 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.456 * [backup-simplify]: Simplify 2.0 into 2.0
9.456 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
9.456 * [taylor]: Taking taylor expansion of i in alpha
9.456 * [backup-simplify]: Simplify i into i
9.456 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.456 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.456 * [taylor]: Taking taylor expansion of beta in alpha
9.456 * [backup-simplify]: Simplify beta into beta
9.456 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.457 * [backup-simplify]: Simplify (+ 1 0) into 1
9.457 * [backup-simplify]: Simplify (+ 1 0) into 1
9.457 * [backup-simplify]: Simplify (* 1 1) into 1
9.458 * [backup-simplify]: Simplify (+ 1 0) into 1
9.458 * [backup-simplify]: Simplify (- 1) into -1
9.459 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.459 * [backup-simplify]: Simplify (+ 1 0) into 1
9.459 * [backup-simplify]: Simplify (* -1 1) into -1
9.460 * [backup-simplify]: Simplify (/ 1 -1) into -1
9.460 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
9.460 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
9.460 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
9.460 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.460 * [taylor]: Taking taylor expansion of alpha in alpha
9.460 * [backup-simplify]: Simplify 0 into 0
9.460 * [backup-simplify]: Simplify 1 into 1
9.460 * [backup-simplify]: Simplify (/ 1 1) into 1
9.460 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.460 * [taylor]: Taking taylor expansion of beta in alpha
9.460 * [backup-simplify]: Simplify beta into beta
9.460 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.461 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
9.461 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.461 * [taylor]: Taking taylor expansion of alpha in alpha
9.461 * [backup-simplify]: Simplify 0 into 0
9.461 * [backup-simplify]: Simplify 1 into 1
9.461 * [backup-simplify]: Simplify (/ 1 1) into 1
9.461 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.461 * [taylor]: Taking taylor expansion of beta in alpha
9.461 * [backup-simplify]: Simplify beta into beta
9.461 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.461 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
9.461 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
9.461 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.461 * [backup-simplify]: Simplify 2.0 into 2.0
9.461 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
9.461 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.461 * [taylor]: Taking taylor expansion of alpha in alpha
9.461 * [backup-simplify]: Simplify 0 into 0
9.461 * [backup-simplify]: Simplify 1 into 1
9.462 * [backup-simplify]: Simplify (/ 1 1) into 1
9.462 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
9.462 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
9.462 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.462 * [backup-simplify]: Simplify 2.0 into 2.0
9.462 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
9.462 * [taylor]: Taking taylor expansion of i in alpha
9.462 * [backup-simplify]: Simplify i into i
9.462 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.462 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.462 * [taylor]: Taking taylor expansion of beta in alpha
9.462 * [backup-simplify]: Simplify beta into beta
9.462 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.462 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
9.462 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
9.462 * [taylor]: Taking taylor expansion of alpha in alpha
9.462 * [backup-simplify]: Simplify 0 into 0
9.462 * [backup-simplify]: Simplify 1 into 1
9.463 * [backup-simplify]: Simplify (/ 1 1) into 1
9.463 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
9.463 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
9.463 * [taylor]: Taking taylor expansion of 2.0 in alpha
9.463 * [backup-simplify]: Simplify 2.0 into 2.0
9.463 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
9.463 * [taylor]: Taking taylor expansion of i in alpha
9.463 * [backup-simplify]: Simplify i into i
9.463 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.463 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
9.463 * [taylor]: Taking taylor expansion of beta in alpha
9.463 * [backup-simplify]: Simplify beta into beta
9.463 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
9.464 * [backup-simplify]: Simplify (+ 1 0) into 1
9.464 * [backup-simplify]: Simplify (+ 1 0) into 1
9.464 * [backup-simplify]: Simplify (* 1 1) into 1
9.465 * [backup-simplify]: Simplify (+ 1 0) into 1
9.465 * [backup-simplify]: Simplify (- 1) into -1
9.465 * [backup-simplify]: Simplify (+ 0 -1) into -1
9.466 * [backup-simplify]: Simplify (+ 1 0) into 1
9.466 * [backup-simplify]: Simplify (* -1 1) into -1
9.467 * [backup-simplify]: Simplify (/ 1 -1) into -1
9.467 * [taylor]: Taking taylor expansion of -1 in beta
9.467 * [backup-simplify]: Simplify -1 into -1
9.467 * [taylor]: Taking taylor expansion of -1 in i
9.467 * [backup-simplify]: Simplify -1 into -1
9.467 * [backup-simplify]: Simplify 0 into 0
9.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.468 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
9.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.469 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
9.469 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
9.469 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
9.470 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.470 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
9.470 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
9.470 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
9.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.471 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
9.471 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
9.471 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
9.472 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
9.472 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
9.472 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
9.473 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
9.473 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
9.473 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
9.473 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
9.473 * [taylor]: Taking taylor expansion of 4.0 in beta
9.473 * [backup-simplify]: Simplify 4.0 into 4.0
9.473 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
9.473 * [taylor]: Taking taylor expansion of i in beta
9.473 * [backup-simplify]: Simplify i into i
9.473 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.474 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
9.474 * [taylor]: Taking taylor expansion of 2 in beta
9.474 * [backup-simplify]: Simplify 2 into 2
9.474 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
9.474 * [taylor]: Taking taylor expansion of beta in beta
9.474 * [backup-simplify]: Simplify 0 into 0
9.474 * [backup-simplify]: Simplify 1 into 1
9.474 * [backup-simplify]: Simplify (/ 1 1) into 1
9.474 * [taylor]: Taking taylor expansion of 2.0 in beta
9.474 * [backup-simplify]: Simplify 2.0 into 2.0
9.474 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
9.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.476 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
9.476 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
9.476 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
9.477 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
9.477 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
9.477 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
9.477 * [taylor]: Taking taylor expansion of 4.0 in i
9.477 * [backup-simplify]: Simplify 4.0 into 4.0
9.477 * [taylor]: Taking taylor expansion of (/ 1 i) in i
9.477 * [taylor]: Taking taylor expansion of i in i
9.477 * [backup-simplify]: Simplify 0 into 0
9.477 * [backup-simplify]: Simplify 1 into 1
9.477 * [backup-simplify]: Simplify (/ 1 1) into 1
9.478 * [taylor]: Taking taylor expansion of 2.0 in i
9.478 * [backup-simplify]: Simplify 2.0 into 2.0
9.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.481 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.482 * [backup-simplify]: Simplify (- 0) into 0
9.482 * [backup-simplify]: Simplify (+ 0 0) into 0
9.482 * [backup-simplify]: Simplify 0 into 0
9.482 * [taylor]: Taking taylor expansion of 0 in i
9.482 * [backup-simplify]: Simplify 0 into 0
9.482 * [backup-simplify]: Simplify 0 into 0
9.482 * [backup-simplify]: Simplify 0 into 0
9.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.483 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
9.484 * [backup-simplify]: Simplify (+ 0 0) into 0
9.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
9.485 * [backup-simplify]: Simplify (- 0) into 0
9.485 * [backup-simplify]: Simplify (+ 0 0) into 0
9.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
9.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.488 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
9.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
9.489 * [backup-simplify]: Simplify (+ 0 0) into 0
9.489 * [backup-simplify]: Simplify (+ 0 0) into 0
9.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.491 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
9.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
9.491 * [backup-simplify]: Simplify (+ 0 0) into 0
9.491 * [backup-simplify]: Simplify (+ 0 0) into 0
9.492 * [backup-simplify]: Simplify (- 0) into 0
9.492 * [backup-simplify]: Simplify (+ 0 0) into 0
9.494 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
9.496 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow beta 2))) -1) (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))
9.496 * [taylor]: Taking taylor expansion of (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
9.496 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) in beta
9.496 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
9.496 * [taylor]: Taking taylor expansion of 6.0 in beta
9.496 * [backup-simplify]: Simplify 6.0 into 6.0
9.496 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
9.496 * [taylor]: Taking taylor expansion of beta in beta
9.496 * [backup-simplify]: Simplify 0 into 0
9.496 * [backup-simplify]: Simplify 1 into 1
9.497 * [backup-simplify]: Simplify (/ 1 1) into 1
9.497 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
9.497 * [taylor]: Taking taylor expansion of 12.0 in beta
9.497 * [backup-simplify]: Simplify 12.0 into 12.0
9.497 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
9.497 * [taylor]: Taking taylor expansion of i in beta
9.497 * [backup-simplify]: Simplify i into i
9.497 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.497 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
9.497 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
9.497 * [taylor]: Taking taylor expansion of 2 in beta
9.497 * [backup-simplify]: Simplify 2 into 2
9.497 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
9.497 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
9.497 * [taylor]: Taking taylor expansion of beta in beta
9.497 * [backup-simplify]: Simplify 0 into 0
9.497 * [backup-simplify]: Simplify 1 into 1
9.498 * [backup-simplify]: Simplify (* 1 1) into 1
9.498 * [backup-simplify]: Simplify (/ 1 1) into 1
9.498 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
9.498 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
9.498 * [taylor]: Taking taylor expansion of 12.0 in beta
9.498 * [backup-simplify]: Simplify 12.0 into 12.0
9.498 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
9.498 * [taylor]: Taking taylor expansion of (pow i 2) in beta
9.498 * [taylor]: Taking taylor expansion of i in beta
9.498 * [backup-simplify]: Simplify i into i
9.498 * [backup-simplify]: Simplify (* i i) into (pow i 2)
9.499 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
9.499 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
9.499 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
9.499 * [taylor]: Taking taylor expansion of 12.0 in beta
9.499 * [backup-simplify]: Simplify 12.0 into 12.0
9.499 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
9.499 * [taylor]: Taking taylor expansion of (* i beta) in beta
9.499 * [taylor]: Taking taylor expansion of i in beta
9.499 * [backup-simplify]: Simplify i into i
9.499 * [taylor]: Taking taylor expansion of beta in beta
9.499 * [backup-simplify]: Simplify 0 into 0
9.499 * [backup-simplify]: Simplify 1 into 1
9.499 * [backup-simplify]: Simplify (* i 0) into 0
9.499 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
9.499 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
9.500 * [taylor]: Taking taylor expansion of 4.0 in beta
9.500 * [backup-simplify]: Simplify 4.0 into 4.0
9.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.501 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
9.501 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
9.501 * [backup-simplify]: Simplify (+ 0 (/ 12.0 i)) into (* 12.0 (/ 1 i))
9.502 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.503 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.505 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.506 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
9.506 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
9.507 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.507 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
9.507 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
9.508 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
9.508 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
9.508 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
9.509 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
9.509 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
9.509 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
9.509 * [taylor]: Taking taylor expansion of 12.0 in i
9.509 * [backup-simplify]: Simplify 12.0 into 12.0
9.509 * [taylor]: Taking taylor expansion of (/ 1 i) in i
9.509 * [taylor]: Taking taylor expansion of i in i
9.509 * [backup-simplify]: Simplify 0 into 0
9.509 * [backup-simplify]: Simplify 1 into 1
9.509 * [backup-simplify]: Simplify (/ 1 1) into 1
9.509 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
9.509 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
9.509 * [taylor]: Taking taylor expansion of 12.0 in i
9.509 * [backup-simplify]: Simplify 12.0 into 12.0
9.509 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
9.510 * [taylor]: Taking taylor expansion of (pow i 2) in i
9.510 * [taylor]: Taking taylor expansion of i in i
9.510 * [backup-simplify]: Simplify 0 into 0
9.510 * [backup-simplify]: Simplify 1 into 1
9.528 * [backup-simplify]: Simplify (* 1 1) into 1
9.529 * [backup-simplify]: Simplify (/ 1 1) into 1
9.529 * [taylor]: Taking taylor expansion of 4.0 in i
9.529 * [backup-simplify]: Simplify 4.0 into 4.0
9.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.533 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.537 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.543 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.543 * [backup-simplify]: Simplify (+ 0 0) into 0
9.544 * [backup-simplify]: Simplify (- 0) into 0
9.544 * [backup-simplify]: Simplify (+ 0 0) into 0
9.544 * [backup-simplify]: Simplify 0 into 0
9.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
9.545 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
9.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.547 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
9.548 * [backup-simplify]: Simplify (+ 0 0) into 0
9.548 * [backup-simplify]: Simplify (- 0) into 0
9.549 * [backup-simplify]: Simplify (+ 0 0) into 0
9.549 * [taylor]: Taking taylor expansion of 0 in i
9.549 * [backup-simplify]: Simplify 0 into 0
9.549 * [backup-simplify]: Simplify 0 into 0
9.549 * [backup-simplify]: Simplify 0 into 0
9.549 * * * [progress]: simplifying candidates
9.554 * [simplify]: Simplifying:
  (- (+ (log (+ alpha beta)) (log (- beta alpha))) (log (+ (+ alpha beta) (* 2.0 i))))
  (- (log (* (+ alpha beta) (- beta alpha))) (log (+ (+ alpha beta) (* 2.0 i))))
  (log (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (exp (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* (- beta alpha) (- beta alpha)) (- beta alpha))) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (* (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- beta alpha))) (* (+ alpha beta) (- beta alpha))) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i))))
  (* (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))))
  (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (* (* (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (- (* (+ alpha beta) (- beta alpha)))
  (- (+ (+ alpha beta) (* 2.0 i)))
  (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ alpha beta) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ alpha beta) 1)
  (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))
  (/ 1 (+ (+ alpha beta) (* 2.0 i)))
  (/ (+ (+ alpha beta) (* 2.0 i)) (* (+ alpha beta) (- beta alpha)))
  (/ (* (+ alpha beta) (- beta alpha)) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (* (+ alpha beta) (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (+ alpha beta) (- beta alpha)) 1)
  (/ (+ (+ alpha beta) (* 2.0 i)) (- beta alpha))
  (/ (* (+ alpha beta) (- beta alpha)) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3)))
  (/ (* (+ alpha beta) (- beta alpha)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i))))
  (* (+ (+ alpha beta) (* 2.0 i)) (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ (* beta beta) (+ (* alpha alpha) (* beta alpha)))))
  (* (+ (+ alpha beta) (* 2.0 i)) (* (+ (* alpha alpha) (- (* beta beta) (* alpha beta))) (+ beta alpha)))
  (* (+ (+ alpha beta) (* 2.0 i)) (* (- alpha beta) (+ (* beta beta) (+ (* alpha alpha) (* beta alpha)))))
  (* (+ (+ alpha beta) (* 2.0 i)) (* (- alpha beta) (+ beta alpha)))
  (* (+ (+ alpha beta) (* 2.0 i)) (+ (* beta beta) (+ (* alpha alpha) (* beta alpha))))
  (* (+ (+ alpha beta) (* 2.0 i)) (+ beta alpha))
  (* (+ (+ alpha beta) (* 2.0 i)) (+ (* alpha alpha) (- (* beta beta) (* alpha beta))))
  (* (+ (+ alpha beta) (* 2.0 i)) (- alpha beta))
  (* (exp (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (exp 1.0))
  (log (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (exp (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (* (cbrt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)) (cbrt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)))
  (cbrt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (* (* (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)) (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (sqrt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (sqrt (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0))
  (+ (pow (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 3) (pow 1.0 3))
  (+ (* (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (- (* 1.0 1.0) (* (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)))
  (- (* (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* 1.0 1.0))
  (- (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)
  (+ (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) 1.0)
  (- (- (+ (log (+ alpha beta)) (log (- beta alpha))) (log (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (- (- (log (* (+ alpha beta) (- beta alpha))) (log (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (- (log (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (log (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (log (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (exp (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* (- beta alpha) (- beta alpha)) (- beta alpha))) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (* (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (- beta alpha))) (* (+ alpha beta) (- beta alpha))) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (* (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (* (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (cbrt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (cbrt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (* (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (sqrt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (sqrt (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (- (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (- (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (* (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (* (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) 1)
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) (sqrt (+ (+ alpha beta) (* 2.0 i)))) 1)
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) 1) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (+ alpha beta) 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (+ alpha beta) 1) 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 1)
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 1)
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (* (+ alpha beta) (- beta alpha)) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (+ alpha beta) (- beta alpha)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (+ alpha beta) (- beta alpha)) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (* (+ alpha beta) (- beta alpha)) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- (+ alpha beta) (* 2.0 i)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ 1 (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (cbrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (sqrt (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ 1 (+ (+ alpha beta) (* 2.0 i))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))))
  (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (- (+ alpha beta) (* 2.0 i)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (+ (pow (+ (+ alpha beta) (* 2.0 i)) 3) (pow 2.0 3)))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (* 2.0 2.0)))
  (* (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (+ (+ alpha beta) (* 2.0 i)))
  0
  0
  0
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
  0
  0
9.563 * * [simplify]: iteration 0: 225 enodes
9.700 * * [simplify]: iteration 1: 690 enodes
10.937 * * [simplify]: iteration 2: 3093 enodes
13.123 * * [simplify]: iteration complete: 5002 enodes
13.163 * * [simplify]: Extracting #0: cost 112 inf + 0
13.177 * * [simplify]: Extracting #1: cost 1071 inf + 2
13.189 * * [simplify]: Extracting #2: cost 1956 inf + 470
13.253 * * [simplify]: Extracting #3: cost 1806 inf + 52384
13.382 * * [simplify]: Extracting #4: cost 640 inf + 395321
13.909 * * [simplify]: Extracting #5: cost 67 inf + 599381
14.164 * * [simplify]: Extracting #6: cost 3 inf + 623670
14.412 * * [simplify]: Extracting #7: cost 0 inf + 624763
14.668 * [simplify]: Simplified to:
  (log (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (log (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (log (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (exp (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (* (* (/ (* (+ alpha beta) (- beta alpha)) (+ (* i 2.0) (+ alpha beta))) (/ (* (+ alpha beta) (- beta alpha)) (+ (* i 2.0) (+ alpha beta)))) (/ (* (+ alpha beta) (- beta alpha)) (+ (* i 2.0) (+ alpha beta))))
  (* (* (/ (* (+ alpha beta) (- beta alpha)) (+ (* i 2.0) (+ alpha beta))) (/ (* (+ alpha beta) (- beta alpha)) (+ (* i 2.0) (+ alpha beta)))) (/ (* (+ alpha beta) (- beta alpha)) (+ (* i 2.0) (+ alpha beta))))
  (* (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))))
  (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (* (* (/ (* (+ alpha beta) (- beta alpha)) (+ (* i 2.0) (+ alpha beta))) (/ (* (+ alpha beta) (- beta alpha)) (+ (* i 2.0) (+ alpha beta)))) (/ (* (+ alpha beta) (- beta alpha)) (+ (* i 2.0) (+ alpha beta))))
  (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (* (- (- beta alpha)) (+ alpha beta))
  (- (+ (* i 2.0) (+ alpha beta)))
  (/ (+ alpha beta) (* (cbrt (+ (* i 2.0) (+ alpha beta))) (cbrt (+ (* i 2.0) (+ alpha beta)))))
  (/ (- beta alpha) (cbrt (+ (* i 2.0) (+ alpha beta))))
  (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ alpha beta))))
  (/ (- beta alpha) (sqrt (+ (* i 2.0) (+ alpha beta))))
  (+ alpha beta)
  (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))
  (/ 1 (+ (* i 2.0) (+ alpha beta)))
  (/ (/ (+ (* i 2.0) (+ alpha beta)) (+ alpha beta)) (- beta alpha))
  (* (/ (- beta alpha) (* (cbrt (+ (* i 2.0) (+ alpha beta))) (cbrt (+ (* i 2.0) (+ alpha beta))))) (+ alpha beta))
  (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ alpha beta)))) (- beta alpha))
  (* (+ alpha beta) (- beta alpha))
  (/ (+ (* i 2.0) (+ alpha beta)) (- beta alpha))
  (/ (* (+ alpha beta) (- beta alpha)) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* i 2.0) (* (* i 2.0) (* i 2.0)))))
  (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (/ (- beta alpha) (- (+ alpha beta) (* i 2.0))))
  (* (+ (* beta beta) (* (+ alpha beta) alpha)) (* (+ (* i 2.0) (+ alpha beta)) (+ (* (- beta alpha) beta) (* alpha alpha))))
  (* (+ (* (- beta alpha) beta) (* alpha alpha)) (* (+ alpha beta) (+ (* i 2.0) (+ alpha beta))))
  (* (+ (* beta beta) (* (+ alpha beta) alpha)) (* (+ (* i 2.0) (+ alpha beta)) (- alpha beta)))
  (* (+ (* i 2.0) (+ alpha beta)) (* (- alpha beta) (+ alpha beta)))
  (* (+ (* beta beta) (* (+ alpha beta) alpha)) (+ (* i 2.0) (+ alpha beta)))
  (* (+ alpha beta) (+ (* i 2.0) (+ alpha beta)))
  (* (+ (* i 2.0) (+ alpha beta)) (+ (* (- beta alpha) beta) (* alpha alpha)))
  (* (+ (* i 2.0) (+ alpha beta)) (- alpha beta))
  (exp (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0))
  (log (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0))
  (exp (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0))
  (* (cbrt (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0)))
  (cbrt (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0))
  (* (* (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0) (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0)) (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0))
  (+ (* (* 1.0 1.0) 1.0) (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))))
  (+ (* 1.0 (- 1.0 (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))))
  (* (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0) (- (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0))
  (- (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0)
  (+ (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) 1.0)
  (log (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (log (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (log (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (log (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (exp (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (* (cbrt (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (cbrt (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))))
  (cbrt (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (sqrt (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (sqrt (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))
  (* (+ alpha beta) (/ (- (- beta alpha)) (+ (* i 2.0) (+ alpha beta))))
  (- (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (* (/ (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (/ (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))))
  (/ (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (* (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (* (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))))
  (/ (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (* (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))))
  (/ (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (/ (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (* (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))))
  (/ (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (/ (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (/ (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (/ (+ alpha beta) (* (* (cbrt (+ (* i 2.0) (+ alpha beta))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (* (cbrt (+ (* i 2.0) (+ alpha beta))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))))
  (/ (/ (- beta alpha) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (cbrt (+ (* i 2.0) (+ alpha beta))))
  (/ (/ (+ alpha beta) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (* (cbrt (+ (* i 2.0) (+ alpha beta))) (cbrt (+ (* i 2.0) (+ alpha beta)))))
  (/ (/ (- beta alpha) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (cbrt (+ (* i 2.0) (+ alpha beta))))
  (/ (+ alpha beta) (* (cbrt (+ (* i 2.0) (+ alpha beta))) (cbrt (+ (* i 2.0) (+ alpha beta)))))
  (/ (/ (- beta alpha) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (cbrt (+ (* i 2.0) (+ alpha beta))))
  (/ (+ alpha beta) (* (cbrt (+ (* i 2.0) (+ alpha beta))) (cbrt (+ (* i 2.0) (+ alpha beta)))))
  (/ (/ (- beta alpha) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (cbrt (+ (* i 2.0) (+ alpha beta))))
  (/ (/ (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ alpha beta)))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (/ (- beta alpha) (sqrt (+ (* i 2.0) (+ alpha beta)))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (+ alpha beta) (* (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (sqrt (+ (* i 2.0) (+ alpha beta)))))
  (/ (/ (- beta alpha) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (sqrt (+ (* i 2.0) (+ alpha beta))))
  (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ alpha beta))))
  (/ (- beta alpha) (* (sqrt (+ (* i 2.0) (+ alpha beta))) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ alpha beta))))
  (/ (- beta alpha) (* (sqrt (+ (* i 2.0) (+ alpha beta))) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (/ (+ alpha beta) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (+ alpha beta) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (/ (- beta alpha) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (+ (* i 2.0) (+ alpha beta)))
  (+ alpha beta)
  (/ (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (+ alpha beta)
  (/ (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (/ (/ 1 (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (/ (- beta alpha) (/ (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (+ alpha beta))) (+ (* i 2.0) (+ alpha beta)))
  (/ 1 (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (* (/ (- beta alpha) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))))
  1
  (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))
  1
  (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))
  (* (/ (+ alpha beta) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (/ (- beta alpha) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))))
  (/ (/ 1 (+ (* i 2.0) (+ alpha beta))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (* (+ alpha beta) (- beta alpha)) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (/ 1 (+ (* i 2.0) (+ alpha beta))) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (* (+ alpha beta) (- beta alpha))
  (/ 1 (* (+ (* i 2.0) (+ alpha beta)) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (* (+ alpha beta) (- beta alpha))
  (/ 1 (* (+ (* i 2.0) (+ alpha beta)) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (* (/ (+ alpha beta) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (/ (- beta alpha) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* i 2.0) (* (* i 2.0) (* i 2.0)))))
  (/ (+ (* (* i 2.0) (- (* i 2.0) (+ alpha beta))) (* (+ alpha beta) (+ alpha beta))) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (* (/ (+ alpha beta) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (/ (- beta alpha) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* i 2.0) (* (* i 2.0) (* i 2.0))))))
  (/ (+ (* (* i 2.0) (- (* i 2.0) (+ alpha beta))) (* (+ alpha beta) (+ alpha beta))) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (/ (* (+ alpha beta) (- beta alpha)) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* i 2.0) (* (* i 2.0) (* i 2.0)))))
  (/ (+ (* (* i 2.0) (- (* i 2.0) (+ alpha beta))) (* (+ alpha beta) (+ alpha beta))) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (/ (* (+ alpha beta) (- beta alpha)) (+ (* (* (+ alpha beta) (+ alpha beta)) (+ alpha beta)) (* (* i 2.0) (* (* i 2.0) (* i 2.0)))))
  (/ (+ (* (* i 2.0) (- (* i 2.0) (+ alpha beta))) (* (+ alpha beta) (+ alpha beta))) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (/ (* (+ alpha beta) (- beta alpha)) (* (* (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (* (+ (* i 2.0) (+ alpha beta)) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))) (- (+ alpha beta) (* i 2.0))))
  (/ (- (+ alpha beta) (* i 2.0)) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (* (/ (- beta alpha) (* (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (+ (* i 2.0) (+ alpha beta)))) (/ (+ alpha beta) (- (+ alpha beta) (* i 2.0))))
  (/ (- (+ alpha beta) (* i 2.0)) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))
  (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (/ (- beta alpha) (- (+ alpha beta) (* i 2.0))))
  (/ (- (+ alpha beta) (* i 2.0)) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (/ (- beta alpha) (- (+ alpha beta) (* i 2.0))))
  (/ (- (+ alpha beta) (* i 2.0)) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (/ 1 (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (* (/ (+ (* i 2.0) (+ alpha beta)) (- beta alpha)) (/ (+ 2.0 (+ (* i 2.0) (+ alpha beta))) (+ alpha beta)))
  (/ (* (+ alpha beta) (- beta alpha)) (* (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (* (+ (* i 2.0) (+ alpha beta)) (cbrt (+ 2.0 (+ (* i 2.0) (+ alpha beta)))))))
  (* (/ (- beta alpha) (sqrt (+ 2.0 (+ (* i 2.0) (+ alpha beta))))) (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))))
  (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))
  (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))
  (/ (+ 2.0 (+ (* i 2.0) (+ alpha beta))) (cbrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))))
  (/ (+ 2.0 (+ (* i 2.0) (+ alpha beta))) (sqrt (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha))))
  (* (cbrt (+ (* i 2.0) (+ alpha beta))) (/ (+ 2.0 (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (* (sqrt (+ (* i 2.0) (+ alpha beta))) (/ (+ 2.0 (+ (* i 2.0) (+ alpha beta))) (- beta alpha)))
  (/ (+ 2.0 (+ (* i 2.0) (+ alpha beta))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))
  (* (/ (+ (* i 2.0) (+ alpha beta)) (- beta alpha)) (/ (+ 2.0 (+ (* i 2.0) (+ alpha beta))) (+ alpha beta)))
  (* (+ (* i 2.0) (+ alpha beta)) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  (/ (+ 2.0 (+ (* i 2.0) (+ alpha beta))) (+ (* (* i 2.0) (- (* i 2.0) (+ alpha beta))) (* (+ alpha beta) (+ alpha beta))))
  (/ (+ 2.0 (+ (* i 2.0) (+ alpha beta))) (- (+ alpha beta) (* i 2.0)))
  (/ (* (+ alpha beta) (- beta alpha)) (* (+ (* i 2.0) (+ alpha beta)) (+ (* 2.0 (* 2.0 2.0)) (* (+ (* i 2.0) (+ alpha beta)) (* (+ (* i 2.0) (+ alpha beta)) (+ (* i 2.0) (+ alpha beta)))))))
  (/ (* (/ (+ alpha beta) (+ (* i 2.0) (+ alpha beta))) (- beta alpha)) (- (* (+ (* i 2.0) (+ alpha beta)) (+ (* i 2.0) (+ alpha beta))) (* 2.0 2.0)))
  (* (+ (* i 2.0) (+ alpha beta)) (+ 2.0 (+ (* i 2.0) (+ alpha beta))))
  0
  0
  0
  (+ (* 0.25 (- (* alpha alpha) (* beta beta))) 1.0)
  (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha))))
  (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha))))
  (- (* 0.25 (- (* alpha alpha) (* beta beta))) (* (* 0.125 (* alpha alpha)) alpha))
  0
  0
14.697 * * * [progress]: adding candidates to table
16.245 * * [progress]: iteration 2 / 4
16.245 * * * [progress]: picking best candidate
16.342 * * * * [pick]: Picked  #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) 2.0))>
16.342 * * * [progress]: localizing error
16.415 * * * [progress]: generating rewritten candidates
16.415 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1)
17.074 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2)
17.511 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
17.965 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1)
21.803 * * * [progress]: generating series expansions
21.803 * * * * [progress]: [ 1 / 4 ] generating series at (2 1)
21.805 * [backup-simplify]: Simplify (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
21.805 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
21.805 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
21.805 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
21.805 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
21.805 * [taylor]: Taking taylor expansion of (pow beta 2) in i
21.805 * [taylor]: Taking taylor expansion of beta in i
21.805 * [backup-simplify]: Simplify beta into beta
21.805 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
21.805 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
21.805 * [taylor]: Taking taylor expansion of alpha in i
21.805 * [backup-simplify]: Simplify alpha into alpha
21.805 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
21.805 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
21.805 * [taylor]: Taking taylor expansion of 2.0 in i
21.806 * [backup-simplify]: Simplify 2.0 into 2.0
21.806 * [taylor]: Taking taylor expansion of i in i
21.806 * [backup-simplify]: Simplify 0 into 0
21.806 * [backup-simplify]: Simplify 1 into 1
21.806 * [taylor]: Taking taylor expansion of beta in i
21.806 * [backup-simplify]: Simplify beta into beta
21.806 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
21.806 * [taylor]: Taking taylor expansion of alpha in i
21.806 * [backup-simplify]: Simplify alpha into alpha
21.806 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
21.806 * [taylor]: Taking taylor expansion of 2.0 in i
21.806 * [backup-simplify]: Simplify 2.0 into 2.0
21.806 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
21.806 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
21.806 * [taylor]: Taking taylor expansion of 2.0 in i
21.806 * [backup-simplify]: Simplify 2.0 into 2.0
21.806 * [taylor]: Taking taylor expansion of i in i
21.806 * [backup-simplify]: Simplify 0 into 0
21.806 * [backup-simplify]: Simplify 1 into 1
21.806 * [taylor]: Taking taylor expansion of beta in i
21.806 * [backup-simplify]: Simplify beta into beta
21.806 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
21.809 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.809 * [backup-simplify]: Simplify (+ 0 beta) into beta
21.809 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
21.810 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.810 * [backup-simplify]: Simplify (+ 0 beta) into beta
21.810 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
21.810 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
21.810 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
21.810 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
21.810 * [taylor]: Taking taylor expansion of 1.0 in i
21.810 * [backup-simplify]: Simplify 1.0 into 1.0
21.810 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
21.811 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
21.811 * [taylor]: Taking taylor expansion of alpha in i
21.811 * [backup-simplify]: Simplify alpha into alpha
21.811 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
21.811 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
21.811 * [taylor]: Taking taylor expansion of alpha in i
21.811 * [backup-simplify]: Simplify alpha into alpha
21.811 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
21.811 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
21.811 * [taylor]: Taking taylor expansion of 2.0 in i
21.811 * [backup-simplify]: Simplify 2.0 into 2.0
21.811 * [taylor]: Taking taylor expansion of i in i
21.811 * [backup-simplify]: Simplify 0 into 0
21.811 * [backup-simplify]: Simplify 1 into 1
21.811 * [taylor]: Taking taylor expansion of beta in i
21.811 * [backup-simplify]: Simplify beta into beta
21.811 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
21.811 * [taylor]: Taking taylor expansion of alpha in i
21.811 * [backup-simplify]: Simplify alpha into alpha
21.811 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
21.811 * [taylor]: Taking taylor expansion of 2.0 in i
21.811 * [backup-simplify]: Simplify 2.0 into 2.0
21.811 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
21.811 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
21.811 * [taylor]: Taking taylor expansion of 2.0 in i
21.811 * [backup-simplify]: Simplify 2.0 into 2.0
21.811 * [taylor]: Taking taylor expansion of i in i
21.812 * [backup-simplify]: Simplify 0 into 0
21.812 * [backup-simplify]: Simplify 1 into 1
21.812 * [taylor]: Taking taylor expansion of beta in i
21.812 * [backup-simplify]: Simplify beta into beta
21.812 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
21.812 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.812 * [backup-simplify]: Simplify (+ 0 beta) into beta
21.812 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
21.813 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.813 * [backup-simplify]: Simplify (+ 0 beta) into beta
21.813 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
21.813 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
21.813 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
21.814 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
21.814 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
21.814 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
21.814 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
21.814 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
21.814 * [taylor]: Taking taylor expansion of beta in beta
21.814 * [backup-simplify]: Simplify 0 into 0
21.814 * [backup-simplify]: Simplify 1 into 1
21.814 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
21.814 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
21.814 * [taylor]: Taking taylor expansion of alpha in beta
21.814 * [backup-simplify]: Simplify alpha into alpha
21.814 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.814 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.814 * [taylor]: Taking taylor expansion of 2.0 in beta
21.814 * [backup-simplify]: Simplify 2.0 into 2.0
21.814 * [taylor]: Taking taylor expansion of i in beta
21.814 * [backup-simplify]: Simplify i into i
21.814 * [taylor]: Taking taylor expansion of beta in beta
21.814 * [backup-simplify]: Simplify 0 into 0
21.814 * [backup-simplify]: Simplify 1 into 1
21.814 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
21.814 * [taylor]: Taking taylor expansion of alpha in beta
21.814 * [backup-simplify]: Simplify alpha into alpha
21.814 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
21.815 * [taylor]: Taking taylor expansion of 2.0 in beta
21.815 * [backup-simplify]: Simplify 2.0 into 2.0
21.815 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.815 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.815 * [taylor]: Taking taylor expansion of 2.0 in beta
21.815 * [backup-simplify]: Simplify 2.0 into 2.0
21.815 * [taylor]: Taking taylor expansion of i in beta
21.815 * [backup-simplify]: Simplify i into i
21.815 * [taylor]: Taking taylor expansion of beta in beta
21.815 * [backup-simplify]: Simplify 0 into 0
21.815 * [backup-simplify]: Simplify 1 into 1
21.816 * [backup-simplify]: Simplify (* 1 1) into 1
21.816 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.816 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.816 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
21.816 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.816 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.816 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
21.816 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
21.816 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
21.817 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
21.817 * [taylor]: Taking taylor expansion of 1.0 in beta
21.817 * [backup-simplify]: Simplify 1.0 into 1.0
21.817 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
21.817 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
21.817 * [taylor]: Taking taylor expansion of alpha in beta
21.817 * [backup-simplify]: Simplify alpha into alpha
21.817 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
21.817 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
21.817 * [taylor]: Taking taylor expansion of alpha in beta
21.817 * [backup-simplify]: Simplify alpha into alpha
21.817 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.817 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.817 * [taylor]: Taking taylor expansion of 2.0 in beta
21.817 * [backup-simplify]: Simplify 2.0 into 2.0
21.817 * [taylor]: Taking taylor expansion of i in beta
21.817 * [backup-simplify]: Simplify i into i
21.817 * [taylor]: Taking taylor expansion of beta in beta
21.817 * [backup-simplify]: Simplify 0 into 0
21.817 * [backup-simplify]: Simplify 1 into 1
21.817 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
21.817 * [taylor]: Taking taylor expansion of alpha in beta
21.817 * [backup-simplify]: Simplify alpha into alpha
21.817 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
21.818 * [taylor]: Taking taylor expansion of 2.0 in beta
21.818 * [backup-simplify]: Simplify 2.0 into 2.0
21.818 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.818 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.818 * [taylor]: Taking taylor expansion of 2.0 in beta
21.818 * [backup-simplify]: Simplify 2.0 into 2.0
21.818 * [taylor]: Taking taylor expansion of i in beta
21.818 * [backup-simplify]: Simplify i into i
21.818 * [taylor]: Taking taylor expansion of beta in beta
21.818 * [backup-simplify]: Simplify 0 into 0
21.818 * [backup-simplify]: Simplify 1 into 1
21.818 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
21.818 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.818 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.818 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
21.818 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.818 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.819 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
21.819 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
21.819 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
21.819 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
21.819 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
21.819 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
21.819 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
21.820 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
21.820 * [taylor]: Taking taylor expansion of beta in alpha
21.820 * [backup-simplify]: Simplify beta into beta
21.820 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
21.820 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
21.820 * [taylor]: Taking taylor expansion of alpha in alpha
21.820 * [backup-simplify]: Simplify 0 into 0
21.820 * [backup-simplify]: Simplify 1 into 1
21.820 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
21.820 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
21.820 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.820 * [backup-simplify]: Simplify 2.0 into 2.0
21.820 * [taylor]: Taking taylor expansion of i in alpha
21.820 * [backup-simplify]: Simplify i into i
21.820 * [taylor]: Taking taylor expansion of beta in alpha
21.820 * [backup-simplify]: Simplify beta into beta
21.820 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
21.820 * [taylor]: Taking taylor expansion of alpha in alpha
21.820 * [backup-simplify]: Simplify 0 into 0
21.820 * [backup-simplify]: Simplify 1 into 1
21.820 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
21.820 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.820 * [backup-simplify]: Simplify 2.0 into 2.0
21.820 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
21.820 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
21.820 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.820 * [backup-simplify]: Simplify 2.0 into 2.0
21.820 * [taylor]: Taking taylor expansion of i in alpha
21.820 * [backup-simplify]: Simplify i into i
21.820 * [taylor]: Taking taylor expansion of beta in alpha
21.820 * [backup-simplify]: Simplify beta into beta
21.821 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
21.821 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.821 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
21.821 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
21.821 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.821 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
21.821 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
21.821 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
21.821 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
21.822 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
21.822 * [taylor]: Taking taylor expansion of 1.0 in alpha
21.822 * [backup-simplify]: Simplify 1.0 into 1.0
21.822 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
21.822 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
21.822 * [taylor]: Taking taylor expansion of alpha in alpha
21.822 * [backup-simplify]: Simplify 0 into 0
21.822 * [backup-simplify]: Simplify 1 into 1
21.822 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
21.822 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
21.822 * [taylor]: Taking taylor expansion of alpha in alpha
21.822 * [backup-simplify]: Simplify 0 into 0
21.822 * [backup-simplify]: Simplify 1 into 1
21.822 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
21.822 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
21.822 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.822 * [backup-simplify]: Simplify 2.0 into 2.0
21.822 * [taylor]: Taking taylor expansion of i in alpha
21.822 * [backup-simplify]: Simplify i into i
21.822 * [taylor]: Taking taylor expansion of beta in alpha
21.823 * [backup-simplify]: Simplify beta into beta
21.823 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
21.823 * [taylor]: Taking taylor expansion of alpha in alpha
21.823 * [backup-simplify]: Simplify 0 into 0
21.823 * [backup-simplify]: Simplify 1 into 1
21.823 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
21.823 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.823 * [backup-simplify]: Simplify 2.0 into 2.0
21.823 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
21.823 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
21.823 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.823 * [backup-simplify]: Simplify 2.0 into 2.0
21.823 * [taylor]: Taking taylor expansion of i in alpha
21.823 * [backup-simplify]: Simplify i into i
21.823 * [taylor]: Taking taylor expansion of beta in alpha
21.823 * [backup-simplify]: Simplify beta into beta
21.824 * [backup-simplify]: Simplify (* 1 1) into 1
21.824 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.824 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
21.824 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
21.824 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.824 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
21.824 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
21.824 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
21.825 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
21.825 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
21.825 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
21.825 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
21.825 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
21.825 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
21.825 * [taylor]: Taking taylor expansion of beta in alpha
21.825 * [backup-simplify]: Simplify beta into beta
21.825 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
21.825 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
21.825 * [taylor]: Taking taylor expansion of alpha in alpha
21.825 * [backup-simplify]: Simplify 0 into 0
21.825 * [backup-simplify]: Simplify 1 into 1
21.825 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
21.825 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
21.825 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.825 * [backup-simplify]: Simplify 2.0 into 2.0
21.825 * [taylor]: Taking taylor expansion of i in alpha
21.825 * [backup-simplify]: Simplify i into i
21.825 * [taylor]: Taking taylor expansion of beta in alpha
21.825 * [backup-simplify]: Simplify beta into beta
21.825 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
21.825 * [taylor]: Taking taylor expansion of alpha in alpha
21.826 * [backup-simplify]: Simplify 0 into 0
21.826 * [backup-simplify]: Simplify 1 into 1
21.826 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
21.826 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.826 * [backup-simplify]: Simplify 2.0 into 2.0
21.826 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
21.826 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
21.826 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.826 * [backup-simplify]: Simplify 2.0 into 2.0
21.826 * [taylor]: Taking taylor expansion of i in alpha
21.826 * [backup-simplify]: Simplify i into i
21.826 * [taylor]: Taking taylor expansion of beta in alpha
21.826 * [backup-simplify]: Simplify beta into beta
21.826 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
21.826 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.826 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
21.826 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
21.826 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.826 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
21.826 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
21.827 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
21.827 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
21.827 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
21.827 * [taylor]: Taking taylor expansion of 1.0 in alpha
21.827 * [backup-simplify]: Simplify 1.0 into 1.0
21.827 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
21.827 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
21.827 * [taylor]: Taking taylor expansion of alpha in alpha
21.827 * [backup-simplify]: Simplify 0 into 0
21.827 * [backup-simplify]: Simplify 1 into 1
21.827 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
21.828 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
21.828 * [taylor]: Taking taylor expansion of alpha in alpha
21.828 * [backup-simplify]: Simplify 0 into 0
21.828 * [backup-simplify]: Simplify 1 into 1
21.828 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
21.828 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
21.828 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.828 * [backup-simplify]: Simplify 2.0 into 2.0
21.828 * [taylor]: Taking taylor expansion of i in alpha
21.828 * [backup-simplify]: Simplify i into i
21.828 * [taylor]: Taking taylor expansion of beta in alpha
21.828 * [backup-simplify]: Simplify beta into beta
21.828 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
21.828 * [taylor]: Taking taylor expansion of alpha in alpha
21.828 * [backup-simplify]: Simplify 0 into 0
21.828 * [backup-simplify]: Simplify 1 into 1
21.828 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
21.828 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.828 * [backup-simplify]: Simplify 2.0 into 2.0
21.828 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
21.828 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
21.828 * [taylor]: Taking taylor expansion of 2.0 in alpha
21.828 * [backup-simplify]: Simplify 2.0 into 2.0
21.828 * [taylor]: Taking taylor expansion of i in alpha
21.828 * [backup-simplify]: Simplify i into i
21.828 * [taylor]: Taking taylor expansion of beta in alpha
21.828 * [backup-simplify]: Simplify beta into beta
21.829 * [backup-simplify]: Simplify (* 1 1) into 1
21.829 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.829 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
21.829 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
21.829 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.829 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
21.829 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
21.830 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
21.830 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
21.830 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
21.831 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
21.831 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
21.831 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
21.831 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
21.831 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
21.831 * [taylor]: Taking taylor expansion of beta in beta
21.831 * [backup-simplify]: Simplify 0 into 0
21.831 * [backup-simplify]: Simplify 1 into 1
21.831 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
21.831 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.831 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.831 * [taylor]: Taking taylor expansion of 2.0 in beta
21.831 * [backup-simplify]: Simplify 2.0 into 2.0
21.832 * [taylor]: Taking taylor expansion of i in beta
21.832 * [backup-simplify]: Simplify i into i
21.832 * [taylor]: Taking taylor expansion of beta in beta
21.832 * [backup-simplify]: Simplify 0 into 0
21.832 * [backup-simplify]: Simplify 1 into 1
21.832 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.832 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.832 * [taylor]: Taking taylor expansion of 2.0 in beta
21.832 * [backup-simplify]: Simplify 2.0 into 2.0
21.832 * [taylor]: Taking taylor expansion of i in beta
21.832 * [backup-simplify]: Simplify i into i
21.832 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.832 * [taylor]: Taking taylor expansion of beta in beta
21.832 * [backup-simplify]: Simplify 0 into 0
21.832 * [backup-simplify]: Simplify 1 into 1
21.832 * [taylor]: Taking taylor expansion of 2.0 in beta
21.832 * [backup-simplify]: Simplify 2.0 into 2.0
21.832 * [backup-simplify]: Simplify (* 1 1) into 1
21.833 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.833 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.833 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.833 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.833 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.833 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
21.834 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
21.834 * [taylor]: Taking taylor expansion of 1.0 in beta
21.834 * [backup-simplify]: Simplify 1.0 into 1.0
21.834 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
21.834 * [taylor]: Taking taylor expansion of 1.0 in i
21.834 * [backup-simplify]: Simplify 1.0 into 1.0
21.834 * [backup-simplify]: Simplify 1.0 into 1.0
21.834 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
21.835 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
21.835 * [backup-simplify]: Simplify (+ 0 0) into 0
21.836 * [backup-simplify]: Simplify (+ 0 0) into 0
21.836 * [backup-simplify]: Simplify (+ 1 0) into 1
21.837 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
21.837 * [backup-simplify]: Simplify (+ 0 0) into 0
21.838 * [backup-simplify]: Simplify (+ 1 0) into 1
21.838 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
21.840 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
21.844 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
21.847 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
21.847 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
21.847 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
21.847 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
21.847 * [taylor]: Taking taylor expansion of 4.0 in beta
21.847 * [backup-simplify]: Simplify 4.0 into 4.0
21.847 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
21.848 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
21.848 * [taylor]: Taking taylor expansion of i in beta
21.848 * [backup-simplify]: Simplify i into i
21.848 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
21.848 * [taylor]: Taking taylor expansion of beta in beta
21.848 * [backup-simplify]: Simplify 0 into 0
21.848 * [backup-simplify]: Simplify 1 into 1
21.848 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
21.848 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
21.848 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.848 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.848 * [taylor]: Taking taylor expansion of 2.0 in beta
21.848 * [backup-simplify]: Simplify 2.0 into 2.0
21.848 * [taylor]: Taking taylor expansion of i in beta
21.848 * [backup-simplify]: Simplify i into i
21.848 * [taylor]: Taking taylor expansion of beta in beta
21.848 * [backup-simplify]: Simplify 0 into 0
21.848 * [backup-simplify]: Simplify 1 into 1
21.848 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.848 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.848 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
21.848 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.848 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.848 * [taylor]: Taking taylor expansion of 2.0 in beta
21.848 * [backup-simplify]: Simplify 2.0 into 2.0
21.848 * [taylor]: Taking taylor expansion of i in beta
21.848 * [backup-simplify]: Simplify i into i
21.848 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.849 * [taylor]: Taking taylor expansion of beta in beta
21.849 * [backup-simplify]: Simplify 0 into 0
21.849 * [backup-simplify]: Simplify 1 into 1
21.849 * [taylor]: Taking taylor expansion of 2.0 in beta
21.849 * [backup-simplify]: Simplify 2.0 into 2.0
21.849 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.849 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.849 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.850 * [backup-simplify]: Simplify (* 1 1) into 1
21.850 * [backup-simplify]: Simplify (* i 1) into i
21.850 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
21.850 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
21.851 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
21.851 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
21.851 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
21.851 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
21.851 * [taylor]: Taking taylor expansion of 2 in beta
21.851 * [backup-simplify]: Simplify 2 into 2
21.851 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
21.851 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
21.851 * [taylor]: Taking taylor expansion of beta in beta
21.851 * [backup-simplify]: Simplify 0 into 0
21.851 * [backup-simplify]: Simplify 1 into 1
21.851 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
21.851 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
21.852 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.852 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.852 * [taylor]: Taking taylor expansion of 2.0 in beta
21.852 * [backup-simplify]: Simplify 2.0 into 2.0
21.852 * [taylor]: Taking taylor expansion of i in beta
21.852 * [backup-simplify]: Simplify i into i
21.852 * [taylor]: Taking taylor expansion of beta in beta
21.852 * [backup-simplify]: Simplify 0 into 0
21.852 * [backup-simplify]: Simplify 1 into 1
21.852 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.852 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.852 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
21.852 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.852 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.852 * [taylor]: Taking taylor expansion of 2.0 in beta
21.852 * [backup-simplify]: Simplify 2.0 into 2.0
21.852 * [taylor]: Taking taylor expansion of i in beta
21.852 * [backup-simplify]: Simplify i into i
21.852 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.852 * [taylor]: Taking taylor expansion of beta in beta
21.852 * [backup-simplify]: Simplify 0 into 0
21.852 * [backup-simplify]: Simplify 1 into 1
21.852 * [taylor]: Taking taylor expansion of 2.0 in beta
21.852 * [backup-simplify]: Simplify 2.0 into 2.0
21.852 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.853 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.853 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.853 * [backup-simplify]: Simplify (* 1 1) into 1
21.854 * [backup-simplify]: Simplify (* 1 1) into 1
21.854 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
21.854 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
21.854 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
21.855 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
21.855 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
21.855 * [taylor]: Taking taylor expansion of 2.0 in beta
21.855 * [backup-simplify]: Simplify 2.0 into 2.0
21.855 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
21.855 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
21.855 * [taylor]: Taking taylor expansion of beta in beta
21.855 * [backup-simplify]: Simplify 0 into 0
21.855 * [backup-simplify]: Simplify 1 into 1
21.855 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
21.855 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
21.855 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.855 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.855 * [taylor]: Taking taylor expansion of 2.0 in beta
21.855 * [backup-simplify]: Simplify 2.0 into 2.0
21.855 * [taylor]: Taking taylor expansion of i in beta
21.855 * [backup-simplify]: Simplify i into i
21.855 * [taylor]: Taking taylor expansion of beta in beta
21.855 * [backup-simplify]: Simplify 0 into 0
21.855 * [backup-simplify]: Simplify 1 into 1
21.856 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.856 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.856 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
21.856 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.856 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.856 * [taylor]: Taking taylor expansion of 2.0 in beta
21.856 * [backup-simplify]: Simplify 2.0 into 2.0
21.856 * [taylor]: Taking taylor expansion of i in beta
21.856 * [backup-simplify]: Simplify i into i
21.856 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.856 * [taylor]: Taking taylor expansion of beta in beta
21.856 * [backup-simplify]: Simplify 0 into 0
21.856 * [backup-simplify]: Simplify 1 into 1
21.856 * [taylor]: Taking taylor expansion of 2.0 in beta
21.856 * [backup-simplify]: Simplify 2.0 into 2.0
21.856 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.857 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.857 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.857 * [backup-simplify]: Simplify (* 1 1) into 1
21.857 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
21.857 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
21.858 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
21.858 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
21.859 * [backup-simplify]: Simplify (+ 0 0) into 0
21.859 * [taylor]: Taking taylor expansion of 0 in i
21.859 * [backup-simplify]: Simplify 0 into 0
21.859 * [backup-simplify]: Simplify 0 into 0
21.859 * [backup-simplify]: Simplify 0 into 0
21.859 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
21.860 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
21.861 * [backup-simplify]: Simplify (+ 0 0) into 0
21.861 * [backup-simplify]: Simplify (+ 0 0) into 0
21.861 * [backup-simplify]: Simplify (+ 0 0) into 0
21.863 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
21.863 * [backup-simplify]: Simplify (+ 0 0) into 0
21.863 * [backup-simplify]: Simplify (+ 0 0) into 0
21.864 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
21.871 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
21.881 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
21.882 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
21.892 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
21.892 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
21.892 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
21.892 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
21.892 * [taylor]: Taking taylor expansion of 16.0 in beta
21.892 * [backup-simplify]: Simplify 16.0 into 16.0
21.892 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
21.892 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
21.892 * [taylor]: Taking taylor expansion of (pow i 2) in beta
21.892 * [taylor]: Taking taylor expansion of i in beta
21.892 * [backup-simplify]: Simplify i into i
21.892 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
21.892 * [taylor]: Taking taylor expansion of beta in beta
21.892 * [backup-simplify]: Simplify 0 into 0
21.893 * [backup-simplify]: Simplify 1 into 1
21.893 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
21.893 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
21.893 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.893 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.893 * [taylor]: Taking taylor expansion of 2.0 in beta
21.893 * [backup-simplify]: Simplify 2.0 into 2.0
21.893 * [taylor]: Taking taylor expansion of i in beta
21.893 * [backup-simplify]: Simplify i into i
21.893 * [taylor]: Taking taylor expansion of beta in beta
21.893 * [backup-simplify]: Simplify 0 into 0
21.893 * [backup-simplify]: Simplify 1 into 1
21.893 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.893 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.893 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
21.893 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.893 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.893 * [taylor]: Taking taylor expansion of 2.0 in beta
21.893 * [backup-simplify]: Simplify 2.0 into 2.0
21.893 * [taylor]: Taking taylor expansion of i in beta
21.893 * [backup-simplify]: Simplify i into i
21.893 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.893 * [taylor]: Taking taylor expansion of beta in beta
21.893 * [backup-simplify]: Simplify 0 into 0
21.893 * [backup-simplify]: Simplify 1 into 1
21.893 * [taylor]: Taking taylor expansion of 2.0 in beta
21.893 * [backup-simplify]: Simplify 2.0 into 2.0
21.893 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.894 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.895 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.895 * [backup-simplify]: Simplify (* i i) into (pow i 2)
21.895 * [backup-simplify]: Simplify (* 1 1) into 1
21.896 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
21.896 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
21.896 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
21.896 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
21.896 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
21.897 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
21.897 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
21.897 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
21.897 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
21.897 * [taylor]: Taking taylor expansion of 4 in beta
21.897 * [backup-simplify]: Simplify 4 into 4
21.897 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
21.898 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
21.898 * [taylor]: Taking taylor expansion of beta in beta
21.898 * [backup-simplify]: Simplify 0 into 0
21.898 * [backup-simplify]: Simplify 1 into 1
21.898 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
21.898 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
21.898 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.898 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.898 * [taylor]: Taking taylor expansion of 2.0 in beta
21.898 * [backup-simplify]: Simplify 2.0 into 2.0
21.898 * [taylor]: Taking taylor expansion of i in beta
21.898 * [backup-simplify]: Simplify i into i
21.898 * [taylor]: Taking taylor expansion of beta in beta
21.898 * [backup-simplify]: Simplify 0 into 0
21.898 * [backup-simplify]: Simplify 1 into 1
21.898 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.898 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.898 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
21.898 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.898 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.898 * [taylor]: Taking taylor expansion of 2.0 in beta
21.898 * [backup-simplify]: Simplify 2.0 into 2.0
21.898 * [taylor]: Taking taylor expansion of i in beta
21.898 * [backup-simplify]: Simplify i into i
21.898 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.898 * [taylor]: Taking taylor expansion of beta in beta
21.898 * [backup-simplify]: Simplify 0 into 0
21.898 * [backup-simplify]: Simplify 1 into 1
21.898 * [taylor]: Taking taylor expansion of 2.0 in beta
21.899 * [backup-simplify]: Simplify 2.0 into 2.0
21.899 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.899 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.899 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.900 * [backup-simplify]: Simplify (* 1 1) into 1
21.900 * [backup-simplify]: Simplify (* 1 1) into 1
21.900 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
21.900 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
21.901 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
21.901 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
21.901 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
21.902 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
21.902 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
21.902 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
21.902 * [taylor]: Taking taylor expansion of 8.0 in beta
21.902 * [backup-simplify]: Simplify 8.0 into 8.0
21.902 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
21.902 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
21.902 * [taylor]: Taking taylor expansion of beta in beta
21.902 * [backup-simplify]: Simplify 0 into 0
21.902 * [backup-simplify]: Simplify 1 into 1
21.902 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
21.902 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
21.902 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.902 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.902 * [taylor]: Taking taylor expansion of 2.0 in beta
21.902 * [backup-simplify]: Simplify 2.0 into 2.0
21.902 * [taylor]: Taking taylor expansion of i in beta
21.902 * [backup-simplify]: Simplify i into i
21.902 * [taylor]: Taking taylor expansion of beta in beta
21.902 * [backup-simplify]: Simplify 0 into 0
21.902 * [backup-simplify]: Simplify 1 into 1
21.903 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.903 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.903 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
21.903 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.903 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.903 * [taylor]: Taking taylor expansion of 2.0 in beta
21.903 * [backup-simplify]: Simplify 2.0 into 2.0
21.903 * [taylor]: Taking taylor expansion of i in beta
21.903 * [backup-simplify]: Simplify i into i
21.903 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.903 * [taylor]: Taking taylor expansion of beta in beta
21.903 * [backup-simplify]: Simplify 0 into 0
21.903 * [backup-simplify]: Simplify 1 into 1
21.903 * [taylor]: Taking taylor expansion of 2.0 in beta
21.903 * [backup-simplify]: Simplify 2.0 into 2.0
21.903 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.904 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.904 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.904 * [backup-simplify]: Simplify (* 1 1) into 1
21.905 * [backup-simplify]: Simplify (* 1 1) into 1
21.905 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
21.905 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
21.905 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
21.905 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
21.906 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
21.906 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
21.906 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
21.906 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
21.906 * [taylor]: Taking taylor expansion of 16.0 in beta
21.906 * [backup-simplify]: Simplify 16.0 into 16.0
21.906 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
21.906 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
21.906 * [taylor]: Taking taylor expansion of i in beta
21.906 * [backup-simplify]: Simplify i into i
21.906 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
21.906 * [taylor]: Taking taylor expansion of beta in beta
21.907 * [backup-simplify]: Simplify 0 into 0
21.907 * [backup-simplify]: Simplify 1 into 1
21.907 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
21.907 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
21.907 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.907 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.907 * [taylor]: Taking taylor expansion of 2.0 in beta
21.907 * [backup-simplify]: Simplify 2.0 into 2.0
21.907 * [taylor]: Taking taylor expansion of i in beta
21.907 * [backup-simplify]: Simplify i into i
21.907 * [taylor]: Taking taylor expansion of beta in beta
21.907 * [backup-simplify]: Simplify 0 into 0
21.907 * [backup-simplify]: Simplify 1 into 1
21.907 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.907 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.907 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
21.907 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.907 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.907 * [taylor]: Taking taylor expansion of 2.0 in beta
21.907 * [backup-simplify]: Simplify 2.0 into 2.0
21.907 * [taylor]: Taking taylor expansion of i in beta
21.907 * [backup-simplify]: Simplify i into i
21.907 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.907 * [taylor]: Taking taylor expansion of beta in beta
21.907 * [backup-simplify]: Simplify 0 into 0
21.908 * [backup-simplify]: Simplify 1 into 1
21.908 * [taylor]: Taking taylor expansion of 2.0 in beta
21.908 * [backup-simplify]: Simplify 2.0 into 2.0
21.908 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.908 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.909 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.909 * [backup-simplify]: Simplify (* 1 1) into 1
21.909 * [backup-simplify]: Simplify (* 1 1) into 1
21.909 * [backup-simplify]: Simplify (* i 1) into i
21.910 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
21.910 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
21.910 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
21.910 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
21.911 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
21.911 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
21.911 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
21.911 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
21.911 * [taylor]: Taking taylor expansion of 16.0 in beta
21.911 * [backup-simplify]: Simplify 16.0 into 16.0
21.911 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
21.912 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
21.912 * [taylor]: Taking taylor expansion of i in beta
21.912 * [backup-simplify]: Simplify i into i
21.912 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
21.912 * [taylor]: Taking taylor expansion of beta in beta
21.912 * [backup-simplify]: Simplify 0 into 0
21.912 * [backup-simplify]: Simplify 1 into 1
21.912 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
21.912 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
21.912 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.912 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.912 * [taylor]: Taking taylor expansion of 2.0 in beta
21.912 * [backup-simplify]: Simplify 2.0 into 2.0
21.912 * [taylor]: Taking taylor expansion of i in beta
21.912 * [backup-simplify]: Simplify i into i
21.912 * [taylor]: Taking taylor expansion of beta in beta
21.912 * [backup-simplify]: Simplify 0 into 0
21.912 * [backup-simplify]: Simplify 1 into 1
21.912 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.912 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.912 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
21.912 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.912 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.912 * [taylor]: Taking taylor expansion of 2.0 in beta
21.912 * [backup-simplify]: Simplify 2.0 into 2.0
21.912 * [taylor]: Taking taylor expansion of i in beta
21.913 * [backup-simplify]: Simplify i into i
21.913 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.913 * [taylor]: Taking taylor expansion of beta in beta
21.913 * [backup-simplify]: Simplify 0 into 0
21.913 * [backup-simplify]: Simplify 1 into 1
21.913 * [taylor]: Taking taylor expansion of 2.0 in beta
21.913 * [backup-simplify]: Simplify 2.0 into 2.0
21.913 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.913 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.914 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.914 * [backup-simplify]: Simplify (* 1 1) into 1
21.914 * [backup-simplify]: Simplify (* i 1) into i
21.914 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
21.914 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
21.915 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
21.915 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
21.915 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
21.916 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
21.916 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
21.916 * [taylor]: Taking taylor expansion of 4.0 in beta
21.916 * [backup-simplify]: Simplify 4.0 into 4.0
21.916 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
21.916 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
21.916 * [taylor]: Taking taylor expansion of beta in beta
21.916 * [backup-simplify]: Simplify 0 into 0
21.916 * [backup-simplify]: Simplify 1 into 1
21.916 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
21.916 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
21.916 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.916 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.916 * [taylor]: Taking taylor expansion of 2.0 in beta
21.916 * [backup-simplify]: Simplify 2.0 into 2.0
21.916 * [taylor]: Taking taylor expansion of i in beta
21.916 * [backup-simplify]: Simplify i into i
21.916 * [taylor]: Taking taylor expansion of beta in beta
21.916 * [backup-simplify]: Simplify 0 into 0
21.916 * [backup-simplify]: Simplify 1 into 1
21.916 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.916 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.916 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
21.916 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.916 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.917 * [taylor]: Taking taylor expansion of 2.0 in beta
21.917 * [backup-simplify]: Simplify 2.0 into 2.0
21.917 * [taylor]: Taking taylor expansion of i in beta
21.917 * [backup-simplify]: Simplify i into i
21.917 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.917 * [taylor]: Taking taylor expansion of beta in beta
21.917 * [backup-simplify]: Simplify 0 into 0
21.917 * [backup-simplify]: Simplify 1 into 1
21.917 * [taylor]: Taking taylor expansion of 2.0 in beta
21.917 * [backup-simplify]: Simplify 2.0 into 2.0
21.917 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.917 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.918 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.918 * [backup-simplify]: Simplify (* 1 1) into 1
21.918 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
21.918 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
21.919 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
21.919 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
21.919 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
21.920 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
21.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
21.920 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
21.920 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
21.920 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.920 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.920 * [taylor]: Taking taylor expansion of 2.0 in beta
21.920 * [backup-simplify]: Simplify 2.0 into 2.0
21.920 * [taylor]: Taking taylor expansion of i in beta
21.920 * [backup-simplify]: Simplify i into i
21.920 * [taylor]: Taking taylor expansion of beta in beta
21.920 * [backup-simplify]: Simplify 0 into 0
21.920 * [backup-simplify]: Simplify 1 into 1
21.920 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.920 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.920 * [taylor]: Taking taylor expansion of 2.0 in beta
21.920 * [backup-simplify]: Simplify 2.0 into 2.0
21.920 * [taylor]: Taking taylor expansion of i in beta
21.920 * [backup-simplify]: Simplify i into i
21.920 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.920 * [taylor]: Taking taylor expansion of beta in beta
21.920 * [backup-simplify]: Simplify 0 into 0
21.921 * [backup-simplify]: Simplify 1 into 1
21.921 * [taylor]: Taking taylor expansion of 2.0 in beta
21.921 * [backup-simplify]: Simplify 2.0 into 2.0
21.921 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.921 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.921 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.922 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.922 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.922 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
21.922 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
21.922 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
21.922 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
21.923 * [taylor]: Taking taylor expansion of beta in beta
21.923 * [backup-simplify]: Simplify 0 into 0
21.923 * [backup-simplify]: Simplify 1 into 1
21.923 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
21.923 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
21.923 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
21.923 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.923 * [taylor]: Taking taylor expansion of 2.0 in beta
21.923 * [backup-simplify]: Simplify 2.0 into 2.0
21.923 * [taylor]: Taking taylor expansion of i in beta
21.923 * [backup-simplify]: Simplify i into i
21.923 * [taylor]: Taking taylor expansion of beta in beta
21.923 * [backup-simplify]: Simplify 0 into 0
21.923 * [backup-simplify]: Simplify 1 into 1
21.923 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.923 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
21.923 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
21.923 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
21.923 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
21.923 * [taylor]: Taking taylor expansion of 2.0 in beta
21.923 * [backup-simplify]: Simplify 2.0 into 2.0
21.923 * [taylor]: Taking taylor expansion of i in beta
21.924 * [backup-simplify]: Simplify i into i
21.924 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
21.924 * [taylor]: Taking taylor expansion of beta in beta
21.924 * [backup-simplify]: Simplify 0 into 0
21.924 * [backup-simplify]: Simplify 1 into 1
21.924 * [taylor]: Taking taylor expansion of 2.0 in beta
21.924 * [backup-simplify]: Simplify 2.0 into 2.0
21.924 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
21.924 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.924 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
21.925 * [backup-simplify]: Simplify (* 1 1) into 1
21.925 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
21.925 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
21.926 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
21.926 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
21.926 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
21.926 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
21.927 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
21.927 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
21.927 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
21.927 * [taylor]: Taking taylor expansion of 0.5 in i
21.927 * [backup-simplify]: Simplify 0.5 into 0.5
21.927 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
21.927 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
21.927 * [taylor]: Taking taylor expansion of i in i
21.927 * [backup-simplify]: Simplify 0 into 0
21.927 * [backup-simplify]: Simplify 1 into 1
21.927 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
21.927 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
21.927 * [taylor]: Taking taylor expansion of 2.0 in i
21.927 * [backup-simplify]: Simplify 2.0 into 2.0
21.927 * [taylor]: Taking taylor expansion of i in i
21.927 * [backup-simplify]: Simplify 0 into 0
21.927 * [backup-simplify]: Simplify 1 into 1
21.927 * [taylor]: Taking taylor expansion of 2.0 in i
21.927 * [backup-simplify]: Simplify 2.0 into 2.0
21.928 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.928 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.929 * [backup-simplify]: Simplify (* 0 2.0) into 0
21.930 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
21.931 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
21.932 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
21.933 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
21.934 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
21.934 * [backup-simplify]: Simplify (+ 0 0) into 0
21.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
21.939 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
21.941 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
21.942 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
21.942 * [backup-simplify]: Simplify 0.25 into 0.25
21.942 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
21.942 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
21.942 * [taylor]: Taking taylor expansion of 0.5 in i
21.942 * [backup-simplify]: Simplify 0.5 into 0.5
21.943 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
21.943 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
21.943 * [taylor]: Taking taylor expansion of i in i
21.943 * [backup-simplify]: Simplify 0 into 0
21.943 * [backup-simplify]: Simplify 1 into 1
21.943 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
21.943 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
21.943 * [taylor]: Taking taylor expansion of 2.0 in i
21.943 * [backup-simplify]: Simplify 2.0 into 2.0
21.943 * [taylor]: Taking taylor expansion of i in i
21.943 * [backup-simplify]: Simplify 0 into 0
21.943 * [backup-simplify]: Simplify 1 into 1
21.943 * [taylor]: Taking taylor expansion of 2.0 in i
21.943 * [backup-simplify]: Simplify 2.0 into 2.0
21.943 * [backup-simplify]: Simplify (* 2.0 0) into 0
21.944 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.944 * [backup-simplify]: Simplify (* 0 2.0) into 0
21.946 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
21.954 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
21.956 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
21.957 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
21.958 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
21.958 * [backup-simplify]: Simplify (+ 0 0) into 0
21.961 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
21.963 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
21.965 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
21.966 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
21.971 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
21.973 * [backup-simplify]: Simplify (+ (* (/ (/ (+ (/ 1 alpha) (/ 1 beta)) 1) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
21.973 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
21.973 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
21.973 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
21.973 * [taylor]: Taking taylor expansion of 1.0 in i
21.973 * [backup-simplify]: Simplify 1.0 into 1.0
21.973 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
21.973 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
21.973 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
21.973 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
21.973 * [taylor]: Taking taylor expansion of alpha in i
21.973 * [backup-simplify]: Simplify alpha into alpha
21.974 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
21.974 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
21.974 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
21.974 * [taylor]: Taking taylor expansion of 2.0 in i
21.974 * [backup-simplify]: Simplify 2.0 into 2.0
21.974 * [taylor]: Taking taylor expansion of (/ 1 i) in i
21.974 * [taylor]: Taking taylor expansion of i in i
21.974 * [backup-simplify]: Simplify 0 into 0
21.974 * [backup-simplify]: Simplify 1 into 1
21.974 * [backup-simplify]: Simplify (/ 1 1) into 1
21.974 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
21.974 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
21.975 * [taylor]: Taking taylor expansion of beta in i
21.975 * [backup-simplify]: Simplify beta into beta
21.975 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
21.975 * [taylor]: Taking taylor expansion of 2.0 in i
21.975 * [backup-simplify]: Simplify 2.0 into 2.0
21.975 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
21.975 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
21.975 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
21.975 * [taylor]: Taking taylor expansion of alpha in i
21.975 * [backup-simplify]: Simplify alpha into alpha
21.975 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
21.975 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
21.975 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
21.975 * [taylor]: Taking taylor expansion of 2.0 in i
21.975 * [backup-simplify]: Simplify 2.0 into 2.0
21.975 * [taylor]: Taking taylor expansion of (/ 1 i) in i
21.975 * [taylor]: Taking taylor expansion of i in i
21.975 * [backup-simplify]: Simplify 0 into 0
21.975 * [backup-simplify]: Simplify 1 into 1
21.976 * [backup-simplify]: Simplify (/ 1 1) into 1
21.976 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
21.976 * [taylor]: Taking taylor expansion of beta in i
21.976 * [backup-simplify]: Simplify beta into beta
21.976 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
21.976 * [taylor]: Taking taylor expansion of (pow beta 2) in i
21.976 * [taylor]: Taking taylor expansion of beta in i
21.976 * [backup-simplify]: Simplify beta into beta
21.976 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
21.977 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
21.977 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.978 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
21.978 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
21.989 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.989 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
21.990 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
21.990 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
21.990 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
21.990 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
21.990 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
21.991 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
21.991 * [taylor]: Taking taylor expansion of alpha in i
21.991 * [backup-simplify]: Simplify alpha into alpha
21.991 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
21.991 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
21.991 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
21.991 * [taylor]: Taking taylor expansion of alpha in i
21.991 * [backup-simplify]: Simplify alpha into alpha
21.991 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
21.991 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
21.991 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
21.991 * [taylor]: Taking taylor expansion of 2.0 in i
21.991 * [backup-simplify]: Simplify 2.0 into 2.0
21.991 * [taylor]: Taking taylor expansion of (/ 1 i) in i
21.991 * [taylor]: Taking taylor expansion of i in i
21.991 * [backup-simplify]: Simplify 0 into 0
21.991 * [backup-simplify]: Simplify 1 into 1
21.992 * [backup-simplify]: Simplify (/ 1 1) into 1
21.992 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
21.992 * [taylor]: Taking taylor expansion of beta in i
21.992 * [backup-simplify]: Simplify beta into beta
21.992 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
21.992 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
21.992 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
21.992 * [taylor]: Taking taylor expansion of alpha in i
21.992 * [backup-simplify]: Simplify alpha into alpha
21.992 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
21.993 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
21.993 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
21.993 * [taylor]: Taking taylor expansion of 2.0 in i
21.993 * [backup-simplify]: Simplify 2.0 into 2.0
21.993 * [taylor]: Taking taylor expansion of (/ 1 i) in i
21.993 * [taylor]: Taking taylor expansion of i in i
21.993 * [backup-simplify]: Simplify 0 into 0
21.993 * [backup-simplify]: Simplify 1 into 1
21.994 * [backup-simplify]: Simplify (/ 1 1) into 1
21.994 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
21.994 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
21.994 * [taylor]: Taking taylor expansion of beta in i
21.994 * [backup-simplify]: Simplify beta into beta
21.994 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
21.994 * [taylor]: Taking taylor expansion of 2.0 in i
21.994 * [backup-simplify]: Simplify 2.0 into 2.0
21.994 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
21.996 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
21.996 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
21.996 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.997 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
21.997 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
21.998 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
21.998 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
21.998 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
21.998 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
21.998 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
21.998 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
21.998 * [taylor]: Taking taylor expansion of 1.0 in beta
21.999 * [backup-simplify]: Simplify 1.0 into 1.0
21.999 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
21.999 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
21.999 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
21.999 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
21.999 * [taylor]: Taking taylor expansion of alpha in beta
21.999 * [backup-simplify]: Simplify alpha into alpha
21.999 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
21.999 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
21.999 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
21.999 * [taylor]: Taking taylor expansion of 2.0 in beta
21.999 * [backup-simplify]: Simplify 2.0 into 2.0
21.999 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
21.999 * [taylor]: Taking taylor expansion of i in beta
21.999 * [backup-simplify]: Simplify i into i
21.999 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
21.999 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
21.999 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
21.999 * [taylor]: Taking taylor expansion of beta in beta
21.999 * [backup-simplify]: Simplify 0 into 0
21.999 * [backup-simplify]: Simplify 1 into 1
22.000 * [backup-simplify]: Simplify (/ 1 1) into 1
22.000 * [taylor]: Taking taylor expansion of 2.0 in beta
22.000 * [backup-simplify]: Simplify 2.0 into 2.0
22.000 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
22.000 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
22.000 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
22.000 * [taylor]: Taking taylor expansion of alpha in beta
22.000 * [backup-simplify]: Simplify alpha into alpha
22.000 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
22.000 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
22.000 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
22.000 * [taylor]: Taking taylor expansion of 2.0 in beta
22.000 * [backup-simplify]: Simplify 2.0 into 2.0
22.000 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
22.000 * [taylor]: Taking taylor expansion of i in beta
22.000 * [backup-simplify]: Simplify i into i
22.000 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.000 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
22.000 * [taylor]: Taking taylor expansion of beta in beta
22.000 * [backup-simplify]: Simplify 0 into 0
22.000 * [backup-simplify]: Simplify 1 into 1
22.001 * [backup-simplify]: Simplify (/ 1 1) into 1
22.001 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
22.001 * [taylor]: Taking taylor expansion of beta in beta
22.001 * [backup-simplify]: Simplify 0 into 0
22.001 * [backup-simplify]: Simplify 1 into 1
22.001 * [backup-simplify]: Simplify (+ 1 0) into 1
22.002 * [backup-simplify]: Simplify (+ 0 1) into 1
22.002 * [backup-simplify]: Simplify (+ 0 1) into 1
22.002 * [backup-simplify]: Simplify (+ 0 1) into 1
22.003 * [backup-simplify]: Simplify (+ 0 1) into 1
22.003 * [backup-simplify]: Simplify (* 1 1) into 1
22.004 * [backup-simplify]: Simplify (* 1 1) into 1
22.004 * [backup-simplify]: Simplify (* 1 1) into 1
22.004 * [backup-simplify]: Simplify (/ 1 1) into 1
22.004 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
22.005 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
22.005 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
22.005 * [taylor]: Taking taylor expansion of alpha in beta
22.005 * [backup-simplify]: Simplify alpha into alpha
22.005 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
22.005 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
22.005 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
22.005 * [taylor]: Taking taylor expansion of alpha in beta
22.005 * [backup-simplify]: Simplify alpha into alpha
22.005 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
22.005 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
22.005 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
22.005 * [taylor]: Taking taylor expansion of 2.0 in beta
22.005 * [backup-simplify]: Simplify 2.0 into 2.0
22.005 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
22.005 * [taylor]: Taking taylor expansion of i in beta
22.005 * [backup-simplify]: Simplify i into i
22.005 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.005 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
22.005 * [taylor]: Taking taylor expansion of beta in beta
22.005 * [backup-simplify]: Simplify 0 into 0
22.005 * [backup-simplify]: Simplify 1 into 1
22.006 * [backup-simplify]: Simplify (/ 1 1) into 1
22.006 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
22.006 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
22.006 * [taylor]: Taking taylor expansion of alpha in beta
22.006 * [backup-simplify]: Simplify alpha into alpha
22.006 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
22.006 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
22.006 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
22.006 * [taylor]: Taking taylor expansion of 2.0 in beta
22.006 * [backup-simplify]: Simplify 2.0 into 2.0
22.006 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
22.006 * [taylor]: Taking taylor expansion of i in beta
22.006 * [backup-simplify]: Simplify i into i
22.006 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.006 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
22.006 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
22.006 * [taylor]: Taking taylor expansion of beta in beta
22.006 * [backup-simplify]: Simplify 0 into 0
22.006 * [backup-simplify]: Simplify 1 into 1
22.007 * [backup-simplify]: Simplify (/ 1 1) into 1
22.007 * [taylor]: Taking taylor expansion of 2.0 in beta
22.007 * [backup-simplify]: Simplify 2.0 into 2.0
22.007 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
22.007 * [backup-simplify]: Simplify (+ 0 1) into 1
22.007 * [backup-simplify]: Simplify (+ 0 1) into 1
22.008 * [backup-simplify]: Simplify (+ 1 0) into 1
22.008 * [backup-simplify]: Simplify (+ 0 1) into 1
22.008 * [backup-simplify]: Simplify (+ 0 1) into 1
22.009 * [backup-simplify]: Simplify (* 1 1) into 1
22.009 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
22.009 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
22.009 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
22.009 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
22.009 * [taylor]: Taking taylor expansion of 1.0 in alpha
22.009 * [backup-simplify]: Simplify 1.0 into 1.0
22.009 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
22.009 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
22.009 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
22.009 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
22.009 * [taylor]: Taking taylor expansion of alpha in alpha
22.009 * [backup-simplify]: Simplify 0 into 0
22.009 * [backup-simplify]: Simplify 1 into 1
22.010 * [backup-simplify]: Simplify (/ 1 1) into 1
22.010 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
22.010 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
22.010 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.010 * [backup-simplify]: Simplify 2.0 into 2.0
22.010 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
22.010 * [taylor]: Taking taylor expansion of i in alpha
22.010 * [backup-simplify]: Simplify i into i
22.010 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.010 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
22.010 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
22.010 * [taylor]: Taking taylor expansion of beta in alpha
22.010 * [backup-simplify]: Simplify beta into beta
22.010 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
22.010 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.010 * [backup-simplify]: Simplify 2.0 into 2.0
22.010 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
22.010 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
22.010 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
22.010 * [taylor]: Taking taylor expansion of alpha in alpha
22.011 * [backup-simplify]: Simplify 0 into 0
22.011 * [backup-simplify]: Simplify 1 into 1
22.011 * [backup-simplify]: Simplify (/ 1 1) into 1
22.011 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
22.011 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
22.011 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.011 * [backup-simplify]: Simplify 2.0 into 2.0
22.011 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
22.011 * [taylor]: Taking taylor expansion of i in alpha
22.011 * [backup-simplify]: Simplify i into i
22.011 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.011 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
22.011 * [taylor]: Taking taylor expansion of beta in alpha
22.011 * [backup-simplify]: Simplify beta into beta
22.011 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
22.011 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
22.011 * [taylor]: Taking taylor expansion of beta in alpha
22.012 * [backup-simplify]: Simplify beta into beta
22.012 * [backup-simplify]: Simplify (+ 1 0) into 1
22.012 * [backup-simplify]: Simplify (+ 1 0) into 1
22.013 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
22.013 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
22.013 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
22.013 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
22.013 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
22.013 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
22.013 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
22.013 * [taylor]: Taking taylor expansion of alpha in alpha
22.013 * [backup-simplify]: Simplify 0 into 0
22.013 * [backup-simplify]: Simplify 1 into 1
22.013 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
22.013 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
22.013 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
22.013 * [taylor]: Taking taylor expansion of alpha in alpha
22.013 * [backup-simplify]: Simplify 0 into 0
22.013 * [backup-simplify]: Simplify 1 into 1
22.014 * [backup-simplify]: Simplify (/ 1 1) into 1
22.014 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
22.014 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
22.014 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.014 * [backup-simplify]: Simplify 2.0 into 2.0
22.014 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
22.014 * [taylor]: Taking taylor expansion of i in alpha
22.014 * [backup-simplify]: Simplify i into i
22.014 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.014 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
22.014 * [taylor]: Taking taylor expansion of beta in alpha
22.014 * [backup-simplify]: Simplify beta into beta
22.014 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
22.014 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
22.015 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
22.015 * [taylor]: Taking taylor expansion of alpha in alpha
22.015 * [backup-simplify]: Simplify 0 into 0
22.015 * [backup-simplify]: Simplify 1 into 1
22.015 * [backup-simplify]: Simplify (/ 1 1) into 1
22.015 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
22.015 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
22.015 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.015 * [backup-simplify]: Simplify 2.0 into 2.0
22.015 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
22.015 * [taylor]: Taking taylor expansion of i in alpha
22.015 * [backup-simplify]: Simplify i into i
22.015 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.015 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
22.015 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
22.015 * [taylor]: Taking taylor expansion of beta in alpha
22.015 * [backup-simplify]: Simplify beta into beta
22.016 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
22.016 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.016 * [backup-simplify]: Simplify 2.0 into 2.0
22.016 * [backup-simplify]: Simplify (* 1 1) into 1
22.016 * [backup-simplify]: Simplify (+ 1 0) into 1
22.017 * [backup-simplify]: Simplify (+ 1 0) into 1
22.017 * [backup-simplify]: Simplify (* 1 1) into 1
22.018 * [backup-simplify]: Simplify (* 1 1) into 1
22.018 * [backup-simplify]: Simplify (/ 1 1) into 1
22.018 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
22.018 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
22.018 * [taylor]: Taking taylor expansion of 1.0 in alpha
22.018 * [backup-simplify]: Simplify 1.0 into 1.0
22.018 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
22.018 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
22.018 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
22.018 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
22.018 * [taylor]: Taking taylor expansion of alpha in alpha
22.018 * [backup-simplify]: Simplify 0 into 0
22.018 * [backup-simplify]: Simplify 1 into 1
22.019 * [backup-simplify]: Simplify (/ 1 1) into 1
22.019 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
22.019 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
22.019 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.019 * [backup-simplify]: Simplify 2.0 into 2.0
22.019 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
22.019 * [taylor]: Taking taylor expansion of i in alpha
22.019 * [backup-simplify]: Simplify i into i
22.019 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.019 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
22.019 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
22.019 * [taylor]: Taking taylor expansion of beta in alpha
22.019 * [backup-simplify]: Simplify beta into beta
22.019 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
22.019 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.019 * [backup-simplify]: Simplify 2.0 into 2.0
22.019 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
22.019 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
22.020 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
22.020 * [taylor]: Taking taylor expansion of alpha in alpha
22.020 * [backup-simplify]: Simplify 0 into 0
22.020 * [backup-simplify]: Simplify 1 into 1
22.020 * [backup-simplify]: Simplify (/ 1 1) into 1
22.020 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
22.020 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
22.020 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.020 * [backup-simplify]: Simplify 2.0 into 2.0
22.020 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
22.020 * [taylor]: Taking taylor expansion of i in alpha
22.020 * [backup-simplify]: Simplify i into i
22.020 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.020 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
22.020 * [taylor]: Taking taylor expansion of beta in alpha
22.020 * [backup-simplify]: Simplify beta into beta
22.020 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
22.020 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
22.021 * [taylor]: Taking taylor expansion of beta in alpha
22.021 * [backup-simplify]: Simplify beta into beta
22.021 * [backup-simplify]: Simplify (+ 1 0) into 1
22.021 * [backup-simplify]: Simplify (+ 1 0) into 1
22.022 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
22.022 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
22.022 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
22.022 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
22.022 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
22.022 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
22.022 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
22.022 * [taylor]: Taking taylor expansion of alpha in alpha
22.022 * [backup-simplify]: Simplify 0 into 0
22.022 * [backup-simplify]: Simplify 1 into 1
22.022 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
22.022 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
22.022 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
22.022 * [taylor]: Taking taylor expansion of alpha in alpha
22.022 * [backup-simplify]: Simplify 0 into 0
22.023 * [backup-simplify]: Simplify 1 into 1
22.023 * [backup-simplify]: Simplify (/ 1 1) into 1
22.023 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
22.023 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
22.023 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.023 * [backup-simplify]: Simplify 2.0 into 2.0
22.023 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
22.023 * [taylor]: Taking taylor expansion of i in alpha
22.023 * [backup-simplify]: Simplify i into i
22.023 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.023 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
22.023 * [taylor]: Taking taylor expansion of beta in alpha
22.023 * [backup-simplify]: Simplify beta into beta
22.023 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
22.023 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
22.024 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
22.024 * [taylor]: Taking taylor expansion of alpha in alpha
22.024 * [backup-simplify]: Simplify 0 into 0
22.024 * [backup-simplify]: Simplify 1 into 1
22.024 * [backup-simplify]: Simplify (/ 1 1) into 1
22.024 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
22.024 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
22.024 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.024 * [backup-simplify]: Simplify 2.0 into 2.0
22.024 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
22.024 * [taylor]: Taking taylor expansion of i in alpha
22.024 * [backup-simplify]: Simplify i into i
22.024 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.024 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
22.024 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
22.024 * [taylor]: Taking taylor expansion of beta in alpha
22.024 * [backup-simplify]: Simplify beta into beta
22.025 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
22.025 * [taylor]: Taking taylor expansion of 2.0 in alpha
22.025 * [backup-simplify]: Simplify 2.0 into 2.0
22.025 * [backup-simplify]: Simplify (* 1 1) into 1
22.026 * [backup-simplify]: Simplify (+ 1 0) into 1
22.026 * [backup-simplify]: Simplify (+ 1 0) into 1
22.026 * [backup-simplify]: Simplify (* 1 1) into 1
22.027 * [backup-simplify]: Simplify (* 1 1) into 1
22.027 * [backup-simplify]: Simplify (/ 1 1) into 1
22.028 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
22.028 * [backup-simplify]: Simplify (- 1) into -1
22.028 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
22.029 * [taylor]: Taking taylor expansion of 0 in beta
22.029 * [backup-simplify]: Simplify 0 into 0
22.029 * [taylor]: Taking taylor expansion of 0 in i
22.029 * [backup-simplify]: Simplify 0 into 0
22.029 * [backup-simplify]: Simplify 0 into 0
22.029 * [backup-simplify]: Simplify (+ 0 0) into 0
22.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.030 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
22.030 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
22.030 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
22.031 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
22.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.032 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
22.032 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
22.032 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
22.033 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
22.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.035 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
22.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
22.036 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
22.036 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
22.036 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
22.036 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
22.036 * [taylor]: Taking taylor expansion of 4.0 in beta
22.036 * [backup-simplify]: Simplify 4.0 into 4.0
22.036 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
22.036 * [taylor]: Taking taylor expansion of i in beta
22.036 * [backup-simplify]: Simplify i into i
22.036 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.036 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
22.036 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
22.036 * [taylor]: Taking taylor expansion of 2 in beta
22.037 * [backup-simplify]: Simplify 2 into 2
22.037 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
22.037 * [taylor]: Taking taylor expansion of beta in beta
22.037 * [backup-simplify]: Simplify 0 into 0
22.037 * [backup-simplify]: Simplify 1 into 1
22.037 * [backup-simplify]: Simplify (/ 1 1) into 1
22.037 * [taylor]: Taking taylor expansion of 2.0 in beta
22.037 * [backup-simplify]: Simplify 2.0 into 2.0
22.038 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
22.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.039 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
22.040 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
22.040 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
22.040 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
22.040 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
22.040 * [taylor]: Taking taylor expansion of 4.0 in i
22.040 * [backup-simplify]: Simplify 4.0 into 4.0
22.040 * [taylor]: Taking taylor expansion of (/ 1 i) in i
22.040 * [taylor]: Taking taylor expansion of i in i
22.040 * [backup-simplify]: Simplify 0 into 0
22.040 * [backup-simplify]: Simplify 1 into 1
22.041 * [backup-simplify]: Simplify (/ 1 1) into 1
22.041 * [taylor]: Taking taylor expansion of 2.0 in i
22.041 * [backup-simplify]: Simplify 2.0 into 2.0
22.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.042 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
22.043 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
22.043 * [backup-simplify]: Simplify 2.0 into 2.0
22.043 * [taylor]: Taking taylor expansion of 0 in i
22.043 * [backup-simplify]: Simplify 0 into 0
22.043 * [backup-simplify]: Simplify 0 into 0
22.043 * [backup-simplify]: Simplify 0 into 0
22.043 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
22.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
22.045 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
22.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
22.045 * [backup-simplify]: Simplify (+ 0 0) into 0
22.046 * [backup-simplify]: Simplify (+ 0 0) into 0
22.046 * [backup-simplify]: Simplify (+ 0 0) into 0
22.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
22.048 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
22.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
22.048 * [backup-simplify]: Simplify (+ 0 0) into 0
22.049 * [backup-simplify]: Simplify (+ 0 0) into 0
22.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
22.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.053 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
22.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
22.056 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
22.057 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
22.057 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
22.057 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
22.057 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
22.057 * [taylor]: Taking taylor expansion of 2 in beta
22.057 * [backup-simplify]: Simplify 2 into 2
22.057 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
22.057 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
22.057 * [taylor]: Taking taylor expansion of beta in beta
22.057 * [backup-simplify]: Simplify 0 into 0
22.057 * [backup-simplify]: Simplify 1 into 1
22.058 * [backup-simplify]: Simplify (* 1 1) into 1
22.058 * [backup-simplify]: Simplify (/ 1 1) into 1
22.058 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
22.058 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
22.058 * [taylor]: Taking taylor expansion of 12.0 in beta
22.058 * [backup-simplify]: Simplify 12.0 into 12.0
22.058 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
22.058 * [taylor]: Taking taylor expansion of (pow i 2) in beta
22.058 * [taylor]: Taking taylor expansion of i in beta
22.058 * [backup-simplify]: Simplify i into i
22.059 * [backup-simplify]: Simplify (* i i) into (pow i 2)
22.059 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
22.059 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
22.059 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
22.059 * [taylor]: Taking taylor expansion of 6.0 in beta
22.059 * [backup-simplify]: Simplify 6.0 into 6.0
22.059 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
22.059 * [taylor]: Taking taylor expansion of beta in beta
22.059 * [backup-simplify]: Simplify 0 into 0
22.059 * [backup-simplify]: Simplify 1 into 1
22.059 * [backup-simplify]: Simplify (/ 1 1) into 1
22.059 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
22.059 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
22.059 * [taylor]: Taking taylor expansion of 12.0 in beta
22.059 * [backup-simplify]: Simplify 12.0 into 12.0
22.059 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
22.059 * [taylor]: Taking taylor expansion of i in beta
22.059 * [backup-simplify]: Simplify i into i
22.059 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.060 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
22.060 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
22.060 * [taylor]: Taking taylor expansion of 12.0 in beta
22.060 * [backup-simplify]: Simplify 12.0 into 12.0
22.060 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
22.060 * [taylor]: Taking taylor expansion of (* i beta) in beta
22.060 * [taylor]: Taking taylor expansion of i in beta
22.060 * [backup-simplify]: Simplify i into i
22.060 * [taylor]: Taking taylor expansion of beta in beta
22.060 * [backup-simplify]: Simplify 0 into 0
22.060 * [backup-simplify]: Simplify 1 into 1
22.060 * [backup-simplify]: Simplify (* i 0) into 0
22.060 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
22.060 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.060 * [taylor]: Taking taylor expansion of 4.0 in beta
22.060 * [backup-simplify]: Simplify 4.0 into 4.0
22.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.064 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
22.064 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
22.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.066 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
22.066 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
22.066 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
22.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
22.067 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
22.067 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
22.068 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
22.068 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
22.068 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
22.068 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
22.069 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
22.069 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
22.069 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
22.069 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
22.069 * [taylor]: Taking taylor expansion of 12.0 in i
22.069 * [backup-simplify]: Simplify 12.0 into 12.0
22.069 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
22.069 * [taylor]: Taking taylor expansion of (pow i 2) in i
22.069 * [taylor]: Taking taylor expansion of i in i
22.069 * [backup-simplify]: Simplify 0 into 0
22.069 * [backup-simplify]: Simplify 1 into 1
22.069 * [backup-simplify]: Simplify (* 1 1) into 1
22.070 * [backup-simplify]: Simplify (/ 1 1) into 1
22.070 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
22.070 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
22.070 * [taylor]: Taking taylor expansion of 12.0 in i
22.070 * [backup-simplify]: Simplify 12.0 into 12.0
22.070 * [taylor]: Taking taylor expansion of (/ 1 i) in i
22.070 * [taylor]: Taking taylor expansion of i in i
22.070 * [backup-simplify]: Simplify 0 into 0
22.070 * [backup-simplify]: Simplify 1 into 1
22.070 * [backup-simplify]: Simplify (/ 1 1) into 1
22.070 * [taylor]: Taking taylor expansion of 4.0 in i
22.070 * [backup-simplify]: Simplify 4.0 into 4.0
22.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.074 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
22.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.075 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
22.075 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
22.075 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
22.076 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
22.076 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
22.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
22.076 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
22.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.077 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
22.078 * [backup-simplify]: Simplify (+ 0 0) into 0
22.078 * [backup-simplify]: Simplify (+ 0 0) into 0
22.078 * [taylor]: Taking taylor expansion of 0 in i
22.078 * [backup-simplify]: Simplify 0 into 0
22.078 * [backup-simplify]: Simplify 0 into 0
22.078 * [taylor]: Taking taylor expansion of 0 in i
22.078 * [backup-simplify]: Simplify 0 into 0
22.078 * [backup-simplify]: Simplify 0 into 0
22.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.080 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
22.080 * [backup-simplify]: Simplify (+ 0 0) into 0
22.080 * [backup-simplify]: Simplify 0 into 0
22.080 * [backup-simplify]: Simplify 0 into 0
22.080 * [backup-simplify]: Simplify 0 into 0
22.080 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
22.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.081 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
22.081 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
22.082 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
22.082 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
22.083 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
22.083 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
22.083 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
22.083 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
22.084 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
22.084 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
22.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
22.086 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
22.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
22.088 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
22.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
22.089 * [backup-simplify]: Simplify (+ 0 0) into 0
22.089 * [backup-simplify]: Simplify (+ 0 0) into 0
22.089 * [backup-simplify]: Simplify (+ 0 0) into 0
22.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
22.090 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
22.091 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
22.092 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
22.092 * [backup-simplify]: Simplify (+ 0 0) into 0
22.093 * [backup-simplify]: Simplify (+ 0 0) into 0
22.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
22.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
22.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
22.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
22.107 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
22.111 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
22.112 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
22.112 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
22.112 * [taylor]: Taking taylor expansion of 20.0 in beta
22.112 * [backup-simplify]: Simplify 20.0 into 20.0
22.112 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
22.112 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
22.112 * [taylor]: Taking taylor expansion of i in beta
22.112 * [backup-simplify]: Simplify i into i
22.112 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
22.112 * [taylor]: Taking taylor expansion of beta in beta
22.112 * [backup-simplify]: Simplify 0 into 0
22.112 * [backup-simplify]: Simplify 1 into 1
22.112 * [backup-simplify]: Simplify (* 1 1) into 1
22.113 * [backup-simplify]: Simplify (* i 1) into i
22.113 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.113 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
22.113 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
22.113 * [taylor]: Taking taylor expansion of 48.0 in beta
22.113 * [backup-simplify]: Simplify 48.0 into 48.0
22.113 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
22.113 * [taylor]: Taking taylor expansion of (pow i 2) in beta
22.113 * [taylor]: Taking taylor expansion of i in beta
22.113 * [backup-simplify]: Simplify i into i
22.113 * [backup-simplify]: Simplify (* i i) into (pow i 2)
22.113 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
22.113 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
22.113 * [taylor]: Taking taylor expansion of 8.0 in beta
22.113 * [backup-simplify]: Simplify 8.0 into 8.0
22.113 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
22.113 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
22.113 * [taylor]: Taking taylor expansion of 10.0 in beta
22.113 * [backup-simplify]: Simplify 10.0 into 10.0
22.113 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
22.113 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
22.113 * [taylor]: Taking taylor expansion of beta in beta
22.114 * [backup-simplify]: Simplify 0 into 0
22.114 * [backup-simplify]: Simplify 1 into 1
22.114 * [backup-simplify]: Simplify (* 1 1) into 1
22.114 * [backup-simplify]: Simplify (/ 1 1) into 1
22.114 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
22.114 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
22.114 * [taylor]: Taking taylor expansion of 48.0 in beta
22.114 * [backup-simplify]: Simplify 48.0 into 48.0
22.114 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
22.115 * [taylor]: Taking taylor expansion of (* i beta) in beta
22.115 * [taylor]: Taking taylor expansion of i in beta
22.115 * [backup-simplify]: Simplify i into i
22.115 * [taylor]: Taking taylor expansion of beta in beta
22.115 * [backup-simplify]: Simplify 0 into 0
22.115 * [backup-simplify]: Simplify 1 into 1
22.115 * [backup-simplify]: Simplify (* i 0) into 0
22.115 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
22.115 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.115 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
22.115 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
22.115 * [taylor]: Taking taylor expansion of 2 in beta
22.115 * [backup-simplify]: Simplify 2 into 2
22.115 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
22.115 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
22.115 * [taylor]: Taking taylor expansion of beta in beta
22.115 * [backup-simplify]: Simplify 0 into 0
22.116 * [backup-simplify]: Simplify 1 into 1
22.116 * [backup-simplify]: Simplify (* 1 1) into 1
22.117 * [backup-simplify]: Simplify (* 1 1) into 1
22.118 * [backup-simplify]: Simplify (/ 1 1) into 1
22.118 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
22.118 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
22.118 * [taylor]: Taking taylor expansion of 48.0 in beta
22.118 * [backup-simplify]: Simplify 48.0 into 48.0
22.119 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
22.119 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
22.119 * [taylor]: Taking taylor expansion of (pow i 2) in beta
22.119 * [taylor]: Taking taylor expansion of i in beta
22.119 * [backup-simplify]: Simplify i into i
22.119 * [taylor]: Taking taylor expansion of beta in beta
22.119 * [backup-simplify]: Simplify 0 into 0
22.119 * [backup-simplify]: Simplify 1 into 1
22.119 * [backup-simplify]: Simplify (* i i) into (pow i 2)
22.119 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
22.119 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
22.120 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
22.120 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
22.120 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
22.120 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
22.120 * [taylor]: Taking taylor expansion of 32.0 in beta
22.120 * [backup-simplify]: Simplify 32.0 into 32.0
22.120 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
22.120 * [taylor]: Taking taylor expansion of i in beta
22.120 * [backup-simplify]: Simplify i into i
22.120 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
22.120 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
22.120 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
22.120 * [taylor]: Taking taylor expansion of 16.0 in beta
22.120 * [backup-simplify]: Simplify 16.0 into 16.0
22.120 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
22.120 * [taylor]: Taking taylor expansion of beta in beta
22.120 * [backup-simplify]: Simplify 0 into 0
22.120 * [backup-simplify]: Simplify 1 into 1
22.121 * [backup-simplify]: Simplify (/ 1 1) into 1
22.121 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
22.121 * [taylor]: Taking taylor expansion of 32.0 in beta
22.121 * [backup-simplify]: Simplify 32.0 into 32.0
22.121 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
22.121 * [taylor]: Taking taylor expansion of (pow i 3) in beta
22.121 * [taylor]: Taking taylor expansion of i in beta
22.121 * [backup-simplify]: Simplify i into i
22.121 * [backup-simplify]: Simplify (* i i) into (pow i 2)
22.121 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
22.121 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
22.122 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
22.124 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
22.124 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
22.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
22.124 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
22.125 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
22.125 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
22.127 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
22.128 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
25.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.547 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
25.548 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
25.548 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
25.548 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
25.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
25.550 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
25.569 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
25.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
25.571 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
25.572 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
25.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.624 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
25.634 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
25.635 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
25.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
25.636 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
25.636 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
25.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.637 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
25.637 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
25.638 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
25.638 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
25.638 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
25.649 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
25.650 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
25.650 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
25.650 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
25.651 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
25.651 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
25.651 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
25.656 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
25.656 * [taylor]: Taking taylor expansion of 48.0 in i
25.656 * [backup-simplify]: Simplify 48.0 into 48.0
25.656 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
25.656 * [taylor]: Taking taylor expansion of (pow i 2) in i
25.657 * [taylor]: Taking taylor expansion of i in i
25.657 * [backup-simplify]: Simplify 0 into 0
25.657 * [backup-simplify]: Simplify 1 into 1
25.657 * [backup-simplify]: Simplify (* 1 1) into 1
25.657 * [backup-simplify]: Simplify (/ 1 1) into 1
25.657 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
25.657 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
25.658 * [taylor]: Taking taylor expansion of 32.0 in i
25.658 * [backup-simplify]: Simplify 32.0 into 32.0
25.658 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
25.658 * [taylor]: Taking taylor expansion of (pow i 3) in i
25.658 * [taylor]: Taking taylor expansion of i in i
25.658 * [backup-simplify]: Simplify 0 into 0
25.658 * [backup-simplify]: Simplify 1 into 1
25.658 * [backup-simplify]: Simplify (* 1 1) into 1
25.658 * [backup-simplify]: Simplify (* 1 1) into 1
25.659 * [backup-simplify]: Simplify (/ 1 1) into 1
25.659 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
25.659 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
25.659 * [taylor]: Taking taylor expansion of 32.0 in i
25.659 * [backup-simplify]: Simplify 32.0 into 32.0
25.659 * [taylor]: Taking taylor expansion of (/ 1 i) in i
25.659 * [taylor]: Taking taylor expansion of i in i
25.659 * [backup-simplify]: Simplify 0 into 0
25.659 * [backup-simplify]: Simplify 1 into 1
25.659 * [backup-simplify]: Simplify (/ 1 1) into 1
25.659 * [taylor]: Taking taylor expansion of 8.0 in i
25.659 * [backup-simplify]: Simplify 8.0 into 8.0
25.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
25.661 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
25.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.664 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
25.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
25.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
25.667 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
25.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
25.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
25.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
25.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.675 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
25.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.676 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
25.677 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
25.677 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
25.678 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
25.678 * [backup-simplify]: Simplify 8.0 into 8.0
25.700 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
25.702 * [backup-simplify]: Simplify (+ (* (/ (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) 1) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
25.702 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
25.702 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
25.702 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
25.702 * [taylor]: Taking taylor expansion of 1.0 in i
25.702 * [backup-simplify]: Simplify 1.0 into 1.0
25.702 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
25.702 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
25.702 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
25.702 * [taylor]: Taking taylor expansion of alpha in i
25.702 * [backup-simplify]: Simplify alpha into alpha
25.702 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
25.706 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
25.706 * [taylor]: Taking taylor expansion of 2.0 in i
25.706 * [backup-simplify]: Simplify 2.0 into 2.0
25.707 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
25.707 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
25.707 * [taylor]: Taking taylor expansion of alpha in i
25.707 * [backup-simplify]: Simplify alpha into alpha
25.707 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
25.707 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
25.707 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
25.707 * [taylor]: Taking taylor expansion of 2.0 in i
25.707 * [backup-simplify]: Simplify 2.0 into 2.0
25.707 * [taylor]: Taking taylor expansion of (/ 1 i) in i
25.707 * [taylor]: Taking taylor expansion of i in i
25.707 * [backup-simplify]: Simplify 0 into 0
25.707 * [backup-simplify]: Simplify 1 into 1
25.708 * [backup-simplify]: Simplify (/ 1 1) into 1
25.708 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
25.708 * [taylor]: Taking taylor expansion of beta in i
25.708 * [backup-simplify]: Simplify beta into beta
25.708 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.708 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
25.708 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
25.708 * [taylor]: Taking taylor expansion of alpha in i
25.708 * [backup-simplify]: Simplify alpha into alpha
25.708 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
25.708 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
25.708 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
25.708 * [taylor]: Taking taylor expansion of 2.0 in i
25.708 * [backup-simplify]: Simplify 2.0 into 2.0
25.708 * [taylor]: Taking taylor expansion of (/ 1 i) in i
25.708 * [taylor]: Taking taylor expansion of i in i
25.708 * [backup-simplify]: Simplify 0 into 0
25.708 * [backup-simplify]: Simplify 1 into 1
25.709 * [backup-simplify]: Simplify (/ 1 1) into 1
25.709 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
25.709 * [taylor]: Taking taylor expansion of beta in i
25.709 * [backup-simplify]: Simplify beta into beta
25.709 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.709 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
25.709 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
25.710 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
25.710 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
25.711 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
25.711 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
25.712 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
25.714 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
25.715 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
25.716 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
25.716 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
25.716 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
25.716 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
25.716 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
25.716 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
25.716 * [taylor]: Taking taylor expansion of 2.0 in i
25.716 * [backup-simplify]: Simplify 2.0 into 2.0
25.716 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
25.716 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
25.717 * [taylor]: Taking taylor expansion of alpha in i
25.717 * [backup-simplify]: Simplify alpha into alpha
25.717 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
25.717 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
25.717 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
25.717 * [taylor]: Taking taylor expansion of 2.0 in i
25.717 * [backup-simplify]: Simplify 2.0 into 2.0
25.717 * [taylor]: Taking taylor expansion of (/ 1 i) in i
25.717 * [taylor]: Taking taylor expansion of i in i
25.717 * [backup-simplify]: Simplify 0 into 0
25.717 * [backup-simplify]: Simplify 1 into 1
25.717 * [backup-simplify]: Simplify (/ 1 1) into 1
25.717 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
25.717 * [taylor]: Taking taylor expansion of beta in i
25.717 * [backup-simplify]: Simplify beta into beta
25.717 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.717 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
25.717 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
25.718 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
25.718 * [taylor]: Taking taylor expansion of alpha in i
25.718 * [backup-simplify]: Simplify alpha into alpha
25.718 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
25.718 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
25.718 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
25.718 * [taylor]: Taking taylor expansion of 2.0 in i
25.718 * [backup-simplify]: Simplify 2.0 into 2.0
25.718 * [taylor]: Taking taylor expansion of (/ 1 i) in i
25.718 * [taylor]: Taking taylor expansion of i in i
25.718 * [backup-simplify]: Simplify 0 into 0
25.718 * [backup-simplify]: Simplify 1 into 1
25.754 * [backup-simplify]: Simplify (/ 1 1) into 1
25.755 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
25.755 * [taylor]: Taking taylor expansion of beta in i
25.755 * [backup-simplify]: Simplify beta into beta
25.755 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.755 * [taylor]: Taking taylor expansion of (pow beta 2) in i
25.755 * [taylor]: Taking taylor expansion of beta in i
25.755 * [backup-simplify]: Simplify beta into beta
25.755 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
25.756 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
25.756 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
25.757 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
25.759 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
25.760 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
25.760 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
25.761 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
25.761 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
25.761 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
25.761 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
25.762 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
25.762 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
25.762 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
25.762 * [taylor]: Taking taylor expansion of 1.0 in beta
25.762 * [backup-simplify]: Simplify 1.0 into 1.0
25.762 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
25.762 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
25.762 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
25.762 * [taylor]: Taking taylor expansion of alpha in beta
25.762 * [backup-simplify]: Simplify alpha into alpha
25.762 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
25.762 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
25.762 * [taylor]: Taking taylor expansion of 2.0 in beta
25.762 * [backup-simplify]: Simplify 2.0 into 2.0
25.762 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
25.762 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
25.762 * [taylor]: Taking taylor expansion of alpha in beta
25.762 * [backup-simplify]: Simplify alpha into alpha
25.762 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
25.763 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
25.763 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
25.763 * [taylor]: Taking taylor expansion of 2.0 in beta
25.763 * [backup-simplify]: Simplify 2.0 into 2.0
25.763 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
25.763 * [taylor]: Taking taylor expansion of i in beta
25.763 * [backup-simplify]: Simplify i into i
25.763 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.763 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
25.763 * [taylor]: Taking taylor expansion of beta in beta
25.763 * [backup-simplify]: Simplify 0 into 0
25.763 * [backup-simplify]: Simplify 1 into 1
25.763 * [backup-simplify]: Simplify (/ 1 1) into 1
25.763 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
25.764 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
25.764 * [taylor]: Taking taylor expansion of alpha in beta
25.764 * [backup-simplify]: Simplify alpha into alpha
25.764 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
25.764 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
25.764 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
25.764 * [taylor]: Taking taylor expansion of 2.0 in beta
25.764 * [backup-simplify]: Simplify 2.0 into 2.0
25.764 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
25.764 * [taylor]: Taking taylor expansion of i in beta
25.764 * [backup-simplify]: Simplify i into i
25.764 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.764 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
25.764 * [taylor]: Taking taylor expansion of beta in beta
25.764 * [backup-simplify]: Simplify 0 into 0
25.764 * [backup-simplify]: Simplify 1 into 1
25.764 * [backup-simplify]: Simplify (/ 1 1) into 1
25.765 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
25.765 * [backup-simplify]: Simplify (+ 0 1) into 1
25.765 * [backup-simplify]: Simplify (+ 0 1) into 1
25.766 * [backup-simplify]: Simplify (- 1) into -1
25.766 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.767 * [backup-simplify]: Simplify (+ 0 1) into 1
25.767 * [backup-simplify]: Simplify (+ 0 1) into 1
25.768 * [backup-simplify]: Simplify (* -1 1) into -1
25.768 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
25.768 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
25.768 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
25.768 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
25.768 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
25.768 * [taylor]: Taking taylor expansion of 2.0 in beta
25.768 * [backup-simplify]: Simplify 2.0 into 2.0
25.768 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
25.768 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
25.768 * [taylor]: Taking taylor expansion of alpha in beta
25.768 * [backup-simplify]: Simplify alpha into alpha
25.768 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
25.768 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
25.768 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
25.769 * [taylor]: Taking taylor expansion of 2.0 in beta
25.769 * [backup-simplify]: Simplify 2.0 into 2.0
25.769 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
25.769 * [taylor]: Taking taylor expansion of i in beta
25.769 * [backup-simplify]: Simplify i into i
25.769 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.769 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
25.769 * [taylor]: Taking taylor expansion of beta in beta
25.769 * [backup-simplify]: Simplify 0 into 0
25.769 * [backup-simplify]: Simplify 1 into 1
25.769 * [backup-simplify]: Simplify (/ 1 1) into 1
25.769 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
25.769 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
25.769 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
25.769 * [taylor]: Taking taylor expansion of alpha in beta
25.769 * [backup-simplify]: Simplify alpha into alpha
25.770 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
25.770 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
25.770 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
25.770 * [taylor]: Taking taylor expansion of 2.0 in beta
25.770 * [backup-simplify]: Simplify 2.0 into 2.0
25.770 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
25.770 * [taylor]: Taking taylor expansion of i in beta
25.770 * [backup-simplify]: Simplify i into i
25.770 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.770 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
25.770 * [taylor]: Taking taylor expansion of beta in beta
25.770 * [backup-simplify]: Simplify 0 into 0
25.770 * [backup-simplify]: Simplify 1 into 1
25.771 * [backup-simplify]: Simplify (/ 1 1) into 1
25.771 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
25.771 * [taylor]: Taking taylor expansion of beta in beta
25.771 * [backup-simplify]: Simplify 0 into 0
25.771 * [backup-simplify]: Simplify 1 into 1
25.771 * [backup-simplify]: Simplify (+ 0 1) into 1
25.772 * [backup-simplify]: Simplify (+ 0 1) into 1
25.772 * [backup-simplify]: Simplify (- 1) into -1
25.772 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.773 * [backup-simplify]: Simplify (+ 0 1) into 1
25.773 * [backup-simplify]: Simplify (+ 0 1) into 1
25.774 * [backup-simplify]: Simplify (* 1 1) into 1
25.774 * [backup-simplify]: Simplify (* 1 1) into 1
25.775 * [backup-simplify]: Simplify (* -1 1) into -1
25.775 * [backup-simplify]: Simplify (/ 1 -1) into -1
25.775 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
25.775 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
25.775 * [taylor]: Taking taylor expansion of 1.0 in alpha
25.775 * [backup-simplify]: Simplify 1.0 into 1.0
25.775 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
25.775 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
25.775 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
25.775 * [taylor]: Taking taylor expansion of alpha in alpha
25.775 * [backup-simplify]: Simplify 0 into 0
25.775 * [backup-simplify]: Simplify 1 into 1
25.776 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
25.776 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
25.776 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.776 * [backup-simplify]: Simplify 2.0 into 2.0
25.776 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
25.776 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
25.776 * [taylor]: Taking taylor expansion of alpha in alpha
25.776 * [backup-simplify]: Simplify 0 into 0
25.776 * [backup-simplify]: Simplify 1 into 1
25.776 * [backup-simplify]: Simplify (/ 1 1) into 1
25.776 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
25.776 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
25.776 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.776 * [backup-simplify]: Simplify 2.0 into 2.0
25.776 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
25.776 * [taylor]: Taking taylor expansion of i in alpha
25.776 * [backup-simplify]: Simplify i into i
25.776 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.777 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
25.777 * [taylor]: Taking taylor expansion of beta in alpha
25.777 * [backup-simplify]: Simplify beta into beta
25.777 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.777 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
25.777 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
25.777 * [taylor]: Taking taylor expansion of alpha in alpha
25.777 * [backup-simplify]: Simplify 0 into 0
25.777 * [backup-simplify]: Simplify 1 into 1
25.777 * [backup-simplify]: Simplify (/ 1 1) into 1
25.777 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
25.777 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
25.777 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.777 * [backup-simplify]: Simplify 2.0 into 2.0
25.777 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
25.777 * [taylor]: Taking taylor expansion of i in alpha
25.777 * [backup-simplify]: Simplify i into i
25.777 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.778 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
25.778 * [taylor]: Taking taylor expansion of beta in alpha
25.778 * [backup-simplify]: Simplify beta into beta
25.778 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.778 * [backup-simplify]: Simplify (* 1 1) into 1
25.779 * [backup-simplify]: Simplify (+ 1 0) into 1
25.783 * [backup-simplify]: Simplify (- 1) into -1
25.784 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.785 * [backup-simplify]: Simplify (+ 1 0) into 1
25.785 * [backup-simplify]: Simplify (* -1 1) into -1
25.786 * [backup-simplify]: Simplify (* 1 -1) into -1
25.786 * [backup-simplify]: Simplify (/ 1 -1) into -1
25.786 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
25.786 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
25.786 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
25.786 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.786 * [backup-simplify]: Simplify 2.0 into 2.0
25.786 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
25.786 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
25.786 * [taylor]: Taking taylor expansion of alpha in alpha
25.786 * [backup-simplify]: Simplify 0 into 0
25.786 * [backup-simplify]: Simplify 1 into 1
25.787 * [backup-simplify]: Simplify (/ 1 1) into 1
25.787 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
25.787 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
25.787 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.787 * [backup-simplify]: Simplify 2.0 into 2.0
25.787 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
25.787 * [taylor]: Taking taylor expansion of i in alpha
25.787 * [backup-simplify]: Simplify i into i
25.787 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.787 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
25.787 * [taylor]: Taking taylor expansion of beta in alpha
25.787 * [backup-simplify]: Simplify beta into beta
25.787 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.787 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
25.787 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
25.787 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
25.787 * [taylor]: Taking taylor expansion of alpha in alpha
25.787 * [backup-simplify]: Simplify 0 into 0
25.787 * [backup-simplify]: Simplify 1 into 1
25.788 * [backup-simplify]: Simplify (/ 1 1) into 1
25.788 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
25.788 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
25.788 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.788 * [backup-simplify]: Simplify 2.0 into 2.0
25.788 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
25.788 * [taylor]: Taking taylor expansion of i in alpha
25.788 * [backup-simplify]: Simplify i into i
25.788 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.788 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
25.788 * [taylor]: Taking taylor expansion of beta in alpha
25.788 * [backup-simplify]: Simplify beta into beta
25.788 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.788 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
25.788 * [taylor]: Taking taylor expansion of beta in alpha
25.788 * [backup-simplify]: Simplify beta into beta
25.789 * [backup-simplify]: Simplify (+ 1 0) into 1
25.789 * [backup-simplify]: Simplify (- 1) into -1
25.797 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.798 * [backup-simplify]: Simplify (+ 1 0) into 1
25.798 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
25.798 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
25.798 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
25.798 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
25.798 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
25.798 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
25.798 * [taylor]: Taking taylor expansion of 1.0 in alpha
25.798 * [backup-simplify]: Simplify 1.0 into 1.0
25.798 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
25.798 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
25.799 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
25.799 * [taylor]: Taking taylor expansion of alpha in alpha
25.799 * [backup-simplify]: Simplify 0 into 0
25.799 * [backup-simplify]: Simplify 1 into 1
25.799 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
25.799 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
25.799 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.799 * [backup-simplify]: Simplify 2.0 into 2.0
25.799 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
25.799 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
25.799 * [taylor]: Taking taylor expansion of alpha in alpha
25.799 * [backup-simplify]: Simplify 0 into 0
25.799 * [backup-simplify]: Simplify 1 into 1
25.799 * [backup-simplify]: Simplify (/ 1 1) into 1
25.800 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
25.800 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
25.800 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.800 * [backup-simplify]: Simplify 2.0 into 2.0
25.800 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
25.800 * [taylor]: Taking taylor expansion of i in alpha
25.800 * [backup-simplify]: Simplify i into i
25.800 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.800 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
25.800 * [taylor]: Taking taylor expansion of beta in alpha
25.800 * [backup-simplify]: Simplify beta into beta
25.800 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.800 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
25.800 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
25.800 * [taylor]: Taking taylor expansion of alpha in alpha
25.800 * [backup-simplify]: Simplify 0 into 0
25.800 * [backup-simplify]: Simplify 1 into 1
25.801 * [backup-simplify]: Simplify (/ 1 1) into 1
25.801 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
25.801 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
25.801 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.801 * [backup-simplify]: Simplify 2.0 into 2.0
25.801 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
25.801 * [taylor]: Taking taylor expansion of i in alpha
25.801 * [backup-simplify]: Simplify i into i
25.801 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.801 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
25.801 * [taylor]: Taking taylor expansion of beta in alpha
25.801 * [backup-simplify]: Simplify beta into beta
25.801 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.801 * [backup-simplify]: Simplify (* 1 1) into 1
25.802 * [backup-simplify]: Simplify (+ 1 0) into 1
25.802 * [backup-simplify]: Simplify (- 1) into -1
25.802 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.803 * [backup-simplify]: Simplify (+ 1 0) into 1
25.803 * [backup-simplify]: Simplify (* -1 1) into -1
25.804 * [backup-simplify]: Simplify (* 1 -1) into -1
25.804 * [backup-simplify]: Simplify (/ 1 -1) into -1
25.804 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
25.804 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
25.804 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
25.804 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.804 * [backup-simplify]: Simplify 2.0 into 2.0
25.804 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
25.804 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
25.804 * [taylor]: Taking taylor expansion of alpha in alpha
25.804 * [backup-simplify]: Simplify 0 into 0
25.804 * [backup-simplify]: Simplify 1 into 1
25.805 * [backup-simplify]: Simplify (/ 1 1) into 1
25.805 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
25.805 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
25.805 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.805 * [backup-simplify]: Simplify 2.0 into 2.0
25.805 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
25.805 * [taylor]: Taking taylor expansion of i in alpha
25.805 * [backup-simplify]: Simplify i into i
25.805 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.805 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
25.805 * [taylor]: Taking taylor expansion of beta in alpha
25.805 * [backup-simplify]: Simplify beta into beta
25.805 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.805 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
25.805 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
25.805 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
25.805 * [taylor]: Taking taylor expansion of alpha in alpha
25.805 * [backup-simplify]: Simplify 0 into 0
25.805 * [backup-simplify]: Simplify 1 into 1
25.806 * [backup-simplify]: Simplify (/ 1 1) into 1
25.806 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
25.806 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
25.806 * [taylor]: Taking taylor expansion of 2.0 in alpha
25.806 * [backup-simplify]: Simplify 2.0 into 2.0
25.806 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
25.806 * [taylor]: Taking taylor expansion of i in alpha
25.806 * [backup-simplify]: Simplify i into i
25.806 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.806 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
25.806 * [taylor]: Taking taylor expansion of beta in alpha
25.806 * [backup-simplify]: Simplify beta into beta
25.806 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
25.806 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
25.806 * [taylor]: Taking taylor expansion of beta in alpha
25.806 * [backup-simplify]: Simplify beta into beta
25.807 * [backup-simplify]: Simplify (+ 1 0) into 1
25.807 * [backup-simplify]: Simplify (- 1) into -1
25.807 * [backup-simplify]: Simplify (+ 0 -1) into -1
25.808 * [backup-simplify]: Simplify (+ 1 0) into 1
25.808 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
25.808 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
25.808 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
25.808 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
25.809 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
25.809 * [backup-simplify]: Simplify (+ 0 0) into 0
25.809 * [taylor]: Taking taylor expansion of 0 in beta
25.809 * [backup-simplify]: Simplify 0 into 0
25.809 * [taylor]: Taking taylor expansion of 0 in i
25.810 * [backup-simplify]: Simplify 0 into 0
25.810 * [backup-simplify]: Simplify 0 into 0
25.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.811 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
25.811 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
25.811 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
25.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.815 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
25.815 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
25.815 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
25.815 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
25.815 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
25.816 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
25.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
25.818 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
25.818 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
25.818 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
25.819 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
25.819 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
25.819 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
25.819 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
25.819 * [taylor]: Taking taylor expansion of 4.0 in beta
25.819 * [backup-simplify]: Simplify 4.0 into 4.0
25.819 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
25.819 * [taylor]: Taking taylor expansion of i in beta
25.819 * [backup-simplify]: Simplify i into i
25.819 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.819 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
25.819 * [taylor]: Taking taylor expansion of 2 in beta
25.819 * [backup-simplify]: Simplify 2 into 2
25.819 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
25.819 * [taylor]: Taking taylor expansion of beta in beta
25.819 * [backup-simplify]: Simplify 0 into 0
25.819 * [backup-simplify]: Simplify 1 into 1
25.820 * [backup-simplify]: Simplify (/ 1 1) into 1
25.820 * [taylor]: Taking taylor expansion of 2.0 in beta
25.820 * [backup-simplify]: Simplify 2.0 into 2.0
25.820 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
25.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.822 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
25.822 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
25.823 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
25.823 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
25.823 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
25.823 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
25.823 * [taylor]: Taking taylor expansion of 4.0 in i
25.823 * [backup-simplify]: Simplify 4.0 into 4.0
25.823 * [taylor]: Taking taylor expansion of (/ 1 i) in i
25.823 * [taylor]: Taking taylor expansion of i in i
25.823 * [backup-simplify]: Simplify 0 into 0
25.823 * [backup-simplify]: Simplify 1 into 1
25.824 * [backup-simplify]: Simplify (/ 1 1) into 1
25.824 * [taylor]: Taking taylor expansion of 2.0 in i
25.824 * [backup-simplify]: Simplify 2.0 into 2.0
25.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.825 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
25.826 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
25.827 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
25.827 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
25.827 * [taylor]: Taking taylor expansion of 0 in i
25.827 * [backup-simplify]: Simplify 0 into 0
25.827 * [backup-simplify]: Simplify 0 into 0
25.827 * [backup-simplify]: Simplify 0 into 0
25.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
25.829 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
25.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
25.830 * [backup-simplify]: Simplify (+ 0 0) into 0
25.830 * [backup-simplify]: Simplify (+ 0 0) into 0
25.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
25.832 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
25.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
25.832 * [backup-simplify]: Simplify (+ 0 0) into 0
25.832 * [backup-simplify]: Simplify (+ 0 0) into 0
25.833 * [backup-simplify]: Simplify (- 0) into 0
25.833 * [backup-simplify]: Simplify (+ 0 0) into 0
25.835 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
25.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
25.838 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
25.840 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
25.842 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
25.842 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
25.843 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
25.843 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
25.843 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
25.844 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
25.844 * [taylor]: Taking taylor expansion of 12.0 in beta
25.844 * [backup-simplify]: Simplify 12.0 into 12.0
25.844 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
25.844 * [taylor]: Taking taylor expansion of i in beta
25.844 * [backup-simplify]: Simplify i into i
25.844 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.844 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
25.844 * [taylor]: Taking taylor expansion of 6.0 in beta
25.844 * [backup-simplify]: Simplify 6.0 into 6.0
25.844 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
25.844 * [taylor]: Taking taylor expansion of beta in beta
25.844 * [backup-simplify]: Simplify 0 into 0
25.844 * [backup-simplify]: Simplify 1 into 1
25.845 * [backup-simplify]: Simplify (/ 1 1) into 1
25.845 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
25.845 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
25.845 * [taylor]: Taking taylor expansion of 12.0 in beta
25.845 * [backup-simplify]: Simplify 12.0 into 12.0
25.845 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
25.845 * [taylor]: Taking taylor expansion of (pow i 2) in beta
25.845 * [taylor]: Taking taylor expansion of i in beta
25.845 * [backup-simplify]: Simplify i into i
25.845 * [backup-simplify]: Simplify (* i i) into (pow i 2)
25.845 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
25.845 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
25.845 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
25.845 * [taylor]: Taking taylor expansion of 12.0 in beta
25.845 * [backup-simplify]: Simplify 12.0 into 12.0
25.845 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
25.846 * [taylor]: Taking taylor expansion of (* i beta) in beta
25.846 * [taylor]: Taking taylor expansion of i in beta
25.846 * [backup-simplify]: Simplify i into i
25.846 * [taylor]: Taking taylor expansion of beta in beta
25.846 * [backup-simplify]: Simplify 0 into 0
25.846 * [backup-simplify]: Simplify 1 into 1
25.846 * [backup-simplify]: Simplify (* i 0) into 0
25.846 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
25.847 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
25.847 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
25.847 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
25.847 * [taylor]: Taking taylor expansion of 2 in beta
25.847 * [backup-simplify]: Simplify 2 into 2
25.847 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
25.847 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
25.847 * [taylor]: Taking taylor expansion of beta in beta
25.847 * [backup-simplify]: Simplify 0 into 0
25.847 * [backup-simplify]: Simplify 1 into 1
25.848 * [backup-simplify]: Simplify (* 1 1) into 1
25.848 * [backup-simplify]: Simplify (/ 1 1) into 1
25.848 * [taylor]: Taking taylor expansion of 4.0 in beta
25.848 * [backup-simplify]: Simplify 4.0 into 4.0
25.848 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
25.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.850 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
25.850 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
25.850 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
25.851 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
25.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
25.852 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
25.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
25.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
25.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.856 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
25.857 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
25.857 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
25.858 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
25.858 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
25.858 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
25.858 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
25.858 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
25.858 * [taylor]: Taking taylor expansion of 12.0 in i
25.858 * [backup-simplify]: Simplify 12.0 into 12.0
25.859 * [taylor]: Taking taylor expansion of (/ 1 i) in i
25.859 * [taylor]: Taking taylor expansion of i in i
25.859 * [backup-simplify]: Simplify 0 into 0
25.859 * [backup-simplify]: Simplify 1 into 1
25.859 * [backup-simplify]: Simplify (/ 1 1) into 1
25.859 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
25.859 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
25.859 * [taylor]: Taking taylor expansion of 12.0 in i
25.859 * [backup-simplify]: Simplify 12.0 into 12.0
25.860 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
25.860 * [taylor]: Taking taylor expansion of (pow i 2) in i
25.860 * [taylor]: Taking taylor expansion of i in i
25.860 * [backup-simplify]: Simplify 0 into 0
25.860 * [backup-simplify]: Simplify 1 into 1
25.860 * [backup-simplify]: Simplify (* 1 1) into 1
25.861 * [backup-simplify]: Simplify (/ 1 1) into 1
25.861 * [taylor]: Taking taylor expansion of 4.0 in i
25.861 * [backup-simplify]: Simplify 4.0 into 4.0
25.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.862 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
25.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
25.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
25.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
25.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.878 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
25.878 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
25.879 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
25.880 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
25.880 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
25.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
25.881 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
25.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.883 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
25.884 * [backup-simplify]: Simplify (+ 0 0) into 0
25.884 * [backup-simplify]: Simplify (- 0) into 0
25.889 * [backup-simplify]: Simplify (+ 0 0) into 0
25.889 * [taylor]: Taking taylor expansion of 0 in i
25.889 * [backup-simplify]: Simplify 0 into 0
25.889 * [backup-simplify]: Simplify 0 into 0
25.889 * [taylor]: Taking taylor expansion of 0 in i
25.890 * [backup-simplify]: Simplify 0 into 0
25.890 * [backup-simplify]: Simplify 0 into 0
25.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
25.892 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
25.893 * [backup-simplify]: Simplify (- 0) into 0
25.893 * [backup-simplify]: Simplify (+ 0 0) into 0
25.893 * [backup-simplify]: Simplify 0 into 0
25.893 * [backup-simplify]: Simplify 0 into 0
25.893 * [backup-simplify]: Simplify 0 into 0
26.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
26.085 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
26.086 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
26.086 * [backup-simplify]: Simplify (+ 0 0) into 0
26.086 * [backup-simplify]: Simplify (+ 0 0) into 0
26.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
26.088 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
26.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
26.089 * [backup-simplify]: Simplify (+ 0 0) into 0
26.089 * [backup-simplify]: Simplify (+ 0 0) into 0
26.089 * [backup-simplify]: Simplify (- 0) into 0
26.090 * [backup-simplify]: Simplify (+ 0 0) into 0
26.093 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
26.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.096 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
26.102 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
26.104 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
26.105 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
26.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.106 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
26.106 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
26.106 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
26.107 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
26.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.108 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
26.108 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
26.108 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
26.109 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
26.109 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
26.110 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
26.111 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
26.112 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
26.116 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
26.116 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
26.116 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
26.117 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
26.117 * [taylor]: Taking taylor expansion of 20.0 in beta
26.117 * [backup-simplify]: Simplify 20.0 into 20.0
26.117 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
26.117 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
26.117 * [taylor]: Taking taylor expansion of i in beta
26.117 * [backup-simplify]: Simplify i into i
26.117 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
26.117 * [taylor]: Taking taylor expansion of beta in beta
26.117 * [backup-simplify]: Simplify 0 into 0
26.117 * [backup-simplify]: Simplify 1 into 1
26.118 * [backup-simplify]: Simplify (* 1 1) into 1
26.118 * [backup-simplify]: Simplify (* i 1) into i
26.118 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.118 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
26.118 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
26.118 * [taylor]: Taking taylor expansion of 2 in beta
26.118 * [backup-simplify]: Simplify 2 into 2
26.118 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
26.118 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
26.118 * [taylor]: Taking taylor expansion of beta in beta
26.118 * [backup-simplify]: Simplify 0 into 0
26.118 * [backup-simplify]: Simplify 1 into 1
26.119 * [backup-simplify]: Simplify (* 1 1) into 1
26.119 * [backup-simplify]: Simplify (* 1 1) into 1
26.120 * [backup-simplify]: Simplify (/ 1 1) into 1
26.120 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
26.120 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
26.120 * [taylor]: Taking taylor expansion of 48.0 in beta
26.120 * [backup-simplify]: Simplify 48.0 into 48.0
26.120 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
26.120 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
26.120 * [taylor]: Taking taylor expansion of (pow i 2) in beta
26.120 * [taylor]: Taking taylor expansion of i in beta
26.120 * [backup-simplify]: Simplify i into i
26.120 * [taylor]: Taking taylor expansion of beta in beta
26.120 * [backup-simplify]: Simplify 0 into 0
26.120 * [backup-simplify]: Simplify 1 into 1
26.120 * [backup-simplify]: Simplify (* i i) into (pow i 2)
26.120 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
26.120 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
26.121 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
26.121 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
26.121 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
26.121 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
26.121 * [taylor]: Taking taylor expansion of 32.0 in beta
26.121 * [backup-simplify]: Simplify 32.0 into 32.0
26.121 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
26.121 * [taylor]: Taking taylor expansion of i in beta
26.121 * [backup-simplify]: Simplify i into i
26.121 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.121 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
26.122 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
26.122 * [taylor]: Taking taylor expansion of 16.0 in beta
26.122 * [backup-simplify]: Simplify 16.0 into 16.0
26.122 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.122 * [taylor]: Taking taylor expansion of beta in beta
26.122 * [backup-simplify]: Simplify 0 into 0
26.122 * [backup-simplify]: Simplify 1 into 1
26.122 * [backup-simplify]: Simplify (/ 1 1) into 1
26.122 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
26.122 * [taylor]: Taking taylor expansion of 32.0 in beta
26.122 * [backup-simplify]: Simplify 32.0 into 32.0
26.122 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
26.122 * [taylor]: Taking taylor expansion of (pow i 3) in beta
26.122 * [taylor]: Taking taylor expansion of i in beta
26.122 * [backup-simplify]: Simplify i into i
26.122 * [backup-simplify]: Simplify (* i i) into (pow i 2)
26.123 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
26.123 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
26.123 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
26.123 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
26.123 * [taylor]: Taking taylor expansion of 10.0 in beta
26.123 * [backup-simplify]: Simplify 10.0 into 10.0
26.123 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
26.123 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
26.123 * [taylor]: Taking taylor expansion of beta in beta
26.123 * [backup-simplify]: Simplify 0 into 0
26.123 * [backup-simplify]: Simplify 1 into 1
26.123 * [backup-simplify]: Simplify (* 1 1) into 1
26.124 * [backup-simplify]: Simplify (/ 1 1) into 1
26.124 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
26.124 * [taylor]: Taking taylor expansion of 8.0 in beta
26.124 * [backup-simplify]: Simplify 8.0 into 8.0
26.124 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
26.124 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
26.124 * [taylor]: Taking taylor expansion of 48.0 in beta
26.124 * [backup-simplify]: Simplify 48.0 into 48.0
26.124 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
26.124 * [taylor]: Taking taylor expansion of (pow i 2) in beta
26.124 * [taylor]: Taking taylor expansion of i in beta
26.124 * [backup-simplify]: Simplify i into i
26.124 * [backup-simplify]: Simplify (* i i) into (pow i 2)
26.124 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
26.124 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
26.125 * [taylor]: Taking taylor expansion of 48.0 in beta
26.125 * [backup-simplify]: Simplify 48.0 into 48.0
26.125 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
26.125 * [taylor]: Taking taylor expansion of (* i beta) in beta
26.125 * [taylor]: Taking taylor expansion of i in beta
26.125 * [backup-simplify]: Simplify i into i
26.125 * [taylor]: Taking taylor expansion of beta in beta
26.125 * [backup-simplify]: Simplify 0 into 0
26.125 * [backup-simplify]: Simplify 1 into 1
26.125 * [backup-simplify]: Simplify (* i 0) into 0
26.125 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
26.125 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.128 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
26.128 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
26.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
26.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
26.133 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
26.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.136 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.140 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.143 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.144 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
26.144 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
26.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
26.145 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
26.145 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
26.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.147 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
26.147 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
26.147 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
26.148 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
26.148 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
26.149 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
26.149 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
26.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.153 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
26.154 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
26.156 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
26.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
26.156 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
26.157 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
26.157 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
26.157 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
26.157 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
26.158 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
26.158 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
26.158 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
26.158 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
26.158 * [taylor]: Taking taylor expansion of 32.0 in i
26.158 * [backup-simplify]: Simplify 32.0 into 32.0
26.158 * [taylor]: Taking taylor expansion of (/ 1 i) in i
26.158 * [taylor]: Taking taylor expansion of i in i
26.158 * [backup-simplify]: Simplify 0 into 0
26.158 * [backup-simplify]: Simplify 1 into 1
26.159 * [backup-simplify]: Simplify (/ 1 1) into 1
26.159 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
26.159 * [taylor]: Taking taylor expansion of 32.0 in i
26.159 * [backup-simplify]: Simplify 32.0 into 32.0
26.159 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
26.159 * [taylor]: Taking taylor expansion of (pow i 3) in i
26.159 * [taylor]: Taking taylor expansion of i in i
26.159 * [backup-simplify]: Simplify 0 into 0
26.159 * [backup-simplify]: Simplify 1 into 1
26.160 * [backup-simplify]: Simplify (* 1 1) into 1
26.160 * [backup-simplify]: Simplify (* 1 1) into 1
26.160 * [backup-simplify]: Simplify (/ 1 1) into 1
26.160 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
26.161 * [taylor]: Taking taylor expansion of 8.0 in i
26.161 * [backup-simplify]: Simplify 8.0 into 8.0
26.161 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
26.161 * [taylor]: Taking taylor expansion of 48.0 in i
26.161 * [backup-simplify]: Simplify 48.0 into 48.0
26.161 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
26.161 * [taylor]: Taking taylor expansion of (pow i 2) in i
26.161 * [taylor]: Taking taylor expansion of i in i
26.161 * [backup-simplify]: Simplify 0 into 0
26.161 * [backup-simplify]: Simplify 1 into 1
26.161 * [backup-simplify]: Simplify (* 1 1) into 1
26.162 * [backup-simplify]: Simplify (/ 1 1) into 1
26.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.163 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
26.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.173 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
26.173 * [backup-simplify]: Simplify (+ 0 0) into 0
26.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.178 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
26.178 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
26.179 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
26.180 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
26.180 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
26.182 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
26.182 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2)
26.183 * [backup-simplify]: Simplify (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) into (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
26.183 * [approximate]: Taking taylor expansion of (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (beta alpha i) around 0
26.183 * [taylor]: Taking taylor expansion of (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
26.183 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in i
26.183 * [taylor]: Taking taylor expansion of (- beta alpha) in i
26.183 * [taylor]: Taking taylor expansion of beta in i
26.183 * [backup-simplify]: Simplify beta into beta
26.183 * [taylor]: Taking taylor expansion of alpha in i
26.183 * [backup-simplify]: Simplify alpha into alpha
26.183 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
26.183 * [taylor]: Taking taylor expansion of alpha in i
26.183 * [backup-simplify]: Simplify alpha into alpha
26.183 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
26.183 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
26.183 * [taylor]: Taking taylor expansion of 2.0 in i
26.183 * [backup-simplify]: Simplify 2.0 into 2.0
26.183 * [taylor]: Taking taylor expansion of i in i
26.184 * [backup-simplify]: Simplify 0 into 0
26.184 * [backup-simplify]: Simplify 1 into 1
26.184 * [taylor]: Taking taylor expansion of beta in i
26.184 * [backup-simplify]: Simplify beta into beta
26.184 * [backup-simplify]: Simplify (- alpha) into (- alpha)
26.184 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
26.184 * [backup-simplify]: Simplify (* 2.0 0) into 0
26.184 * [backup-simplify]: Simplify (+ 0 beta) into beta
26.184 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
26.184 * [backup-simplify]: Simplify (/ (- beta alpha) (+ alpha beta)) into (/ (- beta alpha) (+ alpha beta))
26.185 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
26.185 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
26.185 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
26.185 * [taylor]: Taking taylor expansion of alpha in i
26.185 * [backup-simplify]: Simplify alpha into alpha
26.185 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
26.185 * [taylor]: Taking taylor expansion of 2.0 in i
26.185 * [backup-simplify]: Simplify 2.0 into 2.0
26.185 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
26.185 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
26.185 * [taylor]: Taking taylor expansion of 2.0 in i
26.185 * [backup-simplify]: Simplify 2.0 into 2.0
26.185 * [taylor]: Taking taylor expansion of i in i
26.185 * [backup-simplify]: Simplify 0 into 0
26.185 * [backup-simplify]: Simplify 1 into 1
26.185 * [taylor]: Taking taylor expansion of beta in i
26.185 * [backup-simplify]: Simplify beta into beta
26.185 * [backup-simplify]: Simplify (* 2.0 0) into 0
26.186 * [backup-simplify]: Simplify (+ 0 beta) into beta
26.186 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
26.186 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
26.186 * [backup-simplify]: Simplify (/ 1 (+ alpha (+ beta 2.0))) into (/ 1 (+ alpha (+ beta 2.0)))
26.186 * [backup-simplify]: Simplify (sqrt (/ 1 (+ alpha (+ beta 2.0)))) into (sqrt (/ 1 (+ alpha (+ beta 2.0))))
26.188 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
26.188 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
26.189 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.189 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ alpha (+ beta 2.0))) (/ 2.0 (+ alpha (+ beta 2.0)))))) into (- (* 2.0 (/ 1 (pow (+ alpha (+ beta 2.0)) 2))))
26.191 * [backup-simplify]: Simplify (/ (- (* 2.0 (/ 1 (pow (+ alpha (+ beta 2.0)) 2)))) (* 2 (sqrt (/ 1 (+ alpha (+ beta 2.0)))))) into (* -1.0 (sqrt (/ 1 (pow (+ alpha (+ beta 2.0)) 3))))
26.191 * [taylor]: Taking taylor expansion of (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
26.191 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in alpha
26.191 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
26.191 * [taylor]: Taking taylor expansion of beta in alpha
26.191 * [backup-simplify]: Simplify beta into beta
26.191 * [taylor]: Taking taylor expansion of alpha in alpha
26.191 * [backup-simplify]: Simplify 0 into 0
26.191 * [backup-simplify]: Simplify 1 into 1
26.191 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
26.191 * [taylor]: Taking taylor expansion of alpha in alpha
26.191 * [backup-simplify]: Simplify 0 into 0
26.191 * [backup-simplify]: Simplify 1 into 1
26.191 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
26.191 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.191 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.191 * [backup-simplify]: Simplify 2.0 into 2.0
26.191 * [taylor]: Taking taylor expansion of i in alpha
26.192 * [backup-simplify]: Simplify i into i
26.192 * [taylor]: Taking taylor expansion of beta in alpha
26.192 * [backup-simplify]: Simplify beta into beta
26.192 * [backup-simplify]: Simplify (- 0) into 0
26.192 * [backup-simplify]: Simplify (+ beta 0) into beta
26.192 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.192 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
26.192 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
26.193 * [backup-simplify]: Simplify (/ beta (+ (* 2.0 i) beta)) into (/ beta (+ (* 2.0 i) beta))
26.193 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
26.193 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
26.193 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
26.193 * [taylor]: Taking taylor expansion of alpha in alpha
26.193 * [backup-simplify]: Simplify 0 into 0
26.193 * [backup-simplify]: Simplify 1 into 1
26.193 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
26.193 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.193 * [backup-simplify]: Simplify 2.0 into 2.0
26.193 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
26.193 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.193 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.193 * [backup-simplify]: Simplify 2.0 into 2.0
26.193 * [taylor]: Taking taylor expansion of i in alpha
26.193 * [backup-simplify]: Simplify i into i
26.193 * [taylor]: Taking taylor expansion of beta in alpha
26.193 * [backup-simplify]: Simplify beta into beta
26.193 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.193 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
26.193 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
26.194 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
26.194 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) (+ beta 2.0))) into (/ 1 (+ (* 2.0 i) (+ beta 2.0)))
26.194 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))) into (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0))))
26.195 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.195 * [backup-simplify]: Simplify (+ 0 0) into 0
26.196 * [backup-simplify]: Simplify (+ 0 0) into 0
26.196 * [backup-simplify]: Simplify (+ 1 0) into 1
26.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) (+ beta 2.0))) (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (- (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))
26.197 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))
26.197 * [taylor]: Taking taylor expansion of (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
26.197 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in beta
26.197 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
26.197 * [taylor]: Taking taylor expansion of beta in beta
26.197 * [backup-simplify]: Simplify 0 into 0
26.197 * [backup-simplify]: Simplify 1 into 1
26.197 * [taylor]: Taking taylor expansion of alpha in beta
26.197 * [backup-simplify]: Simplify alpha into alpha
26.197 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
26.198 * [taylor]: Taking taylor expansion of alpha in beta
26.198 * [backup-simplify]: Simplify alpha into alpha
26.198 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
26.198 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
26.198 * [taylor]: Taking taylor expansion of 2.0 in beta
26.198 * [backup-simplify]: Simplify 2.0 into 2.0
26.198 * [taylor]: Taking taylor expansion of i in beta
26.198 * [backup-simplify]: Simplify i into i
26.198 * [taylor]: Taking taylor expansion of beta in beta
26.198 * [backup-simplify]: Simplify 0 into 0
26.198 * [backup-simplify]: Simplify 1 into 1
26.198 * [backup-simplify]: Simplify (- alpha) into (- alpha)
26.198 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
26.198 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.198 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
26.198 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
26.199 * [backup-simplify]: Simplify (/ (- alpha) (+ alpha (* 2.0 i))) into (* -1 (/ alpha (+ alpha (* 2.0 i))))
26.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
26.199 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
26.199 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
26.199 * [taylor]: Taking taylor expansion of alpha in beta
26.199 * [backup-simplify]: Simplify alpha into alpha
26.199 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
26.199 * [taylor]: Taking taylor expansion of 2.0 in beta
26.199 * [backup-simplify]: Simplify 2.0 into 2.0
26.199 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
26.199 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
26.199 * [taylor]: Taking taylor expansion of 2.0 in beta
26.199 * [backup-simplify]: Simplify 2.0 into 2.0
26.199 * [taylor]: Taking taylor expansion of i in beta
26.199 * [backup-simplify]: Simplify i into i
26.199 * [taylor]: Taking taylor expansion of beta in beta
26.199 * [backup-simplify]: Simplify 0 into 0
26.199 * [backup-simplify]: Simplify 1 into 1
26.199 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.199 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
26.199 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
26.199 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
26.200 * [backup-simplify]: Simplify (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) into (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))
26.200 * [backup-simplify]: Simplify (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))
26.200 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.201 * [backup-simplify]: Simplify (+ 0 1) into 1
26.201 * [backup-simplify]: Simplify (+ 0 1) into 1
26.202 * [backup-simplify]: Simplify (+ 0 1) into 1
26.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))
26.203 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (* 2 (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))
26.203 * [taylor]: Taking taylor expansion of (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
26.203 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in beta
26.203 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
26.203 * [taylor]: Taking taylor expansion of beta in beta
26.203 * [backup-simplify]: Simplify 0 into 0
26.203 * [backup-simplify]: Simplify 1 into 1
26.203 * [taylor]: Taking taylor expansion of alpha in beta
26.203 * [backup-simplify]: Simplify alpha into alpha
26.203 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
26.203 * [taylor]: Taking taylor expansion of alpha in beta
26.203 * [backup-simplify]: Simplify alpha into alpha
26.203 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
26.204 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
26.204 * [taylor]: Taking taylor expansion of 2.0 in beta
26.204 * [backup-simplify]: Simplify 2.0 into 2.0
26.204 * [taylor]: Taking taylor expansion of i in beta
26.204 * [backup-simplify]: Simplify i into i
26.204 * [taylor]: Taking taylor expansion of beta in beta
26.204 * [backup-simplify]: Simplify 0 into 0
26.204 * [backup-simplify]: Simplify 1 into 1
26.204 * [backup-simplify]: Simplify (- alpha) into (- alpha)
26.204 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
26.204 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.204 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
26.204 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
26.204 * [backup-simplify]: Simplify (/ (- alpha) (+ alpha (* 2.0 i))) into (* -1 (/ alpha (+ alpha (* 2.0 i))))
26.204 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
26.204 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
26.204 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
26.204 * [taylor]: Taking taylor expansion of alpha in beta
26.204 * [backup-simplify]: Simplify alpha into alpha
26.204 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
26.204 * [taylor]: Taking taylor expansion of 2.0 in beta
26.205 * [backup-simplify]: Simplify 2.0 into 2.0
26.205 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
26.205 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
26.205 * [taylor]: Taking taylor expansion of 2.0 in beta
26.205 * [backup-simplify]: Simplify 2.0 into 2.0
26.205 * [taylor]: Taking taylor expansion of i in beta
26.205 * [backup-simplify]: Simplify i into i
26.205 * [taylor]: Taking taylor expansion of beta in beta
26.205 * [backup-simplify]: Simplify 0 into 0
26.205 * [backup-simplify]: Simplify 1 into 1
26.205 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.205 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
26.205 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
26.205 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
26.205 * [backup-simplify]: Simplify (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) into (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))
26.206 * [backup-simplify]: Simplify (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))
26.206 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.207 * [backup-simplify]: Simplify (+ 0 1) into 1
26.208 * [backup-simplify]: Simplify (+ 0 1) into 1
26.208 * [backup-simplify]: Simplify (+ 0 1) into 1
26.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))
26.209 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (* 2 (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))
26.210 * [backup-simplify]: Simplify (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))) into (* -1 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))))
26.210 * [taylor]: Taking taylor expansion of (* -1 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) in alpha
26.210 * [taylor]: Taking taylor expansion of -1 in alpha
26.210 * [backup-simplify]: Simplify -1 into -1
26.210 * [taylor]: Taking taylor expansion of (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))) in alpha
26.210 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (* 2.0 i))) in alpha
26.210 * [taylor]: Taking taylor expansion of alpha in alpha
26.210 * [backup-simplify]: Simplify 0 into 0
26.210 * [backup-simplify]: Simplify 1 into 1
26.210 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
26.210 * [taylor]: Taking taylor expansion of alpha in alpha
26.210 * [backup-simplify]: Simplify 0 into 0
26.210 * [backup-simplify]: Simplify 1 into 1
26.210 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.210 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.210 * [backup-simplify]: Simplify 2.0 into 2.0
26.210 * [taylor]: Taking taylor expansion of i in alpha
26.210 * [backup-simplify]: Simplify i into i
26.211 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.211 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
26.211 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
26.211 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
26.211 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) in alpha
26.211 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
26.211 * [taylor]: Taking taylor expansion of alpha in alpha
26.211 * [backup-simplify]: Simplify 0 into 0
26.211 * [backup-simplify]: Simplify 1 into 1
26.211 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
26.211 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.211 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.211 * [backup-simplify]: Simplify 2.0 into 2.0
26.211 * [taylor]: Taking taylor expansion of i in alpha
26.211 * [backup-simplify]: Simplify i into i
26.211 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.211 * [backup-simplify]: Simplify 2.0 into 2.0
26.211 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.211 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.211 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
26.212 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
26.212 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
26.212 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.213 * [backup-simplify]: Simplify (+ 0 0) into 0
26.213 * [backup-simplify]: Simplify (+ 1 0) into 1
26.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
26.214 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
26.214 * [backup-simplify]: Simplify (- 0) into 0
26.215 * [backup-simplify]: Simplify (+ 1 0) into 1
26.215 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.216 * [backup-simplify]: Simplify (+ 0 1) into 1
26.216 * [backup-simplify]: Simplify (+ 0 1) into 1
26.217 * [backup-simplify]: Simplify (- (/ 1 (+ alpha (* 2.0 i))) (+ (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (/ 1 (+ alpha (* 2.0 i)))))) into (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))
26.219 * [backup-simplify]: Simplify (+ (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) (* (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (+ alpha (* 2.0 i)))) (+ (* 1/2 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))))
26.219 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (+ alpha (* 2.0 i)))) (+ (* 1/2 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))))) in alpha
26.219 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (+ alpha (* 2.0 i)))) in alpha
26.219 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
26.219 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) in alpha
26.219 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
26.219 * [taylor]: Taking taylor expansion of alpha in alpha
26.219 * [backup-simplify]: Simplify 0 into 0
26.219 * [backup-simplify]: Simplify 1 into 1
26.219 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
26.219 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.219 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.219 * [backup-simplify]: Simplify 2.0 into 2.0
26.219 * [taylor]: Taking taylor expansion of i in alpha
26.219 * [backup-simplify]: Simplify i into i
26.219 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.219 * [backup-simplify]: Simplify 2.0 into 2.0
26.219 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.219 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.219 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
26.220 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
26.220 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
26.220 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.221 * [backup-simplify]: Simplify (+ 0 0) into 0
26.221 * [backup-simplify]: Simplify (+ 1 0) into 1
26.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
26.222 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
26.222 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (* 2.0 i))) in alpha
26.222 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
26.222 * [taylor]: Taking taylor expansion of alpha in alpha
26.222 * [backup-simplify]: Simplify 0 into 0
26.222 * [backup-simplify]: Simplify 1 into 1
26.222 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.223 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.223 * [backup-simplify]: Simplify 2.0 into 2.0
26.223 * [taylor]: Taking taylor expansion of i in alpha
26.223 * [backup-simplify]: Simplify i into i
26.223 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.223 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
26.223 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
26.223 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) in alpha
26.223 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) in alpha
26.223 * [taylor]: Taking taylor expansion of 1/2 in alpha
26.223 * [backup-simplify]: Simplify 1/2 into 1/2
26.223 * [taylor]: Taking taylor expansion of (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
26.223 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (* 2.0 i))) in alpha
26.223 * [taylor]: Taking taylor expansion of alpha in alpha
26.223 * [backup-simplify]: Simplify 0 into 0
26.223 * [backup-simplify]: Simplify 1 into 1
26.223 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
26.223 * [taylor]: Taking taylor expansion of alpha in alpha
26.223 * [backup-simplify]: Simplify 0 into 0
26.223 * [backup-simplify]: Simplify 1 into 1
26.223 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.223 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.223 * [backup-simplify]: Simplify 2.0 into 2.0
26.223 * [taylor]: Taking taylor expansion of i in alpha
26.223 * [backup-simplify]: Simplify i into i
26.224 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.224 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
26.224 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
26.224 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
26.224 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
26.224 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
26.224 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
26.224 * [taylor]: Taking taylor expansion of alpha in alpha
26.224 * [backup-simplify]: Simplify 0 into 0
26.224 * [backup-simplify]: Simplify 1 into 1
26.224 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
26.224 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.224 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.224 * [backup-simplify]: Simplify 2.0 into 2.0
26.224 * [taylor]: Taking taylor expansion of i in alpha
26.224 * [backup-simplify]: Simplify i into i
26.224 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.224 * [backup-simplify]: Simplify 2.0 into 2.0
26.224 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.224 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.224 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
26.225 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
26.225 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
26.225 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 3))
26.226 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))
26.227 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.227 * [backup-simplify]: Simplify (+ 0 0) into 0
26.228 * [backup-simplify]: Simplify (+ 1 0) into 1
26.228 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
26.228 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ (* 4.0 i) 4.0)) (* 1 (pow (+ (* 2.0 i) 2.0) 2))) into (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0))
26.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) (/ (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0)) (pow (+ (* 2.0 i) 2.0) 3))))) into (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6))))))
26.232 * [backup-simplify]: Simplify (/ (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 3)) (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))))
26.232 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) in alpha
26.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
26.232 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) in alpha
26.232 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
26.232 * [taylor]: Taking taylor expansion of alpha in alpha
26.232 * [backup-simplify]: Simplify 0 into 0
26.232 * [backup-simplify]: Simplify 1 into 1
26.232 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
26.232 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.232 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.232 * [backup-simplify]: Simplify 2.0 into 2.0
26.232 * [taylor]: Taking taylor expansion of i in alpha
26.232 * [backup-simplify]: Simplify i into i
26.232 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.232 * [backup-simplify]: Simplify 2.0 into 2.0
26.232 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.232 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.233 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
26.233 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
26.233 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
26.234 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.235 * [backup-simplify]: Simplify (+ 0 0) into 0
26.236 * [backup-simplify]: Simplify (+ 1 0) into 1
26.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
26.236 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
26.237 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 2)) in alpha
26.237 * [taylor]: Taking taylor expansion of alpha in alpha
26.237 * [backup-simplify]: Simplify 0 into 0
26.237 * [backup-simplify]: Simplify 1 into 1
26.237 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
26.237 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
26.237 * [taylor]: Taking taylor expansion of alpha in alpha
26.237 * [backup-simplify]: Simplify 0 into 0
26.237 * [backup-simplify]: Simplify 1 into 1
26.237 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.237 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.237 * [backup-simplify]: Simplify 2.0 into 2.0
26.237 * [taylor]: Taking taylor expansion of i in alpha
26.237 * [backup-simplify]: Simplify i into i
26.237 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.237 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
26.237 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
26.237 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
26.238 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 0.5 i)) into (* 0.5 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 i)))
26.238 * [backup-simplify]: Simplify (+ (* 0.5 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 i))) 0) into (* 0.5 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 i)))
26.238 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 i))) in i
26.238 * [taylor]: Taking taylor expansion of 0.5 in i
26.238 * [backup-simplify]: Simplify 0.5 into 0.5
26.238 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 i)) in i
26.238 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 2.0 i) 2.0))) in i
26.238 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) 2.0)) in i
26.238 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
26.238 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
26.238 * [taylor]: Taking taylor expansion of 2.0 in i
26.238 * [backup-simplify]: Simplify 2.0 into 2.0
26.238 * [taylor]: Taking taylor expansion of i in i
26.238 * [backup-simplify]: Simplify 0 into 0
26.238 * [backup-simplify]: Simplify 1 into 1
26.238 * [taylor]: Taking taylor expansion of 2.0 in i
26.238 * [backup-simplify]: Simplify 2.0 into 2.0
26.239 * [backup-simplify]: Simplify (* 2.0 0) into 0
26.240 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.240 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
26.240 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
26.242 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
26.243 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
26.245 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
26.247 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5))
26.247 * [taylor]: Taking taylor expansion of (/ 1 i) in i
26.247 * [taylor]: Taking taylor expansion of i in i
26.247 * [backup-simplify]: Simplify 0 into 0
26.247 * [backup-simplify]: Simplify 1 into 1
26.248 * [backup-simplify]: Simplify (/ 1 1) into 1
26.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.252 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* (/ -0.25 (sqrt 0.5)) 1)) into (- (* 0.25 (/ 1 (sqrt 0.5))))
26.254 * [backup-simplify]: Simplify (* (sqrt 0.5) 1) into (sqrt 0.5)
26.260 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 0.25 (/ 1 (sqrt 0.5))))) (* 0 (sqrt 0.5))) into (- (* 0.125 (/ 1 (sqrt 0.5))))
26.262 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (sqrt 0.5)))) into (- (* 0.125 (/ 1 (sqrt 0.5))))
26.262 * [backup-simplify]: Simplify (* (/ 0.5 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0)))) into (* 0.5 (* (/ 1 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0)))))
26.263 * [backup-simplify]: Simplify (* -1 (* 0.5 (* (/ 1 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0)))))) into (* -0.5 (* (/ 1 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0)))))
26.263 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) in i
26.263 * [taylor]: Taking taylor expansion of -0.5 in i
26.263 * [backup-simplify]: Simplify -0.5 into -0.5
26.263 * [taylor]: Taking taylor expansion of (* (/ 1 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0)))) in i
26.263 * [taylor]: Taking taylor expansion of (/ 1 i) in i
26.263 * [taylor]: Taking taylor expansion of i in i
26.263 * [backup-simplify]: Simplify 0 into 0
26.263 * [backup-simplify]: Simplify 1 into 1
26.263 * [backup-simplify]: Simplify (/ 1 1) into 1
26.264 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 2.0 i) 2.0))) in i
26.264 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) 2.0)) in i
26.264 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
26.264 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
26.264 * [taylor]: Taking taylor expansion of 2.0 in i
26.264 * [backup-simplify]: Simplify 2.0 into 2.0
26.264 * [taylor]: Taking taylor expansion of i in i
26.264 * [backup-simplify]: Simplify 0 into 0
26.264 * [backup-simplify]: Simplify 1 into 1
26.264 * [taylor]: Taking taylor expansion of 2.0 in i
26.264 * [backup-simplify]: Simplify 2.0 into 2.0
26.268 * [backup-simplify]: Simplify (* 2.0 0) into 0
26.269 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.269 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
26.270 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
26.271 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
26.272 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
26.274 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
26.276 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5))
26.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.280 * [backup-simplify]: Simplify (+ (* 1 (/ -0.25 (sqrt 0.5))) (* 0 (sqrt 0.5))) into (- (* 0.25 (/ 1 (sqrt 0.5))))
26.281 * [backup-simplify]: Simplify (* 1 (sqrt 0.5)) into (sqrt 0.5)
26.287 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 0.25 (/ 1 (sqrt 0.5))))) (* 0 (sqrt 0.5))) into (* 0.125 (/ 1 (sqrt 0.5)))
26.289 * [backup-simplify]: Simplify (* 0.125 (/ 1 (sqrt 0.5))) into (/ 0.125 (sqrt 0.5))
26.290 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
26.291 * [backup-simplify]: Simplify (+ 0 0) into 0
26.291 * [backup-simplify]: Simplify (+ 0 0) into 0
26.291 * [backup-simplify]: Simplify (+ 0 0) into 0
26.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) (/ 0 (+ alpha (+ (* 2.0 i) 2.0)))) (* (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))
26.294 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) (pow (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) 2) (+)) (* 2 (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (* 3/8 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))
26.294 * [backup-simplify]: Simplify (- 0) into 0
26.295 * [backup-simplify]: Simplify (+ 0 0) into 0
26.296 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
26.296 * [backup-simplify]: Simplify (+ 0 0) into 0
26.296 * [backup-simplify]: Simplify (+ 0 0) into 0
26.298 * [backup-simplify]: Simplify (- (/ 0 (+ alpha (* 2.0 i))) (+ (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (/ 0 (+ alpha (* 2.0 i)))) (* (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) (/ 1 (+ alpha (* 2.0 i)))))) into (- (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3))))
26.301 * [backup-simplify]: Simplify (+ (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (* 3/8 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) (+ (* (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) (* (- (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3)))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))))) into (- (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) (+ (* 3/8 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i))))))))))
26.301 * [taylor]: Taking taylor expansion of (- (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) (+ (* 3/8 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i)))))))))) in alpha
26.301 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) (+ (* 3/8 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i))))))))) in alpha
26.301 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) in alpha
26.301 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
26.301 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) in alpha
26.301 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
26.301 * [taylor]: Taking taylor expansion of alpha in alpha
26.301 * [backup-simplify]: Simplify 0 into 0
26.301 * [backup-simplify]: Simplify 1 into 1
26.301 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
26.301 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.301 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.301 * [backup-simplify]: Simplify 2.0 into 2.0
26.301 * [taylor]: Taking taylor expansion of i in alpha
26.301 * [backup-simplify]: Simplify i into i
26.301 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.302 * [backup-simplify]: Simplify 2.0 into 2.0
26.302 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.302 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.302 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
26.302 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
26.302 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
26.303 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.303 * [backup-simplify]: Simplify (+ 0 0) into 0
26.304 * [backup-simplify]: Simplify (+ 1 0) into 1
26.304 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
26.305 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
26.305 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 3)) in alpha
26.305 * [taylor]: Taking taylor expansion of alpha in alpha
26.305 * [backup-simplify]: Simplify 0 into 0
26.305 * [backup-simplify]: Simplify 1 into 1
26.305 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
26.305 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
26.305 * [taylor]: Taking taylor expansion of alpha in alpha
26.305 * [backup-simplify]: Simplify 0 into 0
26.305 * [backup-simplify]: Simplify 1 into 1
26.305 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.305 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.305 * [backup-simplify]: Simplify 2.0 into 2.0
26.305 * [taylor]: Taking taylor expansion of i in alpha
26.305 * [backup-simplify]: Simplify i into i
26.305 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.305 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
26.305 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
26.305 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
26.306 * [backup-simplify]: Simplify (/ 1 (* 8.0 (pow i 3))) into (/ 0.125 (pow i 3))
26.306 * [taylor]: Taking taylor expansion of (+ (* 3/8 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i)))))))) in alpha
26.306 * [taylor]: Taking taylor expansion of (* 3/8 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) in alpha
26.306 * [taylor]: Taking taylor expansion of 3/8 in alpha
26.306 * [backup-simplify]: Simplify 3/8 into 3/8
26.306 * [taylor]: Taking taylor expansion of (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5)))) in alpha
26.306 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (* 2.0 i))) in alpha
26.306 * [taylor]: Taking taylor expansion of alpha in alpha
26.306 * [backup-simplify]: Simplify 0 into 0
26.306 * [backup-simplify]: Simplify 1 into 1
26.306 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
26.306 * [taylor]: Taking taylor expansion of alpha in alpha
26.306 * [backup-simplify]: Simplify 0 into 0
26.306 * [backup-simplify]: Simplify 1 into 1
26.306 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.306 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.307 * [backup-simplify]: Simplify 2.0 into 2.0
26.307 * [taylor]: Taking taylor expansion of i in alpha
26.307 * [backup-simplify]: Simplify i into i
26.307 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.307 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
26.307 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
26.307 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))) in alpha
26.307 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5)) in alpha
26.307 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 5) in alpha
26.307 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
26.307 * [taylor]: Taking taylor expansion of alpha in alpha
26.307 * [backup-simplify]: Simplify 0 into 0
26.307 * [backup-simplify]: Simplify 1 into 1
26.307 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
26.307 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.307 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.307 * [backup-simplify]: Simplify 2.0 into 2.0
26.307 * [taylor]: Taking taylor expansion of i in alpha
26.307 * [backup-simplify]: Simplify i into i
26.307 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.307 * [backup-simplify]: Simplify 2.0 into 2.0
26.308 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.308 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.308 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
26.308 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
26.308 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
26.309 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 4)) into (pow (+ (* 2.0 i) 2.0) 5)
26.309 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 5)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 5))
26.309 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 5))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 5)))
26.310 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.310 * [backup-simplify]: Simplify (+ 0 0) into 0
26.311 * [backup-simplify]: Simplify (+ 1 0) into 1
26.311 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
26.312 * [backup-simplify]: Simplify (+ (* (pow (+ (* 2.0 i) 2.0) 2) (+ (* 4.0 i) 4.0)) (* (+ (* 4.0 i) 4.0) (pow (+ (* 2.0 i) 2.0) 2))) into (+ 32.0 (+ (* 32.0 (pow i 3)) (+ (* 96.0 (pow i 2)) (* 96.0 i))))
26.313 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ 32.0 (+ (* 32.0 (pow i 3)) (+ (* 96.0 (pow i 2)) (* 96.0 i))))) (* 1 (pow (+ (* 2.0 i) 2.0) 4))) into (+ 80.0 (+ (* 320.0 (pow i 3)) (+ (* 480.0 (pow i 2)) (+ (* 80.0 (pow i 4)) (* 320.0 i)))))
26.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 5)) (/ (+ 80.0 (+ (* 320.0 (pow i 3)) (+ (* 480.0 (pow i 2)) (+ (* 80.0 (pow i 4)) (* 320.0 i))))) (pow (+ (* 2.0 i) 2.0) 5))))) into (- (+ (* 320.0 (/ (pow i 3) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 480.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 320.0 (/ i (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 80.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 10))) (* 80.0 (/ (pow i 4) (pow (+ (* 2.0 i) 2.0) 10))))))))
26.319 * [backup-simplify]: Simplify (/ (- (+ (* 320.0 (/ (pow i 3) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 480.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 320.0 (/ i (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 80.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 10))) (* 80.0 (/ (pow i 4) (pow (+ (* 2.0 i) 2.0) 10)))))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 5))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 5)) (+ (* 320.0 (/ (pow i 3) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 480.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 320.0 (/ i (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 80.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 10))) (* 80.0 (/ (pow i 4) (pow (+ (* 2.0 i) 2.0) 10)))))))))
26.319 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i))))))) in alpha
26.319 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) in alpha
26.319 * [taylor]: Taking taylor expansion of 1/2 in alpha
26.320 * [backup-simplify]: Simplify 1/2 into 1/2
26.320 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) in alpha
26.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
26.320 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
26.320 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
26.320 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
26.320 * [taylor]: Taking taylor expansion of alpha in alpha
26.320 * [backup-simplify]: Simplify 0 into 0
26.320 * [backup-simplify]: Simplify 1 into 1
26.320 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
26.320 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.320 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.320 * [backup-simplify]: Simplify 2.0 into 2.0
26.320 * [taylor]: Taking taylor expansion of i in alpha
26.320 * [backup-simplify]: Simplify i into i
26.320 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.320 * [backup-simplify]: Simplify 2.0 into 2.0
26.320 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.320 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.320 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
26.321 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
26.321 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
26.321 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 3))
26.321 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))
26.322 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.323 * [backup-simplify]: Simplify (+ 0 0) into 0
26.324 * [backup-simplify]: Simplify (+ 1 0) into 1
26.324 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
26.325 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ (* 4.0 i) 4.0)) (* 1 (pow (+ (* 2.0 i) 2.0) 2))) into (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0))
26.326 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) (/ (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0)) (pow (+ (* 2.0 i) 2.0) 3))))) into (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6))))))
26.328 * [backup-simplify]: Simplify (/ (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 3)) (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))))
26.328 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 2)) in alpha
26.328 * [taylor]: Taking taylor expansion of alpha in alpha
26.328 * [backup-simplify]: Simplify 0 into 0
26.328 * [backup-simplify]: Simplify 1 into 1
26.328 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
26.328 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
26.328 * [taylor]: Taking taylor expansion of alpha in alpha
26.329 * [backup-simplify]: Simplify 0 into 0
26.329 * [backup-simplify]: Simplify 1 into 1
26.329 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.329 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.329 * [backup-simplify]: Simplify 2.0 into 2.0
26.329 * [taylor]: Taking taylor expansion of i in alpha
26.329 * [backup-simplify]: Simplify i into i
26.329 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.329 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
26.329 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
26.329 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
26.329 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i)))))) in alpha
26.329 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) in alpha
26.329 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
26.329 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) in alpha
26.329 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
26.329 * [taylor]: Taking taylor expansion of alpha in alpha
26.329 * [backup-simplify]: Simplify 0 into 0
26.329 * [backup-simplify]: Simplify 1 into 1
26.330 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
26.330 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.330 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.330 * [backup-simplify]: Simplify 2.0 into 2.0
26.330 * [taylor]: Taking taylor expansion of i in alpha
26.330 * [backup-simplify]: Simplify i into i
26.330 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.330 * [backup-simplify]: Simplify 2.0 into 2.0
26.330 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.330 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.330 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
26.330 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
26.332 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
26.333 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.333 * [backup-simplify]: Simplify (+ 0 0) into 0
26.333 * [backup-simplify]: Simplify (+ 1 0) into 1
26.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
26.334 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
26.334 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (* 2.0 i)) 2)) in alpha
26.334 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
26.334 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
26.335 * [taylor]: Taking taylor expansion of alpha in alpha
26.335 * [backup-simplify]: Simplify 0 into 0
26.335 * [backup-simplify]: Simplify 1 into 1
26.335 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.335 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.335 * [backup-simplify]: Simplify 2.0 into 2.0
26.335 * [taylor]: Taking taylor expansion of i in alpha
26.335 * [backup-simplify]: Simplify i into i
26.335 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.335 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
26.335 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
26.335 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
26.335 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i))))) in alpha
26.335 * [taylor]: Taking taylor expansion of 1/2 in alpha
26.335 * [backup-simplify]: Simplify 1/2 into 1/2
26.335 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i)))) in alpha
26.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
26.335 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
26.335 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
26.335 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
26.335 * [taylor]: Taking taylor expansion of alpha in alpha
26.336 * [backup-simplify]: Simplify 0 into 0
26.336 * [backup-simplify]: Simplify 1 into 1
26.336 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
26.336 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.336 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.336 * [backup-simplify]: Simplify 2.0 into 2.0
26.336 * [taylor]: Taking taylor expansion of i in alpha
26.336 * [backup-simplify]: Simplify i into i
26.336 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.336 * [backup-simplify]: Simplify 2.0 into 2.0
26.336 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.336 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.336 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
26.336 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
26.337 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
26.337 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 3))
26.337 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))
26.338 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.339 * [backup-simplify]: Simplify (+ 0 0) into 0
26.339 * [backup-simplify]: Simplify (+ 1 0) into 1
26.340 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
26.340 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ (* 4.0 i) 4.0)) (* 1 (pow (+ (* 2.0 i) 2.0) 2))) into (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0))
26.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) (/ (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0)) (pow (+ (* 2.0 i) 2.0) 3))))) into (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6))))))
26.344 * [backup-simplify]: Simplify (/ (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 3)) (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))))
26.344 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (* 2.0 i))) in alpha
26.344 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
26.344 * [taylor]: Taking taylor expansion of alpha in alpha
26.344 * [backup-simplify]: Simplify 0 into 0
26.344 * [backup-simplify]: Simplify 1 into 1
26.344 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.344 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.344 * [backup-simplify]: Simplify 2.0 into 2.0
26.344 * [taylor]: Taking taylor expansion of i in alpha
26.344 * [backup-simplify]: Simplify i into i
26.344 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.344 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
26.344 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
26.345 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 0.25 (pow i 2))) into (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2))))
26.345 * [backup-simplify]: Simplify (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 0.5 i)) into (* 0.5 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))
26.346 * [backup-simplify]: Simplify (* 1/2 (* 0.5 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))) into (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))
26.347 * [backup-simplify]: Simplify (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))) into (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))
26.348 * [backup-simplify]: Simplify (+ 0 (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))) into (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))
26.349 * [backup-simplify]: Simplify (+ 0 (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))) into (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))
26.351 * [backup-simplify]: Simplify (+ 0 (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))) into (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))
26.352 * [backup-simplify]: Simplify (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))) into (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))))
26.352 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))) in i
26.352 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))) in i
26.352 * [taylor]: Taking taylor expansion of (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) in i
26.352 * [taylor]: Taking taylor expansion of 0.25 in i
26.352 * [backup-simplify]: Simplify 0.25 into 0.25
26.352 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2))) in i
26.352 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 2.0 i) 2.0))) in i
26.352 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) 2.0)) in i
26.352 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
26.352 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
26.352 * [taylor]: Taking taylor expansion of 2.0 in i
26.353 * [backup-simplify]: Simplify 2.0 into 2.0
26.353 * [taylor]: Taking taylor expansion of i in i
26.353 * [backup-simplify]: Simplify 0 into 0
26.353 * [backup-simplify]: Simplify 1 into 1
26.353 * [taylor]: Taking taylor expansion of 2.0 in i
26.353 * [backup-simplify]: Simplify 2.0 into 2.0
26.353 * [backup-simplify]: Simplify (* 2.0 0) into 0
26.354 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.354 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
26.355 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
26.356 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
26.357 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
26.360 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
26.362 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5))
26.362 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
26.362 * [taylor]: Taking taylor expansion of (pow i 2) in i
26.362 * [taylor]: Taking taylor expansion of i in i
26.362 * [backup-simplify]: Simplify 0 into 0
26.362 * [backup-simplify]: Simplify 1 into 1
26.363 * [backup-simplify]: Simplify (* 1 1) into 1
26.364 * [backup-simplify]: Simplify (/ 1 1) into 1
26.364 * [taylor]: Taking taylor expansion of (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))) in i
26.364 * [taylor]: Taking taylor expansion of 0.25 in i
26.364 * [backup-simplify]: Simplify 0.25 into 0.25
26.364 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)) in i
26.364 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) in i
26.364 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) in i
26.364 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 3) in i
26.364 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
26.364 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
26.364 * [taylor]: Taking taylor expansion of 2.0 in i
26.364 * [backup-simplify]: Simplify 2.0 into 2.0
26.364 * [taylor]: Taking taylor expansion of i in i
26.364 * [backup-simplify]: Simplify 0 into 0
26.364 * [backup-simplify]: Simplify 1 into 1
26.364 * [taylor]: Taking taylor expansion of 2.0 in i
26.364 * [backup-simplify]: Simplify 2.0 into 2.0
26.365 * [backup-simplify]: Simplify (* 2.0 0) into 0
26.365 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.366 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
26.366 * [backup-simplify]: Simplify (* 2.0 4.0) into 8.0
26.367 * [backup-simplify]: Simplify (/ 1 8.0) into 0.125
26.367 * [backup-simplify]: Simplify (sqrt 0.125) into (sqrt 0.125)
26.369 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
26.369 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
26.373 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
26.374 * [backup-simplify]: Simplify (+ (* 2.0 8.0) (* 2.0 4.0)) into 24.0
26.377 * [backup-simplify]: Simplify (- (+ (* 0.125 (/ 24.0 8.0)))) into (- 0.375)
26.380 * [backup-simplify]: Simplify (/ (- 0.375) (* 2 (sqrt 0.125))) into (/ -0.1875 (sqrt 0.125))
26.380 * [taylor]: Taking taylor expansion of (/ 1 i) in i
26.380 * [taylor]: Taking taylor expansion of i in i
26.380 * [backup-simplify]: Simplify 0 into 0
26.380 * [backup-simplify]: Simplify 1 into 1
26.381 * [backup-simplify]: Simplify (/ 1 1) into 1
26.382 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
26.382 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
26.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.386 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
26.386 * [backup-simplify]: Simplify (+ 0 0) into 0
26.391 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 0 2.0)) (* (- 0.5) (/ 2.0 2.0)))) into 0.5
26.397 * [backup-simplify]: Simplify (/ (- 0.5 (pow (/ -0.25 (sqrt 0.5)) 2) (+)) (* 2 (sqrt 0.5))) into (* 1/2 (/ (- 0.5 (* 0.0625 (/ 1 (pow (sqrt 0.5) 2)))) (sqrt 0.5)))
26.426 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* (/ -0.25 (sqrt 0.5)) 0) (* (* 1/2 (/ (- 0.5 (* 0.0625 (/ 1 (pow (sqrt 0.5) 2)))) (sqrt 0.5))) 1))) into (- (* 0.25 (/ 1 (sqrt 0.5))) (* 0.03125 (/ 1 (pow (sqrt 0.5) 3))))
26.429 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* (/ -0.25 (sqrt 0.5)) 1)) into (- (* 0.25 (/ 1 (sqrt 0.5))))
26.431 * [backup-simplify]: Simplify (* (sqrt 0.5) 1) into (sqrt 0.5)
26.443 * [backup-simplify]: Simplify (+ (* 0.25 (- (* 0.25 (/ 1 (sqrt 0.5))) (* 0.03125 (/ 1 (pow (sqrt 0.5) 3))))) (+ (* 0 (- (* 0.25 (/ 1 (sqrt 0.5))))) (* 0 (sqrt 0.5)))) into (- (* 0.0625 (/ 1 (sqrt 0.5))) (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3))))
26.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.455 * [backup-simplify]: Simplify (+ (* (sqrt 0.125) 0) (* (/ -0.1875 (sqrt 0.125)) 1)) into (- (* 0.1875 (/ 1 (sqrt 0.125))))
26.456 * [backup-simplify]: Simplify (* (sqrt 0.125) 1) into (sqrt 0.125)
26.474 * [backup-simplify]: Simplify (+ (* 0.25 (- (* 0.1875 (/ 1 (sqrt 0.125))))) (* 0 (sqrt 0.125))) into (- (* 0.046875 (/ 1 (sqrt 0.125))))
26.484 * [backup-simplify]: Simplify (+ (- (* 0.0625 (/ 1 (sqrt 0.5))) (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3)))) (- (* 0.046875 (/ 1 (sqrt 0.125))))) into (- (* 0.0625 (/ 1 (sqrt 0.5))) (+ (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3))) (* 0.046875 (/ 1 (sqrt 0.125)))))
26.496 * [backup-simplify]: Simplify (- (- (* 0.0625 (/ 1 (sqrt 0.5))) (+ (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3))) (* 0.046875 (/ 1 (sqrt 0.125)))))) into (- (+ (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3))) (* 0.046875 (/ 1 (sqrt 0.125)))) (* 0.0625 (/ 1 (sqrt 0.5))))
26.508 * [backup-simplify]: Simplify (- (+ (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3))) (* 0.046875 (/ 1 (sqrt 0.125)))) (* 0.0625 (/ 1 (sqrt 0.5)))) into (- (+ (* 0.046875 (/ 1 (sqrt 0.125))) (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3)))) (* 0.0625 (/ 1 (sqrt 0.5))))
26.522 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.046875 (/ 1 (sqrt 0.125))) (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3)))) (* 0.0625 (/ 1 (sqrt 0.5)))) (pow (* 1 (* 1 beta)) 2)) (+ (* (/ 0.125 (sqrt 0.5)) (* 1 (* alpha 1))) (* (- (* 0.125 (/ 1 (sqrt 0.5)))) (* 1 (* 1 beta))))) into (- (+ (* 0.046875 (/ (pow beta 2) (sqrt 0.125))) (+ (* 0.0078125 (/ (pow beta 2) (pow (sqrt 0.5) 3))) (* 0.125 (/ alpha (sqrt 0.5))))) (+ (* 0.125 (/ beta (sqrt 0.5))) (* 0.0625 (/ (pow beta 2) (sqrt 0.5)))))
26.523 * [backup-simplify]: Simplify (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) into (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
26.523 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (beta alpha i) around 0
26.524 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
26.524 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
26.524 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
26.524 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
26.524 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
26.524 * [taylor]: Taking taylor expansion of alpha in i
26.524 * [backup-simplify]: Simplify alpha into alpha
26.524 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.524 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
26.524 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
26.524 * [taylor]: Taking taylor expansion of 2.0 in i
26.524 * [backup-simplify]: Simplify 2.0 into 2.0
26.524 * [taylor]: Taking taylor expansion of (/ 1 i) in i
26.524 * [taylor]: Taking taylor expansion of i in i
26.524 * [backup-simplify]: Simplify 0 into 0
26.524 * [backup-simplify]: Simplify 1 into 1
26.525 * [backup-simplify]: Simplify (/ 1 1) into 1
26.525 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
26.525 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
26.525 * [taylor]: Taking taylor expansion of beta in i
26.525 * [backup-simplify]: Simplify beta into beta
26.525 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.525 * [taylor]: Taking taylor expansion of 2.0 in i
26.525 * [backup-simplify]: Simplify 2.0 into 2.0
26.526 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
26.526 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
26.527 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.527 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
26.528 * [backup-simplify]: Simplify (sqrt 0) into 0
26.529 * [backup-simplify]: Simplify (/ 0.5 (* 2 (sqrt 0))) into +nan.0
26.530 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
26.530 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
26.530 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
26.530 * [taylor]: Taking taylor expansion of beta in i
26.530 * [backup-simplify]: Simplify beta into beta
26.530 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.530 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
26.530 * [taylor]: Taking taylor expansion of alpha in i
26.530 * [backup-simplify]: Simplify alpha into alpha
26.530 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.530 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
26.530 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
26.530 * [taylor]: Taking taylor expansion of alpha in i
26.530 * [backup-simplify]: Simplify alpha into alpha
26.530 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.530 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
26.530 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
26.531 * [taylor]: Taking taylor expansion of 2.0 in i
26.531 * [backup-simplify]: Simplify 2.0 into 2.0
26.531 * [taylor]: Taking taylor expansion of (/ 1 i) in i
26.531 * [taylor]: Taking taylor expansion of i in i
26.531 * [backup-simplify]: Simplify 0 into 0
26.531 * [backup-simplify]: Simplify 1 into 1
26.532 * [backup-simplify]: Simplify (/ 1 1) into 1
26.532 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
26.532 * [taylor]: Taking taylor expansion of beta in i
26.532 * [backup-simplify]: Simplify beta into beta
26.532 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.532 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
26.532 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
26.533 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
26.533 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
26.534 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.535 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 2.0) into (* 0.5 (- (/ 1 beta) (/ 1 alpha)))
26.535 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
26.535 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
26.535 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
26.535 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
26.535 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
26.535 * [taylor]: Taking taylor expansion of alpha in alpha
26.535 * [backup-simplify]: Simplify 0 into 0
26.535 * [backup-simplify]: Simplify 1 into 1
26.536 * [backup-simplify]: Simplify (/ 1 1) into 1
26.536 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
26.536 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
26.536 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.536 * [backup-simplify]: Simplify 2.0 into 2.0
26.536 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
26.536 * [taylor]: Taking taylor expansion of i in alpha
26.536 * [backup-simplify]: Simplify i into i
26.536 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.536 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
26.536 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
26.536 * [taylor]: Taking taylor expansion of beta in alpha
26.536 * [backup-simplify]: Simplify beta into beta
26.536 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.536 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.536 * [backup-simplify]: Simplify 2.0 into 2.0
26.537 * [backup-simplify]: Simplify (+ 1 0) into 1
26.538 * [backup-simplify]: Simplify (/ 1 1) into 1
26.538 * [backup-simplify]: Simplify (sqrt 0) into 0
26.541 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
26.541 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
26.541 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
26.541 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
26.541 * [taylor]: Taking taylor expansion of beta in alpha
26.541 * [backup-simplify]: Simplify beta into beta
26.541 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.541 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
26.541 * [taylor]: Taking taylor expansion of alpha in alpha
26.541 * [backup-simplify]: Simplify 0 into 0
26.541 * [backup-simplify]: Simplify 1 into 1
26.542 * [backup-simplify]: Simplify (/ 1 1) into 1
26.542 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
26.542 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
26.542 * [taylor]: Taking taylor expansion of alpha in alpha
26.542 * [backup-simplify]: Simplify 0 into 0
26.542 * [backup-simplify]: Simplify 1 into 1
26.542 * [backup-simplify]: Simplify (/ 1 1) into 1
26.542 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
26.542 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
26.542 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.542 * [backup-simplify]: Simplify 2.0 into 2.0
26.542 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
26.542 * [taylor]: Taking taylor expansion of i in alpha
26.542 * [backup-simplify]: Simplify i into i
26.543 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.543 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
26.543 * [taylor]: Taking taylor expansion of beta in alpha
26.543 * [backup-simplify]: Simplify beta into beta
26.543 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.543 * [backup-simplify]: Simplify (- 1) into -1
26.543 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.544 * [backup-simplify]: Simplify (+ 1 0) into 1
26.544 * [backup-simplify]: Simplify (/ -1 1) into -1
26.544 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
26.544 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
26.545 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
26.545 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
26.545 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.545 * [taylor]: Taking taylor expansion of alpha in beta
26.545 * [backup-simplify]: Simplify alpha into alpha
26.545 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.545 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
26.545 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
26.545 * [taylor]: Taking taylor expansion of 2.0 in beta
26.545 * [backup-simplify]: Simplify 2.0 into 2.0
26.545 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
26.545 * [taylor]: Taking taylor expansion of i in beta
26.545 * [backup-simplify]: Simplify i into i
26.545 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.545 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
26.545 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.545 * [taylor]: Taking taylor expansion of beta in beta
26.545 * [backup-simplify]: Simplify 0 into 0
26.545 * [backup-simplify]: Simplify 1 into 1
26.546 * [backup-simplify]: Simplify (/ 1 1) into 1
26.546 * [taylor]: Taking taylor expansion of 2.0 in beta
26.546 * [backup-simplify]: Simplify 2.0 into 2.0
26.546 * [backup-simplify]: Simplify (+ 1 0) into 1
26.547 * [backup-simplify]: Simplify (+ 0 1) into 1
26.547 * [backup-simplify]: Simplify (+ 0 1) into 1
26.547 * [backup-simplify]: Simplify (/ 1 1) into 1
26.548 * [backup-simplify]: Simplify (sqrt 0) into 0
26.549 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
26.549 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
26.549 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
26.549 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.549 * [taylor]: Taking taylor expansion of beta in beta
26.549 * [backup-simplify]: Simplify 0 into 0
26.549 * [backup-simplify]: Simplify 1 into 1
26.549 * [backup-simplify]: Simplify (/ 1 1) into 1
26.549 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.549 * [taylor]: Taking taylor expansion of alpha in beta
26.550 * [backup-simplify]: Simplify alpha into alpha
26.550 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.550 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
26.550 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.550 * [taylor]: Taking taylor expansion of alpha in beta
26.550 * [backup-simplify]: Simplify alpha into alpha
26.550 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.550 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
26.550 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
26.550 * [taylor]: Taking taylor expansion of 2.0 in beta
26.550 * [backup-simplify]: Simplify 2.0 into 2.0
26.550 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
26.550 * [taylor]: Taking taylor expansion of i in beta
26.550 * [backup-simplify]: Simplify i into i
26.550 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.550 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.550 * [taylor]: Taking taylor expansion of beta in beta
26.550 * [backup-simplify]: Simplify 0 into 0
26.550 * [backup-simplify]: Simplify 1 into 1
26.551 * [backup-simplify]: Simplify (/ 1 1) into 1
26.551 * [backup-simplify]: Simplify (+ 1 0) into 1
26.552 * [backup-simplify]: Simplify (+ 0 1) into 1
26.552 * [backup-simplify]: Simplify (+ 0 1) into 1
26.552 * [backup-simplify]: Simplify (/ 1 1) into 1
26.552 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
26.552 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
26.552 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
26.552 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
26.553 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.553 * [taylor]: Taking taylor expansion of alpha in beta
26.553 * [backup-simplify]: Simplify alpha into alpha
26.553 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.553 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
26.553 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
26.553 * [taylor]: Taking taylor expansion of 2.0 in beta
26.553 * [backup-simplify]: Simplify 2.0 into 2.0
26.553 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
26.553 * [taylor]: Taking taylor expansion of i in beta
26.553 * [backup-simplify]: Simplify i into i
26.553 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.553 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
26.553 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.553 * [taylor]: Taking taylor expansion of beta in beta
26.553 * [backup-simplify]: Simplify 0 into 0
26.553 * [backup-simplify]: Simplify 1 into 1
26.553 * [backup-simplify]: Simplify (/ 1 1) into 1
26.554 * [taylor]: Taking taylor expansion of 2.0 in beta
26.554 * [backup-simplify]: Simplify 2.0 into 2.0
26.554 * [backup-simplify]: Simplify (+ 1 0) into 1
26.554 * [backup-simplify]: Simplify (+ 0 1) into 1
26.555 * [backup-simplify]: Simplify (+ 0 1) into 1
26.555 * [backup-simplify]: Simplify (/ 1 1) into 1
26.556 * [backup-simplify]: Simplify (sqrt 0) into 0
26.557 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
26.557 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
26.557 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
26.557 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.557 * [taylor]: Taking taylor expansion of beta in beta
26.557 * [backup-simplify]: Simplify 0 into 0
26.557 * [backup-simplify]: Simplify 1 into 1
26.558 * [backup-simplify]: Simplify (/ 1 1) into 1
26.558 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.558 * [taylor]: Taking taylor expansion of alpha in beta
26.558 * [backup-simplify]: Simplify alpha into alpha
26.558 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.558 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
26.558 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.558 * [taylor]: Taking taylor expansion of alpha in beta
26.558 * [backup-simplify]: Simplify alpha into alpha
26.558 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.558 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
26.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
26.558 * [taylor]: Taking taylor expansion of 2.0 in beta
26.558 * [backup-simplify]: Simplify 2.0 into 2.0
26.558 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
26.558 * [taylor]: Taking taylor expansion of i in beta
26.558 * [backup-simplify]: Simplify i into i
26.558 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.558 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.558 * [taylor]: Taking taylor expansion of beta in beta
26.558 * [backup-simplify]: Simplify 0 into 0
26.558 * [backup-simplify]: Simplify 1 into 1
26.559 * [backup-simplify]: Simplify (/ 1 1) into 1
26.559 * [backup-simplify]: Simplify (+ 1 0) into 1
26.560 * [backup-simplify]: Simplify (+ 0 1) into 1
26.560 * [backup-simplify]: Simplify (+ 0 1) into 1
26.560 * [backup-simplify]: Simplify (/ 1 1) into 1
26.561 * [backup-simplify]: Simplify (* 0 1) into 0
26.561 * [taylor]: Taking taylor expansion of 0 in alpha
26.561 * [backup-simplify]: Simplify 0 into 0
26.561 * [taylor]: Taking taylor expansion of 0 in i
26.561 * [backup-simplify]: Simplify 0 into 0
26.561 * [backup-simplify]: Simplify 0 into 0
26.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.562 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
26.562 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
26.563 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
26.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.564 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
26.564 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
26.565 * [backup-simplify]: Simplify (- (/ (- (/ 1 alpha)) 1) (+ (* 1 (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))
26.565 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))) (* +nan.0 1)) into (- +nan.0)
26.565 * [taylor]: Taking taylor expansion of (- +nan.0) in alpha
26.565 * [taylor]: Taking taylor expansion of +nan.0 in alpha
26.565 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.566 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
26.566 * [taylor]: Taking taylor expansion of (- +nan.0) in i
26.566 * [taylor]: Taking taylor expansion of +nan.0 in i
26.566 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.566 * [backup-simplify]: Simplify (- 0) into 0
26.566 * [backup-simplify]: Simplify 0 into 0
26.566 * [taylor]: Taking taylor expansion of 0 in i
26.566 * [backup-simplify]: Simplify 0 into 0
26.566 * [backup-simplify]: Simplify 0 into 0
26.567 * [backup-simplify]: Simplify 0 into 0
26.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
26.568 * [backup-simplify]: Simplify (- 0) into 0
26.568 * [backup-simplify]: Simplify (+ 0 0) into 0
26.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
26.569 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
26.569 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
26.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.571 * [backup-simplify]: Simplify (+ 0 0) into 0
26.571 * [backup-simplify]: Simplify (+ 0 0) into 0
26.573 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))))
26.573 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
26.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.574 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.574 * [backup-simplify]: Simplify (+ (/ 2.0 i) 2.0) into (+ (* 2.0 (/ 1 i)) 2.0)
26.575 * [backup-simplify]: Simplify (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) into (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0))
26.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) 1)))) into (- (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)))
26.577 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 alpha) (- (* 2.0 (/ 1 i)) +nan.0)))
26.578 * [backup-simplify]: Simplify (+ (* 0 (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))))) (+ (* +nan.0 (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))) (* (* +nan.0 (+ (/ 1 alpha) (- (* 2.0 (/ 1 i)) +nan.0))) 1))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))))
26.578 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))))) in alpha
26.586 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) in alpha
26.587 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
26.587 * [taylor]: Taking taylor expansion of +nan.0 in alpha
26.587 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.587 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
26.587 * [taylor]: Taking taylor expansion of alpha in alpha
26.587 * [backup-simplify]: Simplify 0 into 0
26.587 * [backup-simplify]: Simplify 1 into 1
26.587 * [backup-simplify]: Simplify (/ 1 1) into 1
26.587 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))) in alpha
26.587 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- +nan.0)) in alpha
26.587 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
26.587 * [taylor]: Taking taylor expansion of +nan.0 in alpha
26.588 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.588 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
26.588 * [taylor]: Taking taylor expansion of i in alpha
26.588 * [backup-simplify]: Simplify i into i
26.588 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.588 * [taylor]: Taking taylor expansion of (- +nan.0) in alpha
26.588 * [taylor]: Taking taylor expansion of +nan.0 in alpha
26.588 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.589 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
26.589 * [backup-simplify]: Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
26.590 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
26.590 * [backup-simplify]: Simplify (+ (/ +nan.0 i) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
26.592 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
26.593 * [backup-simplify]: Simplify (+ 0 (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
26.593 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
26.593 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))) in i
26.593 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- +nan.0)) in i
26.593 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
26.593 * [taylor]: Taking taylor expansion of +nan.0 in i
26.593 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.593 * [taylor]: Taking taylor expansion of (/ 1 i) in i
26.593 * [taylor]: Taking taylor expansion of i in i
26.593 * [backup-simplify]: Simplify 0 into 0
26.593 * [backup-simplify]: Simplify 1 into 1
26.593 * [backup-simplify]: Simplify (/ 1 1) into 1
26.593 * [taylor]: Taking taylor expansion of (- +nan.0) in i
26.593 * [taylor]: Taking taylor expansion of +nan.0 in i
26.593 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.594 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.595 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
26.596 * [backup-simplify]: Simplify (- 0) into 0
26.596 * [backup-simplify]: Simplify (+ 0 0) into 0
26.596 * [backup-simplify]: Simplify (- 0) into 0
26.596 * [backup-simplify]: Simplify 0 into 0
26.597 * [backup-simplify]: Simplify (- 0) into 0
26.597 * [taylor]: Taking taylor expansion of 0 in i
26.597 * [backup-simplify]: Simplify 0 into 0
26.597 * [backup-simplify]: Simplify 0 into 0
26.597 * [backup-simplify]: Simplify 0 into 0
26.598 * [backup-simplify]: Simplify (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) into (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))
26.598 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in (beta alpha i) around 0
26.598 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
26.598 * [taylor]: Taking taylor expansion of -1 in i
26.598 * [backup-simplify]: Simplify -1 into -1
26.598 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
26.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
26.599 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
26.599 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
26.599 * [taylor]: Taking taylor expansion of 2.0 in i
26.599 * [backup-simplify]: Simplify 2.0 into 2.0
26.599 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
26.599 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
26.599 * [taylor]: Taking taylor expansion of alpha in i
26.599 * [backup-simplify]: Simplify alpha into alpha
26.599 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.599 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
26.599 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
26.599 * [taylor]: Taking taylor expansion of 2.0 in i
26.599 * [backup-simplify]: Simplify 2.0 into 2.0
26.599 * [taylor]: Taking taylor expansion of (/ 1 i) in i
26.599 * [taylor]: Taking taylor expansion of i in i
26.599 * [backup-simplify]: Simplify 0 into 0
26.599 * [backup-simplify]: Simplify 1 into 1
26.600 * [backup-simplify]: Simplify (/ 1 1) into 1
26.600 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
26.600 * [taylor]: Taking taylor expansion of beta in i
26.600 * [backup-simplify]: Simplify beta into beta
26.600 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.600 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
26.601 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
26.601 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.602 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
26.604 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
26.605 * [backup-simplify]: Simplify (/ 1 (- 2.0)) into -0.5
26.606 * [backup-simplify]: Simplify (sqrt 0) into 0
26.608 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 0))) into +nan.0
26.608 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
26.608 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
26.608 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
26.608 * [taylor]: Taking taylor expansion of alpha in i
26.608 * [backup-simplify]: Simplify alpha into alpha
26.608 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.608 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
26.608 * [taylor]: Taking taylor expansion of beta in i
26.608 * [backup-simplify]: Simplify beta into beta
26.608 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.608 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
26.608 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
26.608 * [taylor]: Taking taylor expansion of alpha in i
26.609 * [backup-simplify]: Simplify alpha into alpha
26.609 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.609 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
26.609 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
26.609 * [taylor]: Taking taylor expansion of 2.0 in i
26.609 * [backup-simplify]: Simplify 2.0 into 2.0
26.609 * [taylor]: Taking taylor expansion of (/ 1 i) in i
26.609 * [taylor]: Taking taylor expansion of i in i
26.609 * [backup-simplify]: Simplify 0 into 0
26.609 * [backup-simplify]: Simplify 1 into 1
26.610 * [backup-simplify]: Simplify (/ 1 1) into 1
26.610 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
26.610 * [taylor]: Taking taylor expansion of beta in i
26.610 * [backup-simplify]: Simplify beta into beta
26.610 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.610 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
26.610 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
26.611 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
26.611 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
26.612 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.612 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) 2.0) into (* 0.5 (- (/ 1 alpha) (/ 1 beta)))
26.612 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
26.612 * [taylor]: Taking taylor expansion of -1 in alpha
26.612 * [backup-simplify]: Simplify -1 into -1
26.612 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
26.612 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
26.612 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
26.612 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
26.612 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.612 * [backup-simplify]: Simplify 2.0 into 2.0
26.612 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
26.612 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
26.612 * [taylor]: Taking taylor expansion of alpha in alpha
26.612 * [backup-simplify]: Simplify 0 into 0
26.612 * [backup-simplify]: Simplify 1 into 1
26.612 * [backup-simplify]: Simplify (/ 1 1) into 1
26.612 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
26.613 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
26.613 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.613 * [backup-simplify]: Simplify 2.0 into 2.0
26.613 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
26.613 * [taylor]: Taking taylor expansion of i in alpha
26.613 * [backup-simplify]: Simplify i into i
26.613 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.613 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
26.613 * [taylor]: Taking taylor expansion of beta in alpha
26.613 * [backup-simplify]: Simplify beta into beta
26.613 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.613 * [backup-simplify]: Simplify (+ 1 0) into 1
26.613 * [backup-simplify]: Simplify (- 1) into -1
26.614 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.614 * [backup-simplify]: Simplify (/ 1 -1) into -1
26.614 * [backup-simplify]: Simplify (sqrt 0) into 0
26.615 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
26.615 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
26.615 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
26.615 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
26.615 * [taylor]: Taking taylor expansion of alpha in alpha
26.615 * [backup-simplify]: Simplify 0 into 0
26.615 * [backup-simplify]: Simplify 1 into 1
26.615 * [backup-simplify]: Simplify (/ 1 1) into 1
26.615 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
26.615 * [taylor]: Taking taylor expansion of beta in alpha
26.615 * [backup-simplify]: Simplify beta into beta
26.616 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.616 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
26.616 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
26.616 * [taylor]: Taking taylor expansion of alpha in alpha
26.616 * [backup-simplify]: Simplify 0 into 0
26.616 * [backup-simplify]: Simplify 1 into 1
26.616 * [backup-simplify]: Simplify (/ 1 1) into 1
26.616 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
26.616 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
26.616 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.616 * [backup-simplify]: Simplify 2.0 into 2.0
26.616 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
26.616 * [taylor]: Taking taylor expansion of i in alpha
26.616 * [backup-simplify]: Simplify i into i
26.616 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.616 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
26.616 * [taylor]: Taking taylor expansion of beta in alpha
26.616 * [backup-simplify]: Simplify beta into beta
26.616 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
26.616 * [backup-simplify]: Simplify (+ 1 0) into 1
26.617 * [backup-simplify]: Simplify (+ 1 0) into 1
26.617 * [backup-simplify]: Simplify (/ 1 1) into 1
26.617 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
26.617 * [taylor]: Taking taylor expansion of -1 in beta
26.617 * [backup-simplify]: Simplify -1 into -1
26.617 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
26.617 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
26.617 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
26.617 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
26.617 * [taylor]: Taking taylor expansion of 2.0 in beta
26.617 * [backup-simplify]: Simplify 2.0 into 2.0
26.617 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
26.617 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.617 * [taylor]: Taking taylor expansion of alpha in beta
26.617 * [backup-simplify]: Simplify alpha into alpha
26.617 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.617 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
26.617 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
26.617 * [taylor]: Taking taylor expansion of 2.0 in beta
26.617 * [backup-simplify]: Simplify 2.0 into 2.0
26.617 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
26.617 * [taylor]: Taking taylor expansion of i in beta
26.617 * [backup-simplify]: Simplify i into i
26.617 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.617 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.617 * [taylor]: Taking taylor expansion of beta in beta
26.618 * [backup-simplify]: Simplify 0 into 0
26.618 * [backup-simplify]: Simplify 1 into 1
26.618 * [backup-simplify]: Simplify (/ 1 1) into 1
26.618 * [backup-simplify]: Simplify (+ 0 1) into 1
26.619 * [backup-simplify]: Simplify (+ 0 1) into 1
26.619 * [backup-simplify]: Simplify (- 1) into -1
26.619 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.619 * [backup-simplify]: Simplify (/ 1 -1) into -1
26.620 * [backup-simplify]: Simplify (sqrt 0) into 0
26.620 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
26.620 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
26.621 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
26.621 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.621 * [taylor]: Taking taylor expansion of alpha in beta
26.621 * [backup-simplify]: Simplify alpha into alpha
26.621 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.621 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.621 * [taylor]: Taking taylor expansion of beta in beta
26.621 * [backup-simplify]: Simplify 0 into 0
26.621 * [backup-simplify]: Simplify 1 into 1
26.621 * [backup-simplify]: Simplify (/ 1 1) into 1
26.621 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
26.621 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.621 * [taylor]: Taking taylor expansion of alpha in beta
26.621 * [backup-simplify]: Simplify alpha into alpha
26.621 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.621 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
26.621 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
26.621 * [taylor]: Taking taylor expansion of 2.0 in beta
26.621 * [backup-simplify]: Simplify 2.0 into 2.0
26.621 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
26.621 * [taylor]: Taking taylor expansion of i in beta
26.621 * [backup-simplify]: Simplify i into i
26.621 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.621 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.621 * [taylor]: Taking taylor expansion of beta in beta
26.621 * [backup-simplify]: Simplify 0 into 0
26.621 * [backup-simplify]: Simplify 1 into 1
26.622 * [backup-simplify]: Simplify (/ 1 1) into 1
26.622 * [backup-simplify]: Simplify (- 1) into -1
26.622 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.622 * [backup-simplify]: Simplify (+ 0 1) into 1
26.623 * [backup-simplify]: Simplify (+ 0 1) into 1
26.623 * [backup-simplify]: Simplify (/ -1 1) into -1
26.623 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
26.623 * [taylor]: Taking taylor expansion of -1 in beta
26.623 * [backup-simplify]: Simplify -1 into -1
26.623 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
26.623 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
26.623 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
26.623 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
26.623 * [taylor]: Taking taylor expansion of 2.0 in beta
26.623 * [backup-simplify]: Simplify 2.0 into 2.0
26.623 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
26.624 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.624 * [taylor]: Taking taylor expansion of alpha in beta
26.624 * [backup-simplify]: Simplify alpha into alpha
26.624 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.624 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
26.624 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
26.624 * [taylor]: Taking taylor expansion of 2.0 in beta
26.624 * [backup-simplify]: Simplify 2.0 into 2.0
26.624 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
26.624 * [taylor]: Taking taylor expansion of i in beta
26.624 * [backup-simplify]: Simplify i into i
26.624 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.624 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.624 * [taylor]: Taking taylor expansion of beta in beta
26.624 * [backup-simplify]: Simplify 0 into 0
26.624 * [backup-simplify]: Simplify 1 into 1
26.624 * [backup-simplify]: Simplify (/ 1 1) into 1
26.625 * [backup-simplify]: Simplify (+ 0 1) into 1
26.625 * [backup-simplify]: Simplify (+ 0 1) into 1
26.626 * [backup-simplify]: Simplify (- 1) into -1
26.627 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.627 * [backup-simplify]: Simplify (/ 1 -1) into -1
26.627 * [backup-simplify]: Simplify (sqrt 0) into 0
26.629 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
26.629 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
26.629 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
26.629 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.629 * [taylor]: Taking taylor expansion of alpha in beta
26.629 * [backup-simplify]: Simplify alpha into alpha
26.629 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.629 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.629 * [taylor]: Taking taylor expansion of beta in beta
26.629 * [backup-simplify]: Simplify 0 into 0
26.629 * [backup-simplify]: Simplify 1 into 1
26.630 * [backup-simplify]: Simplify (/ 1 1) into 1
26.630 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
26.630 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
26.630 * [taylor]: Taking taylor expansion of alpha in beta
26.630 * [backup-simplify]: Simplify alpha into alpha
26.630 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
26.630 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
26.630 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
26.630 * [taylor]: Taking taylor expansion of 2.0 in beta
26.630 * [backup-simplify]: Simplify 2.0 into 2.0
26.630 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
26.630 * [taylor]: Taking taylor expansion of i in beta
26.630 * [backup-simplify]: Simplify i into i
26.630 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.630 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
26.630 * [taylor]: Taking taylor expansion of beta in beta
26.630 * [backup-simplify]: Simplify 0 into 0
26.630 * [backup-simplify]: Simplify 1 into 1
26.630 * [backup-simplify]: Simplify (/ 1 1) into 1
26.631 * [backup-simplify]: Simplify (- 1) into -1
26.631 * [backup-simplify]: Simplify (+ 0 -1) into -1
26.631 * [backup-simplify]: Simplify (+ 0 1) into 1
26.632 * [backup-simplify]: Simplify (+ 0 1) into 1
26.632 * [backup-simplify]: Simplify (/ -1 1) into -1
26.632 * [backup-simplify]: Simplify (* 0 -1) into 0
26.633 * [backup-simplify]: Simplify (* -1 0) into 0
26.633 * [taylor]: Taking taylor expansion of 0 in alpha
26.633 * [backup-simplify]: Simplify 0 into 0
26.633 * [taylor]: Taking taylor expansion of 0 in i
26.633 * [backup-simplify]: Simplify 0 into 0
26.633 * [backup-simplify]: Simplify 0 into 0
26.633 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.633 * [backup-simplify]: Simplify (- 0) into 0
26.633 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
26.634 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
26.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.903 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
26.904 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
26.904 * [backup-simplify]: Simplify (- (/ (/ 1 alpha) 1) (+ (* -1 (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))
26.914 * [backup-simplify]: Simplify (+ (* 0 (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (* +nan.0 -1)) into (- +nan.0)
26.916 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0)
26.916 * [taylor]: Taking taylor expansion of (- +nan.0) in alpha
26.916 * [taylor]: Taking taylor expansion of +nan.0 in alpha
26.916 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.917 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
26.917 * [taylor]: Taking taylor expansion of (- +nan.0) in i
26.917 * [taylor]: Taking taylor expansion of +nan.0 in i
26.917 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.917 * [backup-simplify]: Simplify (- 0) into 0
26.917 * [backup-simplify]: Simplify 0 into 0
26.917 * [taylor]: Taking taylor expansion of 0 in i
26.917 * [backup-simplify]: Simplify 0 into 0
26.917 * [backup-simplify]: Simplify 0 into 0
26.917 * [backup-simplify]: Simplify 0 into 0
26.918 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
26.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.919 * [backup-simplify]: Simplify (- 0) into 0
26.928 * [backup-simplify]: Simplify (+ 0 0) into 0
26.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
26.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
26.930 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
26.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.931 * [backup-simplify]: Simplify (+ 0 0) into 0
26.931 * [backup-simplify]: Simplify (+ 0 0) into 0
26.933 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))) (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (- (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))))
26.935 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
26.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.936 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
26.937 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
26.937 * [backup-simplify]: Simplify (- (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) into (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
26.937 * [backup-simplify]: Simplify (+ 2.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))) into (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
26.937 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) -1)))) into (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 2.0)
26.948 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 2.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))) +nan.0))
26.949 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))))) (+ (* +nan.0 (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (* (* +nan.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))) +nan.0)) -1))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))))
26.950 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))))
26.950 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))))) in alpha
26.950 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) in alpha
26.950 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
26.950 * [taylor]: Taking taylor expansion of +nan.0 in alpha
26.950 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.950 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
26.950 * [taylor]: Taking taylor expansion of alpha in alpha
26.950 * [backup-simplify]: Simplify 0 into 0
26.950 * [backup-simplify]: Simplify 1 into 1
26.950 * [backup-simplify]: Simplify (/ 1 1) into 1
26.950 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))) in alpha
26.950 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- +nan.0)) in alpha
26.950 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
26.950 * [taylor]: Taking taylor expansion of +nan.0 in alpha
26.950 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.951 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
26.951 * [taylor]: Taking taylor expansion of i in alpha
26.951 * [backup-simplify]: Simplify i into i
26.951 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
26.951 * [taylor]: Taking taylor expansion of (- +nan.0) in alpha
26.951 * [taylor]: Taking taylor expansion of +nan.0 in alpha
26.951 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.952 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
26.952 * [backup-simplify]: Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
26.953 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
26.953 * [backup-simplify]: Simplify (+ (/ +nan.0 i) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
26.954 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
26.955 * [backup-simplify]: Simplify (+ 0 (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
26.957 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
26.957 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))) in i
26.957 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- +nan.0)) in i
26.957 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
26.957 * [taylor]: Taking taylor expansion of +nan.0 in i
26.957 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.957 * [taylor]: Taking taylor expansion of (/ 1 i) in i
26.958 * [taylor]: Taking taylor expansion of i in i
26.958 * [backup-simplify]: Simplify 0 into 0
26.958 * [backup-simplify]: Simplify 1 into 1
26.958 * [backup-simplify]: Simplify (/ 1 1) into 1
26.958 * [taylor]: Taking taylor expansion of (- +nan.0) in i
26.958 * [taylor]: Taking taylor expansion of +nan.0 in i
26.958 * [backup-simplify]: Simplify +nan.0 into +nan.0
26.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
26.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
26.960 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
26.961 * [backup-simplify]: Simplify (- 0) into 0
26.961 * [backup-simplify]: Simplify (+ 0 0) into 0
26.961 * [backup-simplify]: Simplify (- 0) into 0
26.961 * [backup-simplify]: Simplify 0 into 0
26.961 * [backup-simplify]: Simplify (- 0) into 0
26.961 * [taylor]: Taking taylor expansion of 0 in i
26.962 * [backup-simplify]: Simplify 0 into 0
26.962 * [backup-simplify]: Simplify 0 into 0
26.962 * [backup-simplify]: Simplify 0 into 0
26.965 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
26.966 * [backup-simplify]: Simplify (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) into (* (+ alpha beta) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
26.966 * [approximate]: Taking taylor expansion of (* (+ alpha beta) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
26.966 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
26.966 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
26.966 * [taylor]: Taking taylor expansion of alpha in i
26.966 * [backup-simplify]: Simplify alpha into alpha
26.966 * [taylor]: Taking taylor expansion of beta in i
26.966 * [backup-simplify]: Simplify beta into beta
26.966 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
26.966 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
26.966 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
26.966 * [taylor]: Taking taylor expansion of alpha in i
26.966 * [backup-simplify]: Simplify alpha into alpha
26.966 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
26.966 * [taylor]: Taking taylor expansion of 2.0 in i
26.966 * [backup-simplify]: Simplify 2.0 into 2.0
26.966 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
26.967 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
26.967 * [taylor]: Taking taylor expansion of 2.0 in i
26.967 * [backup-simplify]: Simplify 2.0 into 2.0
26.967 * [taylor]: Taking taylor expansion of i in i
26.967 * [backup-simplify]: Simplify 0 into 0
26.967 * [backup-simplify]: Simplify 1 into 1
26.967 * [taylor]: Taking taylor expansion of beta in i
26.967 * [backup-simplify]: Simplify beta into beta
26.967 * [backup-simplify]: Simplify (* 2.0 0) into 0
26.967 * [backup-simplify]: Simplify (+ 0 beta) into beta
26.967 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
26.968 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
26.968 * [backup-simplify]: Simplify (/ 1 (+ alpha (+ beta 2.0))) into (/ 1 (+ alpha (+ beta 2.0)))
26.968 * [backup-simplify]: Simplify (sqrt (/ 1 (+ alpha (+ beta 2.0)))) into (sqrt (/ 1 (+ alpha (+ beta 2.0))))
26.969 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
26.970 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
26.970 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.970 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ alpha (+ beta 2.0))) (/ 2.0 (+ alpha (+ beta 2.0)))))) into (- (* 2.0 (/ 1 (pow (+ alpha (+ beta 2.0)) 2))))
26.971 * [backup-simplify]: Simplify (/ (- (* 2.0 (/ 1 (pow (+ alpha (+ beta 2.0)) 2)))) (* 2 (sqrt (/ 1 (+ alpha (+ beta 2.0)))))) into (* -1.0 (sqrt (/ 1 (pow (+ alpha (+ beta 2.0)) 3))))
26.971 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
26.971 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
26.971 * [taylor]: Taking taylor expansion of alpha in beta
26.971 * [backup-simplify]: Simplify alpha into alpha
26.971 * [taylor]: Taking taylor expansion of beta in beta
26.971 * [backup-simplify]: Simplify 0 into 0
26.971 * [backup-simplify]: Simplify 1 into 1
26.971 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
26.971 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
26.971 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
26.971 * [taylor]: Taking taylor expansion of alpha in beta
26.971 * [backup-simplify]: Simplify alpha into alpha
26.971 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
26.971 * [taylor]: Taking taylor expansion of 2.0 in beta
26.971 * [backup-simplify]: Simplify 2.0 into 2.0
26.971 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
26.971 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
26.971 * [taylor]: Taking taylor expansion of 2.0 in beta
26.971 * [backup-simplify]: Simplify 2.0 into 2.0
26.971 * [taylor]: Taking taylor expansion of i in beta
26.971 * [backup-simplify]: Simplify i into i
26.971 * [taylor]: Taking taylor expansion of beta in beta
26.971 * [backup-simplify]: Simplify 0 into 0
26.971 * [backup-simplify]: Simplify 1 into 1
26.971 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.971 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
26.972 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
26.972 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
26.972 * [backup-simplify]: Simplify (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) into (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))
26.972 * [backup-simplify]: Simplify (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))
26.972 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.972 * [backup-simplify]: Simplify (+ 0 1) into 1
26.973 * [backup-simplify]: Simplify (+ 0 1) into 1
26.973 * [backup-simplify]: Simplify (+ 0 1) into 1
26.973 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))
26.973 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (* 2 (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))
26.974 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
26.974 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
26.974 * [taylor]: Taking taylor expansion of alpha in alpha
26.974 * [backup-simplify]: Simplify 0 into 0
26.974 * [backup-simplify]: Simplify 1 into 1
26.974 * [taylor]: Taking taylor expansion of beta in alpha
26.974 * [backup-simplify]: Simplify beta into beta
26.974 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
26.974 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
26.974 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
26.974 * [taylor]: Taking taylor expansion of alpha in alpha
26.974 * [backup-simplify]: Simplify 0 into 0
26.974 * [backup-simplify]: Simplify 1 into 1
26.974 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
26.974 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.974 * [backup-simplify]: Simplify 2.0 into 2.0
26.974 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
26.974 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.974 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.974 * [backup-simplify]: Simplify 2.0 into 2.0
26.974 * [taylor]: Taking taylor expansion of i in alpha
26.974 * [backup-simplify]: Simplify i into i
26.974 * [taylor]: Taking taylor expansion of beta in alpha
26.974 * [backup-simplify]: Simplify beta into beta
26.974 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.974 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
26.974 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
26.974 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
26.974 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) (+ beta 2.0))) into (/ 1 (+ (* 2.0 i) (+ beta 2.0)))
26.974 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))) into (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0))))
26.975 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.975 * [backup-simplify]: Simplify (+ 0 0) into 0
26.976 * [backup-simplify]: Simplify (+ 0 0) into 0
26.976 * [backup-simplify]: Simplify (+ 1 0) into 1
26.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) (+ beta 2.0))) (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (- (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))
26.977 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))
26.977 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
26.977 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
26.977 * [taylor]: Taking taylor expansion of alpha in alpha
26.977 * [backup-simplify]: Simplify 0 into 0
26.977 * [backup-simplify]: Simplify 1 into 1
26.977 * [taylor]: Taking taylor expansion of beta in alpha
26.977 * [backup-simplify]: Simplify beta into beta
26.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
26.977 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
26.977 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
26.977 * [taylor]: Taking taylor expansion of alpha in alpha
26.977 * [backup-simplify]: Simplify 0 into 0
26.977 * [backup-simplify]: Simplify 1 into 1
26.977 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
26.978 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.978 * [backup-simplify]: Simplify 2.0 into 2.0
26.978 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
26.978 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
26.978 * [taylor]: Taking taylor expansion of 2.0 in alpha
26.978 * [backup-simplify]: Simplify 2.0 into 2.0
26.978 * [taylor]: Taking taylor expansion of i in alpha
26.978 * [backup-simplify]: Simplify i into i
26.978 * [taylor]: Taking taylor expansion of beta in alpha
26.978 * [backup-simplify]: Simplify beta into beta
26.978 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.978 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
26.978 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
26.978 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
26.978 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) (+ beta 2.0))) into (/ 1 (+ (* 2.0 i) (+ beta 2.0)))
26.979 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))) into (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0))))
26.979 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.980 * [backup-simplify]: Simplify (+ 0 0) into 0
26.980 * [backup-simplify]: Simplify (+ 0 0) into 0
26.980 * [backup-simplify]: Simplify (+ 1 0) into 1
26.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) (+ beta 2.0))) (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (- (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))
26.981 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))
26.981 * [backup-simplify]: Simplify (+ 0 beta) into beta
26.982 * [backup-simplify]: Simplify (* beta (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0))))) into (* (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))) beta)
26.982 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))) beta) in beta
26.982 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))) in beta
26.982 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) (+ beta 2.0))) in beta
26.982 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
26.982 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
26.982 * [taylor]: Taking taylor expansion of 2.0 in beta
26.982 * [backup-simplify]: Simplify 2.0 into 2.0
26.982 * [taylor]: Taking taylor expansion of i in beta
26.982 * [backup-simplify]: Simplify i into i
26.982 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
26.982 * [taylor]: Taking taylor expansion of beta in beta
26.982 * [backup-simplify]: Simplify 0 into 0
26.982 * [backup-simplify]: Simplify 1 into 1
26.982 * [taylor]: Taking taylor expansion of 2.0 in beta
26.982 * [backup-simplify]: Simplify 2.0 into 2.0
26.982 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.983 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.983 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.983 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
26.983 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
26.983 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.984 * [backup-simplify]: Simplify (+ 1 0) into 1
26.984 * [backup-simplify]: Simplify (+ 0 1) into 1
26.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
26.985 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
26.985 * [taylor]: Taking taylor expansion of beta in beta
26.985 * [backup-simplify]: Simplify 0 into 0
26.985 * [backup-simplify]: Simplify 1 into 1
26.985 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) 0) into 0
26.985 * [taylor]: Taking taylor expansion of 0 in i
26.985 * [backup-simplify]: Simplify 0 into 0
26.985 * [backup-simplify]: Simplify 0 into 0
26.986 * [backup-simplify]: Simplify (+ 1 0) into 1
26.987 * [backup-simplify]: Simplify (+ (* beta (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) (* 1 (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (- (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))) (* 1/2 (* (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) beta)))
26.987 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))) (* 1/2 (* (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) beta))) in beta
26.987 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))) in beta
26.987 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) (+ beta 2.0))) in beta
26.987 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
26.987 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
26.987 * [taylor]: Taking taylor expansion of 2.0 in beta
26.987 * [backup-simplify]: Simplify 2.0 into 2.0
26.987 * [taylor]: Taking taylor expansion of i in beta
26.987 * [backup-simplify]: Simplify i into i
26.987 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
26.987 * [taylor]: Taking taylor expansion of beta in beta
26.987 * [backup-simplify]: Simplify 0 into 0
26.987 * [backup-simplify]: Simplify 1 into 1
26.987 * [taylor]: Taking taylor expansion of 2.0 in beta
26.987 * [backup-simplify]: Simplify 2.0 into 2.0
26.988 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.988 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.989 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.989 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
26.989 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
26.989 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.990 * [backup-simplify]: Simplify (+ 1 0) into 1
26.991 * [backup-simplify]: Simplify (+ 0 1) into 1
26.991 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
26.991 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
26.992 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) beta)) in beta
26.992 * [taylor]: Taking taylor expansion of 1/2 in beta
26.992 * [backup-simplify]: Simplify 1/2 into 1/2
26.992 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) beta) in beta
26.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
26.992 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
26.992 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
26.992 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
26.992 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
26.992 * [taylor]: Taking taylor expansion of 2.0 in beta
26.992 * [backup-simplify]: Simplify 2.0 into 2.0
26.992 * [taylor]: Taking taylor expansion of i in beta
26.992 * [backup-simplify]: Simplify i into i
26.992 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
26.992 * [taylor]: Taking taylor expansion of beta in beta
26.992 * [backup-simplify]: Simplify 0 into 0
26.992 * [backup-simplify]: Simplify 1 into 1
26.992 * [taylor]: Taking taylor expansion of 2.0 in beta
26.992 * [backup-simplify]: Simplify 2.0 into 2.0
26.992 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
26.992 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.992 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
26.992 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
26.993 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
26.993 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 3))
26.993 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))
26.993 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
26.994 * [backup-simplify]: Simplify (+ 1 0) into 1
26.994 * [backup-simplify]: Simplify (+ 0 1) into 1
26.994 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
26.994 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ (* 4.0 i) 4.0)) (* 1 (pow (+ (* 2.0 i) 2.0) 2))) into (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0))
26.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) (/ (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0)) (pow (+ (* 2.0 i) 2.0) 3))))) into (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6))))))
26.996 * [backup-simplify]: Simplify (/ (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 3)) (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))))
26.997 * [taylor]: Taking taylor expansion of beta in beta
26.997 * [backup-simplify]: Simplify 0 into 0
26.997 * [backup-simplify]: Simplify 1 into 1
26.997 * [backup-simplify]: Simplify (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) 0) into 0
26.997 * [backup-simplify]: Simplify (* 1/2 0) into 0
26.998 * [backup-simplify]: Simplify (- 0) into 0
26.998 * [backup-simplify]: Simplify (+ (sqrt (/ 1 (+ (* 2.0 i) 2.0))) 0) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
26.998 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 2.0 i) 2.0))) in i
26.998 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) 2.0)) in i
26.998 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
26.998 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
26.998 * [taylor]: Taking taylor expansion of 2.0 in i
26.998 * [backup-simplify]: Simplify 2.0 into 2.0
26.998 * [taylor]: Taking taylor expansion of i in i
26.998 * [backup-simplify]: Simplify 0 into 0
26.998 * [backup-simplify]: Simplify 1 into 1
26.998 * [taylor]: Taking taylor expansion of 2.0 in i
26.998 * [backup-simplify]: Simplify 2.0 into 2.0
26.998 * [backup-simplify]: Simplify (* 2.0 0) into 0
26.998 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
26.999 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
26.999 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
27.001 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
27.001 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
27.004 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
27.006 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5))
27.007 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
27.010 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) 1) (* (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))) 0)) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
27.010 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 2.0 i) 2.0))) in i
27.010 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) 2.0)) in i
27.010 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
27.010 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
27.010 * [taylor]: Taking taylor expansion of 2.0 in i
27.010 * [backup-simplify]: Simplify 2.0 into 2.0
27.010 * [taylor]: Taking taylor expansion of i in i
27.010 * [backup-simplify]: Simplify 0 into 0
27.010 * [backup-simplify]: Simplify 1 into 1
27.010 * [taylor]: Taking taylor expansion of 2.0 in i
27.010 * [backup-simplify]: Simplify 2.0 into 2.0
27.011 * [backup-simplify]: Simplify (* 2.0 0) into 0
27.011 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.012 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
27.014 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
27.016 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
27.016 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
27.017 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
27.018 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5))
27.019 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
27.019 * [backup-simplify]: Simplify 0 into 0
27.020 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
27.020 * [backup-simplify]: Simplify (+ 0 0) into 0
27.020 * [backup-simplify]: Simplify (+ 0 0) into 0
27.020 * [backup-simplify]: Simplify (+ 0 0) into 0
27.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) (+ beta 2.0))) (/ 0 (+ (* 2.0 i) (+ beta 2.0)))) (* (- (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))
27.022 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) (pow (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) 2) (+)) (* 2 (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (* 3/8 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 5))))
27.022 * [backup-simplify]: Simplify (+ 0 0) into 0
27.023 * [backup-simplify]: Simplify (+ (* beta (* 3/8 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 5))))) (+ (* 1 (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) (* 0 (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0))))))) into (- (* 3/8 (* (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 5))) beta)) (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))
27.023 * [taylor]: Taking taylor expansion of (- (* 3/8 (* (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 5))) beta)) (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
27.023 * [taylor]: Taking taylor expansion of (* 3/8 (* (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 5))) beta)) in beta
27.023 * [taylor]: Taking taylor expansion of 3/8 in beta
27.023 * [backup-simplify]: Simplify 3/8 into 3/8
27.023 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 5))) beta) in beta
27.023 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 5))) in beta
27.023 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 5)) in beta
27.023 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 5) in beta
27.023 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.023 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.023 * [taylor]: Taking taylor expansion of 2.0 in beta
27.023 * [backup-simplify]: Simplify 2.0 into 2.0
27.023 * [taylor]: Taking taylor expansion of i in beta
27.023 * [backup-simplify]: Simplify i into i
27.023 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.023 * [taylor]: Taking taylor expansion of beta in beta
27.023 * [backup-simplify]: Simplify 0 into 0
27.023 * [backup-simplify]: Simplify 1 into 1
27.023 * [taylor]: Taking taylor expansion of 2.0 in beta
27.023 * [backup-simplify]: Simplify 2.0 into 2.0
27.023 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.023 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.024 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.024 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.024 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.024 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 4)) into (pow (+ (* 2.0 i) 2.0) 5)
27.025 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 5)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 5))
27.025 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 5))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 5)))
27.025 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
27.026 * [backup-simplify]: Simplify (+ 1 0) into 1
27.026 * [backup-simplify]: Simplify (+ 0 1) into 1
27.026 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
27.027 * [backup-simplify]: Simplify (+ (* (pow (+ (* 2.0 i) 2.0) 2) (+ (* 4.0 i) 4.0)) (* (+ (* 4.0 i) 4.0) (pow (+ (* 2.0 i) 2.0) 2))) into (+ 32.0 (+ (* 32.0 (pow i 3)) (+ (* 96.0 (pow i 2)) (* 96.0 i))))
27.028 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ 32.0 (+ (* 32.0 (pow i 3)) (+ (* 96.0 (pow i 2)) (* 96.0 i))))) (* 1 (pow (+ (* 2.0 i) 2.0) 4))) into (+ 80.0 (+ (* 320.0 (pow i 3)) (+ (* 480.0 (pow i 2)) (+ (* 80.0 (pow i 4)) (* 320.0 i)))))
27.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 5)) (/ (+ 80.0 (+ (* 320.0 (pow i 3)) (+ (* 480.0 (pow i 2)) (+ (* 80.0 (pow i 4)) (* 320.0 i))))) (pow (+ (* 2.0 i) 2.0) 5))))) into (- (+ (* 320.0 (/ (pow i 3) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 480.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 320.0 (/ i (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 80.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 10))) (* 80.0 (/ (pow i 4) (pow (+ (* 2.0 i) 2.0) 10))))))))
27.034 * [backup-simplify]: Simplify (/ (- (+ (* 320.0 (/ (pow i 3) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 480.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 320.0 (/ i (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 80.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 10))) (* 80.0 (/ (pow i 4) (pow (+ (* 2.0 i) 2.0) 10)))))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 5))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 5)) (+ (* 320.0 (/ (pow i 3) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 480.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 320.0 (/ i (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 80.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 10))) (* 80.0 (/ (pow i 4) (pow (+ (* 2.0 i) 2.0) 10)))))))))
27.034 * [taylor]: Taking taylor expansion of beta in beta
27.034 * [backup-simplify]: Simplify 0 into 0
27.034 * [backup-simplify]: Simplify 1 into 1
27.034 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
27.034 * [taylor]: Taking taylor expansion of 1/2 in beta
27.034 * [backup-simplify]: Simplify 1/2 into 1/2
27.034 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
27.034 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
27.034 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
27.034 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.034 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.034 * [taylor]: Taking taylor expansion of 2.0 in beta
27.034 * [backup-simplify]: Simplify 2.0 into 2.0
27.034 * [taylor]: Taking taylor expansion of i in beta
27.034 * [backup-simplify]: Simplify i into i
27.034 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.034 * [taylor]: Taking taylor expansion of beta in beta
27.034 * [backup-simplify]: Simplify 0 into 0
27.034 * [backup-simplify]: Simplify 1 into 1
27.034 * [taylor]: Taking taylor expansion of 2.0 in beta
27.034 * [backup-simplify]: Simplify 2.0 into 2.0
27.034 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.035 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.035 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.035 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.036 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
27.036 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 3))
27.036 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))
27.037 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
27.037 * [backup-simplify]: Simplify (+ 1 0) into 1
27.037 * [backup-simplify]: Simplify (+ 0 1) into 1
27.038 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
27.038 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ (* 4.0 i) 4.0)) (* 1 (pow (+ (* 2.0 i) 2.0) 2))) into (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0))
27.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) (/ (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0)) (pow (+ (* 2.0 i) 2.0) 3))))) into (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6))))))
27.041 * [backup-simplify]: Simplify (/ (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 3)) (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))))
27.041 * [backup-simplify]: Simplify (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 5))) 0) into 0
27.042 * [backup-simplify]: Simplify (* 3/8 0) into 0
27.042 * [backup-simplify]: Simplify (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))) into (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
27.043 * [backup-simplify]: Simplify (- (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))) into (- (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))))
27.043 * [backup-simplify]: Simplify (+ 0 (- (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))))) into (- (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))))
27.043 * [taylor]: Taking taylor expansion of (- (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))) in i
27.043 * [taylor]: Taking taylor expansion of (* 1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))) in i
27.043 * [taylor]: Taking taylor expansion of 1/2 in i
27.043 * [backup-simplify]: Simplify 1/2 into 1/2
27.043 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) in i
27.043 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) in i
27.043 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 3) in i
27.043 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
27.043 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
27.043 * [taylor]: Taking taylor expansion of 2.0 in i
27.043 * [backup-simplify]: Simplify 2.0 into 2.0
27.043 * [taylor]: Taking taylor expansion of i in i
27.044 * [backup-simplify]: Simplify 0 into 0
27.044 * [backup-simplify]: Simplify 1 into 1
27.044 * [taylor]: Taking taylor expansion of 2.0 in i
27.044 * [backup-simplify]: Simplify 2.0 into 2.0
27.044 * [backup-simplify]: Simplify (* 2.0 0) into 0
27.046 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.047 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
27.047 * [backup-simplify]: Simplify (* 2.0 4.0) into 8.0
27.048 * [backup-simplify]: Simplify (/ 1 8.0) into 0.125
27.048 * [backup-simplify]: Simplify (sqrt 0.125) into (sqrt 0.125)
27.050 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
27.050 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
27.051 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
27.052 * [backup-simplify]: Simplify (+ (* 2.0 8.0) (* 2.0 4.0)) into 24.0
27.063 * [backup-simplify]: Simplify (- (+ (* 0.125 (/ 24.0 8.0)))) into (- 0.375)
27.066 * [backup-simplify]: Simplify (/ (- 0.375) (* 2 (sqrt 0.125))) into (/ -0.1875 (sqrt 0.125))
27.067 * [backup-simplify]: Simplify (* 1/2 (sqrt 0.125)) into (* 1/2 (sqrt 0.125))
27.068 * [backup-simplify]: Simplify (- (* 1/2 (sqrt 0.125))) into (- (* 1/2 (sqrt 0.125)))
27.070 * [backup-simplify]: Simplify (- (* 1/2 (sqrt 0.125))) into (- (* 1/2 (sqrt 0.125)))
27.087 * [backup-simplify]: Simplify (+ (* (- (* 1/2 (sqrt 0.125))) (pow (* 1 (* 1 alpha)) 2)) (+ (* (sqrt 0.5) (* 1 (* beta 1))) (* (sqrt 0.5) (* 1 (* 1 alpha))))) into (- (+ (* alpha (sqrt 0.5)) (* (sqrt 0.5) beta)) (* 1/2 (* (sqrt 0.125) (pow alpha 2))))
27.088 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 alpha) (/ 1 beta)) 1) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) into (* (+ (/ 1 alpha) (/ 1 beta)) (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))
27.088 * [approximate]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in (alpha beta i) around 0
27.088 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
27.088 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
27.088 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
27.088 * [taylor]: Taking taylor expansion of alpha in i
27.088 * [backup-simplify]: Simplify alpha into alpha
27.088 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
27.088 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
27.088 * [taylor]: Taking taylor expansion of beta in i
27.088 * [backup-simplify]: Simplify beta into beta
27.088 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.088 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
27.088 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
27.088 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
27.088 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
27.088 * [taylor]: Taking taylor expansion of alpha in i
27.088 * [backup-simplify]: Simplify alpha into alpha
27.088 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
27.088 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
27.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
27.088 * [taylor]: Taking taylor expansion of 2.0 in i
27.088 * [backup-simplify]: Simplify 2.0 into 2.0
27.088 * [taylor]: Taking taylor expansion of (/ 1 i) in i
27.088 * [taylor]: Taking taylor expansion of i in i
27.088 * [backup-simplify]: Simplify 0 into 0
27.088 * [backup-simplify]: Simplify 1 into 1
27.089 * [backup-simplify]: Simplify (/ 1 1) into 1
27.089 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
27.089 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
27.089 * [taylor]: Taking taylor expansion of beta in i
27.089 * [backup-simplify]: Simplify beta into beta
27.089 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.089 * [taylor]: Taking taylor expansion of 2.0 in i
27.089 * [backup-simplify]: Simplify 2.0 into 2.0
27.090 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
27.094 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
27.095 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.096 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
27.096 * [backup-simplify]: Simplify (sqrt 0) into 0
27.097 * [backup-simplify]: Simplify (/ 0.5 (* 2 (sqrt 0))) into +nan.0
27.097 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
27.097 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
27.097 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
27.098 * [taylor]: Taking taylor expansion of alpha in beta
27.098 * [backup-simplify]: Simplify alpha into alpha
27.098 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
27.098 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
27.098 * [taylor]: Taking taylor expansion of beta in beta
27.098 * [backup-simplify]: Simplify 0 into 0
27.098 * [backup-simplify]: Simplify 1 into 1
27.098 * [backup-simplify]: Simplify (/ 1 1) into 1
27.098 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
27.098 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
27.098 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
27.102 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
27.102 * [taylor]: Taking taylor expansion of alpha in beta
27.102 * [backup-simplify]: Simplify alpha into alpha
27.103 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
27.103 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
27.103 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
27.103 * [taylor]: Taking taylor expansion of 2.0 in beta
27.103 * [backup-simplify]: Simplify 2.0 into 2.0
27.103 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
27.103 * [taylor]: Taking taylor expansion of i in beta
27.103 * [backup-simplify]: Simplify i into i
27.103 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.103 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
27.103 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
27.103 * [taylor]: Taking taylor expansion of beta in beta
27.103 * [backup-simplify]: Simplify 0 into 0
27.103 * [backup-simplify]: Simplify 1 into 1
27.104 * [backup-simplify]: Simplify (/ 1 1) into 1
27.104 * [taylor]: Taking taylor expansion of 2.0 in beta
27.104 * [backup-simplify]: Simplify 2.0 into 2.0
27.104 * [backup-simplify]: Simplify (+ 1 0) into 1
27.111 * [backup-simplify]: Simplify (+ 0 1) into 1
27.111 * [backup-simplify]: Simplify (+ 0 1) into 1
27.112 * [backup-simplify]: Simplify (/ 1 1) into 1
27.112 * [backup-simplify]: Simplify (sqrt 0) into 0
27.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
27.114 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
27.114 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
27.114 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
27.114 * [taylor]: Taking taylor expansion of alpha in alpha
27.114 * [backup-simplify]: Simplify 0 into 0
27.114 * [backup-simplify]: Simplify 1 into 1
27.114 * [backup-simplify]: Simplify (/ 1 1) into 1
27.114 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
27.114 * [taylor]: Taking taylor expansion of beta in alpha
27.114 * [backup-simplify]: Simplify beta into beta
27.114 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.114 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
27.114 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
27.114 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
27.114 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
27.114 * [taylor]: Taking taylor expansion of alpha in alpha
27.114 * [backup-simplify]: Simplify 0 into 0
27.115 * [backup-simplify]: Simplify 1 into 1
27.115 * [backup-simplify]: Simplify (/ 1 1) into 1
27.115 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
27.115 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
27.115 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.115 * [backup-simplify]: Simplify 2.0 into 2.0
27.115 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
27.115 * [taylor]: Taking taylor expansion of i in alpha
27.115 * [backup-simplify]: Simplify i into i
27.115 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.115 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
27.115 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
27.115 * [taylor]: Taking taylor expansion of beta in alpha
27.115 * [backup-simplify]: Simplify beta into beta
27.115 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.115 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.115 * [backup-simplify]: Simplify 2.0 into 2.0
27.116 * [backup-simplify]: Simplify (+ 1 0) into 1
27.116 * [backup-simplify]: Simplify (/ 1 1) into 1
27.117 * [backup-simplify]: Simplify (sqrt 0) into 0
27.118 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
27.118 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
27.118 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
27.119 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
27.119 * [taylor]: Taking taylor expansion of alpha in alpha
27.119 * [backup-simplify]: Simplify 0 into 0
27.119 * [backup-simplify]: Simplify 1 into 1
27.119 * [backup-simplify]: Simplify (/ 1 1) into 1
27.119 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
27.119 * [taylor]: Taking taylor expansion of beta in alpha
27.119 * [backup-simplify]: Simplify beta into beta
27.119 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.119 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
27.119 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
27.119 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
27.119 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
27.119 * [taylor]: Taking taylor expansion of alpha in alpha
27.119 * [backup-simplify]: Simplify 0 into 0
27.119 * [backup-simplify]: Simplify 1 into 1
27.120 * [backup-simplify]: Simplify (/ 1 1) into 1
27.120 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
27.120 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
27.120 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.120 * [backup-simplify]: Simplify 2.0 into 2.0
27.120 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
27.120 * [taylor]: Taking taylor expansion of i in alpha
27.120 * [backup-simplify]: Simplify i into i
27.120 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.120 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
27.120 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
27.120 * [taylor]: Taking taylor expansion of beta in alpha
27.120 * [backup-simplify]: Simplify beta into beta
27.120 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.120 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.120 * [backup-simplify]: Simplify 2.0 into 2.0
27.121 * [backup-simplify]: Simplify (+ 1 0) into 1
27.121 * [backup-simplify]: Simplify (/ 1 1) into 1
27.122 * [backup-simplify]: Simplify (sqrt 0) into 0
27.142 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
27.143 * [backup-simplify]: Simplify (+ 1 0) into 1
27.144 * [backup-simplify]: Simplify (* 1 0) into 0
27.144 * [taylor]: Taking taylor expansion of 0 in beta
27.144 * [backup-simplify]: Simplify 0 into 0
27.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.145 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
27.145 * [backup-simplify]: Simplify (+ (* 1 +nan.0) (* (/ 1 beta) 0)) into (- +nan.0)
27.145 * [taylor]: Taking taylor expansion of (- +nan.0) in beta
27.145 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.145 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.145 * [taylor]: Taking taylor expansion of 0 in i
27.146 * [backup-simplify]: Simplify 0 into 0
27.146 * [backup-simplify]: Simplify 0 into 0
27.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.147 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
27.147 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
27.147 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
27.147 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
27.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) 1)))) into (- (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))
27.241 * [backup-simplify]: Simplify (/ (- (- (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (* 2.0 (/ 1 i)) (- (/ 1 beta) +nan.0)))
27.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
27.243 * [backup-simplify]: Simplify (+ 0 0) into 0
27.244 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (+ (* 2.0 (/ 1 i)) (- (/ 1 beta) +nan.0)))) (+ (* (/ 1 beta) +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
27.245 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
27.245 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
27.245 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in beta
27.245 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.245 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.245 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
27.245 * [taylor]: Taking taylor expansion of i in beta
27.245 * [backup-simplify]: Simplify i into i
27.245 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.245 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
27.245 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
27.245 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
27.245 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.245 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.245 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
27.245 * [taylor]: Taking taylor expansion of beta in beta
27.245 * [backup-simplify]: Simplify 0 into 0
27.245 * [backup-simplify]: Simplify 1 into 1
27.246 * [backup-simplify]: Simplify (/ 1 1) into 1
27.246 * [taylor]: Taking taylor expansion of (- +nan.0) in beta
27.246 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.246 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.246 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
27.247 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
27.247 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.248 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
27.248 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.248 * [taylor]: Taking taylor expansion of (- +nan.0) in i
27.248 * [taylor]: Taking taylor expansion of +nan.0 in i
27.248 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.250 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.250 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.251 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.251 * [taylor]: Taking taylor expansion of (- +nan.0) in i
27.251 * [taylor]: Taking taylor expansion of +nan.0 in i
27.251 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.251 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.252 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.252 * [taylor]: Taking taylor expansion of 0 in i
27.252 * [backup-simplify]: Simplify 0 into 0
27.252 * [backup-simplify]: Simplify 0 into 0
27.252 * [backup-simplify]: Simplify 0 into 0
27.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
27.253 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
27.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
27.253 * [backup-simplify]: Simplify (+ 0 0) into 0
27.253 * [backup-simplify]: Simplify (+ 0 0) into 0
27.254 * [backup-simplify]: Simplify (+ 0 0) into 0
27.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (/ (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) 1)))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 8.0 (/ 1 i)) (+ (* 4.0 (/ 1 beta)) 4.0)))))
27.258 * [backup-simplify]: Simplify (/ (- (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 8.0 (/ 1 i)) (+ (* 4.0 (/ 1 beta)) 4.0))))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (* 2.0 (/ 1 i)) (- (/ 1 beta) +nan.0))))))) (* 2 0)) into (* +nan.0 (- (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (/ 1 (pow beta 2)))) (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))
27.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.259 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
27.260 * [backup-simplify]: Simplify (+ 0 0) into 0
27.263 * [backup-simplify]: Simplify (+ (* 1 (* +nan.0 (- (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (/ 1 (pow beta 2)))) (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) (+ (* (/ 1 beta) (* +nan.0 (+ (* 2.0 (/ 1 i)) (- (/ 1 beta) +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))))))
27.263 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))))))) in beta
27.264 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))))) in beta
27.264 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow i 2))) in beta
27.264 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.264 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.265 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
27.265 * [taylor]: Taking taylor expansion of (pow i 2) in beta
27.265 * [taylor]: Taking taylor expansion of i in beta
27.265 * [backup-simplify]: Simplify i into i
27.265 * [backup-simplify]: Simplify (* i i) into (pow i 2)
27.265 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
27.266 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))))) in beta
27.266 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))) in beta
27.266 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* i beta))) in beta
27.266 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.266 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.266 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
27.266 * [taylor]: Taking taylor expansion of (* i beta) in beta
27.266 * [taylor]: Taking taylor expansion of i in beta
27.266 * [backup-simplify]: Simplify i into i
27.266 * [taylor]: Taking taylor expansion of beta in beta
27.266 * [backup-simplify]: Simplify 0 into 0
27.266 * [backup-simplify]: Simplify 1 into 1
27.266 * [backup-simplify]: Simplify (* i 0) into 0
27.267 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
27.267 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.267 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) in beta
27.267 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))) in beta
27.267 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
27.267 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.267 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.267 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
27.267 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.267 * [taylor]: Taking taylor expansion of beta in beta
27.267 * [backup-simplify]: Simplify 0 into 0
27.267 * [backup-simplify]: Simplify 1 into 1
27.267 * [backup-simplify]: Simplify (* 1 1) into 1
27.268 * [backup-simplify]: Simplify (/ 1 1) into 1
27.268 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
27.268 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
27.268 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in beta
27.268 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.268 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.268 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
27.268 * [taylor]: Taking taylor expansion of i in beta
27.268 * [backup-simplify]: Simplify i into i
27.268 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.268 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
27.268 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
27.268 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
27.268 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.268 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.268 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
27.268 * [taylor]: Taking taylor expansion of beta in beta
27.268 * [backup-simplify]: Simplify 0 into 0
27.268 * [backup-simplify]: Simplify 1 into 1
27.269 * [backup-simplify]: Simplify (/ 1 1) into 1
27.269 * [taylor]: Taking taylor expansion of (- +nan.0) in beta
27.269 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.269 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.269 * [backup-simplify]: Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
27.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.272 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
27.273 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
27.273 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
27.274 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.275 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
27.275 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.277 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
27.277 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.278 * [backup-simplify]: Simplify (+ (/ +nan.0 i) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
27.279 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
27.279 * [backup-simplify]: Simplify (+ 0 (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
27.280 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
27.280 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))) in i
27.280 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- +nan.0)) in i
27.280 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
27.280 * [taylor]: Taking taylor expansion of +nan.0 in i
27.280 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.281 * [taylor]: Taking taylor expansion of (/ 1 i) in i
27.281 * [taylor]: Taking taylor expansion of i in i
27.281 * [backup-simplify]: Simplify 0 into 0
27.281 * [backup-simplify]: Simplify 1 into 1
27.281 * [backup-simplify]: Simplify (/ 1 1) into 1
27.281 * [taylor]: Taking taylor expansion of (- +nan.0) in i
27.281 * [taylor]: Taking taylor expansion of +nan.0 in i
27.281 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.287 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
27.287 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.293 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
27.296 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.296 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.298 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* 1 (* (/ 1 (/ 1 beta)) (pow (/ 1 alpha) 2)))) (+ (- +nan.0) (* (- +nan.0) (* 1 (* (/ 1 (/ 1 beta)) (/ 1 alpha)))))) into (- (+ (* +nan.0 (/ beta (pow alpha 2))) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
27.299 * [backup-simplify]: Simplify (/ (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) 1) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) into (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (+ (/ 1 alpha) (/ 1 beta))))
27.299 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (+ (/ 1 alpha) (/ 1 beta)))) in (alpha beta i) around 0
27.299 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (+ (/ 1 alpha) (/ 1 beta)))) in i
27.299 * [taylor]: Taking taylor expansion of -1 in i
27.299 * [backup-simplify]: Simplify -1 into -1
27.299 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (+ (/ 1 alpha) (/ 1 beta))) in i
27.299 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
27.299 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
27.299 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
27.299 * [taylor]: Taking taylor expansion of 2.0 in i
27.299 * [backup-simplify]: Simplify 2.0 into 2.0
27.299 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
27.299 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
27.299 * [taylor]: Taking taylor expansion of alpha in i
27.300 * [backup-simplify]: Simplify alpha into alpha
27.300 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
27.300 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
27.300 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
27.300 * [taylor]: Taking taylor expansion of 2.0 in i
27.300 * [backup-simplify]: Simplify 2.0 into 2.0
27.300 * [taylor]: Taking taylor expansion of (/ 1 i) in i
27.300 * [taylor]: Taking taylor expansion of i in i
27.300 * [backup-simplify]: Simplify 0 into 0
27.300 * [backup-simplify]: Simplify 1 into 1
27.300 * [backup-simplify]: Simplify (/ 1 1) into 1
27.300 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
27.300 * [taylor]: Taking taylor expansion of beta in i
27.300 * [backup-simplify]: Simplify beta into beta
27.301 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.301 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
27.301 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
27.302 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.302 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
27.306 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
27.307 * [backup-simplify]: Simplify (/ 1 (- 2.0)) into -0.5
27.307 * [backup-simplify]: Simplify (sqrt 0) into 0
27.308 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 0))) into +nan.0
27.308 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
27.308 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
27.308 * [taylor]: Taking taylor expansion of alpha in i
27.308 * [backup-simplify]: Simplify alpha into alpha
27.308 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
27.308 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
27.308 * [taylor]: Taking taylor expansion of beta in i
27.308 * [backup-simplify]: Simplify beta into beta
27.308 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.308 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (+ (/ 1 alpha) (/ 1 beta)))) in beta
27.309 * [taylor]: Taking taylor expansion of -1 in beta
27.309 * [backup-simplify]: Simplify -1 into -1
27.309 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (+ (/ 1 alpha) (/ 1 beta))) in beta
27.309 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
27.309 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
27.309 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
27.309 * [taylor]: Taking taylor expansion of 2.0 in beta
27.309 * [backup-simplify]: Simplify 2.0 into 2.0
27.309 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
27.309 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
27.309 * [taylor]: Taking taylor expansion of alpha in beta
27.309 * [backup-simplify]: Simplify alpha into alpha
27.309 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
27.309 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
27.309 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
27.309 * [taylor]: Taking taylor expansion of 2.0 in beta
27.309 * [backup-simplify]: Simplify 2.0 into 2.0
27.309 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
27.309 * [taylor]: Taking taylor expansion of i in beta
27.309 * [backup-simplify]: Simplify i into i
27.309 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.309 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
27.309 * [taylor]: Taking taylor expansion of beta in beta
27.309 * [backup-simplify]: Simplify 0 into 0
27.309 * [backup-simplify]: Simplify 1 into 1
27.309 * [backup-simplify]: Simplify (/ 1 1) into 1
27.310 * [backup-simplify]: Simplify (+ 0 1) into 1
27.310 * [backup-simplify]: Simplify (+ 0 1) into 1
27.310 * [backup-simplify]: Simplify (- 1) into -1
27.310 * [backup-simplify]: Simplify (+ 0 -1) into -1
27.311 * [backup-simplify]: Simplify (/ 1 -1) into -1
27.311 * [backup-simplify]: Simplify (sqrt 0) into 0
27.312 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
27.312 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
27.312 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
27.312 * [taylor]: Taking taylor expansion of alpha in beta
27.312 * [backup-simplify]: Simplify alpha into alpha
27.312 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
27.312 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
27.312 * [taylor]: Taking taylor expansion of beta in beta
27.312 * [backup-simplify]: Simplify 0 into 0
27.312 * [backup-simplify]: Simplify 1 into 1
27.312 * [backup-simplify]: Simplify (/ 1 1) into 1
27.312 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
27.312 * [taylor]: Taking taylor expansion of -1 in alpha
27.312 * [backup-simplify]: Simplify -1 into -1
27.312 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (+ (/ 1 alpha) (/ 1 beta))) in alpha
27.312 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
27.312 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
27.312 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
27.312 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.312 * [backup-simplify]: Simplify 2.0 into 2.0
27.312 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
27.312 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
27.312 * [taylor]: Taking taylor expansion of alpha in alpha
27.313 * [backup-simplify]: Simplify 0 into 0
27.313 * [backup-simplify]: Simplify 1 into 1
27.313 * [backup-simplify]: Simplify (/ 1 1) into 1
27.313 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
27.313 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
27.313 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.313 * [backup-simplify]: Simplify 2.0 into 2.0
27.313 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
27.313 * [taylor]: Taking taylor expansion of i in alpha
27.313 * [backup-simplify]: Simplify i into i
27.313 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.313 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
27.313 * [taylor]: Taking taylor expansion of beta in alpha
27.313 * [backup-simplify]: Simplify beta into beta
27.313 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.313 * [backup-simplify]: Simplify (+ 1 0) into 1
27.314 * [backup-simplify]: Simplify (- 1) into -1
27.314 * [backup-simplify]: Simplify (+ 0 -1) into -1
27.314 * [backup-simplify]: Simplify (/ 1 -1) into -1
27.315 * [backup-simplify]: Simplify (sqrt 0) into 0
27.319 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
27.319 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
27.319 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
27.319 * [taylor]: Taking taylor expansion of alpha in alpha
27.319 * [backup-simplify]: Simplify 0 into 0
27.319 * [backup-simplify]: Simplify 1 into 1
27.319 * [backup-simplify]: Simplify (/ 1 1) into 1
27.319 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
27.319 * [taylor]: Taking taylor expansion of beta in alpha
27.319 * [backup-simplify]: Simplify beta into beta
27.319 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.319 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (+ (/ 1 alpha) (/ 1 beta)))) in alpha
27.320 * [taylor]: Taking taylor expansion of -1 in alpha
27.320 * [backup-simplify]: Simplify -1 into -1
27.320 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (+ (/ 1 alpha) (/ 1 beta))) in alpha
27.320 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
27.320 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
27.320 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
27.320 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.320 * [backup-simplify]: Simplify 2.0 into 2.0
27.320 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
27.320 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
27.320 * [taylor]: Taking taylor expansion of alpha in alpha
27.320 * [backup-simplify]: Simplify 0 into 0
27.320 * [backup-simplify]: Simplify 1 into 1
27.320 * [backup-simplify]: Simplify (/ 1 1) into 1
27.320 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
27.320 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
27.320 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.320 * [backup-simplify]: Simplify 2.0 into 2.0
27.320 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
27.320 * [taylor]: Taking taylor expansion of i in alpha
27.320 * [backup-simplify]: Simplify i into i
27.320 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.321 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
27.321 * [taylor]: Taking taylor expansion of beta in alpha
27.321 * [backup-simplify]: Simplify beta into beta
27.321 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.321 * [backup-simplify]: Simplify (+ 1 0) into 1
27.321 * [backup-simplify]: Simplify (- 1) into -1
27.322 * [backup-simplify]: Simplify (+ 0 -1) into -1
27.322 * [backup-simplify]: Simplify (/ 1 -1) into -1
27.323 * [backup-simplify]: Simplify (sqrt 0) into 0
27.324 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
27.324 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
27.324 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
27.324 * [taylor]: Taking taylor expansion of alpha in alpha
27.324 * [backup-simplify]: Simplify 0 into 0
27.324 * [backup-simplify]: Simplify 1 into 1
27.325 * [backup-simplify]: Simplify (/ 1 1) into 1
27.325 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
27.325 * [taylor]: Taking taylor expansion of beta in alpha
27.325 * [backup-simplify]: Simplify beta into beta
27.325 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
27.325 * [backup-simplify]: Simplify (+ 1 0) into 1
27.326 * [backup-simplify]: Simplify (* 0 1) into 0
27.326 * [backup-simplify]: Simplify (* -1 0) into 0
27.326 * [taylor]: Taking taylor expansion of 0 in beta
27.326 * [backup-simplify]: Simplify 0 into 0
27.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.327 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
27.327 * [backup-simplify]: Simplify (+ (* 0 (/ 1 beta)) (* +nan.0 1)) into (- +nan.0)
27.329 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0)
27.329 * [taylor]: Taking taylor expansion of (- +nan.0) in beta
27.329 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.329 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.329 * [taylor]: Taking taylor expansion of 0 in i
27.329 * [backup-simplify]: Simplify 0 into 0
27.329 * [backup-simplify]: Simplify 0 into 0
27.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
27.330 * [backup-simplify]: Simplify (+ 0 0) into 0
27.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.331 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
27.331 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
27.331 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
27.331 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
27.331 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
27.332 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) -1)))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 2.0)
27.333 * [backup-simplify]: Simplify (/ (- (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 2.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)) +nan.0))
27.333 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 (/ 1 beta)) (* (* +nan.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)) +nan.0)) 1))) into (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
27.334 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))
27.334 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
27.334 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
27.334 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in beta
27.334 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.334 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.334 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
27.334 * [taylor]: Taking taylor expansion of i in beta
27.334 * [backup-simplify]: Simplify i into i
27.334 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.335 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
27.335 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
27.335 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
27.335 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.335 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.335 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
27.335 * [taylor]: Taking taylor expansion of beta in beta
27.335 * [backup-simplify]: Simplify 0 into 0
27.335 * [backup-simplify]: Simplify 1 into 1
27.335 * [backup-simplify]: Simplify (/ 1 1) into 1
27.335 * [taylor]: Taking taylor expansion of (- +nan.0) in beta
27.335 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.335 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.336 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
27.336 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
27.347 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.348 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
27.349 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.349 * [taylor]: Taking taylor expansion of (- +nan.0) in i
27.349 * [taylor]: Taking taylor expansion of +nan.0 in i
27.349 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.350 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.350 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.351 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.351 * [taylor]: Taking taylor expansion of (- +nan.0) in i
27.351 * [taylor]: Taking taylor expansion of +nan.0 in i
27.351 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.351 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.351 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.351 * [taylor]: Taking taylor expansion of 0 in i
27.351 * [backup-simplify]: Simplify 0 into 0
27.352 * [backup-simplify]: Simplify 0 into 0
27.352 * [backup-simplify]: Simplify 0 into 0
27.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.353 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
27.353 * [backup-simplify]: Simplify (+ 0 0) into 0
27.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
27.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
27.363 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
27.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
27.364 * [backup-simplify]: Simplify (+ 0 0) into 0
27.364 * [backup-simplify]: Simplify (+ 0 0) into 0
27.365 * [backup-simplify]: Simplify (- 0) into 0
27.365 * [backup-simplify]: Simplify (+ 0 0) into 0
27.366 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 2.0) (/ (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) -1)))) into (- (+ (* 8.0 (/ 1 i)) (* 4.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) 4.0))))
27.376 * [backup-simplify]: Simplify (/ (- (- (+ (* 8.0 (/ 1 i)) (* 4.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) 4.0)))) (+ (* 2 (* +nan.0 (* +nan.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* 4.0 (/ 1 (pow i 2))) (- (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))) (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))
27.380 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)) +nan.0)) (/ 1 beta)) (* (* +nan.0 (+ (* 4.0 (/ 1 (pow i 2))) (- (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))) (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) 1)))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))))))
27.384 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))))))) (+ (* 0 (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))) (+ (* 0 (- +nan.0)) (* 0 0)))) into (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))))))
27.384 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))))))) in beta
27.384 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow beta 2))) (- (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))))) in beta
27.384 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow beta 2))) in beta
27.384 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.384 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.384 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
27.384 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.384 * [taylor]: Taking taylor expansion of beta in beta
27.384 * [backup-simplify]: Simplify 0 into 0
27.384 * [backup-simplify]: Simplify 1 into 1
27.385 * [backup-simplify]: Simplify (* 1 1) into 1
27.385 * [backup-simplify]: Simplify (/ 1 1) into 1
27.385 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))))) in beta
27.385 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (* i beta))) (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))))) in beta
27.385 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (* i beta))) in beta
27.385 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.385 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.385 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
27.386 * [taylor]: Taking taylor expansion of (* i beta) in beta
27.386 * [taylor]: Taking taylor expansion of i in beta
27.386 * [backup-simplify]: Simplify i into i
27.386 * [taylor]: Taking taylor expansion of beta in beta
27.386 * [backup-simplify]: Simplify 0 into 0
27.386 * [backup-simplify]: Simplify 1 into 1
27.386 * [backup-simplify]: Simplify (* i 0) into 0
27.386 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
27.386 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.386 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))))) in beta
27.386 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow i 2))) (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))))) in beta
27.386 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow i 2))) in beta
27.386 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.386 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.386 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
27.386 * [taylor]: Taking taylor expansion of (pow i 2) in beta
27.387 * [taylor]: Taking taylor expansion of i in beta
27.387 * [backup-simplify]: Simplify i into i
27.387 * [backup-simplify]: Simplify (* i i) into (pow i 2)
27.387 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
27.387 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))))) in beta
27.387 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0)))) in beta
27.387 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in beta
27.387 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.387 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.387 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
27.387 * [taylor]: Taking taylor expansion of i in beta
27.387 * [backup-simplify]: Simplify i into i
27.387 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
27.387 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 beta)) (- +nan.0))) in beta
27.387 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 beta)) (- +nan.0)) in beta
27.387 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 beta)) in beta
27.387 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.387 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.387 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
27.387 * [taylor]: Taking taylor expansion of beta in beta
27.387 * [backup-simplify]: Simplify 0 into 0
27.387 * [backup-simplify]: Simplify 1 into 1
27.388 * [backup-simplify]: Simplify (/ 1 1) into 1
27.388 * [taylor]: Taking taylor expansion of (- +nan.0) in beta
27.388 * [taylor]: Taking taylor expansion of +nan.0 in beta
27.388 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.393 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
27.394 * [backup-simplify]: Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
27.394 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0
27.394 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0)
27.395 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.396 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
27.397 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.397 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
27.398 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.399 * [backup-simplify]: Simplify (+ (/ +nan.0 i) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
27.399 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
27.400 * [backup-simplify]: Simplify (+ 0 (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
27.400 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
27.400 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))) in i
27.400 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- +nan.0)) in i
27.400 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
27.400 * [taylor]: Taking taylor expansion of +nan.0 in i
27.400 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.400 * [taylor]: Taking taylor expansion of (/ 1 i) in i
27.400 * [taylor]: Taking taylor expansion of i in i
27.400 * [backup-simplify]: Simplify 0 into 0
27.401 * [backup-simplify]: Simplify 1 into 1
27.401 * [backup-simplify]: Simplify (/ 1 1) into 1
27.401 * [taylor]: Taking taylor expansion of (- +nan.0) in i
27.401 * [taylor]: Taking taylor expansion of +nan.0 in i
27.401 * [backup-simplify]: Simplify +nan.0 into +nan.0
27.402 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
27.403 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
27.403 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.404 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0)
27.405 * [backup-simplify]: Simplify (- (- +nan.0)) into (- +nan.0)
27.405 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
27.407 * [backup-simplify]: Simplify (+ (* (- +nan.0) (* 1 (* (/ 1 (/ 1 (- beta))) (pow (/ 1 (- alpha)) 2)))) (+ (- +nan.0) (* (- +nan.0) (* 1 (* (/ 1 (/ 1 (- beta))) (/ 1 (- alpha))))))) into (- (+ (* +nan.0 (/ beta (pow alpha 2))) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
27.408 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1)
27.409 * [backup-simplify]: Simplify (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) into (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))
27.409 * [approximate]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in (alpha beta i) around 0
27.409 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
27.409 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in i
27.409 * [taylor]: Taking taylor expansion of (+ alpha beta) in i
27.409 * [taylor]: Taking taylor expansion of alpha in i
27.409 * [backup-simplify]: Simplify alpha into alpha
27.409 * [taylor]: Taking taylor expansion of beta in i
27.409 * [backup-simplify]: Simplify beta into beta
27.409 * [taylor]: Taking taylor expansion of (- beta alpha) in i
27.410 * [taylor]: Taking taylor expansion of beta in i
27.410 * [backup-simplify]: Simplify beta into beta
27.410 * [taylor]: Taking taylor expansion of alpha in i
27.410 * [backup-simplify]: Simplify alpha into alpha
27.410 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
27.410 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
27.410 * [taylor]: Taking taylor expansion of alpha in i
27.410 * [backup-simplify]: Simplify alpha into alpha
27.410 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
27.410 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
27.410 * [taylor]: Taking taylor expansion of 2.0 in i
27.410 * [backup-simplify]: Simplify 2.0 into 2.0
27.410 * [taylor]: Taking taylor expansion of i in i
27.410 * [backup-simplify]: Simplify 0 into 0
27.410 * [backup-simplify]: Simplify 1 into 1
27.410 * [taylor]: Taking taylor expansion of beta in i
27.410 * [backup-simplify]: Simplify beta into beta
27.410 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
27.410 * [taylor]: Taking taylor expansion of alpha in i
27.410 * [backup-simplify]: Simplify alpha into alpha
27.410 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
27.410 * [taylor]: Taking taylor expansion of 2.0 in i
27.410 * [backup-simplify]: Simplify 2.0 into 2.0
27.410 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
27.410 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
27.410 * [taylor]: Taking taylor expansion of 2.0 in i
27.410 * [backup-simplify]: Simplify 2.0 into 2.0
27.410 * [taylor]: Taking taylor expansion of i in i
27.410 * [backup-simplify]: Simplify 0 into 0
27.410 * [backup-simplify]: Simplify 1 into 1
27.410 * [taylor]: Taking taylor expansion of beta in i
27.410 * [backup-simplify]: Simplify beta into beta
27.410 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
27.411 * [backup-simplify]: Simplify (- alpha) into (- alpha)
27.411 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
27.411 * [backup-simplify]: Simplify (* (+ alpha beta) (- beta alpha)) into (* (+ alpha beta) (- beta alpha))
27.412 * [backup-simplify]: Simplify (* 2.0 0) into 0
27.412 * [backup-simplify]: Simplify (+ 0 beta) into beta
27.412 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
27.413 * [backup-simplify]: Simplify (* 2.0 0) into 0
27.413 * [backup-simplify]: Simplify (+ 0 beta) into beta
27.413 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
27.413 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
27.413 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
27.413 * [backup-simplify]: Simplify (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (- beta alpha) (+ alpha (+ beta 2.0)))
27.413 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
27.414 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in beta
27.414 * [taylor]: Taking taylor expansion of (+ alpha beta) in beta
27.414 * [taylor]: Taking taylor expansion of alpha in beta
27.414 * [backup-simplify]: Simplify alpha into alpha
27.414 * [taylor]: Taking taylor expansion of beta in beta
27.414 * [backup-simplify]: Simplify 0 into 0
27.414 * [backup-simplify]: Simplify 1 into 1
27.414 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
27.414 * [taylor]: Taking taylor expansion of beta in beta
27.414 * [backup-simplify]: Simplify 0 into 0
27.414 * [backup-simplify]: Simplify 1 into 1
27.414 * [taylor]: Taking taylor expansion of alpha in beta
27.414 * [backup-simplify]: Simplify alpha into alpha
27.414 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
27.414 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
27.414 * [taylor]: Taking taylor expansion of alpha in beta
27.414 * [backup-simplify]: Simplify alpha into alpha
27.414 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.414 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.414 * [taylor]: Taking taylor expansion of 2.0 in beta
27.414 * [backup-simplify]: Simplify 2.0 into 2.0
27.414 * [taylor]: Taking taylor expansion of i in beta
27.414 * [backup-simplify]: Simplify i into i
27.414 * [taylor]: Taking taylor expansion of beta in beta
27.414 * [backup-simplify]: Simplify 0 into 0
27.414 * [backup-simplify]: Simplify 1 into 1
27.414 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
27.414 * [taylor]: Taking taylor expansion of alpha in beta
27.414 * [backup-simplify]: Simplify alpha into alpha
27.414 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
27.414 * [taylor]: Taking taylor expansion of 2.0 in beta
27.414 * [backup-simplify]: Simplify 2.0 into 2.0
27.414 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.414 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.415 * [taylor]: Taking taylor expansion of 2.0 in beta
27.415 * [backup-simplify]: Simplify 2.0 into 2.0
27.415 * [taylor]: Taking taylor expansion of i in beta
27.415 * [backup-simplify]: Simplify i into i
27.415 * [taylor]: Taking taylor expansion of beta in beta
27.415 * [backup-simplify]: Simplify 0 into 0
27.415 * [backup-simplify]: Simplify 1 into 1
27.415 * [backup-simplify]: Simplify (+ alpha 0) into alpha
27.415 * [backup-simplify]: Simplify (- alpha) into (- alpha)
27.415 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
27.415 * [backup-simplify]: Simplify (* alpha (- alpha)) into (* -1 (pow alpha 2))
27.415 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.415 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.415 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
27.416 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.416 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.416 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
27.416 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
27.416 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
27.416 * [backup-simplify]: Simplify (/ (* -1 (pow alpha 2)) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (* -1 (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0)))))
27.417 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
27.417 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
27.417 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
27.417 * [taylor]: Taking taylor expansion of alpha in alpha
27.417 * [backup-simplify]: Simplify 0 into 0
27.417 * [backup-simplify]: Simplify 1 into 1
27.417 * [taylor]: Taking taylor expansion of beta in alpha
27.417 * [backup-simplify]: Simplify beta into beta
27.417 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
27.417 * [taylor]: Taking taylor expansion of beta in alpha
27.417 * [backup-simplify]: Simplify beta into beta
27.417 * [taylor]: Taking taylor expansion of alpha in alpha
27.417 * [backup-simplify]: Simplify 0 into 0
27.417 * [backup-simplify]: Simplify 1 into 1
27.417 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
27.417 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
27.417 * [taylor]: Taking taylor expansion of alpha in alpha
27.417 * [backup-simplify]: Simplify 0 into 0
27.417 * [backup-simplify]: Simplify 1 into 1
27.417 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
27.417 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
27.417 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.417 * [backup-simplify]: Simplify 2.0 into 2.0
27.417 * [taylor]: Taking taylor expansion of i in alpha
27.417 * [backup-simplify]: Simplify i into i
27.417 * [taylor]: Taking taylor expansion of beta in alpha
27.417 * [backup-simplify]: Simplify beta into beta
27.417 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
27.417 * [taylor]: Taking taylor expansion of alpha in alpha
27.417 * [backup-simplify]: Simplify 0 into 0
27.417 * [backup-simplify]: Simplify 1 into 1
27.417 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
27.417 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.418 * [backup-simplify]: Simplify 2.0 into 2.0
27.418 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
27.418 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
27.418 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.418 * [backup-simplify]: Simplify 2.0 into 2.0
27.418 * [taylor]: Taking taylor expansion of i in alpha
27.418 * [backup-simplify]: Simplify i into i
27.418 * [taylor]: Taking taylor expansion of beta in alpha
27.418 * [backup-simplify]: Simplify beta into beta
27.418 * [backup-simplify]: Simplify (+ 0 beta) into beta
27.418 * [backup-simplify]: Simplify (- 0) into 0
27.418 * [backup-simplify]: Simplify (+ beta 0) into beta
27.419 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
27.419 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.419 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
27.419 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
27.419 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.419 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
27.419 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
27.419 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
27.419 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
27.420 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
27.420 * [taylor]: Taking taylor expansion of (/ (* (+ alpha beta) (- beta alpha)) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
27.420 * [taylor]: Taking taylor expansion of (* (+ alpha beta) (- beta alpha)) in alpha
27.420 * [taylor]: Taking taylor expansion of (+ alpha beta) in alpha
27.420 * [taylor]: Taking taylor expansion of alpha in alpha
27.420 * [backup-simplify]: Simplify 0 into 0
27.420 * [backup-simplify]: Simplify 1 into 1
27.420 * [taylor]: Taking taylor expansion of beta in alpha
27.420 * [backup-simplify]: Simplify beta into beta
27.420 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
27.420 * [taylor]: Taking taylor expansion of beta in alpha
27.420 * [backup-simplify]: Simplify beta into beta
27.420 * [taylor]: Taking taylor expansion of alpha in alpha
27.420 * [backup-simplify]: Simplify 0 into 0
27.420 * [backup-simplify]: Simplify 1 into 1
27.420 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
27.420 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
27.420 * [taylor]: Taking taylor expansion of alpha in alpha
27.420 * [backup-simplify]: Simplify 0 into 0
27.420 * [backup-simplify]: Simplify 1 into 1
27.420 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
27.420 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
27.420 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.421 * [backup-simplify]: Simplify 2.0 into 2.0
27.421 * [taylor]: Taking taylor expansion of i in alpha
27.421 * [backup-simplify]: Simplify i into i
27.421 * [taylor]: Taking taylor expansion of beta in alpha
27.421 * [backup-simplify]: Simplify beta into beta
27.421 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
27.421 * [taylor]: Taking taylor expansion of alpha in alpha
27.421 * [backup-simplify]: Simplify 0 into 0
27.421 * [backup-simplify]: Simplify 1 into 1
27.421 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
27.421 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.421 * [backup-simplify]: Simplify 2.0 into 2.0
27.421 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
27.421 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
27.421 * [taylor]: Taking taylor expansion of 2.0 in alpha
27.421 * [backup-simplify]: Simplify 2.0 into 2.0
27.421 * [taylor]: Taking taylor expansion of i in alpha
27.421 * [backup-simplify]: Simplify i into i
27.421 * [taylor]: Taking taylor expansion of beta in alpha
27.421 * [backup-simplify]: Simplify beta into beta
27.421 * [backup-simplify]: Simplify (+ 0 beta) into beta
27.422 * [backup-simplify]: Simplify (- 0) into 0
27.422 * [backup-simplify]: Simplify (+ beta 0) into beta
27.422 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
27.422 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.422 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
27.422 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
27.422 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.423 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
27.423 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
27.423 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
27.423 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
27.424 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
27.424 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
27.424 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.424 * [taylor]: Taking taylor expansion of beta in beta
27.424 * [backup-simplify]: Simplify 0 into 0
27.424 * [backup-simplify]: Simplify 1 into 1
27.424 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
27.424 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.424 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.424 * [taylor]: Taking taylor expansion of 2.0 in beta
27.424 * [backup-simplify]: Simplify 2.0 into 2.0
27.424 * [taylor]: Taking taylor expansion of i in beta
27.424 * [backup-simplify]: Simplify i into i
27.424 * [taylor]: Taking taylor expansion of beta in beta
27.424 * [backup-simplify]: Simplify 0 into 0
27.424 * [backup-simplify]: Simplify 1 into 1
27.424 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.425 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.425 * [taylor]: Taking taylor expansion of 2.0 in beta
27.425 * [backup-simplify]: Simplify 2.0 into 2.0
27.425 * [taylor]: Taking taylor expansion of i in beta
27.425 * [backup-simplify]: Simplify i into i
27.425 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.425 * [taylor]: Taking taylor expansion of beta in beta
27.425 * [backup-simplify]: Simplify 0 into 0
27.425 * [backup-simplify]: Simplify 1 into 1
27.425 * [taylor]: Taking taylor expansion of 2.0 in beta
27.425 * [backup-simplify]: Simplify 2.0 into 2.0
27.426 * [backup-simplify]: Simplify (* 1 1) into 1
27.426 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.426 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.426 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.427 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.427 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.427 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
27.427 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
27.428 * [backup-simplify]: Simplify (- 1) into -1
27.428 * [backup-simplify]: Simplify (+ 0 -1) into -1
27.429 * [backup-simplify]: Simplify (+ 1 0) into 1
27.429 * [backup-simplify]: Simplify (+ (* beta -1) (* 1 beta)) into 0
27.429 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
27.430 * [backup-simplify]: Simplify (+ 0 0) into 0
27.430 * [backup-simplify]: Simplify (+ 0 0) into 0
27.443 * [backup-simplify]: Simplify (+ 1 0) into 1
27.443 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
27.444 * [backup-simplify]: Simplify (+ 0 0) into 0
27.444 * [backup-simplify]: Simplify (+ 1 0) into 1
27.445 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
27.447 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
27.447 * [taylor]: Taking taylor expansion of (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
27.447 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
27.447 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
27.447 * [taylor]: Taking taylor expansion of 2.0 in beta
27.447 * [backup-simplify]: Simplify 2.0 into 2.0
27.447 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
27.447 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.447 * [taylor]: Taking taylor expansion of beta in beta
27.447 * [backup-simplify]: Simplify 0 into 0
27.447 * [backup-simplify]: Simplify 1 into 1
27.447 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
27.447 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
27.447 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.447 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.447 * [taylor]: Taking taylor expansion of 2.0 in beta
27.447 * [backup-simplify]: Simplify 2.0 into 2.0
27.447 * [taylor]: Taking taylor expansion of i in beta
27.448 * [backup-simplify]: Simplify i into i
27.448 * [taylor]: Taking taylor expansion of beta in beta
27.448 * [backup-simplify]: Simplify 0 into 0
27.448 * [backup-simplify]: Simplify 1 into 1
27.448 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.448 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.448 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
27.448 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.448 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.448 * [taylor]: Taking taylor expansion of 2.0 in beta
27.448 * [backup-simplify]: Simplify 2.0 into 2.0
27.448 * [taylor]: Taking taylor expansion of i in beta
27.448 * [backup-simplify]: Simplify i into i
27.448 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.448 * [taylor]: Taking taylor expansion of beta in beta
27.448 * [backup-simplify]: Simplify 0 into 0
27.448 * [backup-simplify]: Simplify 1 into 1
27.448 * [taylor]: Taking taylor expansion of 2.0 in beta
27.448 * [backup-simplify]: Simplify 2.0 into 2.0
27.448 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.449 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.449 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.450 * [backup-simplify]: Simplify (* 1 1) into 1
27.450 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.450 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.450 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.451 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.451 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
27.451 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
27.451 * [taylor]: Taking taylor expansion of 4.0 in beta
27.451 * [backup-simplify]: Simplify 4.0 into 4.0
27.451 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
27.451 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
27.451 * [taylor]: Taking taylor expansion of i in beta
27.451 * [backup-simplify]: Simplify i into i
27.451 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.452 * [taylor]: Taking taylor expansion of beta in beta
27.452 * [backup-simplify]: Simplify 0 into 0
27.452 * [backup-simplify]: Simplify 1 into 1
27.452 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
27.452 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
27.452 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.452 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.452 * [taylor]: Taking taylor expansion of 2.0 in beta
27.452 * [backup-simplify]: Simplify 2.0 into 2.0
27.452 * [taylor]: Taking taylor expansion of i in beta
27.452 * [backup-simplify]: Simplify i into i
27.452 * [taylor]: Taking taylor expansion of beta in beta
27.452 * [backup-simplify]: Simplify 0 into 0
27.452 * [backup-simplify]: Simplify 1 into 1
27.452 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.452 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.452 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
27.452 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.452 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.452 * [taylor]: Taking taylor expansion of 2.0 in beta
27.452 * [backup-simplify]: Simplify 2.0 into 2.0
27.452 * [taylor]: Taking taylor expansion of i in beta
27.452 * [backup-simplify]: Simplify i into i
27.452 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.452 * [taylor]: Taking taylor expansion of beta in beta
27.452 * [backup-simplify]: Simplify 0 into 0
27.452 * [backup-simplify]: Simplify 1 into 1
27.452 * [taylor]: Taking taylor expansion of 2.0 in beta
27.453 * [backup-simplify]: Simplify 2.0 into 2.0
27.453 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.454 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.454 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.454 * [backup-simplify]: Simplify (* 1 1) into 1
27.455 * [backup-simplify]: Simplify (* i 1) into i
27.455 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.455 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.455 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.456 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
27.456 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
27.456 * [taylor]: Taking taylor expansion of 2 in beta
27.456 * [backup-simplify]: Simplify 2 into 2
27.456 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
27.456 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
27.456 * [taylor]: Taking taylor expansion of beta in beta
27.456 * [backup-simplify]: Simplify 0 into 0
27.456 * [backup-simplify]: Simplify 1 into 1
27.456 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
27.456 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
27.456 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.456 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.456 * [taylor]: Taking taylor expansion of 2.0 in beta
27.456 * [backup-simplify]: Simplify 2.0 into 2.0
27.456 * [taylor]: Taking taylor expansion of i in beta
27.456 * [backup-simplify]: Simplify i into i
27.456 * [taylor]: Taking taylor expansion of beta in beta
27.456 * [backup-simplify]: Simplify 0 into 0
27.456 * [backup-simplify]: Simplify 1 into 1
27.456 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.456 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.456 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
27.456 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.457 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.457 * [taylor]: Taking taylor expansion of 2.0 in beta
27.457 * [backup-simplify]: Simplify 2.0 into 2.0
27.457 * [taylor]: Taking taylor expansion of i in beta
27.457 * [backup-simplify]: Simplify i into i
27.457 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.457 * [taylor]: Taking taylor expansion of beta in beta
27.457 * [backup-simplify]: Simplify 0 into 0
27.457 * [backup-simplify]: Simplify 1 into 1
27.457 * [taylor]: Taking taylor expansion of 2.0 in beta
27.457 * [backup-simplify]: Simplify 2.0 into 2.0
27.457 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.458 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.458 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.467 * [backup-simplify]: Simplify (* 1 1) into 1
27.467 * [backup-simplify]: Simplify (* 1 1) into 1
27.468 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.468 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.468 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.469 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.713 * [backup-simplify]: Simplify (- 0) into 0
27.734 * [backup-simplify]: Simplify (+ 0 0) into 0
27.736 * [backup-simplify]: Simplify (+ 0 0) into 0
27.738 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 -1) (* 0 beta))) into (- 1)
27.739 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
27.739 * [backup-simplify]: Simplify (+ 0 0) into 0
27.740 * [backup-simplify]: Simplify (+ 0 0) into 0
27.740 * [backup-simplify]: Simplify (+ 0 0) into 0
27.741 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
27.741 * [backup-simplify]: Simplify (+ 0 0) into 0
27.742 * [backup-simplify]: Simplify (+ 0 0) into 0
27.747 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
27.758 * [backup-simplify]: Simplify (- (/ (- 1) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
27.759 * [taylor]: Taking taylor expansion of (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
27.759 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
27.759 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
27.759 * [taylor]: Taking taylor expansion of 8.0 in beta
27.759 * [backup-simplify]: Simplify 8.0 into 8.0
27.759 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
27.759 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
27.759 * [taylor]: Taking taylor expansion of beta in beta
27.759 * [backup-simplify]: Simplify 0 into 0
27.759 * [backup-simplify]: Simplify 1 into 1
27.759 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
27.759 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
27.759 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.759 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.759 * [taylor]: Taking taylor expansion of 2.0 in beta
27.759 * [backup-simplify]: Simplify 2.0 into 2.0
27.759 * [taylor]: Taking taylor expansion of i in beta
27.759 * [backup-simplify]: Simplify i into i
27.759 * [taylor]: Taking taylor expansion of beta in beta
27.759 * [backup-simplify]: Simplify 0 into 0
27.759 * [backup-simplify]: Simplify 1 into 1
27.759 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.759 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.759 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
27.760 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.760 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.760 * [taylor]: Taking taylor expansion of 2.0 in beta
27.760 * [backup-simplify]: Simplify 2.0 into 2.0
27.760 * [taylor]: Taking taylor expansion of i in beta
27.760 * [backup-simplify]: Simplify i into i
27.760 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.760 * [taylor]: Taking taylor expansion of beta in beta
27.760 * [backup-simplify]: Simplify 0 into 0
27.760 * [backup-simplify]: Simplify 1 into 1
27.760 * [taylor]: Taking taylor expansion of 2.0 in beta
27.760 * [backup-simplify]: Simplify 2.0 into 2.0
27.760 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.760 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.761 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.761 * [backup-simplify]: Simplify (* 1 1) into 1
27.761 * [backup-simplify]: Simplify (* 1 1) into 1
27.761 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.762 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
27.762 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.762 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
27.762 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.763 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.763 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
27.763 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
27.763 * [taylor]: Taking taylor expansion of 16.0 in beta
27.763 * [backup-simplify]: Simplify 16.0 into 16.0
27.763 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
27.763 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
27.763 * [taylor]: Taking taylor expansion of (pow i 2) in beta
27.763 * [taylor]: Taking taylor expansion of i in beta
27.763 * [backup-simplify]: Simplify i into i
27.763 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.763 * [taylor]: Taking taylor expansion of beta in beta
27.763 * [backup-simplify]: Simplify 0 into 0
27.763 * [backup-simplify]: Simplify 1 into 1
27.763 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
27.763 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
27.763 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.763 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.763 * [taylor]: Taking taylor expansion of 2.0 in beta
27.763 * [backup-simplify]: Simplify 2.0 into 2.0
27.763 * [taylor]: Taking taylor expansion of i in beta
27.763 * [backup-simplify]: Simplify i into i
27.763 * [taylor]: Taking taylor expansion of beta in beta
27.763 * [backup-simplify]: Simplify 0 into 0
27.763 * [backup-simplify]: Simplify 1 into 1
27.763 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.763 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.763 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
27.764 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.764 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.764 * [taylor]: Taking taylor expansion of 2.0 in beta
27.764 * [backup-simplify]: Simplify 2.0 into 2.0
27.764 * [taylor]: Taking taylor expansion of i in beta
27.764 * [backup-simplify]: Simplify i into i
27.764 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.764 * [taylor]: Taking taylor expansion of beta in beta
27.764 * [backup-simplify]: Simplify 0 into 0
27.764 * [backup-simplify]: Simplify 1 into 1
27.764 * [taylor]: Taking taylor expansion of 2.0 in beta
27.764 * [backup-simplify]: Simplify 2.0 into 2.0
27.764 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.764 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.765 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.765 * [backup-simplify]: Simplify (* i i) into (pow i 2)
27.765 * [backup-simplify]: Simplify (* 1 1) into 1
27.765 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
27.765 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.765 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
27.766 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.766 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
27.766 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.766 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
27.767 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
27.767 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
27.767 * [taylor]: Taking taylor expansion of 4 in beta
27.767 * [backup-simplify]: Simplify 4 into 4
27.767 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
27.767 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
27.767 * [taylor]: Taking taylor expansion of beta in beta
27.767 * [backup-simplify]: Simplify 0 into 0
27.767 * [backup-simplify]: Simplify 1 into 1
27.767 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
27.767 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
27.767 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.767 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.767 * [taylor]: Taking taylor expansion of 2.0 in beta
27.767 * [backup-simplify]: Simplify 2.0 into 2.0
27.767 * [taylor]: Taking taylor expansion of i in beta
27.767 * [backup-simplify]: Simplify i into i
27.767 * [taylor]: Taking taylor expansion of beta in beta
27.767 * [backup-simplify]: Simplify 0 into 0
27.767 * [backup-simplify]: Simplify 1 into 1
27.767 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.767 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.767 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
27.767 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.767 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.767 * [taylor]: Taking taylor expansion of 2.0 in beta
27.767 * [backup-simplify]: Simplify 2.0 into 2.0
27.767 * [taylor]: Taking taylor expansion of i in beta
27.767 * [backup-simplify]: Simplify i into i
27.767 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.767 * [taylor]: Taking taylor expansion of beta in beta
27.767 * [backup-simplify]: Simplify 0 into 0
27.767 * [backup-simplify]: Simplify 1 into 1
27.767 * [taylor]: Taking taylor expansion of 2.0 in beta
27.768 * [backup-simplify]: Simplify 2.0 into 2.0
27.768 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.768 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.768 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.769 * [backup-simplify]: Simplify (* 1 1) into 1
27.769 * [backup-simplify]: Simplify (* 1 1) into 1
27.769 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.769 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
27.769 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.770 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
27.770 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.770 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.770 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
27.770 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
27.771 * [taylor]: Taking taylor expansion of 16.0 in beta
27.771 * [backup-simplify]: Simplify 16.0 into 16.0
27.771 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
27.771 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
27.771 * [taylor]: Taking taylor expansion of i in beta
27.771 * [backup-simplify]: Simplify i into i
27.771 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
27.771 * [taylor]: Taking taylor expansion of beta in beta
27.771 * [backup-simplify]: Simplify 0 into 0
27.771 * [backup-simplify]: Simplify 1 into 1
27.771 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
27.771 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
27.771 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.771 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.771 * [taylor]: Taking taylor expansion of 2.0 in beta
27.771 * [backup-simplify]: Simplify 2.0 into 2.0
27.771 * [taylor]: Taking taylor expansion of i in beta
27.771 * [backup-simplify]: Simplify i into i
27.771 * [taylor]: Taking taylor expansion of beta in beta
27.771 * [backup-simplify]: Simplify 0 into 0
27.771 * [backup-simplify]: Simplify 1 into 1
27.771 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.771 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.771 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
27.771 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.771 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.771 * [taylor]: Taking taylor expansion of 2.0 in beta
27.771 * [backup-simplify]: Simplify 2.0 into 2.0
27.771 * [taylor]: Taking taylor expansion of i in beta
27.771 * [backup-simplify]: Simplify i into i
27.771 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.771 * [taylor]: Taking taylor expansion of beta in beta
27.771 * [backup-simplify]: Simplify 0 into 0
27.771 * [backup-simplify]: Simplify 1 into 1
27.771 * [taylor]: Taking taylor expansion of 2.0 in beta
27.771 * [backup-simplify]: Simplify 2.0 into 2.0
27.772 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.772 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.772 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.773 * [backup-simplify]: Simplify (* 1 1) into 1
27.773 * [backup-simplify]: Simplify (* 1 1) into 1
27.773 * [backup-simplify]: Simplify (* i 1) into i
27.773 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.773 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
27.774 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.774 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
27.774 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.775 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
27.775 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
27.775 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
27.775 * [taylor]: Taking taylor expansion of 16.0 in beta
27.775 * [backup-simplify]: Simplify 16.0 into 16.0
27.775 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
27.775 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
27.775 * [taylor]: Taking taylor expansion of i in beta
27.775 * [backup-simplify]: Simplify i into i
27.775 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.775 * [taylor]: Taking taylor expansion of beta in beta
27.775 * [backup-simplify]: Simplify 0 into 0
27.775 * [backup-simplify]: Simplify 1 into 1
27.775 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
27.775 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
27.775 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.775 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.775 * [taylor]: Taking taylor expansion of 2.0 in beta
27.775 * [backup-simplify]: Simplify 2.0 into 2.0
27.775 * [taylor]: Taking taylor expansion of i in beta
27.775 * [backup-simplify]: Simplify i into i
27.775 * [taylor]: Taking taylor expansion of beta in beta
27.775 * [backup-simplify]: Simplify 0 into 0
27.775 * [backup-simplify]: Simplify 1 into 1
27.775 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.775 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.775 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
27.775 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.776 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.776 * [taylor]: Taking taylor expansion of 2.0 in beta
27.776 * [backup-simplify]: Simplify 2.0 into 2.0
27.776 * [taylor]: Taking taylor expansion of i in beta
27.776 * [backup-simplify]: Simplify i into i
27.776 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.776 * [taylor]: Taking taylor expansion of beta in beta
27.776 * [backup-simplify]: Simplify 0 into 0
27.776 * [backup-simplify]: Simplify 1 into 1
27.776 * [taylor]: Taking taylor expansion of 2.0 in beta
27.776 * [backup-simplify]: Simplify 2.0 into 2.0
27.776 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.776 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.777 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.777 * [backup-simplify]: Simplify (* 1 1) into 1
27.777 * [backup-simplify]: Simplify (* i 1) into i
27.777 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.777 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
27.777 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.778 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
27.778 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.778 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
27.778 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
27.778 * [taylor]: Taking taylor expansion of 4.0 in beta
27.779 * [backup-simplify]: Simplify 4.0 into 4.0
27.779 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
27.779 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.779 * [taylor]: Taking taylor expansion of beta in beta
27.779 * [backup-simplify]: Simplify 0 into 0
27.779 * [backup-simplify]: Simplify 1 into 1
27.779 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
27.779 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
27.779 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.779 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.779 * [taylor]: Taking taylor expansion of 2.0 in beta
27.779 * [backup-simplify]: Simplify 2.0 into 2.0
27.779 * [taylor]: Taking taylor expansion of i in beta
27.779 * [backup-simplify]: Simplify i into i
27.779 * [taylor]: Taking taylor expansion of beta in beta
27.779 * [backup-simplify]: Simplify 0 into 0
27.779 * [backup-simplify]: Simplify 1 into 1
27.779 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.779 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.779 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
27.779 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.779 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.779 * [taylor]: Taking taylor expansion of 2.0 in beta
27.779 * [backup-simplify]: Simplify 2.0 into 2.0
27.779 * [taylor]: Taking taylor expansion of i in beta
27.779 * [backup-simplify]: Simplify i into i
27.779 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.779 * [taylor]: Taking taylor expansion of beta in beta
27.779 * [backup-simplify]: Simplify 0 into 0
27.779 * [backup-simplify]: Simplify 1 into 1
27.779 * [taylor]: Taking taylor expansion of 2.0 in beta
27.779 * [backup-simplify]: Simplify 2.0 into 2.0
27.780 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.780 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.780 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.781 * [backup-simplify]: Simplify (* 1 1) into 1
27.781 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.781 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
27.781 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.781 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
27.782 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.782 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
27.782 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
27.782 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
27.782 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.782 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.782 * [taylor]: Taking taylor expansion of 2.0 in beta
27.782 * [backup-simplify]: Simplify 2.0 into 2.0
27.782 * [taylor]: Taking taylor expansion of i in beta
27.782 * [backup-simplify]: Simplify i into i
27.782 * [taylor]: Taking taylor expansion of beta in beta
27.782 * [backup-simplify]: Simplify 0 into 0
27.783 * [backup-simplify]: Simplify 1 into 1
27.783 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.783 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.783 * [taylor]: Taking taylor expansion of 2.0 in beta
27.783 * [backup-simplify]: Simplify 2.0 into 2.0
27.783 * [taylor]: Taking taylor expansion of i in beta
27.783 * [backup-simplify]: Simplify i into i
27.783 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.783 * [taylor]: Taking taylor expansion of beta in beta
27.783 * [backup-simplify]: Simplify 0 into 0
27.783 * [backup-simplify]: Simplify 1 into 1
27.783 * [taylor]: Taking taylor expansion of 2.0 in beta
27.783 * [backup-simplify]: Simplify 2.0 into 2.0
27.783 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.783 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.783 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.784 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.784 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.784 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
27.784 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
27.784 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
27.784 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.785 * [taylor]: Taking taylor expansion of beta in beta
27.785 * [backup-simplify]: Simplify 0 into 0
27.785 * [backup-simplify]: Simplify 1 into 1
27.785 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
27.785 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
27.785 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.785 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.785 * [taylor]: Taking taylor expansion of 2.0 in beta
27.785 * [backup-simplify]: Simplify 2.0 into 2.0
27.785 * [taylor]: Taking taylor expansion of i in beta
27.785 * [backup-simplify]: Simplify i into i
27.785 * [taylor]: Taking taylor expansion of beta in beta
27.785 * [backup-simplify]: Simplify 0 into 0
27.785 * [backup-simplify]: Simplify 1 into 1
27.785 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.785 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.785 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
27.785 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.785 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.785 * [taylor]: Taking taylor expansion of 2.0 in beta
27.785 * [backup-simplify]: Simplify 2.0 into 2.0
27.785 * [taylor]: Taking taylor expansion of i in beta
27.785 * [backup-simplify]: Simplify i into i
27.785 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.785 * [taylor]: Taking taylor expansion of beta in beta
27.785 * [backup-simplify]: Simplify 0 into 0
27.785 * [backup-simplify]: Simplify 1 into 1
27.785 * [taylor]: Taking taylor expansion of 2.0 in beta
27.785 * [backup-simplify]: Simplify 2.0 into 2.0
27.786 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.787 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.787 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.787 * [backup-simplify]: Simplify (* 1 1) into 1
27.787 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.787 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.788 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.788 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.795 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
27.795 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
27.795 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
27.795 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
27.795 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
27.795 * [taylor]: Taking taylor expansion of 0.5 in i
27.795 * [backup-simplify]: Simplify 0.5 into 0.5
27.795 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
27.795 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
27.795 * [taylor]: Taking taylor expansion of i in i
27.795 * [backup-simplify]: Simplify 0 into 0
27.795 * [backup-simplify]: Simplify 1 into 1
27.795 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
27.795 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
27.795 * [taylor]: Taking taylor expansion of 2.0 in i
27.796 * [backup-simplify]: Simplify 2.0 into 2.0
27.796 * [taylor]: Taking taylor expansion of i in i
27.796 * [backup-simplify]: Simplify 0 into 0
27.796 * [backup-simplify]: Simplify 1 into 1
27.796 * [taylor]: Taking taylor expansion of 2.0 in i
27.796 * [backup-simplify]: Simplify 2.0 into 2.0
27.796 * [backup-simplify]: Simplify (* 2.0 0) into 0
27.797 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.797 * [backup-simplify]: Simplify (* 0 2.0) into 0
27.807 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
27.807 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
27.809 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
27.809 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
27.815 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
27.815 * [backup-simplify]: Simplify (+ 0 0) into 0
27.818 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
27.820 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
27.828 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
27.829 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
27.829 * [backup-simplify]: Simplify 0.25 into 0.25
27.829 * [taylor]: Taking taylor expansion of (/ 0.5 (* i (+ (* 2.0 i) 2.0))) in i
27.829 * [taylor]: Taking taylor expansion of 0.5 in i
27.829 * [backup-simplify]: Simplify 0.5 into 0.5
27.829 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
27.829 * [taylor]: Taking taylor expansion of i in i
27.829 * [backup-simplify]: Simplify 0 into 0
27.829 * [backup-simplify]: Simplify 1 into 1
27.829 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
27.829 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
27.829 * [taylor]: Taking taylor expansion of 2.0 in i
27.829 * [backup-simplify]: Simplify 2.0 into 2.0
27.829 * [taylor]: Taking taylor expansion of i in i
27.829 * [backup-simplify]: Simplify 0 into 0
27.829 * [backup-simplify]: Simplify 1 into 1
27.830 * [taylor]: Taking taylor expansion of 2.0 in i
27.830 * [backup-simplify]: Simplify 2.0 into 2.0
27.830 * [backup-simplify]: Simplify (* 2.0 0) into 0
27.831 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.831 * [backup-simplify]: Simplify (* 0 2.0) into 0
27.833 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
27.833 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
27.843 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
27.843 * [backup-simplify]: Simplify (/ 0.5 2.0) into 0.25
27.844 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
27.845 * [backup-simplify]: Simplify (+ 0 0) into 0
27.847 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
27.850 * [backup-simplify]: Simplify (- (/ 0 2.0) (+ (* 0.25 (/ 2.0 2.0)))) into (- 0.25)
27.859 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
27.860 * [backup-simplify]: Simplify (- 0) into 0
27.860 * [backup-simplify]: Simplify (+ 0 0) into 0
27.861 * [backup-simplify]: Simplify (+ 0 0) into 0
27.862 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 1 0) (+ (* 0 -1) (* 0 beta)))) into 0
27.868 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
27.868 * [backup-simplify]: Simplify (+ 0 0) into 0
27.868 * [backup-simplify]: Simplify (+ 0 0) into 0
27.869 * [backup-simplify]: Simplify (+ 0 0) into 0
27.870 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 i)))) into 0
27.871 * [backup-simplify]: Simplify (+ 0 0) into 0
27.871 * [backup-simplify]: Simplify (+ 0 0) into 0
27.872 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 0) (+ (* 0 1) (* 0 (+ (* 2.0 i) (+ beta 2.0)))))) into 0
27.899 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))))
27.900 * [taylor]: Taking taylor expansion of (- (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))))) in beta
27.900 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
27.900 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
27.900 * [taylor]: Taking taylor expansion of 4 in beta
27.900 * [backup-simplify]: Simplify 4 into 4
27.900 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
27.900 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
27.900 * [taylor]: Taking taylor expansion of beta in beta
27.900 * [backup-simplify]: Simplify 0 into 0
27.900 * [backup-simplify]: Simplify 1 into 1
27.900 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
27.900 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
27.900 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.900 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.900 * [taylor]: Taking taylor expansion of 2.0 in beta
27.900 * [backup-simplify]: Simplify 2.0 into 2.0
27.900 * [taylor]: Taking taylor expansion of i in beta
27.900 * [backup-simplify]: Simplify i into i
27.900 * [taylor]: Taking taylor expansion of beta in beta
27.901 * [backup-simplify]: Simplify 0 into 0
27.901 * [backup-simplify]: Simplify 1 into 1
27.901 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.901 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.901 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
27.901 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.901 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.901 * [taylor]: Taking taylor expansion of 2.0 in beta
27.901 * [backup-simplify]: Simplify 2.0 into 2.0
27.901 * [taylor]: Taking taylor expansion of i in beta
27.901 * [backup-simplify]: Simplify i into i
27.901 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.901 * [taylor]: Taking taylor expansion of beta in beta
27.901 * [backup-simplify]: Simplify 0 into 0
27.901 * [backup-simplify]: Simplify 1 into 1
27.901 * [taylor]: Taking taylor expansion of 2.0 in beta
27.901 * [backup-simplify]: Simplify 2.0 into 2.0
27.901 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.902 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.902 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.902 * [backup-simplify]: Simplify (* 1 1) into 1
27.903 * [backup-simplify]: Simplify (* 1 1) into 1
27.903 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.903 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
27.903 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.904 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
27.904 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.904 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.904 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
27.904 * [taylor]: Taking taylor expansion of (* 4.0 (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)))) in beta
27.904 * [taylor]: Taking taylor expansion of 4.0 in beta
27.904 * [backup-simplify]: Simplify 4.0 into 4.0
27.905 * [taylor]: Taking taylor expansion of (/ i (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2))) in beta
27.905 * [taylor]: Taking taylor expansion of i in beta
27.905 * [backup-simplify]: Simplify i into i
27.905 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) (+ beta 2.0)) 2) (pow (+ (* 2.0 i) beta) 2)) in beta
27.905 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
27.905 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.905 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.905 * [taylor]: Taking taylor expansion of 2.0 in beta
27.905 * [backup-simplify]: Simplify 2.0 into 2.0
27.905 * [taylor]: Taking taylor expansion of i in beta
27.905 * [backup-simplify]: Simplify i into i
27.905 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.905 * [taylor]: Taking taylor expansion of beta in beta
27.905 * [backup-simplify]: Simplify 0 into 0
27.905 * [backup-simplify]: Simplify 1 into 1
27.905 * [taylor]: Taking taylor expansion of 2.0 in beta
27.905 * [backup-simplify]: Simplify 2.0 into 2.0
27.905 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.906 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.906 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.906 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
27.906 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.906 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.906 * [taylor]: Taking taylor expansion of 2.0 in beta
27.906 * [backup-simplify]: Simplify 2.0 into 2.0
27.906 * [taylor]: Taking taylor expansion of i in beta
27.906 * [backup-simplify]: Simplify i into i
27.906 * [taylor]: Taking taylor expansion of beta in beta
27.906 * [backup-simplify]: Simplify 0 into 0
27.906 * [backup-simplify]: Simplify 1 into 1
27.906 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.906 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.906 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.907 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.907 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (* 4.0 (pow i 2))) into (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))
27.907 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow (+ (* 2.0 i) 2.0) 2) (pow i 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
27.907 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
27.907 * [taylor]: Taking taylor expansion of (* 8.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
27.907 * [taylor]: Taking taylor expansion of 8.0 in beta
27.907 * [backup-simplify]: Simplify 8.0 into 8.0
27.907 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
27.908 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
27.908 * [taylor]: Taking taylor expansion of i in beta
27.908 * [backup-simplify]: Simplify i into i
27.908 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.908 * [taylor]: Taking taylor expansion of beta in beta
27.908 * [backup-simplify]: Simplify 0 into 0
27.908 * [backup-simplify]: Simplify 1 into 1
27.908 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
27.908 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
27.908 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.908 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.908 * [taylor]: Taking taylor expansion of 2.0 in beta
27.908 * [backup-simplify]: Simplify 2.0 into 2.0
27.908 * [taylor]: Taking taylor expansion of i in beta
27.908 * [backup-simplify]: Simplify i into i
27.908 * [taylor]: Taking taylor expansion of beta in beta
27.908 * [backup-simplify]: Simplify 0 into 0
27.908 * [backup-simplify]: Simplify 1 into 1
27.908 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.908 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.908 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
27.908 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.908 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.908 * [taylor]: Taking taylor expansion of 2.0 in beta
27.908 * [backup-simplify]: Simplify 2.0 into 2.0
27.908 * [taylor]: Taking taylor expansion of i in beta
27.908 * [backup-simplify]: Simplify i into i
27.908 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.908 * [taylor]: Taking taylor expansion of beta in beta
27.909 * [backup-simplify]: Simplify 0 into 0
27.909 * [backup-simplify]: Simplify 1 into 1
27.909 * [taylor]: Taking taylor expansion of 2.0 in beta
27.909 * [backup-simplify]: Simplify 2.0 into 2.0
27.909 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.909 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.909 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.910 * [backup-simplify]: Simplify (* 1 1) into 1
27.910 * [backup-simplify]: Simplify (* i 1) into i
27.910 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.910 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
27.910 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.911 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
27.911 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.911 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
27.911 * [taylor]: Taking taylor expansion of (+ (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
27.911 * [taylor]: Taking taylor expansion of (* 2 (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
27.911 * [taylor]: Taking taylor expansion of 2 in beta
27.912 * [backup-simplify]: Simplify 2 into 2
27.912 * [taylor]: Taking taylor expansion of (/ beta (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
27.912 * [taylor]: Taking taylor expansion of beta in beta
27.912 * [backup-simplify]: Simplify 0 into 0
27.912 * [backup-simplify]: Simplify 1 into 1
27.912 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
27.912 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
27.912 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.912 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.912 * [taylor]: Taking taylor expansion of 2.0 in beta
27.912 * [backup-simplify]: Simplify 2.0 into 2.0
27.912 * [taylor]: Taking taylor expansion of i in beta
27.912 * [backup-simplify]: Simplify i into i
27.912 * [taylor]: Taking taylor expansion of beta in beta
27.912 * [backup-simplify]: Simplify 0 into 0
27.912 * [backup-simplify]: Simplify 1 into 1
27.912 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.912 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.912 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
27.912 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.912 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.912 * [taylor]: Taking taylor expansion of 2.0 in beta
27.912 * [backup-simplify]: Simplify 2.0 into 2.0
27.912 * [taylor]: Taking taylor expansion of i in beta
27.912 * [backup-simplify]: Simplify i into i
27.912 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.912 * [taylor]: Taking taylor expansion of beta in beta
27.912 * [backup-simplify]: Simplify 0 into 0
27.912 * [backup-simplify]: Simplify 1 into 1
27.913 * [taylor]: Taking taylor expansion of 2.0 in beta
27.913 * [backup-simplify]: Simplify 2.0 into 2.0
27.913 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.913 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.913 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.913 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.914 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.914 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.914 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.914 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
27.914 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
27.914 * [taylor]: Taking taylor expansion of 2.0 in beta
27.915 * [backup-simplify]: Simplify 2.0 into 2.0
27.915 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
27.915 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
27.915 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
27.915 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.915 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.915 * [taylor]: Taking taylor expansion of 2.0 in beta
27.915 * [backup-simplify]: Simplify 2.0 into 2.0
27.915 * [taylor]: Taking taylor expansion of i in beta
27.915 * [backup-simplify]: Simplify i into i
27.915 * [taylor]: Taking taylor expansion of beta in beta
27.915 * [backup-simplify]: Simplify 0 into 0
27.915 * [backup-simplify]: Simplify 1 into 1
27.915 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.915 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.915 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
27.915 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.915 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.915 * [taylor]: Taking taylor expansion of 2.0 in beta
27.915 * [backup-simplify]: Simplify 2.0 into 2.0
27.915 * [taylor]: Taking taylor expansion of i in beta
27.915 * [backup-simplify]: Simplify i into i
27.915 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.915 * [taylor]: Taking taylor expansion of beta in beta
27.915 * [backup-simplify]: Simplify 0 into 0
27.915 * [backup-simplify]: Simplify 1 into 1
27.915 * [taylor]: Taking taylor expansion of 2.0 in beta
27.915 * [backup-simplify]: Simplify 2.0 into 2.0
27.915 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.916 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.916 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.916 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.916 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.917 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.917 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.917 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
27.917 * [taylor]: Taking taylor expansion of 4.0 in beta
27.917 * [backup-simplify]: Simplify 4.0 into 4.0
27.917 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
27.917 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.917 * [taylor]: Taking taylor expansion of beta in beta
27.917 * [backup-simplify]: Simplify 0 into 0
27.917 * [backup-simplify]: Simplify 1 into 1
27.917 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
27.918 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
27.918 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.918 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.918 * [taylor]: Taking taylor expansion of 2.0 in beta
27.918 * [backup-simplify]: Simplify 2.0 into 2.0
27.918 * [taylor]: Taking taylor expansion of i in beta
27.918 * [backup-simplify]: Simplify i into i
27.918 * [taylor]: Taking taylor expansion of beta in beta
27.918 * [backup-simplify]: Simplify 0 into 0
27.918 * [backup-simplify]: Simplify 1 into 1
27.918 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.918 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.918 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
27.918 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.918 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.918 * [taylor]: Taking taylor expansion of 2.0 in beta
27.918 * [backup-simplify]: Simplify 2.0 into 2.0
27.918 * [taylor]: Taking taylor expansion of i in beta
27.918 * [backup-simplify]: Simplify i into i
27.918 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.918 * [taylor]: Taking taylor expansion of beta in beta
27.919 * [backup-simplify]: Simplify 0 into 0
27.919 * [backup-simplify]: Simplify 1 into 1
27.919 * [taylor]: Taking taylor expansion of 2.0 in beta
27.919 * [backup-simplify]: Simplify 2.0 into 2.0
27.919 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.919 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.919 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.920 * [backup-simplify]: Simplify (* 1 1) into 1
27.920 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.920 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
27.920 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.921 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
27.921 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.921 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
27.921 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))))) in beta
27.921 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
27.921 * [taylor]: Taking taylor expansion of 48.0 in beta
27.922 * [backup-simplify]: Simplify 48.0 into 48.0
27.922 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 4)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
27.922 * [taylor]: Taking taylor expansion of (* i (pow beta 4)) in beta
27.922 * [taylor]: Taking taylor expansion of i in beta
27.922 * [backup-simplify]: Simplify i into i
27.922 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
27.922 * [taylor]: Taking taylor expansion of beta in beta
27.922 * [backup-simplify]: Simplify 0 into 0
27.922 * [backup-simplify]: Simplify 1 into 1
27.922 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
27.922 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
27.922 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.922 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.922 * [taylor]: Taking taylor expansion of 2.0 in beta
27.922 * [backup-simplify]: Simplify 2.0 into 2.0
27.922 * [taylor]: Taking taylor expansion of i in beta
27.922 * [backup-simplify]: Simplify i into i
27.922 * [taylor]: Taking taylor expansion of beta in beta
27.922 * [backup-simplify]: Simplify 0 into 0
27.922 * [backup-simplify]: Simplify 1 into 1
27.922 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.922 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.922 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
27.922 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.922 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.922 * [taylor]: Taking taylor expansion of 2.0 in beta
27.922 * [backup-simplify]: Simplify 2.0 into 2.0
27.923 * [taylor]: Taking taylor expansion of i in beta
27.923 * [backup-simplify]: Simplify i into i
27.923 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.923 * [taylor]: Taking taylor expansion of beta in beta
27.923 * [backup-simplify]: Simplify 0 into 0
27.923 * [backup-simplify]: Simplify 1 into 1
27.923 * [taylor]: Taking taylor expansion of 2.0 in beta
27.923 * [backup-simplify]: Simplify 2.0 into 2.0
27.923 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.923 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.923 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.924 * [backup-simplify]: Simplify (* 1 1) into 1
27.924 * [backup-simplify]: Simplify (* 1 1) into 1
27.924 * [backup-simplify]: Simplify (* i 1) into i
27.924 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.925 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
27.925 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.925 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.925 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.926 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
27.926 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))))) in beta
27.926 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
27.926 * [taylor]: Taking taylor expansion of 24.0 in beta
27.926 * [backup-simplify]: Simplify 24.0 into 24.0
27.926 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
27.926 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
27.926 * [taylor]: Taking taylor expansion of beta in beta
27.926 * [backup-simplify]: Simplify 0 into 0
27.926 * [backup-simplify]: Simplify 1 into 1
27.926 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
27.926 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
27.926 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.926 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.926 * [taylor]: Taking taylor expansion of 2.0 in beta
27.926 * [backup-simplify]: Simplify 2.0 into 2.0
27.926 * [taylor]: Taking taylor expansion of i in beta
27.927 * [backup-simplify]: Simplify i into i
27.927 * [taylor]: Taking taylor expansion of beta in beta
27.927 * [backup-simplify]: Simplify 0 into 0
27.927 * [backup-simplify]: Simplify 1 into 1
27.927 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.927 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.927 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
27.927 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.927 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.927 * [taylor]: Taking taylor expansion of 2.0 in beta
27.927 * [backup-simplify]: Simplify 2.0 into 2.0
27.927 * [taylor]: Taking taylor expansion of i in beta
27.927 * [backup-simplify]: Simplify i into i
27.927 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.927 * [taylor]: Taking taylor expansion of beta in beta
27.927 * [backup-simplify]: Simplify 0 into 0
27.927 * [backup-simplify]: Simplify 1 into 1
27.927 * [taylor]: Taking taylor expansion of 2.0 in beta
27.927 * [backup-simplify]: Simplify 2.0 into 2.0
27.927 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.928 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.928 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.929 * [backup-simplify]: Simplify (* 1 1) into 1
27.929 * [backup-simplify]: Simplify (* 1 1) into 1
27.929 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.930 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
27.930 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.930 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.931 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.931 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.931 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))))) in beta
27.931 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
27.931 * [taylor]: Taking taylor expansion of 96.0 in beta
27.931 * [backup-simplify]: Simplify 96.0 into 96.0
27.931 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
27.931 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
27.931 * [taylor]: Taking taylor expansion of i in beta
27.932 * [backup-simplify]: Simplify i into i
27.932 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
27.932 * [taylor]: Taking taylor expansion of beta in beta
27.932 * [backup-simplify]: Simplify 0 into 0
27.932 * [backup-simplify]: Simplify 1 into 1
27.932 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
27.932 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
27.932 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.932 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.932 * [taylor]: Taking taylor expansion of 2.0 in beta
27.932 * [backup-simplify]: Simplify 2.0 into 2.0
27.932 * [taylor]: Taking taylor expansion of i in beta
27.932 * [backup-simplify]: Simplify i into i
27.932 * [taylor]: Taking taylor expansion of beta in beta
27.932 * [backup-simplify]: Simplify 0 into 0
27.932 * [backup-simplify]: Simplify 1 into 1
27.932 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.932 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.932 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
27.932 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.932 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.932 * [taylor]: Taking taylor expansion of 2.0 in beta
27.932 * [backup-simplify]: Simplify 2.0 into 2.0
27.932 * [taylor]: Taking taylor expansion of i in beta
27.932 * [backup-simplify]: Simplify i into i
27.932 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.932 * [taylor]: Taking taylor expansion of beta in beta
27.932 * [backup-simplify]: Simplify 0 into 0
27.932 * [backup-simplify]: Simplify 1 into 1
27.932 * [taylor]: Taking taylor expansion of 2.0 in beta
27.932 * [backup-simplify]: Simplify 2.0 into 2.0
27.933 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.933 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.933 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.934 * [backup-simplify]: Simplify (* 1 1) into 1
27.934 * [backup-simplify]: Simplify (* 1 1) into 1
27.934 * [backup-simplify]: Simplify (* i 1) into i
27.934 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.934 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
27.935 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.935 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.935 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.936 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
27.936 * [taylor]: Taking taylor expansion of (+ (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))))) in beta
27.936 * [taylor]: Taking taylor expansion of (* 8 (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
27.936 * [taylor]: Taking taylor expansion of 8 in beta
27.936 * [backup-simplify]: Simplify 8 into 8
27.936 * [taylor]: Taking taylor expansion of (/ (pow beta 5) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
27.936 * [taylor]: Taking taylor expansion of (pow beta 5) in beta
27.936 * [taylor]: Taking taylor expansion of beta in beta
27.936 * [backup-simplify]: Simplify 0 into 0
27.936 * [backup-simplify]: Simplify 1 into 1
27.936 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
27.936 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
27.936 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.936 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.936 * [taylor]: Taking taylor expansion of 2.0 in beta
27.936 * [backup-simplify]: Simplify 2.0 into 2.0
27.936 * [taylor]: Taking taylor expansion of i in beta
27.936 * [backup-simplify]: Simplify i into i
27.936 * [taylor]: Taking taylor expansion of beta in beta
27.936 * [backup-simplify]: Simplify 0 into 0
27.936 * [backup-simplify]: Simplify 1 into 1
27.937 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.937 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.937 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
27.937 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.937 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.937 * [taylor]: Taking taylor expansion of 2.0 in beta
27.937 * [backup-simplify]: Simplify 2.0 into 2.0
27.937 * [taylor]: Taking taylor expansion of i in beta
27.937 * [backup-simplify]: Simplify i into i
27.937 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.937 * [taylor]: Taking taylor expansion of beta in beta
27.937 * [backup-simplify]: Simplify 0 into 0
27.937 * [backup-simplify]: Simplify 1 into 1
27.937 * [taylor]: Taking taylor expansion of 2.0 in beta
27.937 * [backup-simplify]: Simplify 2.0 into 2.0
27.937 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.938 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.938 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.938 * [backup-simplify]: Simplify (* 1 1) into 1
27.939 * [backup-simplify]: Simplify (* 1 1) into 1
27.939 * [backup-simplify]: Simplify (* 1 1) into 1
27.939 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.940 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
27.940 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.940 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.940 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.941 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.941 * [taylor]: Taking taylor expansion of (+ (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))))) in beta
27.941 * [taylor]: Taking taylor expansion of (* 64.0 (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
27.941 * [taylor]: Taking taylor expansion of 64.0 in beta
27.941 * [backup-simplify]: Simplify 64.0 into 64.0
27.941 * [taylor]: Taking taylor expansion of (/ (* (pow i 3) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
27.941 * [taylor]: Taking taylor expansion of (* (pow i 3) (pow beta 2)) in beta
27.941 * [taylor]: Taking taylor expansion of (pow i 3) in beta
27.941 * [taylor]: Taking taylor expansion of i in beta
27.941 * [backup-simplify]: Simplify i into i
27.941 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.941 * [taylor]: Taking taylor expansion of beta in beta
27.941 * [backup-simplify]: Simplify 0 into 0
27.941 * [backup-simplify]: Simplify 1 into 1
27.941 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
27.941 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
27.941 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.941 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.941 * [taylor]: Taking taylor expansion of 2.0 in beta
27.941 * [backup-simplify]: Simplify 2.0 into 2.0
27.941 * [taylor]: Taking taylor expansion of i in beta
27.941 * [backup-simplify]: Simplify i into i
27.941 * [taylor]: Taking taylor expansion of beta in beta
27.942 * [backup-simplify]: Simplify 0 into 0
27.942 * [backup-simplify]: Simplify 1 into 1
27.942 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.942 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.942 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
27.942 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.942 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.942 * [taylor]: Taking taylor expansion of 2.0 in beta
27.942 * [backup-simplify]: Simplify 2.0 into 2.0
27.942 * [taylor]: Taking taylor expansion of i in beta
27.942 * [backup-simplify]: Simplify i into i
27.942 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.942 * [taylor]: Taking taylor expansion of beta in beta
27.942 * [backup-simplify]: Simplify 0 into 0
27.942 * [backup-simplify]: Simplify 1 into 1
27.942 * [taylor]: Taking taylor expansion of 2.0 in beta
27.942 * [backup-simplify]: Simplify 2.0 into 2.0
27.942 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.943 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.943 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.943 * [backup-simplify]: Simplify (* i i) into (pow i 2)
27.943 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
27.943 * [backup-simplify]: Simplify (* 1 1) into 1
27.944 * [backup-simplify]: Simplify (* (pow i 3) 1) into (pow i 3)
27.944 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.944 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
27.944 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.945 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.945 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.945 * [backup-simplify]: Simplify (/ (pow i 3) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* i (pow (+ (* 2.0 i) 2.0) 4)))
27.945 * [taylor]: Taking taylor expansion of (+ (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))))) in beta
27.945 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
27.945 * [taylor]: Taking taylor expansion of 96.0 in beta
27.946 * [backup-simplify]: Simplify 96.0 into 96.0
27.946 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
27.946 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 3)) in beta
27.946 * [taylor]: Taking taylor expansion of (pow i 2) in beta
27.946 * [taylor]: Taking taylor expansion of i in beta
27.946 * [backup-simplify]: Simplify i into i
27.946 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
27.946 * [taylor]: Taking taylor expansion of beta in beta
27.946 * [backup-simplify]: Simplify 0 into 0
27.946 * [backup-simplify]: Simplify 1 into 1
27.946 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
27.946 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
27.946 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.946 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.946 * [taylor]: Taking taylor expansion of 2.0 in beta
27.946 * [backup-simplify]: Simplify 2.0 into 2.0
27.946 * [taylor]: Taking taylor expansion of i in beta
27.946 * [backup-simplify]: Simplify i into i
27.946 * [taylor]: Taking taylor expansion of beta in beta
27.946 * [backup-simplify]: Simplify 0 into 0
27.946 * [backup-simplify]: Simplify 1 into 1
27.946 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.946 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.946 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
27.946 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.946 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.946 * [taylor]: Taking taylor expansion of 2.0 in beta
27.946 * [backup-simplify]: Simplify 2.0 into 2.0
27.947 * [taylor]: Taking taylor expansion of i in beta
27.947 * [backup-simplify]: Simplify i into i
27.947 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.947 * [taylor]: Taking taylor expansion of beta in beta
27.947 * [backup-simplify]: Simplify 0 into 0
27.947 * [backup-simplify]: Simplify 1 into 1
27.947 * [taylor]: Taking taylor expansion of 2.0 in beta
27.947 * [backup-simplify]: Simplify 2.0 into 2.0
27.947 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.947 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.947 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.947 * [backup-simplify]: Simplify (* i i) into (pow i 2)
27.948 * [backup-simplify]: Simplify (* 1 1) into 1
27.948 * [backup-simplify]: Simplify (* 1 1) into 1
27.948 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
27.948 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.949 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
27.949 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.949 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.950 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.950 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
27.950 * [taylor]: Taking taylor expansion of (+ (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))))) in beta
27.950 * [taylor]: Taking taylor expansion of (* 24.0 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
27.950 * [taylor]: Taking taylor expansion of 24.0 in beta
27.950 * [backup-simplify]: Simplify 24.0 into 24.0
27.950 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
27.950 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
27.950 * [taylor]: Taking taylor expansion of beta in beta
27.950 * [backup-simplify]: Simplify 0 into 0
27.950 * [backup-simplify]: Simplify 1 into 1
27.950 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
27.950 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
27.951 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.951 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.951 * [taylor]: Taking taylor expansion of 2.0 in beta
27.951 * [backup-simplify]: Simplify 2.0 into 2.0
27.951 * [taylor]: Taking taylor expansion of i in beta
27.951 * [backup-simplify]: Simplify i into i
27.951 * [taylor]: Taking taylor expansion of beta in beta
27.951 * [backup-simplify]: Simplify 0 into 0
27.951 * [backup-simplify]: Simplify 1 into 1
27.951 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.951 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.951 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
27.951 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.951 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.951 * [taylor]: Taking taylor expansion of 2.0 in beta
27.951 * [backup-simplify]: Simplify 2.0 into 2.0
27.951 * [taylor]: Taking taylor expansion of i in beta
27.951 * [backup-simplify]: Simplify i into i
27.951 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.951 * [taylor]: Taking taylor expansion of beta in beta
27.951 * [backup-simplify]: Simplify 0 into 0
27.951 * [backup-simplify]: Simplify 1 into 1
27.951 * [taylor]: Taking taylor expansion of 2.0 in beta
27.951 * [backup-simplify]: Simplify 2.0 into 2.0
27.951 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.952 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.952 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.952 * [backup-simplify]: Simplify (* 1 1) into 1
27.953 * [backup-simplify]: Simplify (* 1 1) into 1
27.953 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.953 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
27.953 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.954 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.954 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.954 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.955 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))))) in beta
27.955 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
27.955 * [taylor]: Taking taylor expansion of 8.0 in beta
27.955 * [backup-simplify]: Simplify 8.0 into 8.0
27.955 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
27.955 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.955 * [taylor]: Taking taylor expansion of beta in beta
27.955 * [backup-simplify]: Simplify 0 into 0
27.955 * [backup-simplify]: Simplify 1 into 1
27.955 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
27.955 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
27.955 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.955 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.955 * [taylor]: Taking taylor expansion of 2.0 in beta
27.955 * [backup-simplify]: Simplify 2.0 into 2.0
27.955 * [taylor]: Taking taylor expansion of i in beta
27.955 * [backup-simplify]: Simplify i into i
27.955 * [taylor]: Taking taylor expansion of beta in beta
27.955 * [backup-simplify]: Simplify 0 into 0
27.955 * [backup-simplify]: Simplify 1 into 1
27.955 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.955 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.955 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
27.955 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.955 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.955 * [taylor]: Taking taylor expansion of 2.0 in beta
27.955 * [backup-simplify]: Simplify 2.0 into 2.0
27.955 * [taylor]: Taking taylor expansion of i in beta
27.955 * [backup-simplify]: Simplify i into i
27.955 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.956 * [taylor]: Taking taylor expansion of beta in beta
27.956 * [backup-simplify]: Simplify 0 into 0
27.956 * [backup-simplify]: Simplify 1 into 1
27.956 * [taylor]: Taking taylor expansion of 2.0 in beta
27.956 * [backup-simplify]: Simplify 2.0 into 2.0
27.956 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.956 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.956 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.957 * [backup-simplify]: Simplify (* 1 1) into 1
27.957 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.957 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
27.957 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.958 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.958 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.958 * [backup-simplify]: Simplify (/ 1 (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.958 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))))) in beta
27.958 * [taylor]: Taking taylor expansion of (* 48.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
27.958 * [taylor]: Taking taylor expansion of 48.0 in beta
27.958 * [backup-simplify]: Simplify 48.0 into 48.0
27.958 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
27.958 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
27.959 * [taylor]: Taking taylor expansion of i in beta
27.959 * [backup-simplify]: Simplify i into i
27.959 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.959 * [taylor]: Taking taylor expansion of beta in beta
27.959 * [backup-simplify]: Simplify 0 into 0
27.959 * [backup-simplify]: Simplify 1 into 1
27.959 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
27.959 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
27.959 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.959 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.959 * [taylor]: Taking taylor expansion of 2.0 in beta
27.959 * [backup-simplify]: Simplify 2.0 into 2.0
27.959 * [taylor]: Taking taylor expansion of i in beta
27.959 * [backup-simplify]: Simplify i into i
27.959 * [taylor]: Taking taylor expansion of beta in beta
27.959 * [backup-simplify]: Simplify 0 into 0
27.959 * [backup-simplify]: Simplify 1 into 1
27.959 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.959 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.959 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
27.959 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.959 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.959 * [taylor]: Taking taylor expansion of 2.0 in beta
27.959 * [backup-simplify]: Simplify 2.0 into 2.0
27.959 * [taylor]: Taking taylor expansion of i in beta
27.959 * [backup-simplify]: Simplify i into i
27.959 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.959 * [taylor]: Taking taylor expansion of beta in beta
27.959 * [backup-simplify]: Simplify 0 into 0
27.959 * [backup-simplify]: Simplify 1 into 1
27.959 * [taylor]: Taking taylor expansion of 2.0 in beta
27.959 * [backup-simplify]: Simplify 2.0 into 2.0
27.959 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.960 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.960 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.960 * [backup-simplify]: Simplify (* 1 1) into 1
27.961 * [backup-simplify]: Simplify (* i 1) into i
27.961 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.961 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
27.961 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.961 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.962 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.962 * [backup-simplify]: Simplify (/ i (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 4)))
27.962 * [taylor]: Taking taylor expansion of (* 96.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)))) in beta
27.962 * [taylor]: Taking taylor expansion of 96.0 in beta
27.962 * [backup-simplify]: Simplify 96.0 into 96.0
27.962 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4))) in beta
27.962 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
27.962 * [taylor]: Taking taylor expansion of (pow i 2) in beta
27.962 * [taylor]: Taking taylor expansion of i in beta
27.962 * [backup-simplify]: Simplify i into i
27.962 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
27.962 * [taylor]: Taking taylor expansion of beta in beta
27.963 * [backup-simplify]: Simplify 0 into 0
27.963 * [backup-simplify]: Simplify 1 into 1
27.963 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 4) (pow (+ (* 2.0 i) (+ beta 2.0)) 4)) in beta
27.963 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 4) in beta
27.963 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
27.963 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.963 * [taylor]: Taking taylor expansion of 2.0 in beta
27.963 * [backup-simplify]: Simplify 2.0 into 2.0
27.963 * [taylor]: Taking taylor expansion of i in beta
27.963 * [backup-simplify]: Simplify i into i
27.963 * [taylor]: Taking taylor expansion of beta in beta
27.963 * [backup-simplify]: Simplify 0 into 0
27.963 * [backup-simplify]: Simplify 1 into 1
27.963 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.963 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
27.963 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 4) in beta
27.963 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
27.963 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
27.963 * [taylor]: Taking taylor expansion of 2.0 in beta
27.963 * [backup-simplify]: Simplify 2.0 into 2.0
27.963 * [taylor]: Taking taylor expansion of i in beta
27.963 * [backup-simplify]: Simplify i into i
27.963 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
27.963 * [taylor]: Taking taylor expansion of beta in beta
27.963 * [backup-simplify]: Simplify 0 into 0
27.963 * [backup-simplify]: Simplify 1 into 1
27.963 * [taylor]: Taking taylor expansion of 2.0 in beta
27.963 * [backup-simplify]: Simplify 2.0 into 2.0
27.963 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
27.964 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.964 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
27.964 * [backup-simplify]: Simplify (* i i) into (pow i 2)
27.964 * [backup-simplify]: Simplify (* 1 1) into 1
27.965 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
27.965 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
27.965 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (* 4.0 (pow i 2))) into (* 16.0 (pow i 4))
27.965 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
27.965 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
27.966 * [backup-simplify]: Simplify (* (* 16.0 (pow i 4)) (pow (+ (* 2.0 i) 2.0) 4)) into (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))
27.966 * [backup-simplify]: Simplify (/ (pow i 2) (* 16.0 (* (pow i 4) (pow (+ (* 2.0 i) 2.0) 4)))) into (/ 0.0625 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 4)))
27.967 * [backup-simplify]: Simplify (* 4.0 (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2)))
27.967 * [backup-simplify]: Simplify (* 2.0 (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
27.967 * [backup-simplify]: Simplify (+ (/ 0.5 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) 0) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
27.968 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
27.968 * [backup-simplify]: Simplify (+ 0 (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))
27.969 * [backup-simplify]: Simplify (+ (/ 1.0 (* i (pow (+ (* 2.0 i) 2.0) 2))) (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
27.970 * [backup-simplify]: Simplify (+ 0 (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
27.971 * [backup-simplify]: Simplify (+ (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) 0) into (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))))
27.971 * [taylor]: Taking taylor expansion of (+ (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))))) in i
27.971 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) in i
27.971 * [taylor]: Taking taylor expansion of 0.5 in i
27.971 * [backup-simplify]: Simplify 0.5 into 0.5
27.971 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2))) in i
27.971 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)) in i
27.971 * [taylor]: Taking taylor expansion of (pow i 2) in i
27.971 * [taylor]: Taking taylor expansion of i in i
27.971 * [backup-simplify]: Simplify 0 into 0
27.971 * [backup-simplify]: Simplify 1 into 1
27.971 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
27.971 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
27.971 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
27.971 * [taylor]: Taking taylor expansion of 2.0 in i
27.971 * [backup-simplify]: Simplify 2.0 into 2.0
27.971 * [taylor]: Taking taylor expansion of i in i
27.971 * [backup-simplify]: Simplify 0 into 0
27.971 * [backup-simplify]: Simplify 1 into 1
27.971 * [taylor]: Taking taylor expansion of 2.0 in i
27.971 * [backup-simplify]: Simplify 2.0 into 2.0
27.972 * [backup-simplify]: Simplify (* 2.0 0) into 0
27.972 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.973 * [backup-simplify]: Simplify (* 1 1) into 1
27.973 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
27.973 * [backup-simplify]: Simplify (* 1 4.0) into 4.0
27.974 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
27.974 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2)))) in i
27.974 * [taylor]: Taking taylor expansion of 1.0 in i
27.974 * [backup-simplify]: Simplify 1.0 into 1.0
27.974 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow (+ (* 2.0 i) 2.0) 2))) in i
27.974 * [taylor]: Taking taylor expansion of (* i (pow (+ (* 2.0 i) 2.0) 2)) in i
27.974 * [taylor]: Taking taylor expansion of i in i
27.974 * [backup-simplify]: Simplify 0 into 0
27.974 * [backup-simplify]: Simplify 1 into 1
27.974 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 2) in i
27.974 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
27.974 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
27.974 * [taylor]: Taking taylor expansion of 2.0 in i
27.974 * [backup-simplify]: Simplify 2.0 into 2.0
27.974 * [taylor]: Taking taylor expansion of i in i
27.974 * [backup-simplify]: Simplify 0 into 0
27.974 * [backup-simplify]: Simplify 1 into 1
27.974 * [taylor]: Taking taylor expansion of 2.0 in i
27.974 * [backup-simplify]: Simplify 2.0 into 2.0
27.980 * [backup-simplify]: Simplify (* 2.0 0) into 0
27.981 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
27.981 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
27.981 * [backup-simplify]: Simplify (* 0 4.0) into 0
27.983 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
27.983 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
27.984 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
27.986 * [backup-simplify]: Simplify (+ (* 0 8.0) (* 1 4.0)) into 4.0
27.987 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25
27.988 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
27.988 * [backup-simplify]: Simplify (+ 0 0) into 0
27.989 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
27.990 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
27.992 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
27.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
27.994 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
27.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
27.997 * [backup-simplify]: Simplify (+ (* 1 4.0) (+ (* 0 8.0) (* 0 4.0))) into 4.0
27.999 * [backup-simplify]: Simplify (+ (* 1 8.0) (* 0 4.0)) into 8.0
28.001 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
28.006 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 4.0 4.0)) (* (- 0.5) (/ 8.0 4.0)))) into 0.75
28.009 * [backup-simplify]: Simplify (+ (* 0.5 0.75) (+ (* 0 (- 0.5)) (* 0 0.25))) into 0.375
28.010 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
28.010 * [backup-simplify]: Simplify (+ 0 0) into 0
28.013 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 2.0 2.0) (* 0 2.0))) into 4.0
28.024 * [backup-simplify]: Simplify (+ (* 0 4.0) (+ (* 1 8.0) (* 0 4.0))) into 8.0
28.027 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 8.0 4.0)))) into (- 0.5)
28.029 * [backup-simplify]: Simplify (+ (* 1.0 (- 0.5)) (* 0 0.25)) into (- 0.5)
28.030 * [backup-simplify]: Simplify (+ 0.375 (- 0.5)) into (- 0.125)
28.031 * [backup-simplify]: Simplify (- 0.125) into (- 0.125)
28.033 * [backup-simplify]: Simplify (+ (* (- 0.125) (pow (* 1 (* 1 alpha)) 3)) (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (* 0.25 (pow (* 1 (* 1 alpha)) 2)))) into (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
28.034 * [backup-simplify]: Simplify (* (/ (/ (+ (/ 1 alpha) (/ 1 beta)) 1) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)))) into (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))
28.035 * [approximate]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in (alpha beta i) around 0
28.035 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
28.035 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in i
28.035 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
28.035 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
28.035 * [taylor]: Taking taylor expansion of alpha in i
28.035 * [backup-simplify]: Simplify alpha into alpha
28.035 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.035 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
28.035 * [taylor]: Taking taylor expansion of beta in i
28.035 * [backup-simplify]: Simplify beta into beta
28.035 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.035 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
28.035 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
28.035 * [taylor]: Taking taylor expansion of beta in i
28.035 * [backup-simplify]: Simplify beta into beta
28.035 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.035 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
28.035 * [taylor]: Taking taylor expansion of alpha in i
28.035 * [backup-simplify]: Simplify alpha into alpha
28.035 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.035 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
28.035 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
28.035 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
28.036 * [taylor]: Taking taylor expansion of alpha in i
28.036 * [backup-simplify]: Simplify alpha into alpha
28.036 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.036 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
28.036 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
28.036 * [taylor]: Taking taylor expansion of 2.0 in i
28.036 * [backup-simplify]: Simplify 2.0 into 2.0
28.036 * [taylor]: Taking taylor expansion of (/ 1 i) in i
28.036 * [taylor]: Taking taylor expansion of i in i
28.036 * [backup-simplify]: Simplify 0 into 0
28.036 * [backup-simplify]: Simplify 1 into 1
28.036 * [backup-simplify]: Simplify (/ 1 1) into 1
28.036 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
28.036 * [taylor]: Taking taylor expansion of beta in i
28.036 * [backup-simplify]: Simplify beta into beta
28.037 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.037 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
28.037 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
28.037 * [taylor]: Taking taylor expansion of alpha in i
28.037 * [backup-simplify]: Simplify alpha into alpha
28.037 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.037 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
28.037 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
28.037 * [taylor]: Taking taylor expansion of 2.0 in i
28.037 * [backup-simplify]: Simplify 2.0 into 2.0
28.037 * [taylor]: Taking taylor expansion of (/ 1 i) in i
28.037 * [taylor]: Taking taylor expansion of i in i
28.037 * [backup-simplify]: Simplify 0 into 0
28.037 * [backup-simplify]: Simplify 1 into 1
28.037 * [backup-simplify]: Simplify (/ 1 1) into 1
28.037 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
28.037 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
28.037 * [taylor]: Taking taylor expansion of beta in i
28.037 * [backup-simplify]: Simplify beta into beta
28.037 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.038 * [taylor]: Taking taylor expansion of 2.0 in i
28.038 * [backup-simplify]: Simplify 2.0 into 2.0
28.038 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
28.038 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
28.038 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
28.038 * [backup-simplify]: Simplify (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) into (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha)))
28.039 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
28.039 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
28.039 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
28.040 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
28.040 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
28.041 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
28.041 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
28.041 * [backup-simplify]: Simplify (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) 4.0) into (* 0.25 (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))))
28.042 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
28.042 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in beta
28.042 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
28.042 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
28.042 * [taylor]: Taking taylor expansion of alpha in beta
28.042 * [backup-simplify]: Simplify alpha into alpha
28.042 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.042 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.042 * [taylor]: Taking taylor expansion of beta in beta
28.042 * [backup-simplify]: Simplify 0 into 0
28.042 * [backup-simplify]: Simplify 1 into 1
28.042 * [backup-simplify]: Simplify (/ 1 1) into 1
28.042 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
28.042 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.042 * [taylor]: Taking taylor expansion of beta in beta
28.042 * [backup-simplify]: Simplify 0 into 0
28.042 * [backup-simplify]: Simplify 1 into 1
28.043 * [backup-simplify]: Simplify (/ 1 1) into 1
28.043 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
28.043 * [taylor]: Taking taylor expansion of alpha in beta
28.043 * [backup-simplify]: Simplify alpha into alpha
28.043 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.043 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
28.043 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
28.043 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
28.043 * [taylor]: Taking taylor expansion of alpha in beta
28.043 * [backup-simplify]: Simplify alpha into alpha
28.043 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.043 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
28.043 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
28.043 * [taylor]: Taking taylor expansion of 2.0 in beta
28.043 * [backup-simplify]: Simplify 2.0 into 2.0
28.043 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
28.043 * [taylor]: Taking taylor expansion of i in beta
28.043 * [backup-simplify]: Simplify i into i
28.043 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.043 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.043 * [taylor]: Taking taylor expansion of beta in beta
28.043 * [backup-simplify]: Simplify 0 into 0
28.044 * [backup-simplify]: Simplify 1 into 1
28.044 * [backup-simplify]: Simplify (/ 1 1) into 1
28.044 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
28.044 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
28.044 * [taylor]: Taking taylor expansion of alpha in beta
28.044 * [backup-simplify]: Simplify alpha into alpha
28.044 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.044 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
28.044 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
28.044 * [taylor]: Taking taylor expansion of 2.0 in beta
28.044 * [backup-simplify]: Simplify 2.0 into 2.0
28.044 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
28.044 * [taylor]: Taking taylor expansion of i in beta
28.044 * [backup-simplify]: Simplify i into i
28.044 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.044 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
28.044 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.044 * [taylor]: Taking taylor expansion of beta in beta
28.044 * [backup-simplify]: Simplify 0 into 0
28.044 * [backup-simplify]: Simplify 1 into 1
28.045 * [backup-simplify]: Simplify (/ 1 1) into 1
28.045 * [taylor]: Taking taylor expansion of 2.0 in beta
28.045 * [backup-simplify]: Simplify 2.0 into 2.0
28.045 * [backup-simplify]: Simplify (+ 0 1) into 1
28.046 * [backup-simplify]: Simplify (+ 1 0) into 1
28.046 * [backup-simplify]: Simplify (* 1 1) into 1
28.047 * [backup-simplify]: Simplify (+ 0 1) into 1
28.047 * [backup-simplify]: Simplify (+ 0 1) into 1
28.047 * [backup-simplify]: Simplify (+ 1 0) into 1
28.048 * [backup-simplify]: Simplify (+ 0 1) into 1
28.048 * [backup-simplify]: Simplify (+ 0 1) into 1
28.048 * [backup-simplify]: Simplify (* 1 1) into 1
28.049 * [backup-simplify]: Simplify (/ 1 1) into 1
28.049 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
28.049 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
28.049 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
28.049 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.049 * [taylor]: Taking taylor expansion of alpha in alpha
28.049 * [backup-simplify]: Simplify 0 into 0
28.049 * [backup-simplify]: Simplify 1 into 1
28.049 * [backup-simplify]: Simplify (/ 1 1) into 1
28.049 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.049 * [taylor]: Taking taylor expansion of beta in alpha
28.049 * [backup-simplify]: Simplify beta into beta
28.050 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.050 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
28.050 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.050 * [taylor]: Taking taylor expansion of beta in alpha
28.050 * [backup-simplify]: Simplify beta into beta
28.050 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.050 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.050 * [taylor]: Taking taylor expansion of alpha in alpha
28.050 * [backup-simplify]: Simplify 0 into 0
28.050 * [backup-simplify]: Simplify 1 into 1
28.050 * [backup-simplify]: Simplify (/ 1 1) into 1
28.050 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
28.050 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
28.050 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.050 * [taylor]: Taking taylor expansion of alpha in alpha
28.050 * [backup-simplify]: Simplify 0 into 0
28.050 * [backup-simplify]: Simplify 1 into 1
28.051 * [backup-simplify]: Simplify (/ 1 1) into 1
28.051 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
28.051 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
28.051 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.051 * [backup-simplify]: Simplify 2.0 into 2.0
28.051 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
28.051 * [taylor]: Taking taylor expansion of i in alpha
28.051 * [backup-simplify]: Simplify i into i
28.051 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.051 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.051 * [taylor]: Taking taylor expansion of beta in alpha
28.051 * [backup-simplify]: Simplify beta into beta
28.051 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.051 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
28.051 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.051 * [taylor]: Taking taylor expansion of alpha in alpha
28.051 * [backup-simplify]: Simplify 0 into 0
28.051 * [backup-simplify]: Simplify 1 into 1
28.052 * [backup-simplify]: Simplify (/ 1 1) into 1
28.052 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
28.052 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
28.052 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.052 * [backup-simplify]: Simplify 2.0 into 2.0
28.052 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
28.052 * [taylor]: Taking taylor expansion of i in alpha
28.052 * [backup-simplify]: Simplify i into i
28.052 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.052 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
28.052 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.052 * [taylor]: Taking taylor expansion of beta in alpha
28.052 * [backup-simplify]: Simplify beta into beta
28.052 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.052 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.052 * [backup-simplify]: Simplify 2.0 into 2.0
28.053 * [backup-simplify]: Simplify (+ 1 0) into 1
28.053 * [backup-simplify]: Simplify (- 1) into -1
28.054 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.054 * [backup-simplify]: Simplify (* 1 -1) into -1
28.054 * [backup-simplify]: Simplify (+ 1 0) into 1
28.055 * [backup-simplify]: Simplify (+ 1 0) into 1
28.055 * [backup-simplify]: Simplify (* 1 1) into 1
28.056 * [backup-simplify]: Simplify (/ -1 1) into -1
28.056 * [taylor]: Taking taylor expansion of (/ (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
28.056 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (/ 1 beta)) (- (/ 1 beta) (/ 1 alpha))) in alpha
28.056 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
28.056 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.056 * [taylor]: Taking taylor expansion of alpha in alpha
28.056 * [backup-simplify]: Simplify 0 into 0
28.056 * [backup-simplify]: Simplify 1 into 1
28.056 * [backup-simplify]: Simplify (/ 1 1) into 1
28.056 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.056 * [taylor]: Taking taylor expansion of beta in alpha
28.056 * [backup-simplify]: Simplify beta into beta
28.056 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.056 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
28.056 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.056 * [taylor]: Taking taylor expansion of beta in alpha
28.056 * [backup-simplify]: Simplify beta into beta
28.056 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.057 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.057 * [taylor]: Taking taylor expansion of alpha in alpha
28.057 * [backup-simplify]: Simplify 0 into 0
28.057 * [backup-simplify]: Simplify 1 into 1
28.057 * [backup-simplify]: Simplify (/ 1 1) into 1
28.057 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
28.057 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
28.057 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.057 * [taylor]: Taking taylor expansion of alpha in alpha
28.057 * [backup-simplify]: Simplify 0 into 0
28.057 * [backup-simplify]: Simplify 1 into 1
28.057 * [backup-simplify]: Simplify (/ 1 1) into 1
28.057 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
28.058 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
28.058 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.058 * [backup-simplify]: Simplify 2.0 into 2.0
28.058 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
28.058 * [taylor]: Taking taylor expansion of i in alpha
28.058 * [backup-simplify]: Simplify i into i
28.058 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.058 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.058 * [taylor]: Taking taylor expansion of beta in alpha
28.058 * [backup-simplify]: Simplify beta into beta
28.058 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.058 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
28.058 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.058 * [taylor]: Taking taylor expansion of alpha in alpha
28.058 * [backup-simplify]: Simplify 0 into 0
28.058 * [backup-simplify]: Simplify 1 into 1
28.058 * [backup-simplify]: Simplify (/ 1 1) into 1
28.058 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
28.059 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
28.059 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.059 * [backup-simplify]: Simplify 2.0 into 2.0
28.059 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
28.059 * [taylor]: Taking taylor expansion of i in alpha
28.059 * [backup-simplify]: Simplify i into i
28.059 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.059 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
28.059 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.059 * [taylor]: Taking taylor expansion of beta in alpha
28.059 * [backup-simplify]: Simplify beta into beta
28.059 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.059 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.059 * [backup-simplify]: Simplify 2.0 into 2.0
28.059 * [backup-simplify]: Simplify (+ 1 0) into 1
28.060 * [backup-simplify]: Simplify (- 1) into -1
28.060 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.061 * [backup-simplify]: Simplify (* 1 -1) into -1
28.061 * [backup-simplify]: Simplify (+ 1 0) into 1
28.061 * [backup-simplify]: Simplify (+ 1 0) into 1
28.062 * [backup-simplify]: Simplify (* 1 1) into 1
28.062 * [backup-simplify]: Simplify (/ -1 1) into -1
28.062 * [taylor]: Taking taylor expansion of -1 in beta
28.062 * [backup-simplify]: Simplify -1 into -1
28.062 * [taylor]: Taking taylor expansion of -1 in i
28.062 * [backup-simplify]: Simplify -1 into -1
28.063 * [backup-simplify]: Simplify 0 into 0
28.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.064 * [backup-simplify]: Simplify (- 0) into 0
28.064 * [backup-simplify]: Simplify (+ (/ 1 beta) 0) into (/ 1 beta)
28.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.065 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
28.065 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (/ 1 beta) -1)) into 0
28.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.066 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
28.066 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
28.066 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
28.066 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
28.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.067 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
28.067 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
28.068 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
28.068 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
28.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
28.069 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
28.069 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
28.069 * [taylor]: Taking taylor expansion of 4.0 in beta
28.069 * [backup-simplify]: Simplify 4.0 into 4.0
28.069 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
28.069 * [taylor]: Taking taylor expansion of i in beta
28.069 * [backup-simplify]: Simplify i into i
28.069 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.069 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
28.069 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
28.069 * [taylor]: Taking taylor expansion of 2 in beta
28.069 * [backup-simplify]: Simplify 2 into 2
28.069 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.069 * [taylor]: Taking taylor expansion of beta in beta
28.069 * [backup-simplify]: Simplify 0 into 0
28.069 * [backup-simplify]: Simplify 1 into 1
28.070 * [backup-simplify]: Simplify (/ 1 1) into 1
28.070 * [taylor]: Taking taylor expansion of 2.0 in beta
28.070 * [backup-simplify]: Simplify 2.0 into 2.0
28.070 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
28.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.071 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
28.072 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
28.072 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
28.072 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
28.072 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
28.072 * [taylor]: Taking taylor expansion of 4.0 in i
28.072 * [backup-simplify]: Simplify 4.0 into 4.0
28.072 * [taylor]: Taking taylor expansion of (/ 1 i) in i
28.072 * [taylor]: Taking taylor expansion of i in i
28.072 * [backup-simplify]: Simplify 0 into 0
28.072 * [backup-simplify]: Simplify 1 into 1
28.073 * [backup-simplify]: Simplify (/ 1 1) into 1
28.073 * [taylor]: Taking taylor expansion of 2.0 in i
28.073 * [backup-simplify]: Simplify 2.0 into 2.0
28.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.074 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.076 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.077 * [backup-simplify]: Simplify (+ 0 0) into 0
28.077 * [backup-simplify]: Simplify 0 into 0
28.077 * [taylor]: Taking taylor expansion of 0 in i
28.077 * [backup-simplify]: Simplify 0 into 0
28.077 * [backup-simplify]: Simplify 0 into 0
28.077 * [backup-simplify]: Simplify 0 into 0
28.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
28.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.078 * [backup-simplify]: Simplify (- 0) into 0
28.078 * [backup-simplify]: Simplify (+ 0 0) into 0
28.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.079 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
28.080 * [backup-simplify]: Simplify (+ 0 0) into 0
28.081 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 beta) (/ 1 beta)) (* 0 -1))) into (/ 1 (pow beta 2))
28.082 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
28.082 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
28.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
28.083 * [backup-simplify]: Simplify (+ 0 0) into 0
28.083 * [backup-simplify]: Simplify (+ 0 0) into 0
28.084 * [backup-simplify]: Simplify (+ 0 0) into 0
28.084 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.084 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
28.085 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
28.085 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
28.085 * [backup-simplify]: Simplify (+ 0 0) into 0
28.086 * [backup-simplify]: Simplify (+ 0 0) into 0
28.087 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
28.089 * [backup-simplify]: Simplify (- (/ (/ 1 (pow beta 2)) 1) (+ (* -1 (/ (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
28.090 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) in beta
28.090 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) in beta
28.090 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
28.090 * [taylor]: Taking taylor expansion of 2 in beta
28.090 * [backup-simplify]: Simplify 2 into 2
28.090 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
28.090 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
28.090 * [taylor]: Taking taylor expansion of beta in beta
28.090 * [backup-simplify]: Simplify 0 into 0
28.090 * [backup-simplify]: Simplify 1 into 1
28.091 * [backup-simplify]: Simplify (* 1 1) into 1
28.091 * [backup-simplify]: Simplify (/ 1 1) into 1
28.091 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))) in beta
28.091 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
28.091 * [taylor]: Taking taylor expansion of 12.0 in beta
28.091 * [backup-simplify]: Simplify 12.0 into 12.0
28.091 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
28.091 * [taylor]: Taking taylor expansion of (* i beta) in beta
28.091 * [taylor]: Taking taylor expansion of i in beta
28.092 * [backup-simplify]: Simplify i into i
28.092 * [taylor]: Taking taylor expansion of beta in beta
28.092 * [backup-simplify]: Simplify 0 into 0
28.092 * [backup-simplify]: Simplify 1 into 1
28.092 * [backup-simplify]: Simplify (* i 0) into 0
28.092 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
28.092 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.092 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))) in beta
28.092 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
28.092 * [taylor]: Taking taylor expansion of 12.0 in beta
28.092 * [backup-simplify]: Simplify 12.0 into 12.0
28.092 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
28.092 * [taylor]: Taking taylor expansion of (pow i 2) in beta
28.092 * [taylor]: Taking taylor expansion of i in beta
28.092 * [backup-simplify]: Simplify i into i
28.092 * [backup-simplify]: Simplify (* i i) into (pow i 2)
28.093 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
28.093 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)) in beta
28.093 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
28.093 * [taylor]: Taking taylor expansion of 12.0 in beta
28.093 * [backup-simplify]: Simplify 12.0 into 12.0
28.093 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
28.093 * [taylor]: Taking taylor expansion of i in beta
28.093 * [backup-simplify]: Simplify i into i
28.093 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.093 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) 4.0) in beta
28.093 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
28.093 * [taylor]: Taking taylor expansion of 6.0 in beta
28.093 * [backup-simplify]: Simplify 6.0 into 6.0
28.093 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.093 * [taylor]: Taking taylor expansion of beta in beta
28.093 * [backup-simplify]: Simplify 0 into 0
28.093 * [backup-simplify]: Simplify 1 into 1
28.094 * [backup-simplify]: Simplify (/ 1 1) into 1
28.094 * [taylor]: Taking taylor expansion of 4.0 in beta
28.094 * [backup-simplify]: Simplify 4.0 into 4.0
28.095 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.096 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.097 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.098 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
28.111 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
28.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
28.111 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
28.112 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
28.112 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
28.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.113 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
28.113 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
28.114 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
28.114 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
28.122 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
28.123 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
28.123 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
28.123 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
28.123 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
28.124 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
28.124 * [taylor]: Taking taylor expansion of 12.0 in i
28.124 * [backup-simplify]: Simplify 12.0 into 12.0
28.124 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
28.124 * [taylor]: Taking taylor expansion of (pow i 2) in i
28.124 * [taylor]: Taking taylor expansion of i in i
28.124 * [backup-simplify]: Simplify 0 into 0
28.124 * [backup-simplify]: Simplify 1 into 1
28.124 * [backup-simplify]: Simplify (* 1 1) into 1
28.125 * [backup-simplify]: Simplify (/ 1 1) into 1
28.125 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
28.125 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
28.125 * [taylor]: Taking taylor expansion of 12.0 in i
28.125 * [backup-simplify]: Simplify 12.0 into 12.0
28.125 * [taylor]: Taking taylor expansion of (/ 1 i) in i
28.125 * [taylor]: Taking taylor expansion of i in i
28.125 * [backup-simplify]: Simplify 0 into 0
28.125 * [backup-simplify]: Simplify 1 into 1
28.125 * [backup-simplify]: Simplify (/ 1 1) into 1
28.125 * [taylor]: Taking taylor expansion of 4.0 in i
28.125 * [backup-simplify]: Simplify 4.0 into 4.0
28.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.138 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.159 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.169 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.170 * [backup-simplify]: Simplify (+ 0 0) into 0
28.170 * [backup-simplify]: Simplify (+ 0 0) into 0
28.171 * [backup-simplify]: Simplify (- 0) into 0
28.171 * [backup-simplify]: Simplify 0 into 0
28.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
28.171 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
28.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.173 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
28.174 * [backup-simplify]: Simplify (+ 0 0) into 0
28.174 * [backup-simplify]: Simplify (+ 0 0) into 0
28.174 * [taylor]: Taking taylor expansion of 0 in i
28.174 * [backup-simplify]: Simplify 0 into 0
28.174 * [backup-simplify]: Simplify 0 into 0
28.174 * [backup-simplify]: Simplify 0 into 0
28.188 * [backup-simplify]: Simplify (* (/ (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) 1) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)))) into (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
28.188 * [approximate]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (alpha beta i) around 0
28.188 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
28.188 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in i
28.188 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
28.188 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
28.188 * [taylor]: Taking taylor expansion of alpha in i
28.188 * [backup-simplify]: Simplify alpha into alpha
28.188 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.188 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
28.188 * [taylor]: Taking taylor expansion of beta in i
28.188 * [backup-simplify]: Simplify beta into beta
28.188 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.189 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in i
28.189 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
28.189 * [taylor]: Taking taylor expansion of alpha in i
28.189 * [backup-simplify]: Simplify alpha into alpha
28.189 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.189 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
28.189 * [taylor]: Taking taylor expansion of beta in i
28.189 * [backup-simplify]: Simplify beta into beta
28.189 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.189 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
28.189 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
28.189 * [taylor]: Taking taylor expansion of 2.0 in i
28.189 * [backup-simplify]: Simplify 2.0 into 2.0
28.189 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
28.189 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
28.189 * [taylor]: Taking taylor expansion of alpha in i
28.189 * [backup-simplify]: Simplify alpha into alpha
28.189 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.189 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
28.189 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
28.189 * [taylor]: Taking taylor expansion of 2.0 in i
28.189 * [backup-simplify]: Simplify 2.0 into 2.0
28.189 * [taylor]: Taking taylor expansion of (/ 1 i) in i
28.189 * [taylor]: Taking taylor expansion of i in i
28.189 * [backup-simplify]: Simplify 0 into 0
28.189 * [backup-simplify]: Simplify 1 into 1
28.190 * [backup-simplify]: Simplify (/ 1 1) into 1
28.190 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
28.190 * [taylor]: Taking taylor expansion of beta in i
28.190 * [backup-simplify]: Simplify beta into beta
28.190 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.190 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
28.199 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
28.199 * [taylor]: Taking taylor expansion of alpha in i
28.199 * [backup-simplify]: Simplify alpha into alpha
28.199 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.199 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
28.199 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
28.199 * [taylor]: Taking taylor expansion of 2.0 in i
28.199 * [backup-simplify]: Simplify 2.0 into 2.0
28.199 * [taylor]: Taking taylor expansion of (/ 1 i) in i
28.199 * [taylor]: Taking taylor expansion of i in i
28.199 * [backup-simplify]: Simplify 0 into 0
28.199 * [backup-simplify]: Simplify 1 into 1
28.200 * [backup-simplify]: Simplify (/ 1 1) into 1
28.200 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
28.200 * [taylor]: Taking taylor expansion of beta in i
28.200 * [backup-simplify]: Simplify beta into beta
28.200 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.200 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
28.200 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
28.200 * [backup-simplify]: Simplify (+ (/ 1 alpha) (/ 1 beta)) into (+ (/ 1 alpha) (/ 1 beta))
28.200 * [backup-simplify]: Simplify (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) into (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta)))
28.201 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
28.201 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
28.202 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
28.202 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
28.207 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
28.208 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
28.208 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
28.208 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
28.209 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
28.209 * [backup-simplify]: Simplify (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) -4.0) into (* -0.25 (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))))
28.210 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
28.210 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in beta
28.210 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
28.210 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
28.210 * [taylor]: Taking taylor expansion of alpha in beta
28.210 * [backup-simplify]: Simplify alpha into alpha
28.210 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.210 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.210 * [taylor]: Taking taylor expansion of beta in beta
28.210 * [backup-simplify]: Simplify 0 into 0
28.210 * [backup-simplify]: Simplify 1 into 1
28.210 * [backup-simplify]: Simplify (/ 1 1) into 1
28.210 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in beta
28.214 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
28.214 * [taylor]: Taking taylor expansion of alpha in beta
28.214 * [backup-simplify]: Simplify alpha into alpha
28.215 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.215 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.215 * [taylor]: Taking taylor expansion of beta in beta
28.215 * [backup-simplify]: Simplify 0 into 0
28.215 * [backup-simplify]: Simplify 1 into 1
28.215 * [backup-simplify]: Simplify (/ 1 1) into 1
28.215 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
28.215 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
28.215 * [taylor]: Taking taylor expansion of 2.0 in beta
28.215 * [backup-simplify]: Simplify 2.0 into 2.0
28.215 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
28.215 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
28.215 * [taylor]: Taking taylor expansion of alpha in beta
28.216 * [backup-simplify]: Simplify alpha into alpha
28.216 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.216 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
28.216 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
28.216 * [taylor]: Taking taylor expansion of 2.0 in beta
28.216 * [backup-simplify]: Simplify 2.0 into 2.0
28.216 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
28.216 * [taylor]: Taking taylor expansion of i in beta
28.216 * [backup-simplify]: Simplify i into i
28.216 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.216 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.216 * [taylor]: Taking taylor expansion of beta in beta
28.216 * [backup-simplify]: Simplify 0 into 0
28.216 * [backup-simplify]: Simplify 1 into 1
28.216 * [backup-simplify]: Simplify (/ 1 1) into 1
28.216 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
28.216 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
28.216 * [taylor]: Taking taylor expansion of alpha in beta
28.216 * [backup-simplify]: Simplify alpha into alpha
28.217 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
28.217 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
28.217 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
28.217 * [taylor]: Taking taylor expansion of 2.0 in beta
28.217 * [backup-simplify]: Simplify 2.0 into 2.0
28.217 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
28.217 * [taylor]: Taking taylor expansion of i in beta
28.217 * [backup-simplify]: Simplify i into i
28.217 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.217 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.217 * [taylor]: Taking taylor expansion of beta in beta
28.217 * [backup-simplify]: Simplify 0 into 0
28.217 * [backup-simplify]: Simplify 1 into 1
28.308 * [backup-simplify]: Simplify (/ 1 1) into 1
28.315 * [backup-simplify]: Simplify (- 1) into -1
28.316 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.316 * [backup-simplify]: Simplify (+ 0 1) into 1
28.317 * [backup-simplify]: Simplify (* -1 1) into -1
28.317 * [backup-simplify]: Simplify (+ 0 1) into 1
28.318 * [backup-simplify]: Simplify (+ 0 1) into 1
28.329 * [backup-simplify]: Simplify (- 1) into -1
28.330 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.331 * [backup-simplify]: Simplify (+ 0 1) into 1
28.331 * [backup-simplify]: Simplify (+ 0 1) into 1
28.332 * [backup-simplify]: Simplify (* -1 1) into -1
28.332 * [backup-simplify]: Simplify (/ -1 -1) into 1
28.332 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
28.339 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
28.339 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
28.339 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.339 * [taylor]: Taking taylor expansion of alpha in alpha
28.339 * [backup-simplify]: Simplify 0 into 0
28.339 * [backup-simplify]: Simplify 1 into 1
28.339 * [backup-simplify]: Simplify (/ 1 1) into 1
28.339 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.340 * [taylor]: Taking taylor expansion of beta in alpha
28.340 * [backup-simplify]: Simplify beta into beta
28.340 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.340 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
28.340 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.340 * [taylor]: Taking taylor expansion of alpha in alpha
28.340 * [backup-simplify]: Simplify 0 into 0
28.340 * [backup-simplify]: Simplify 1 into 1
28.341 * [backup-simplify]: Simplify (/ 1 1) into 1
28.341 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.341 * [taylor]: Taking taylor expansion of beta in alpha
28.341 * [backup-simplify]: Simplify beta into beta
28.341 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.341 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
28.341 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
28.341 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.341 * [backup-simplify]: Simplify 2.0 into 2.0
28.341 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
28.341 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.341 * [taylor]: Taking taylor expansion of alpha in alpha
28.341 * [backup-simplify]: Simplify 0 into 0
28.341 * [backup-simplify]: Simplify 1 into 1
28.342 * [backup-simplify]: Simplify (/ 1 1) into 1
28.342 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
28.342 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
28.342 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.342 * [backup-simplify]: Simplify 2.0 into 2.0
28.342 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
28.342 * [taylor]: Taking taylor expansion of i in alpha
28.342 * [backup-simplify]: Simplify i into i
28.342 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.342 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.342 * [taylor]: Taking taylor expansion of beta in alpha
28.342 * [backup-simplify]: Simplify beta into beta
28.342 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.342 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
28.342 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.342 * [taylor]: Taking taylor expansion of alpha in alpha
28.342 * [backup-simplify]: Simplify 0 into 0
28.342 * [backup-simplify]: Simplify 1 into 1
28.343 * [backup-simplify]: Simplify (/ 1 1) into 1
28.343 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
28.343 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
28.343 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.343 * [backup-simplify]: Simplify 2.0 into 2.0
28.343 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
28.343 * [taylor]: Taking taylor expansion of i in alpha
28.343 * [backup-simplify]: Simplify i into i
28.343 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.343 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.343 * [taylor]: Taking taylor expansion of beta in alpha
28.343 * [backup-simplify]: Simplify beta into beta
28.343 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.343 * [backup-simplify]: Simplify (+ 1 0) into 1
28.344 * [backup-simplify]: Simplify (+ 1 0) into 1
28.344 * [backup-simplify]: Simplify (* 1 1) into 1
28.345 * [backup-simplify]: Simplify (+ 1 0) into 1
28.345 * [backup-simplify]: Simplify (- 1) into -1
28.345 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.346 * [backup-simplify]: Simplify (+ 1 0) into 1
28.349 * [backup-simplify]: Simplify (* -1 1) into -1
28.350 * [backup-simplify]: Simplify (/ 1 -1) into -1
28.350 * [taylor]: Taking taylor expansion of (/ (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
28.350 * [taylor]: Taking taylor expansion of (* (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (/ 1 beta))) in alpha
28.350 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
28.350 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.350 * [taylor]: Taking taylor expansion of alpha in alpha
28.350 * [backup-simplify]: Simplify 0 into 0
28.350 * [backup-simplify]: Simplify 1 into 1
28.350 * [backup-simplify]: Simplify (/ 1 1) into 1
28.350 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.350 * [taylor]: Taking taylor expansion of beta in alpha
28.350 * [backup-simplify]: Simplify beta into beta
28.350 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.350 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (/ 1 beta)) in alpha
28.350 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.350 * [taylor]: Taking taylor expansion of alpha in alpha
28.350 * [backup-simplify]: Simplify 0 into 0
28.350 * [backup-simplify]: Simplify 1 into 1
28.351 * [backup-simplify]: Simplify (/ 1 1) into 1
28.351 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.351 * [taylor]: Taking taylor expansion of beta in alpha
28.351 * [backup-simplify]: Simplify beta into beta
28.351 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.351 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
28.351 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
28.351 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.351 * [backup-simplify]: Simplify 2.0 into 2.0
28.351 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
28.351 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.351 * [taylor]: Taking taylor expansion of alpha in alpha
28.351 * [backup-simplify]: Simplify 0 into 0
28.351 * [backup-simplify]: Simplify 1 into 1
28.352 * [backup-simplify]: Simplify (/ 1 1) into 1
28.352 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
28.352 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
28.352 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.352 * [backup-simplify]: Simplify 2.0 into 2.0
28.352 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
28.352 * [taylor]: Taking taylor expansion of i in alpha
28.352 * [backup-simplify]: Simplify i into i
28.352 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.352 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.352 * [taylor]: Taking taylor expansion of beta in alpha
28.352 * [backup-simplify]: Simplify beta into beta
28.352 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.352 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
28.352 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
28.352 * [taylor]: Taking taylor expansion of alpha in alpha
28.352 * [backup-simplify]: Simplify 0 into 0
28.352 * [backup-simplify]: Simplify 1 into 1
28.353 * [backup-simplify]: Simplify (/ 1 1) into 1
28.353 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
28.353 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
28.353 * [taylor]: Taking taylor expansion of 2.0 in alpha
28.353 * [backup-simplify]: Simplify 2.0 into 2.0
28.353 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
28.353 * [taylor]: Taking taylor expansion of i in alpha
28.353 * [backup-simplify]: Simplify i into i
28.353 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.353 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
28.353 * [taylor]: Taking taylor expansion of beta in alpha
28.353 * [backup-simplify]: Simplify beta into beta
28.353 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
28.354 * [backup-simplify]: Simplify (+ 1 0) into 1
28.354 * [backup-simplify]: Simplify (+ 1 0) into 1
28.355 * [backup-simplify]: Simplify (* 1 1) into 1
28.356 * [backup-simplify]: Simplify (+ 1 0) into 1
28.356 * [backup-simplify]: Simplify (- 1) into -1
28.356 * [backup-simplify]: Simplify (+ 0 -1) into -1
28.357 * [backup-simplify]: Simplify (+ 1 0) into 1
28.357 * [backup-simplify]: Simplify (* -1 1) into -1
28.358 * [backup-simplify]: Simplify (/ 1 -1) into -1
28.358 * [taylor]: Taking taylor expansion of -1 in beta
28.358 * [backup-simplify]: Simplify -1 into -1
28.358 * [taylor]: Taking taylor expansion of -1 in i
28.358 * [backup-simplify]: Simplify -1 into -1
28.358 * [backup-simplify]: Simplify 0 into 0
28.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.359 * [backup-simplify]: Simplify (+ 0 (/ 1 beta)) into (/ 1 beta)
28.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.360 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
28.360 * [backup-simplify]: Simplify (+ 0 (- (/ 1 beta))) into (- (/ 1 beta))
28.360 * [backup-simplify]: Simplify (+ (* 1 (/ 1 beta)) (* (- (/ 1 beta)) 1)) into 0
28.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.361 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
28.361 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
28.361 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
28.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.363 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
28.363 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
28.363 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
28.364 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
28.364 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
28.364 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
28.366 * [backup-simplify]: Simplify (- (/ 0 -1) (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
28.366 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
28.366 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
28.366 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
28.366 * [taylor]: Taking taylor expansion of 4.0 in beta
28.366 * [backup-simplify]: Simplify 4.0 into 4.0
28.366 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
28.366 * [taylor]: Taking taylor expansion of i in beta
28.366 * [backup-simplify]: Simplify i into i
28.366 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.366 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
28.366 * [taylor]: Taking taylor expansion of 2 in beta
28.366 * [backup-simplify]: Simplify 2 into 2
28.366 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.367 * [taylor]: Taking taylor expansion of beta in beta
28.367 * [backup-simplify]: Simplify 0 into 0
28.367 * [backup-simplify]: Simplify 1 into 1
28.367 * [backup-simplify]: Simplify (/ 1 1) into 1
28.367 * [taylor]: Taking taylor expansion of 2.0 in beta
28.367 * [backup-simplify]: Simplify 2.0 into 2.0
28.367 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
28.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.369 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
28.369 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
28.370 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
28.370 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
28.370 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
28.370 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
28.370 * [taylor]: Taking taylor expansion of 4.0 in i
28.370 * [backup-simplify]: Simplify 4.0 into 4.0
28.370 * [taylor]: Taking taylor expansion of (/ 1 i) in i
28.370 * [taylor]: Taking taylor expansion of i in i
28.370 * [backup-simplify]: Simplify 0 into 0
28.370 * [backup-simplify]: Simplify 1 into 1
28.371 * [backup-simplify]: Simplify (/ 1 1) into 1
28.371 * [taylor]: Taking taylor expansion of 2.0 in i
28.371 * [backup-simplify]: Simplify 2.0 into 2.0
28.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.374 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.375 * [backup-simplify]: Simplify (- 0) into 0
28.375 * [backup-simplify]: Simplify (+ 0 0) into 0
28.375 * [backup-simplify]: Simplify 0 into 0
28.375 * [taylor]: Taking taylor expansion of 0 in i
28.375 * [backup-simplify]: Simplify 0 into 0
28.375 * [backup-simplify]: Simplify 0 into 0
28.375 * [backup-simplify]: Simplify 0 into 0
28.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
28.376 * [backup-simplify]: Simplify (+ 0 0) into 0
28.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
28.379 * [backup-simplify]: Simplify (- 0) into 0
28.380 * [backup-simplify]: Simplify (+ 0 0) into 0
28.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 beta)) (/ 1 beta)) (* 0 1))) into (- (/ 1 (pow beta 2)))
28.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
28.382 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
28.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
28.383 * [backup-simplify]: Simplify (+ 0 0) into 0
28.383 * [backup-simplify]: Simplify (+ 0 0) into 0
28.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
28.385 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
28.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
28.385 * [backup-simplify]: Simplify (+ 0 0) into 0
28.386 * [backup-simplify]: Simplify (+ 0 0) into 0
28.386 * [backup-simplify]: Simplify (- 0) into 0
28.386 * [backup-simplify]: Simplify (+ 0 0) into 0
28.388 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
28.391 * [backup-simplify]: Simplify (- (/ (- (/ 1 (pow beta 2))) -1) (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))
28.391 * [taylor]: Taking taylor expansion of (- (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
28.391 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (* 12.0 (/ 1 i))) in beta
28.391 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
28.391 * [taylor]: Taking taylor expansion of 6.0 in beta
28.391 * [backup-simplify]: Simplify 6.0 into 6.0
28.391 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
28.391 * [taylor]: Taking taylor expansion of beta in beta
28.391 * [backup-simplify]: Simplify 0 into 0
28.391 * [backup-simplify]: Simplify 1 into 1
28.392 * [backup-simplify]: Simplify (/ 1 1) into 1
28.392 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
28.392 * [taylor]: Taking taylor expansion of 12.0 in beta
28.392 * [backup-simplify]: Simplify 12.0 into 12.0
28.392 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
28.392 * [taylor]: Taking taylor expansion of i in beta
28.392 * [backup-simplify]: Simplify i into i
28.392 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.392 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
28.392 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
28.392 * [taylor]: Taking taylor expansion of 2 in beta
28.392 * [backup-simplify]: Simplify 2 into 2
28.392 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
28.392 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
28.392 * [taylor]: Taking taylor expansion of beta in beta
28.392 * [backup-simplify]: Simplify 0 into 0
28.392 * [backup-simplify]: Simplify 1 into 1
28.393 * [backup-simplify]: Simplify (* 1 1) into 1
28.393 * [backup-simplify]: Simplify (/ 1 1) into 1
28.393 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
28.393 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
28.393 * [taylor]: Taking taylor expansion of 12.0 in beta
28.393 * [backup-simplify]: Simplify 12.0 into 12.0
28.393 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
28.393 * [taylor]: Taking taylor expansion of (pow i 2) in beta
28.393 * [taylor]: Taking taylor expansion of i in beta
28.393 * [backup-simplify]: Simplify i into i
28.393 * [backup-simplify]: Simplify (* i i) into (pow i 2)
28.394 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
28.394 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
28.394 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
28.394 * [taylor]: Taking taylor expansion of 12.0 in beta
28.394 * [backup-simplify]: Simplify 12.0 into 12.0
28.394 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
28.394 * [taylor]: Taking taylor expansion of (* i beta) in beta
28.394 * [taylor]: Taking taylor expansion of i in beta
28.394 * [backup-simplify]: Simplify i into i
28.394 * [taylor]: Taking taylor expansion of beta in beta
28.394 * [backup-simplify]: Simplify 0 into 0
28.394 * [backup-simplify]: Simplify 1 into 1
28.394 * [backup-simplify]: Simplify (* i 0) into 0
28.395 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
28.395 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
28.395 * [taylor]: Taking taylor expansion of 4.0 in beta
28.395 * [backup-simplify]: Simplify 4.0 into 4.0
28.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.397 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
28.397 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
28.397 * [backup-simplify]: Simplify (+ 0 (/ 12.0 i)) into (* 12.0 (/ 1 i))
28.398 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.401 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
28.401 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
28.403 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
28.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
28.404 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
28.405 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
28.405 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
28.406 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
28.406 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
28.407 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
28.407 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
28.407 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
28.407 * [taylor]: Taking taylor expansion of 12.0 in i
28.407 * [backup-simplify]: Simplify 12.0 into 12.0
28.407 * [taylor]: Taking taylor expansion of (/ 1 i) in i
28.407 * [taylor]: Taking taylor expansion of i in i
28.407 * [backup-simplify]: Simplify 0 into 0
28.407 * [backup-simplify]: Simplify 1 into 1
28.414 * [backup-simplify]: Simplify (/ 1 1) into 1
28.414 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
28.414 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
28.414 * [taylor]: Taking taylor expansion of 12.0 in i
28.414 * [backup-simplify]: Simplify 12.0 into 12.0
28.414 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
28.414 * [taylor]: Taking taylor expansion of (pow i 2) in i
28.414 * [taylor]: Taking taylor expansion of i in i
28.414 * [backup-simplify]: Simplify 0 into 0
28.414 * [backup-simplify]: Simplify 1 into 1
28.415 * [backup-simplify]: Simplify (* 1 1) into 1
28.415 * [backup-simplify]: Simplify (/ 1 1) into 1
28.415 * [taylor]: Taking taylor expansion of 4.0 in i
28.415 * [backup-simplify]: Simplify 4.0 into 4.0
28.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.433 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
28.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
28.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
28.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
28.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.440 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
28.440 * [backup-simplify]: Simplify (+ 0 0) into 0
28.440 * [backup-simplify]: Simplify (- 0) into 0
28.441 * [backup-simplify]: Simplify (+ 0 0) into 0
28.441 * [backup-simplify]: Simplify 0 into 0
28.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
28.441 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
28.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
28.443 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
28.444 * [backup-simplify]: Simplify (+ 0 0) into 0
28.444 * [backup-simplify]: Simplify (- 0) into 0
28.444 * [backup-simplify]: Simplify (+ 0 0) into 0
28.444 * [taylor]: Taking taylor expansion of 0 in i
28.444 * [backup-simplify]: Simplify 0 into 0
28.444 * [backup-simplify]: Simplify 0 into 0
28.445 * [backup-simplify]: Simplify 0 into 0
28.471 * * * [progress]: simplifying candidates
29.401 * [simplify]: Simplifying:
  (* (exp (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (exp 1.0))
  (log (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (exp (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (* (cbrt (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)) (cbrt (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))
  (cbrt (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (* (* (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)) (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (sqrt (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (sqrt (+ (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (+ (pow (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 3) (pow 1.0 3))
  (+ (* (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (- (* 1.0 1.0) (* (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))
  (- (* (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (* 1.0 1.0))
  (- (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)
  (- (- (log (- beta alpha)) (log (+ (+ alpha beta) (* 2.0 i)))) (log (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (- (log (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (log (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (exp (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (* (* (- beta alpha) (- beta alpha)) (- beta alpha)) (* (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (+ (+ alpha beta) (* 2.0 i)))) (* (* (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (* (* (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (* (* (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (- (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (- (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ beta (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ alpha (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (sqrt (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
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  (* (/ (/ (+ alpha beta) (sqrt 1)) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (cbrt 1)) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (cbrt 1)) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (cbrt 1)) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (cbrt 1)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (cbrt 1)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (cbrt 1)) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (cbrt 1)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) (sqrt 1)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ 1 1) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ 1 1) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ 1 1) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ 1 1) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ 1 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (+ (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (- (* 2.0 2.0) (* (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (sqrt (- (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (+ alpha beta) 1) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (/ (+ alpha beta) 1) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 0.046875 (/ (pow beta 2) (sqrt 0.125))) (+ (* 0.0078125 (/ (pow beta 2) (pow (sqrt 0.5) 3))) (* 0.125 (/ alpha (sqrt 0.5))))) (+ (* 0.125 (/ beta (sqrt 0.5))) (* 0.0625 (/ (pow beta 2) (sqrt 0.5)))))
  0
  0
  (- (+ (* alpha (sqrt 0.5)) (* (sqrt 0.5) beta)) (* 1/2 (* (sqrt 0.125) (pow alpha 2))))
  (- (+ (* +nan.0 (/ beta (pow alpha 2))) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
  (- (+ (* +nan.0 (/ beta (pow alpha 2))) (- (+ (* +nan.0 (/ beta alpha)) (- +nan.0)))))
  (- (* 0.25 (pow alpha 2)) (+ (* 0.125 (pow alpha 3)) (* 0.25 (pow beta 2))))
  0
  0
29.839 * * [simplify]: iteration 0: 728 enodes
32.020 * * [simplify]: iteration 1: 2296 enodes
36.062 * * [simplify]: iteration complete: 5000 enodes
36.063 * * [simplify]: Extracting #0: cost 340 inf + 0
36.094 * * [simplify]: Extracting #1: cost 1544 inf + 2
36.159 * * [simplify]: Extracting #2: cost 2033 inf + 1328
36.213 * * [simplify]: Extracting #3: cost 1957 inf + 22980
36.324 * * [simplify]: Extracting #4: cost 1828 inf + 50310
36.682 * * [simplify]: Extracting #5: cost 1200 inf + 226776
36.977 * * [simplify]: Extracting #6: cost 341 inf + 581761
37.240 * * [simplify]: Extracting #7: cost 17 inf + 733568
37.614 * * [simplify]: Extracting #8: cost 0 inf + 739317
37.979 * * [simplify]: Extracting #9: cost 0 inf + 739117
38.871 * [simplify]: Simplified to:
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (log (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))
  (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (+ (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) (* (* 1.0 1.0) 1.0))
  (+ (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (* 1.0 (- 1.0 (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))))
  (- (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (* 1.0 1.0))
  (- (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)
  (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (exp (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (* (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (/ (* (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (* (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- (- beta alpha)) (+ (+ alpha beta) (* 2.0 i)))
  (- (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ beta (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ alpha (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (fabs (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (fabs (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (* (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (fabs (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (* (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
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  (/ (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
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  (/ (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (sqrt (+ alpha beta)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (/ (/ (sqrt (+ alpha beta)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (sqrt (+ alpha beta)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (sqrt (+ alpha beta)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (/ (/ (sqrt (+ alpha beta)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (* (sqrt (+ alpha beta)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (sqrt (+ alpha beta)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (+ (* 2.0 (- 2.0 (+ (+ alpha beta) (* 2.0 i)))) (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))))))
  (* (sqrt (- (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (* (+ alpha beta) (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (* (+ alpha beta) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (+ 1.0 (* 0.25 (- (* alpha alpha) (* beta beta))))
  (+ (/ 8.0 (* (* alpha alpha) alpha)) (- (/ 2.0 alpha) (/ 4.0 (* alpha alpha))))
  (+ (/ 8.0 (* (* alpha alpha) alpha)) (- (/ 2.0 alpha) (/ 4.0 (* alpha alpha))))
  (+ (+ (* (/ 0.0078125 0.5) (/ (* beta beta) (sqrt 0.5))) (/ (* 0.125 alpha) (sqrt 0.5))) (- (* 0.046875 (/ (* beta beta) (sqrt 0.125))) (+ (/ (* 0.125 beta) (sqrt 0.5)) (* (/ (* beta beta) (sqrt 0.5)) 0.0625))))
  0
  0
  (- (* (sqrt 0.5) (+ alpha beta)) (* (* 1/2 (sqrt 0.125)) (* alpha alpha)))
  (+ (* (- +nan.0) (/ beta (* alpha alpha))) (- (* +nan.0 (/ beta alpha)) +nan.0))
  (+ (* (- +nan.0) (/ beta (* alpha alpha))) (- (* +nan.0 (/ beta alpha)) +nan.0))
  (- (* 0.25 (- (* alpha alpha) (* beta beta))) (* 0.125 (* (* alpha alpha) alpha)))
  0
  0
39.740 * * * [progress]: adding candidates to table
49.187 * * [progress]: iteration 3 / 4
49.187 * * * [progress]: picking best candidate
49.296 * * * * [pick]: Picked  #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))) 2.0))>
49.296 * * * [progress]: localizing error
49.493 * * * [progress]: generating rewritten candidates
49.493 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
49.859 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1)
50.366 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
50.747 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 2)
51.419 * * * [progress]: generating series expansions
51.419 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
51.420 * [backup-simplify]: Simplify (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
51.421 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
51.421 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
51.421 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
51.421 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
51.421 * [taylor]: Taking taylor expansion of (pow beta 2) in i
51.421 * [taylor]: Taking taylor expansion of beta in i
51.421 * [backup-simplify]: Simplify beta into beta
51.421 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
51.421 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
51.421 * [taylor]: Taking taylor expansion of alpha in i
51.421 * [backup-simplify]: Simplify alpha into alpha
51.421 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
51.421 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
51.421 * [taylor]: Taking taylor expansion of 2.0 in i
51.421 * [backup-simplify]: Simplify 2.0 into 2.0
51.421 * [taylor]: Taking taylor expansion of i in i
51.421 * [backup-simplify]: Simplify 0 into 0
51.421 * [backup-simplify]: Simplify 1 into 1
51.421 * [taylor]: Taking taylor expansion of beta in i
51.421 * [backup-simplify]: Simplify beta into beta
51.421 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
51.421 * [taylor]: Taking taylor expansion of alpha in i
51.421 * [backup-simplify]: Simplify alpha into alpha
51.421 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
51.421 * [taylor]: Taking taylor expansion of 2.0 in i
51.421 * [backup-simplify]: Simplify 2.0 into 2.0
51.421 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
51.421 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
51.421 * [taylor]: Taking taylor expansion of 2.0 in i
51.421 * [backup-simplify]: Simplify 2.0 into 2.0
51.421 * [taylor]: Taking taylor expansion of i in i
51.421 * [backup-simplify]: Simplify 0 into 0
51.421 * [backup-simplify]: Simplify 1 into 1
51.421 * [taylor]: Taking taylor expansion of beta in i
51.421 * [backup-simplify]: Simplify beta into beta
51.422 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
51.424 * [backup-simplify]: Simplify (* 2.0 0) into 0
51.424 * [backup-simplify]: Simplify (+ 0 beta) into beta
51.424 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
51.425 * [backup-simplify]: Simplify (* 2.0 0) into 0
51.425 * [backup-simplify]: Simplify (+ 0 beta) into beta
51.425 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
51.425 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
51.425 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
51.425 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
51.425 * [taylor]: Taking taylor expansion of 1.0 in i
51.426 * [backup-simplify]: Simplify 1.0 into 1.0
51.426 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
51.426 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
51.426 * [taylor]: Taking taylor expansion of alpha in i
51.426 * [backup-simplify]: Simplify alpha into alpha
51.426 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
51.426 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
51.426 * [taylor]: Taking taylor expansion of alpha in i
51.426 * [backup-simplify]: Simplify alpha into alpha
51.426 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
51.426 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
51.426 * [taylor]: Taking taylor expansion of 2.0 in i
51.426 * [backup-simplify]: Simplify 2.0 into 2.0
51.426 * [taylor]: Taking taylor expansion of i in i
51.426 * [backup-simplify]: Simplify 0 into 0
51.426 * [backup-simplify]: Simplify 1 into 1
51.426 * [taylor]: Taking taylor expansion of beta in i
51.426 * [backup-simplify]: Simplify beta into beta
51.426 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
51.426 * [taylor]: Taking taylor expansion of alpha in i
51.426 * [backup-simplify]: Simplify alpha into alpha
51.426 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
51.426 * [taylor]: Taking taylor expansion of 2.0 in i
51.426 * [backup-simplify]: Simplify 2.0 into 2.0
51.426 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
51.426 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
51.426 * [taylor]: Taking taylor expansion of 2.0 in i
51.426 * [backup-simplify]: Simplify 2.0 into 2.0
51.426 * [taylor]: Taking taylor expansion of i in i
51.426 * [backup-simplify]: Simplify 0 into 0
51.426 * [backup-simplify]: Simplify 1 into 1
51.426 * [taylor]: Taking taylor expansion of beta in i
51.426 * [backup-simplify]: Simplify beta into beta
51.426 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
51.427 * [backup-simplify]: Simplify (* 2.0 0) into 0
51.427 * [backup-simplify]: Simplify (+ 0 beta) into beta
51.427 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
51.427 * [backup-simplify]: Simplify (* 2.0 0) into 0
51.427 * [backup-simplify]: Simplify (+ 0 beta) into beta
51.427 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
51.428 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
51.428 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
51.428 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
51.428 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
51.428 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
51.428 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
51.428 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.428 * [taylor]: Taking taylor expansion of beta in beta
51.428 * [backup-simplify]: Simplify 0 into 0
51.428 * [backup-simplify]: Simplify 1 into 1
51.428 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
51.428 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
51.428 * [taylor]: Taking taylor expansion of alpha in beta
51.428 * [backup-simplify]: Simplify alpha into alpha
51.428 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.428 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.428 * [taylor]: Taking taylor expansion of 2.0 in beta
51.428 * [backup-simplify]: Simplify 2.0 into 2.0
51.428 * [taylor]: Taking taylor expansion of i in beta
51.428 * [backup-simplify]: Simplify i into i
51.428 * [taylor]: Taking taylor expansion of beta in beta
51.428 * [backup-simplify]: Simplify 0 into 0
51.428 * [backup-simplify]: Simplify 1 into 1
51.428 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
51.428 * [taylor]: Taking taylor expansion of alpha in beta
51.429 * [backup-simplify]: Simplify alpha into alpha
51.429 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
51.429 * [taylor]: Taking taylor expansion of 2.0 in beta
51.429 * [backup-simplify]: Simplify 2.0 into 2.0
51.429 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.429 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.429 * [taylor]: Taking taylor expansion of 2.0 in beta
51.429 * [backup-simplify]: Simplify 2.0 into 2.0
51.429 * [taylor]: Taking taylor expansion of i in beta
51.429 * [backup-simplify]: Simplify i into i
51.429 * [taylor]: Taking taylor expansion of beta in beta
51.429 * [backup-simplify]: Simplify 0 into 0
51.429 * [backup-simplify]: Simplify 1 into 1
51.429 * [backup-simplify]: Simplify (* 1 1) into 1
51.429 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.429 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.429 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
51.429 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.430 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.430 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
51.430 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
51.430 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
51.430 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
51.430 * [taylor]: Taking taylor expansion of 1.0 in beta
51.430 * [backup-simplify]: Simplify 1.0 into 1.0
51.430 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
51.439 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
51.439 * [taylor]: Taking taylor expansion of alpha in beta
51.439 * [backup-simplify]: Simplify alpha into alpha
51.439 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
51.439 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
51.439 * [taylor]: Taking taylor expansion of alpha in beta
51.439 * [backup-simplify]: Simplify alpha into alpha
51.439 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.439 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.439 * [taylor]: Taking taylor expansion of 2.0 in beta
51.439 * [backup-simplify]: Simplify 2.0 into 2.0
51.439 * [taylor]: Taking taylor expansion of i in beta
51.439 * [backup-simplify]: Simplify i into i
51.439 * [taylor]: Taking taylor expansion of beta in beta
51.439 * [backup-simplify]: Simplify 0 into 0
51.439 * [backup-simplify]: Simplify 1 into 1
51.439 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
51.439 * [taylor]: Taking taylor expansion of alpha in beta
51.439 * [backup-simplify]: Simplify alpha into alpha
51.439 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
51.439 * [taylor]: Taking taylor expansion of 2.0 in beta
51.439 * [backup-simplify]: Simplify 2.0 into 2.0
51.439 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.439 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.439 * [taylor]: Taking taylor expansion of 2.0 in beta
51.439 * [backup-simplify]: Simplify 2.0 into 2.0
51.439 * [taylor]: Taking taylor expansion of i in beta
51.439 * [backup-simplify]: Simplify i into i
51.439 * [taylor]: Taking taylor expansion of beta in beta
51.439 * [backup-simplify]: Simplify 0 into 0
51.439 * [backup-simplify]: Simplify 1 into 1
51.439 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
51.439 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.440 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.440 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
51.440 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.440 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.440 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
51.440 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
51.440 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
51.441 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
51.441 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
51.441 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
51.441 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
51.441 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
51.441 * [taylor]: Taking taylor expansion of beta in alpha
51.441 * [backup-simplify]: Simplify beta into beta
51.441 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
51.441 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
51.441 * [taylor]: Taking taylor expansion of alpha in alpha
51.441 * [backup-simplify]: Simplify 0 into 0
51.441 * [backup-simplify]: Simplify 1 into 1
51.441 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
51.441 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
51.441 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.441 * [backup-simplify]: Simplify 2.0 into 2.0
51.441 * [taylor]: Taking taylor expansion of i in alpha
51.441 * [backup-simplify]: Simplify i into i
51.441 * [taylor]: Taking taylor expansion of beta in alpha
51.441 * [backup-simplify]: Simplify beta into beta
51.441 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
51.441 * [taylor]: Taking taylor expansion of alpha in alpha
51.441 * [backup-simplify]: Simplify 0 into 0
51.441 * [backup-simplify]: Simplify 1 into 1
51.441 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
51.441 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.441 * [backup-simplify]: Simplify 2.0 into 2.0
51.441 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
51.441 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
51.441 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.441 * [backup-simplify]: Simplify 2.0 into 2.0
51.441 * [taylor]: Taking taylor expansion of i in alpha
51.441 * [backup-simplify]: Simplify i into i
51.441 * [taylor]: Taking taylor expansion of beta in alpha
51.441 * [backup-simplify]: Simplify beta into beta
51.441 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
51.442 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.442 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
51.442 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
51.442 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.442 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
51.442 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
51.442 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
51.446 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
51.446 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
51.446 * [taylor]: Taking taylor expansion of 1.0 in alpha
51.446 * [backup-simplify]: Simplify 1.0 into 1.0
51.446 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
51.446 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
51.446 * [taylor]: Taking taylor expansion of alpha in alpha
51.446 * [backup-simplify]: Simplify 0 into 0
51.446 * [backup-simplify]: Simplify 1 into 1
51.447 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
51.447 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
51.447 * [taylor]: Taking taylor expansion of alpha in alpha
51.447 * [backup-simplify]: Simplify 0 into 0
51.447 * [backup-simplify]: Simplify 1 into 1
51.447 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
51.447 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
51.447 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.447 * [backup-simplify]: Simplify 2.0 into 2.0
51.447 * [taylor]: Taking taylor expansion of i in alpha
51.447 * [backup-simplify]: Simplify i into i
51.447 * [taylor]: Taking taylor expansion of beta in alpha
51.447 * [backup-simplify]: Simplify beta into beta
51.447 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
51.447 * [taylor]: Taking taylor expansion of alpha in alpha
51.447 * [backup-simplify]: Simplify 0 into 0
51.447 * [backup-simplify]: Simplify 1 into 1
51.447 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
51.447 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.447 * [backup-simplify]: Simplify 2.0 into 2.0
51.447 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
51.447 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
51.447 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.447 * [backup-simplify]: Simplify 2.0 into 2.0
51.447 * [taylor]: Taking taylor expansion of i in alpha
51.447 * [backup-simplify]: Simplify i into i
51.447 * [taylor]: Taking taylor expansion of beta in alpha
51.447 * [backup-simplify]: Simplify beta into beta
51.448 * [backup-simplify]: Simplify (* 1 1) into 1
51.448 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.448 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
51.448 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
51.448 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.448 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
51.448 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
51.448 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
51.448 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
51.449 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
51.449 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
51.449 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
51.449 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
51.449 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
51.449 * [taylor]: Taking taylor expansion of beta in alpha
51.449 * [backup-simplify]: Simplify beta into beta
51.449 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
51.449 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
51.449 * [taylor]: Taking taylor expansion of alpha in alpha
51.449 * [backup-simplify]: Simplify 0 into 0
51.449 * [backup-simplify]: Simplify 1 into 1
51.449 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
51.449 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
51.449 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.449 * [backup-simplify]: Simplify 2.0 into 2.0
51.449 * [taylor]: Taking taylor expansion of i in alpha
51.449 * [backup-simplify]: Simplify i into i
51.449 * [taylor]: Taking taylor expansion of beta in alpha
51.449 * [backup-simplify]: Simplify beta into beta
51.449 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
51.449 * [taylor]: Taking taylor expansion of alpha in alpha
51.449 * [backup-simplify]: Simplify 0 into 0
51.449 * [backup-simplify]: Simplify 1 into 1
51.449 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
51.449 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.449 * [backup-simplify]: Simplify 2.0 into 2.0
51.449 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
51.449 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
51.449 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.449 * [backup-simplify]: Simplify 2.0 into 2.0
51.450 * [taylor]: Taking taylor expansion of i in alpha
51.450 * [backup-simplify]: Simplify i into i
51.450 * [taylor]: Taking taylor expansion of beta in alpha
51.450 * [backup-simplify]: Simplify beta into beta
51.450 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
51.450 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.450 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
51.450 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
51.450 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.450 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
51.450 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
51.454 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
51.455 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
51.455 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
51.455 * [taylor]: Taking taylor expansion of 1.0 in alpha
51.455 * [backup-simplify]: Simplify 1.0 into 1.0
51.455 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
51.455 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
51.455 * [taylor]: Taking taylor expansion of alpha in alpha
51.455 * [backup-simplify]: Simplify 0 into 0
51.455 * [backup-simplify]: Simplify 1 into 1
51.455 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
51.455 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
51.455 * [taylor]: Taking taylor expansion of alpha in alpha
51.455 * [backup-simplify]: Simplify 0 into 0
51.456 * [backup-simplify]: Simplify 1 into 1
51.456 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
51.456 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
51.456 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.456 * [backup-simplify]: Simplify 2.0 into 2.0
51.456 * [taylor]: Taking taylor expansion of i in alpha
51.456 * [backup-simplify]: Simplify i into i
51.456 * [taylor]: Taking taylor expansion of beta in alpha
51.456 * [backup-simplify]: Simplify beta into beta
51.456 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
51.456 * [taylor]: Taking taylor expansion of alpha in alpha
51.456 * [backup-simplify]: Simplify 0 into 0
51.456 * [backup-simplify]: Simplify 1 into 1
51.456 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
51.456 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.456 * [backup-simplify]: Simplify 2.0 into 2.0
51.456 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
51.456 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
51.456 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.456 * [backup-simplify]: Simplify 2.0 into 2.0
51.456 * [taylor]: Taking taylor expansion of i in alpha
51.456 * [backup-simplify]: Simplify i into i
51.456 * [taylor]: Taking taylor expansion of beta in alpha
51.456 * [backup-simplify]: Simplify beta into beta
51.457 * [backup-simplify]: Simplify (* 1 1) into 1
51.457 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.457 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
51.457 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
51.457 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.457 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
51.458 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
51.458 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
51.458 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
51.458 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
51.463 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
51.464 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
51.464 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
51.464 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
51.464 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.464 * [taylor]: Taking taylor expansion of beta in beta
51.464 * [backup-simplify]: Simplify 0 into 0
51.464 * [backup-simplify]: Simplify 1 into 1
51.464 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
51.464 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.464 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.464 * [taylor]: Taking taylor expansion of 2.0 in beta
51.464 * [backup-simplify]: Simplify 2.0 into 2.0
51.464 * [taylor]: Taking taylor expansion of i in beta
51.464 * [backup-simplify]: Simplify i into i
51.464 * [taylor]: Taking taylor expansion of beta in beta
51.464 * [backup-simplify]: Simplify 0 into 0
51.464 * [backup-simplify]: Simplify 1 into 1
51.464 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.464 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.464 * [taylor]: Taking taylor expansion of 2.0 in beta
51.464 * [backup-simplify]: Simplify 2.0 into 2.0
51.464 * [taylor]: Taking taylor expansion of i in beta
51.464 * [backup-simplify]: Simplify i into i
51.464 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.464 * [taylor]: Taking taylor expansion of beta in beta
51.464 * [backup-simplify]: Simplify 0 into 0
51.464 * [backup-simplify]: Simplify 1 into 1
51.464 * [taylor]: Taking taylor expansion of 2.0 in beta
51.465 * [backup-simplify]: Simplify 2.0 into 2.0
51.467 * [backup-simplify]: Simplify (* 1 1) into 1
51.467 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.467 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.467 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.473 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.474 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.474 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
51.474 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
51.474 * [taylor]: Taking taylor expansion of 1.0 in beta
51.474 * [backup-simplify]: Simplify 1.0 into 1.0
51.477 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
51.477 * [taylor]: Taking taylor expansion of 1.0 in i
51.477 * [backup-simplify]: Simplify 1.0 into 1.0
51.477 * [backup-simplify]: Simplify 1.0 into 1.0
51.477 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
51.477 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
51.478 * [backup-simplify]: Simplify (+ 0 0) into 0
51.478 * [backup-simplify]: Simplify (+ 0 0) into 0
51.481 * [backup-simplify]: Simplify (+ 1 0) into 1
51.482 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
51.482 * [backup-simplify]: Simplify (+ 0 0) into 0
51.483 * [backup-simplify]: Simplify (+ 1 0) into 1
51.483 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
51.485 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
51.488 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
51.492 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
51.492 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
51.492 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
51.492 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
51.492 * [taylor]: Taking taylor expansion of 4.0 in beta
51.492 * [backup-simplify]: Simplify 4.0 into 4.0
51.492 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
51.492 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
51.492 * [taylor]: Taking taylor expansion of i in beta
51.492 * [backup-simplify]: Simplify i into i
51.492 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.492 * [taylor]: Taking taylor expansion of beta in beta
51.492 * [backup-simplify]: Simplify 0 into 0
51.492 * [backup-simplify]: Simplify 1 into 1
51.492 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
51.492 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
51.493 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.493 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.493 * [taylor]: Taking taylor expansion of 2.0 in beta
51.493 * [backup-simplify]: Simplify 2.0 into 2.0
51.493 * [taylor]: Taking taylor expansion of i in beta
51.493 * [backup-simplify]: Simplify i into i
51.493 * [taylor]: Taking taylor expansion of beta in beta
51.493 * [backup-simplify]: Simplify 0 into 0
51.493 * [backup-simplify]: Simplify 1 into 1
51.493 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.493 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.493 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
51.493 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.493 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.493 * [taylor]: Taking taylor expansion of 2.0 in beta
51.493 * [backup-simplify]: Simplify 2.0 into 2.0
51.493 * [taylor]: Taking taylor expansion of i in beta
51.493 * [backup-simplify]: Simplify i into i
51.493 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.493 * [taylor]: Taking taylor expansion of beta in beta
51.493 * [backup-simplify]: Simplify 0 into 0
51.493 * [backup-simplify]: Simplify 1 into 1
51.493 * [taylor]: Taking taylor expansion of 2.0 in beta
51.493 * [backup-simplify]: Simplify 2.0 into 2.0
51.493 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.497 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.498 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.501 * [backup-simplify]: Simplify (* 1 1) into 1
51.501 * [backup-simplify]: Simplify (* i 1) into i
51.502 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
51.502 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
51.502 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
51.502 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
51.503 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
51.503 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
51.503 * [taylor]: Taking taylor expansion of 2 in beta
51.503 * [backup-simplify]: Simplify 2 into 2
51.503 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
51.503 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
51.503 * [taylor]: Taking taylor expansion of beta in beta
51.503 * [backup-simplify]: Simplify 0 into 0
51.503 * [backup-simplify]: Simplify 1 into 1
51.503 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
51.503 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
51.503 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.503 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.503 * [taylor]: Taking taylor expansion of 2.0 in beta
51.503 * [backup-simplify]: Simplify 2.0 into 2.0
51.503 * [taylor]: Taking taylor expansion of i in beta
51.503 * [backup-simplify]: Simplify i into i
51.503 * [taylor]: Taking taylor expansion of beta in beta
51.503 * [backup-simplify]: Simplify 0 into 0
51.503 * [backup-simplify]: Simplify 1 into 1
51.503 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.503 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.503 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
51.503 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.503 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.503 * [taylor]: Taking taylor expansion of 2.0 in beta
51.503 * [backup-simplify]: Simplify 2.0 into 2.0
51.503 * [taylor]: Taking taylor expansion of i in beta
51.503 * [backup-simplify]: Simplify i into i
51.503 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.503 * [taylor]: Taking taylor expansion of beta in beta
51.504 * [backup-simplify]: Simplify 0 into 0
51.504 * [backup-simplify]: Simplify 1 into 1
51.504 * [taylor]: Taking taylor expansion of 2.0 in beta
51.504 * [backup-simplify]: Simplify 2.0 into 2.0
51.504 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.507 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.507 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.508 * [backup-simplify]: Simplify (* 1 1) into 1
51.508 * [backup-simplify]: Simplify (* 1 1) into 1
51.508 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
51.508 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
51.509 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
51.509 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
51.509 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
51.509 * [taylor]: Taking taylor expansion of 2.0 in beta
51.509 * [backup-simplify]: Simplify 2.0 into 2.0
51.509 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
51.509 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.509 * [taylor]: Taking taylor expansion of beta in beta
51.509 * [backup-simplify]: Simplify 0 into 0
51.509 * [backup-simplify]: Simplify 1 into 1
51.509 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
51.509 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
51.509 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.509 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.509 * [taylor]: Taking taylor expansion of 2.0 in beta
51.509 * [backup-simplify]: Simplify 2.0 into 2.0
51.509 * [taylor]: Taking taylor expansion of i in beta
51.510 * [backup-simplify]: Simplify i into i
51.510 * [taylor]: Taking taylor expansion of beta in beta
51.510 * [backup-simplify]: Simplify 0 into 0
51.510 * [backup-simplify]: Simplify 1 into 1
51.510 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.510 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.510 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
51.510 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.510 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.510 * [taylor]: Taking taylor expansion of 2.0 in beta
51.510 * [backup-simplify]: Simplify 2.0 into 2.0
51.510 * [taylor]: Taking taylor expansion of i in beta
51.510 * [backup-simplify]: Simplify i into i
51.510 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.510 * [taylor]: Taking taylor expansion of beta in beta
51.510 * [backup-simplify]: Simplify 0 into 0
51.510 * [backup-simplify]: Simplify 1 into 1
51.510 * [taylor]: Taking taylor expansion of 2.0 in beta
51.510 * [backup-simplify]: Simplify 2.0 into 2.0
51.510 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.511 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.511 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.512 * [backup-simplify]: Simplify (* 1 1) into 1
51.512 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
51.512 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
51.512 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
51.513 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
51.513 * [backup-simplify]: Simplify (+ 0 0) into 0
51.513 * [taylor]: Taking taylor expansion of 0 in i
51.513 * [backup-simplify]: Simplify 0 into 0
51.513 * [backup-simplify]: Simplify 0 into 0
51.513 * [backup-simplify]: Simplify 0 into 0
51.514 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
51.520 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
51.521 * [backup-simplify]: Simplify (+ 0 0) into 0
51.522 * [backup-simplify]: Simplify (+ 0 0) into 0
51.522 * [backup-simplify]: Simplify (+ 0 0) into 0
51.523 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
51.523 * [backup-simplify]: Simplify (+ 0 0) into 0
51.524 * [backup-simplify]: Simplify (+ 0 0) into 0
51.526 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
51.534 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
51.551 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
51.551 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
51.572 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
51.572 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
51.572 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
51.573 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
51.573 * [taylor]: Taking taylor expansion of 16.0 in beta
51.573 * [backup-simplify]: Simplify 16.0 into 16.0
51.573 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
51.573 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
51.573 * [taylor]: Taking taylor expansion of (pow i 2) in beta
51.573 * [taylor]: Taking taylor expansion of i in beta
51.573 * [backup-simplify]: Simplify i into i
51.573 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.573 * [taylor]: Taking taylor expansion of beta in beta
51.573 * [backup-simplify]: Simplify 0 into 0
51.573 * [backup-simplify]: Simplify 1 into 1
51.573 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
51.573 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
51.573 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.573 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.573 * [taylor]: Taking taylor expansion of 2.0 in beta
51.573 * [backup-simplify]: Simplify 2.0 into 2.0
51.573 * [taylor]: Taking taylor expansion of i in beta
51.573 * [backup-simplify]: Simplify i into i
51.573 * [taylor]: Taking taylor expansion of beta in beta
51.573 * [backup-simplify]: Simplify 0 into 0
51.573 * [backup-simplify]: Simplify 1 into 1
51.573 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.574 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.574 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
51.574 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.574 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.574 * [taylor]: Taking taylor expansion of 2.0 in beta
51.574 * [backup-simplify]: Simplify 2.0 into 2.0
51.574 * [taylor]: Taking taylor expansion of i in beta
51.574 * [backup-simplify]: Simplify i into i
51.574 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.574 * [taylor]: Taking taylor expansion of beta in beta
51.574 * [backup-simplify]: Simplify 0 into 0
51.574 * [backup-simplify]: Simplify 1 into 1
51.574 * [taylor]: Taking taylor expansion of 2.0 in beta
51.574 * [backup-simplify]: Simplify 2.0 into 2.0
51.574 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.575 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.575 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.575 * [backup-simplify]: Simplify (* i i) into (pow i 2)
51.575 * [backup-simplify]: Simplify (* 1 1) into 1
51.576 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
51.576 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
51.576 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
51.576 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
51.576 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
51.577 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
51.577 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
51.577 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
51.577 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
51.577 * [taylor]: Taking taylor expansion of 4 in beta
51.577 * [backup-simplify]: Simplify 4 into 4
51.577 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
51.577 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
51.577 * [taylor]: Taking taylor expansion of beta in beta
51.578 * [backup-simplify]: Simplify 0 into 0
51.578 * [backup-simplify]: Simplify 1 into 1
51.578 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
51.578 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
51.578 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.578 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.578 * [taylor]: Taking taylor expansion of 2.0 in beta
51.578 * [backup-simplify]: Simplify 2.0 into 2.0
51.578 * [taylor]: Taking taylor expansion of i in beta
51.578 * [backup-simplify]: Simplify i into i
51.578 * [taylor]: Taking taylor expansion of beta in beta
51.578 * [backup-simplify]: Simplify 0 into 0
51.578 * [backup-simplify]: Simplify 1 into 1
51.578 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.578 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.578 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
51.578 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.578 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.578 * [taylor]: Taking taylor expansion of 2.0 in beta
51.578 * [backup-simplify]: Simplify 2.0 into 2.0
51.578 * [taylor]: Taking taylor expansion of i in beta
51.578 * [backup-simplify]: Simplify i into i
51.578 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.578 * [taylor]: Taking taylor expansion of beta in beta
51.579 * [backup-simplify]: Simplify 0 into 0
51.579 * [backup-simplify]: Simplify 1 into 1
51.579 * [taylor]: Taking taylor expansion of 2.0 in beta
51.579 * [backup-simplify]: Simplify 2.0 into 2.0
51.579 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.579 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.580 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.580 * [backup-simplify]: Simplify (* 1 1) into 1
51.581 * [backup-simplify]: Simplify (* 1 1) into 1
51.581 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
51.581 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
51.581 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
51.582 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
51.582 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
51.582 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
51.582 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
51.583 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
51.583 * [taylor]: Taking taylor expansion of 8.0 in beta
51.583 * [backup-simplify]: Simplify 8.0 into 8.0
51.583 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
51.583 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
51.583 * [taylor]: Taking taylor expansion of beta in beta
51.583 * [backup-simplify]: Simplify 0 into 0
51.583 * [backup-simplify]: Simplify 1 into 1
51.583 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
51.583 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
51.583 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.583 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.583 * [taylor]: Taking taylor expansion of 2.0 in beta
51.583 * [backup-simplify]: Simplify 2.0 into 2.0
51.583 * [taylor]: Taking taylor expansion of i in beta
51.583 * [backup-simplify]: Simplify i into i
51.583 * [taylor]: Taking taylor expansion of beta in beta
51.583 * [backup-simplify]: Simplify 0 into 0
51.583 * [backup-simplify]: Simplify 1 into 1
51.583 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.583 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.583 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
51.583 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.583 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.583 * [taylor]: Taking taylor expansion of 2.0 in beta
51.584 * [backup-simplify]: Simplify 2.0 into 2.0
51.584 * [taylor]: Taking taylor expansion of i in beta
51.584 * [backup-simplify]: Simplify i into i
51.584 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.584 * [taylor]: Taking taylor expansion of beta in beta
51.584 * [backup-simplify]: Simplify 0 into 0
51.584 * [backup-simplify]: Simplify 1 into 1
51.584 * [taylor]: Taking taylor expansion of 2.0 in beta
51.584 * [backup-simplify]: Simplify 2.0 into 2.0
51.584 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.584 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.585 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.585 * [backup-simplify]: Simplify (* 1 1) into 1
51.585 * [backup-simplify]: Simplify (* 1 1) into 1
51.585 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
51.586 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
51.586 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
51.586 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
51.587 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
51.587 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
51.587 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
51.587 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
51.587 * [taylor]: Taking taylor expansion of 16.0 in beta
51.587 * [backup-simplify]: Simplify 16.0 into 16.0
51.587 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
51.587 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
51.587 * [taylor]: Taking taylor expansion of i in beta
51.587 * [backup-simplify]: Simplify i into i
51.587 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
51.587 * [taylor]: Taking taylor expansion of beta in beta
51.587 * [backup-simplify]: Simplify 0 into 0
51.587 * [backup-simplify]: Simplify 1 into 1
51.588 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
51.588 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
51.588 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.588 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.588 * [taylor]: Taking taylor expansion of 2.0 in beta
51.588 * [backup-simplify]: Simplify 2.0 into 2.0
51.588 * [taylor]: Taking taylor expansion of i in beta
51.588 * [backup-simplify]: Simplify i into i
51.588 * [taylor]: Taking taylor expansion of beta in beta
51.588 * [backup-simplify]: Simplify 0 into 0
51.588 * [backup-simplify]: Simplify 1 into 1
51.588 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.588 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.588 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
51.588 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.588 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.588 * [taylor]: Taking taylor expansion of 2.0 in beta
51.588 * [backup-simplify]: Simplify 2.0 into 2.0
51.588 * [taylor]: Taking taylor expansion of i in beta
51.588 * [backup-simplify]: Simplify i into i
51.588 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.588 * [taylor]: Taking taylor expansion of beta in beta
51.588 * [backup-simplify]: Simplify 0 into 0
51.588 * [backup-simplify]: Simplify 1 into 1
51.588 * [taylor]: Taking taylor expansion of 2.0 in beta
51.588 * [backup-simplify]: Simplify 2.0 into 2.0
51.589 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.589 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.589 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.590 * [backup-simplify]: Simplify (* 1 1) into 1
51.590 * [backup-simplify]: Simplify (* 1 1) into 1
51.590 * [backup-simplify]: Simplify (* i 1) into i
51.590 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
51.591 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
51.591 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
51.591 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
51.592 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
51.592 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
51.592 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
51.592 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
51.592 * [taylor]: Taking taylor expansion of 16.0 in beta
51.592 * [backup-simplify]: Simplify 16.0 into 16.0
51.592 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
51.592 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
51.592 * [taylor]: Taking taylor expansion of i in beta
51.592 * [backup-simplify]: Simplify i into i
51.592 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.592 * [taylor]: Taking taylor expansion of beta in beta
51.593 * [backup-simplify]: Simplify 0 into 0
51.593 * [backup-simplify]: Simplify 1 into 1
51.593 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
51.593 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
51.593 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.593 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.593 * [taylor]: Taking taylor expansion of 2.0 in beta
51.593 * [backup-simplify]: Simplify 2.0 into 2.0
51.593 * [taylor]: Taking taylor expansion of i in beta
51.593 * [backup-simplify]: Simplify i into i
51.593 * [taylor]: Taking taylor expansion of beta in beta
51.593 * [backup-simplify]: Simplify 0 into 0
51.593 * [backup-simplify]: Simplify 1 into 1
51.593 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.593 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.593 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
51.593 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.593 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.593 * [taylor]: Taking taylor expansion of 2.0 in beta
51.593 * [backup-simplify]: Simplify 2.0 into 2.0
51.593 * [taylor]: Taking taylor expansion of i in beta
51.593 * [backup-simplify]: Simplify i into i
51.593 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.593 * [taylor]: Taking taylor expansion of beta in beta
51.593 * [backup-simplify]: Simplify 0 into 0
51.593 * [backup-simplify]: Simplify 1 into 1
51.594 * [taylor]: Taking taylor expansion of 2.0 in beta
51.594 * [backup-simplify]: Simplify 2.0 into 2.0
51.594 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.594 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.595 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.595 * [backup-simplify]: Simplify (* 1 1) into 1
51.595 * [backup-simplify]: Simplify (* i 1) into i
51.595 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
51.595 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
51.596 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
51.596 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
51.596 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
51.597 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
51.597 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
51.597 * [taylor]: Taking taylor expansion of 4.0 in beta
51.597 * [backup-simplify]: Simplify 4.0 into 4.0
51.597 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
51.597 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.597 * [taylor]: Taking taylor expansion of beta in beta
51.597 * [backup-simplify]: Simplify 0 into 0
51.597 * [backup-simplify]: Simplify 1 into 1
51.597 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
51.597 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
51.597 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.597 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.597 * [taylor]: Taking taylor expansion of 2.0 in beta
51.597 * [backup-simplify]: Simplify 2.0 into 2.0
51.597 * [taylor]: Taking taylor expansion of i in beta
51.597 * [backup-simplify]: Simplify i into i
51.597 * [taylor]: Taking taylor expansion of beta in beta
51.597 * [backup-simplify]: Simplify 0 into 0
51.597 * [backup-simplify]: Simplify 1 into 1
51.597 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.597 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.597 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
51.598 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.598 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.598 * [taylor]: Taking taylor expansion of 2.0 in beta
51.598 * [backup-simplify]: Simplify 2.0 into 2.0
51.598 * [taylor]: Taking taylor expansion of i in beta
51.598 * [backup-simplify]: Simplify i into i
51.598 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.598 * [taylor]: Taking taylor expansion of beta in beta
51.598 * [backup-simplify]: Simplify 0 into 0
51.598 * [backup-simplify]: Simplify 1 into 1
51.598 * [taylor]: Taking taylor expansion of 2.0 in beta
51.598 * [backup-simplify]: Simplify 2.0 into 2.0
51.598 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.599 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.599 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.599 * [backup-simplify]: Simplify (* 1 1) into 1
51.599 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
51.600 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
51.600 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
51.600 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
51.601 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
51.601 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
51.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
51.601 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
51.601 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
51.602 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.602 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.602 * [taylor]: Taking taylor expansion of 2.0 in beta
51.602 * [backup-simplify]: Simplify 2.0 into 2.0
51.602 * [taylor]: Taking taylor expansion of i in beta
51.602 * [backup-simplify]: Simplify i into i
51.602 * [taylor]: Taking taylor expansion of beta in beta
51.602 * [backup-simplify]: Simplify 0 into 0
51.602 * [backup-simplify]: Simplify 1 into 1
51.602 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.602 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.602 * [taylor]: Taking taylor expansion of 2.0 in beta
51.602 * [backup-simplify]: Simplify 2.0 into 2.0
51.602 * [taylor]: Taking taylor expansion of i in beta
51.602 * [backup-simplify]: Simplify i into i
51.602 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.602 * [taylor]: Taking taylor expansion of beta in beta
51.602 * [backup-simplify]: Simplify 0 into 0
51.602 * [backup-simplify]: Simplify 1 into 1
51.602 * [taylor]: Taking taylor expansion of 2.0 in beta
51.602 * [backup-simplify]: Simplify 2.0 into 2.0
51.603 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.603 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.603 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.604 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.604 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.604 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
51.604 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
51.604 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
51.604 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.604 * [taylor]: Taking taylor expansion of beta in beta
51.604 * [backup-simplify]: Simplify 0 into 0
51.604 * [backup-simplify]: Simplify 1 into 1
51.604 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
51.604 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
51.605 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
51.605 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.605 * [taylor]: Taking taylor expansion of 2.0 in beta
51.605 * [backup-simplify]: Simplify 2.0 into 2.0
51.605 * [taylor]: Taking taylor expansion of i in beta
51.605 * [backup-simplify]: Simplify i into i
51.605 * [taylor]: Taking taylor expansion of beta in beta
51.605 * [backup-simplify]: Simplify 0 into 0
51.605 * [backup-simplify]: Simplify 1 into 1
51.605 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.605 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
51.605 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
51.605 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
51.605 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
51.605 * [taylor]: Taking taylor expansion of 2.0 in beta
51.605 * [backup-simplify]: Simplify 2.0 into 2.0
51.605 * [taylor]: Taking taylor expansion of i in beta
51.605 * [backup-simplify]: Simplify i into i
51.605 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
51.605 * [taylor]: Taking taylor expansion of beta in beta
51.605 * [backup-simplify]: Simplify 0 into 0
51.605 * [backup-simplify]: Simplify 1 into 1
51.605 * [taylor]: Taking taylor expansion of 2.0 in beta
51.605 * [backup-simplify]: Simplify 2.0 into 2.0
51.605 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
51.606 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.606 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
51.607 * [backup-simplify]: Simplify (* 1 1) into 1
51.607 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
51.607 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
51.607 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
51.608 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
51.608 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
51.608 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
51.609 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
51.609 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
51.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
51.609 * [taylor]: Taking taylor expansion of 0.5 in i
51.609 * [backup-simplify]: Simplify 0.5 into 0.5
51.609 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
51.609 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
51.609 * [taylor]: Taking taylor expansion of i in i
51.609 * [backup-simplify]: Simplify 0 into 0
51.609 * [backup-simplify]: Simplify 1 into 1
51.609 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
51.609 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
51.609 * [taylor]: Taking taylor expansion of 2.0 in i
51.609 * [backup-simplify]: Simplify 2.0 into 2.0
51.609 * [taylor]: Taking taylor expansion of i in i
51.609 * [backup-simplify]: Simplify 0 into 0
51.609 * [backup-simplify]: Simplify 1 into 1
51.609 * [taylor]: Taking taylor expansion of 2.0 in i
51.609 * [backup-simplify]: Simplify 2.0 into 2.0
51.610 * [backup-simplify]: Simplify (* 2.0 0) into 0
51.611 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.611 * [backup-simplify]: Simplify (* 0 2.0) into 0
51.613 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
51.614 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
51.615 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
51.616 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
51.617 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
51.617 * [backup-simplify]: Simplify (+ 0 0) into 0
51.620 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
51.622 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
51.624 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
51.625 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
51.625 * [backup-simplify]: Simplify 0.25 into 0.25
51.625 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
51.625 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
51.625 * [taylor]: Taking taylor expansion of 0.5 in i
51.625 * [backup-simplify]: Simplify 0.5 into 0.5
51.625 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
51.625 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
51.625 * [taylor]: Taking taylor expansion of i in i
51.625 * [backup-simplify]: Simplify 0 into 0
51.625 * [backup-simplify]: Simplify 1 into 1
51.625 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
51.626 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
51.626 * [taylor]: Taking taylor expansion of 2.0 in i
51.626 * [backup-simplify]: Simplify 2.0 into 2.0
51.626 * [taylor]: Taking taylor expansion of i in i
51.626 * [backup-simplify]: Simplify 0 into 0
51.626 * [backup-simplify]: Simplify 1 into 1
51.626 * [taylor]: Taking taylor expansion of 2.0 in i
51.626 * [backup-simplify]: Simplify 2.0 into 2.0
51.627 * [backup-simplify]: Simplify (* 2.0 0) into 0
51.627 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.628 * [backup-simplify]: Simplify (* 0 2.0) into 0
51.629 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
51.630 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
51.631 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
51.632 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
51.633 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
51.634 * [backup-simplify]: Simplify (+ 0 0) into 0
51.637 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
51.639 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
51.641 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
51.642 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
51.643 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
51.645 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 alpha) (/ 1 beta)) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
51.645 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
51.645 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
51.645 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
51.645 * [taylor]: Taking taylor expansion of 1.0 in i
51.645 * [backup-simplify]: Simplify 1.0 into 1.0
51.645 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
51.645 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
51.645 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
51.645 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
51.645 * [taylor]: Taking taylor expansion of alpha in i
51.645 * [backup-simplify]: Simplify alpha into alpha
51.645 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
51.645 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
51.645 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
51.646 * [taylor]: Taking taylor expansion of 2.0 in i
51.646 * [backup-simplify]: Simplify 2.0 into 2.0
51.646 * [taylor]: Taking taylor expansion of (/ 1 i) in i
51.646 * [taylor]: Taking taylor expansion of i in i
51.646 * [backup-simplify]: Simplify 0 into 0
51.646 * [backup-simplify]: Simplify 1 into 1
51.646 * [backup-simplify]: Simplify (/ 1 1) into 1
51.646 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
51.646 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
51.647 * [taylor]: Taking taylor expansion of beta in i
51.647 * [backup-simplify]: Simplify beta into beta
51.647 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.647 * [taylor]: Taking taylor expansion of 2.0 in i
51.647 * [backup-simplify]: Simplify 2.0 into 2.0
51.647 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
51.647 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
51.647 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
51.647 * [taylor]: Taking taylor expansion of alpha in i
51.647 * [backup-simplify]: Simplify alpha into alpha
51.647 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
51.647 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
51.647 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
51.647 * [taylor]: Taking taylor expansion of 2.0 in i
51.647 * [backup-simplify]: Simplify 2.0 into 2.0
51.647 * [taylor]: Taking taylor expansion of (/ 1 i) in i
51.647 * [taylor]: Taking taylor expansion of i in i
51.647 * [backup-simplify]: Simplify 0 into 0
51.647 * [backup-simplify]: Simplify 1 into 1
51.648 * [backup-simplify]: Simplify (/ 1 1) into 1
51.648 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
51.648 * [taylor]: Taking taylor expansion of beta in i
51.648 * [backup-simplify]: Simplify beta into beta
51.648 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.648 * [taylor]: Taking taylor expansion of (pow beta 2) in i
51.648 * [taylor]: Taking taylor expansion of beta in i
51.648 * [backup-simplify]: Simplify beta into beta
51.649 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
51.649 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
51.650 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.650 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
51.651 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
51.675 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.675 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
51.675 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
51.675 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
51.675 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
51.676 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
51.676 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
51.676 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
51.676 * [taylor]: Taking taylor expansion of alpha in i
51.676 * [backup-simplify]: Simplify alpha into alpha
51.676 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
51.676 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
51.676 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
51.676 * [taylor]: Taking taylor expansion of alpha in i
51.676 * [backup-simplify]: Simplify alpha into alpha
51.676 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
51.676 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
51.676 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
51.676 * [taylor]: Taking taylor expansion of 2.0 in i
51.676 * [backup-simplify]: Simplify 2.0 into 2.0
51.676 * [taylor]: Taking taylor expansion of (/ 1 i) in i
51.676 * [taylor]: Taking taylor expansion of i in i
51.676 * [backup-simplify]: Simplify 0 into 0
51.676 * [backup-simplify]: Simplify 1 into 1
51.694 * [backup-simplify]: Simplify (/ 1 1) into 1
51.694 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
51.694 * [taylor]: Taking taylor expansion of beta in i
51.694 * [backup-simplify]: Simplify beta into beta
51.694 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.694 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
51.694 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
51.694 * [taylor]: Taking taylor expansion of alpha in i
51.694 * [backup-simplify]: Simplify alpha into alpha
51.694 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
51.694 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
51.694 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
51.694 * [taylor]: Taking taylor expansion of 2.0 in i
51.694 * [backup-simplify]: Simplify 2.0 into 2.0
51.694 * [taylor]: Taking taylor expansion of (/ 1 i) in i
51.694 * [taylor]: Taking taylor expansion of i in i
51.694 * [backup-simplify]: Simplify 0 into 0
51.694 * [backup-simplify]: Simplify 1 into 1
51.699 * [backup-simplify]: Simplify (/ 1 1) into 1
51.699 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
51.699 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
51.700 * [taylor]: Taking taylor expansion of beta in i
51.700 * [backup-simplify]: Simplify beta into beta
51.700 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.700 * [taylor]: Taking taylor expansion of 2.0 in i
51.700 * [backup-simplify]: Simplify 2.0 into 2.0
51.700 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
51.704 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
51.704 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
51.715 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.716 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
51.716 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
51.716 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.717 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
51.717 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
51.717 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
51.717 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
51.717 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
51.717 * [taylor]: Taking taylor expansion of 1.0 in beta
51.717 * [backup-simplify]: Simplify 1.0 into 1.0
51.717 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
51.717 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
51.717 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
51.718 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
51.718 * [taylor]: Taking taylor expansion of alpha in beta
51.718 * [backup-simplify]: Simplify alpha into alpha
51.718 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
51.718 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
51.718 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
51.718 * [taylor]: Taking taylor expansion of 2.0 in beta
51.718 * [backup-simplify]: Simplify 2.0 into 2.0
51.718 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
51.718 * [taylor]: Taking taylor expansion of i in beta
51.718 * [backup-simplify]: Simplify i into i
51.718 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.718 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
51.718 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
51.718 * [taylor]: Taking taylor expansion of beta in beta
51.718 * [backup-simplify]: Simplify 0 into 0
51.718 * [backup-simplify]: Simplify 1 into 1
51.719 * [backup-simplify]: Simplify (/ 1 1) into 1
51.719 * [taylor]: Taking taylor expansion of 2.0 in beta
51.719 * [backup-simplify]: Simplify 2.0 into 2.0
51.719 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
51.719 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
51.719 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
51.719 * [taylor]: Taking taylor expansion of alpha in beta
51.719 * [backup-simplify]: Simplify alpha into alpha
51.719 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
51.719 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
51.719 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
51.719 * [taylor]: Taking taylor expansion of 2.0 in beta
51.719 * [backup-simplify]: Simplify 2.0 into 2.0
51.719 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
51.719 * [taylor]: Taking taylor expansion of i in beta
51.719 * [backup-simplify]: Simplify i into i
51.719 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.719 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
51.719 * [taylor]: Taking taylor expansion of beta in beta
51.719 * [backup-simplify]: Simplify 0 into 0
51.719 * [backup-simplify]: Simplify 1 into 1
51.720 * [backup-simplify]: Simplify (/ 1 1) into 1
51.720 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.720 * [taylor]: Taking taylor expansion of beta in beta
51.720 * [backup-simplify]: Simplify 0 into 0
51.720 * [backup-simplify]: Simplify 1 into 1
51.727 * [backup-simplify]: Simplify (+ 1 0) into 1
51.727 * [backup-simplify]: Simplify (+ 0 1) into 1
51.728 * [backup-simplify]: Simplify (+ 0 1) into 1
51.729 * [backup-simplify]: Simplify (+ 0 1) into 1
51.738 * [backup-simplify]: Simplify (+ 0 1) into 1
51.739 * [backup-simplify]: Simplify (* 1 1) into 1
51.739 * [backup-simplify]: Simplify (* 1 1) into 1
51.740 * [backup-simplify]: Simplify (* 1 1) into 1
51.740 * [backup-simplify]: Simplify (/ 1 1) into 1
51.740 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
51.740 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
51.740 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
51.740 * [taylor]: Taking taylor expansion of alpha in beta
51.740 * [backup-simplify]: Simplify alpha into alpha
51.740 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
51.740 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
51.740 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
51.740 * [taylor]: Taking taylor expansion of alpha in beta
51.740 * [backup-simplify]: Simplify alpha into alpha
51.741 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
51.741 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
51.741 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
51.741 * [taylor]: Taking taylor expansion of 2.0 in beta
51.741 * [backup-simplify]: Simplify 2.0 into 2.0
51.741 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
51.741 * [taylor]: Taking taylor expansion of i in beta
51.741 * [backup-simplify]: Simplify i into i
51.741 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.741 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
51.741 * [taylor]: Taking taylor expansion of beta in beta
51.741 * [backup-simplify]: Simplify 0 into 0
51.741 * [backup-simplify]: Simplify 1 into 1
51.742 * [backup-simplify]: Simplify (/ 1 1) into 1
51.742 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
51.742 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
51.742 * [taylor]: Taking taylor expansion of alpha in beta
51.742 * [backup-simplify]: Simplify alpha into alpha
51.742 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
51.742 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
51.742 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
51.742 * [taylor]: Taking taylor expansion of 2.0 in beta
51.742 * [backup-simplify]: Simplify 2.0 into 2.0
51.742 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
51.742 * [taylor]: Taking taylor expansion of i in beta
51.746 * [backup-simplify]: Simplify i into i
51.746 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.746 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
51.747 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
51.747 * [taylor]: Taking taylor expansion of beta in beta
51.747 * [backup-simplify]: Simplify 0 into 0
51.747 * [backup-simplify]: Simplify 1 into 1
51.747 * [backup-simplify]: Simplify (/ 1 1) into 1
51.747 * [taylor]: Taking taylor expansion of 2.0 in beta
51.747 * [backup-simplify]: Simplify 2.0 into 2.0
51.747 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
51.762 * [backup-simplify]: Simplify (+ 0 1) into 1
51.763 * [backup-simplify]: Simplify (+ 0 1) into 1
51.764 * [backup-simplify]: Simplify (+ 1 0) into 1
51.764 * [backup-simplify]: Simplify (+ 0 1) into 1
51.764 * [backup-simplify]: Simplify (+ 0 1) into 1
51.765 * [backup-simplify]: Simplify (* 1 1) into 1
51.765 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
51.765 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
51.765 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
51.765 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
51.765 * [taylor]: Taking taylor expansion of 1.0 in alpha
51.765 * [backup-simplify]: Simplify 1.0 into 1.0
51.765 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
51.765 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
51.766 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
51.766 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
51.766 * [taylor]: Taking taylor expansion of alpha in alpha
51.766 * [backup-simplify]: Simplify 0 into 0
51.766 * [backup-simplify]: Simplify 1 into 1
51.766 * [backup-simplify]: Simplify (/ 1 1) into 1
51.766 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
51.766 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
51.766 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.766 * [backup-simplify]: Simplify 2.0 into 2.0
51.766 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
51.766 * [taylor]: Taking taylor expansion of i in alpha
51.766 * [backup-simplify]: Simplify i into i
51.766 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.766 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
51.767 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
51.767 * [taylor]: Taking taylor expansion of beta in alpha
51.767 * [backup-simplify]: Simplify beta into beta
51.767 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.767 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.767 * [backup-simplify]: Simplify 2.0 into 2.0
51.767 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
51.767 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
51.767 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
51.767 * [taylor]: Taking taylor expansion of alpha in alpha
51.767 * [backup-simplify]: Simplify 0 into 0
51.767 * [backup-simplify]: Simplify 1 into 1
51.767 * [backup-simplify]: Simplify (/ 1 1) into 1
51.767 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
51.767 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
51.767 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.767 * [backup-simplify]: Simplify 2.0 into 2.0
51.767 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
51.768 * [taylor]: Taking taylor expansion of i in alpha
51.768 * [backup-simplify]: Simplify i into i
51.768 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.768 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
51.768 * [taylor]: Taking taylor expansion of beta in alpha
51.768 * [backup-simplify]: Simplify beta into beta
51.768 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.768 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
51.768 * [taylor]: Taking taylor expansion of beta in alpha
51.768 * [backup-simplify]: Simplify beta into beta
51.768 * [backup-simplify]: Simplify (+ 1 0) into 1
51.769 * [backup-simplify]: Simplify (+ 1 0) into 1
51.769 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
51.769 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
51.769 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
51.769 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
51.769 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
51.769 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
51.769 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
51.770 * [taylor]: Taking taylor expansion of alpha in alpha
51.770 * [backup-simplify]: Simplify 0 into 0
51.770 * [backup-simplify]: Simplify 1 into 1
51.770 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
51.770 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
51.770 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
51.770 * [taylor]: Taking taylor expansion of alpha in alpha
51.770 * [backup-simplify]: Simplify 0 into 0
51.770 * [backup-simplify]: Simplify 1 into 1
51.775 * [backup-simplify]: Simplify (/ 1 1) into 1
51.775 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
51.775 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
51.775 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.775 * [backup-simplify]: Simplify 2.0 into 2.0
51.775 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
51.775 * [taylor]: Taking taylor expansion of i in alpha
51.775 * [backup-simplify]: Simplify i into i
51.775 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.775 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
51.775 * [taylor]: Taking taylor expansion of beta in alpha
51.775 * [backup-simplify]: Simplify beta into beta
51.776 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.776 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
51.776 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
51.776 * [taylor]: Taking taylor expansion of alpha in alpha
51.776 * [backup-simplify]: Simplify 0 into 0
51.776 * [backup-simplify]: Simplify 1 into 1
51.776 * [backup-simplify]: Simplify (/ 1 1) into 1
51.776 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
51.776 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
51.776 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.776 * [backup-simplify]: Simplify 2.0 into 2.0
51.776 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
51.776 * [taylor]: Taking taylor expansion of i in alpha
51.776 * [backup-simplify]: Simplify i into i
51.776 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.776 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
51.776 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
51.777 * [taylor]: Taking taylor expansion of beta in alpha
51.777 * [backup-simplify]: Simplify beta into beta
51.777 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.777 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.777 * [backup-simplify]: Simplify 2.0 into 2.0
51.777 * [backup-simplify]: Simplify (* 1 1) into 1
51.777 * [backup-simplify]: Simplify (+ 1 0) into 1
51.778 * [backup-simplify]: Simplify (+ 1 0) into 1
51.778 * [backup-simplify]: Simplify (* 1 1) into 1
51.783 * [backup-simplify]: Simplify (* 1 1) into 1
51.784 * [backup-simplify]: Simplify (/ 1 1) into 1
51.784 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
51.784 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
51.784 * [taylor]: Taking taylor expansion of 1.0 in alpha
51.784 * [backup-simplify]: Simplify 1.0 into 1.0
51.784 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
51.784 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
51.784 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
51.784 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
51.784 * [taylor]: Taking taylor expansion of alpha in alpha
51.784 * [backup-simplify]: Simplify 0 into 0
51.784 * [backup-simplify]: Simplify 1 into 1
51.784 * [backup-simplify]: Simplify (/ 1 1) into 1
51.784 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
51.784 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
51.784 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.784 * [backup-simplify]: Simplify 2.0 into 2.0
51.784 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
51.784 * [taylor]: Taking taylor expansion of i in alpha
51.784 * [backup-simplify]: Simplify i into i
51.785 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.785 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
51.785 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
51.785 * [taylor]: Taking taylor expansion of beta in alpha
51.785 * [backup-simplify]: Simplify beta into beta
51.785 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.785 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.785 * [backup-simplify]: Simplify 2.0 into 2.0
51.785 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
51.785 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
51.785 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
51.785 * [taylor]: Taking taylor expansion of alpha in alpha
51.785 * [backup-simplify]: Simplify 0 into 0
51.785 * [backup-simplify]: Simplify 1 into 1
51.785 * [backup-simplify]: Simplify (/ 1 1) into 1
51.785 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
51.785 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
51.785 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.785 * [backup-simplify]: Simplify 2.0 into 2.0
51.785 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
51.785 * [taylor]: Taking taylor expansion of i in alpha
51.785 * [backup-simplify]: Simplify i into i
51.785 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.785 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
51.785 * [taylor]: Taking taylor expansion of beta in alpha
51.786 * [backup-simplify]: Simplify beta into beta
51.786 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.786 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
51.786 * [taylor]: Taking taylor expansion of beta in alpha
51.786 * [backup-simplify]: Simplify beta into beta
51.786 * [backup-simplify]: Simplify (+ 1 0) into 1
51.787 * [backup-simplify]: Simplify (+ 1 0) into 1
51.787 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
51.787 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
51.787 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
51.787 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
51.787 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
51.787 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
51.787 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
51.787 * [taylor]: Taking taylor expansion of alpha in alpha
51.787 * [backup-simplify]: Simplify 0 into 0
51.788 * [backup-simplify]: Simplify 1 into 1
51.788 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
51.788 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
51.788 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
51.788 * [taylor]: Taking taylor expansion of alpha in alpha
51.788 * [backup-simplify]: Simplify 0 into 0
51.788 * [backup-simplify]: Simplify 1 into 1
51.788 * [backup-simplify]: Simplify (/ 1 1) into 1
51.788 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
51.788 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
51.788 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.788 * [backup-simplify]: Simplify 2.0 into 2.0
51.788 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
51.788 * [taylor]: Taking taylor expansion of i in alpha
51.788 * [backup-simplify]: Simplify i into i
51.788 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.788 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
51.789 * [taylor]: Taking taylor expansion of beta in alpha
51.789 * [backup-simplify]: Simplify beta into beta
51.789 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.789 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
51.789 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
51.789 * [taylor]: Taking taylor expansion of alpha in alpha
51.789 * [backup-simplify]: Simplify 0 into 0
51.789 * [backup-simplify]: Simplify 1 into 1
51.789 * [backup-simplify]: Simplify (/ 1 1) into 1
51.789 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
51.789 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
51.789 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.789 * [backup-simplify]: Simplify 2.0 into 2.0
51.789 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
51.789 * [taylor]: Taking taylor expansion of i in alpha
51.789 * [backup-simplify]: Simplify i into i
51.789 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.790 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
51.790 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
51.790 * [taylor]: Taking taylor expansion of beta in alpha
51.790 * [backup-simplify]: Simplify beta into beta
51.790 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
51.790 * [taylor]: Taking taylor expansion of 2.0 in alpha
51.790 * [backup-simplify]: Simplify 2.0 into 2.0
51.790 * [backup-simplify]: Simplify (* 1 1) into 1
51.791 * [backup-simplify]: Simplify (+ 1 0) into 1
51.791 * [backup-simplify]: Simplify (+ 1 0) into 1
51.792 * [backup-simplify]: Simplify (* 1 1) into 1
51.792 * [backup-simplify]: Simplify (* 1 1) into 1
51.792 * [backup-simplify]: Simplify (/ 1 1) into 1
51.793 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
51.793 * [backup-simplify]: Simplify (- 1) into -1
51.794 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
51.794 * [taylor]: Taking taylor expansion of 0 in beta
51.794 * [backup-simplify]: Simplify 0 into 0
51.794 * [taylor]: Taking taylor expansion of 0 in i
51.794 * [backup-simplify]: Simplify 0 into 0
51.794 * [backup-simplify]: Simplify 0 into 0
51.794 * [backup-simplify]: Simplify (+ 0 0) into 0
51.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.796 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
51.796 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
51.796 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
51.797 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
51.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.798 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
51.798 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
51.798 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
51.798 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
51.799 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
51.799 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
51.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
51.800 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
51.800 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
51.800 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
51.800 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
51.800 * [taylor]: Taking taylor expansion of 4.0 in beta
51.800 * [backup-simplify]: Simplify 4.0 into 4.0
51.800 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
51.800 * [taylor]: Taking taylor expansion of i in beta
51.800 * [backup-simplify]: Simplify i into i
51.800 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.800 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
51.800 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
51.800 * [taylor]: Taking taylor expansion of 2 in beta
51.800 * [backup-simplify]: Simplify 2 into 2
51.800 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
51.800 * [taylor]: Taking taylor expansion of beta in beta
51.800 * [backup-simplify]: Simplify 0 into 0
51.800 * [backup-simplify]: Simplify 1 into 1
51.800 * [backup-simplify]: Simplify (/ 1 1) into 1
51.800 * [taylor]: Taking taylor expansion of 2.0 in beta
51.800 * [backup-simplify]: Simplify 2.0 into 2.0
51.800 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
51.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.801 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
51.802 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.802 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
51.802 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
51.802 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
51.802 * [taylor]: Taking taylor expansion of 4.0 in i
51.802 * [backup-simplify]: Simplify 4.0 into 4.0
51.802 * [taylor]: Taking taylor expansion of (/ 1 i) in i
51.802 * [taylor]: Taking taylor expansion of i in i
51.802 * [backup-simplify]: Simplify 0 into 0
51.802 * [backup-simplify]: Simplify 1 into 1
51.803 * [backup-simplify]: Simplify (/ 1 1) into 1
51.803 * [taylor]: Taking taylor expansion of 2.0 in i
51.803 * [backup-simplify]: Simplify 2.0 into 2.0
51.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.804 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
51.805 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
51.805 * [backup-simplify]: Simplify 2.0 into 2.0
51.806 * [taylor]: Taking taylor expansion of 0 in i
51.807 * [backup-simplify]: Simplify 0 into 0
51.807 * [backup-simplify]: Simplify 0 into 0
51.807 * [backup-simplify]: Simplify 0 into 0
51.807 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
51.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
51.809 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
51.809 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
51.810 * [backup-simplify]: Simplify (+ 0 0) into 0
51.810 * [backup-simplify]: Simplify (+ 0 0) into 0
51.811 * [backup-simplify]: Simplify (+ 0 0) into 0
51.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.812 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
51.813 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
51.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
51.813 * [backup-simplify]: Simplify (+ 0 0) into 0
51.814 * [backup-simplify]: Simplify (+ 0 0) into 0
51.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
51.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
51.818 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
51.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
51.822 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
51.824 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
51.824 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
51.824 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
51.824 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
51.824 * [taylor]: Taking taylor expansion of 2 in beta
51.824 * [backup-simplify]: Simplify 2 into 2
51.824 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
51.824 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.824 * [taylor]: Taking taylor expansion of beta in beta
51.824 * [backup-simplify]: Simplify 0 into 0
51.824 * [backup-simplify]: Simplify 1 into 1
51.825 * [backup-simplify]: Simplify (* 1 1) into 1
51.825 * [backup-simplify]: Simplify (/ 1 1) into 1
51.825 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
51.825 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
51.825 * [taylor]: Taking taylor expansion of 12.0 in beta
51.825 * [backup-simplify]: Simplify 12.0 into 12.0
51.825 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
51.825 * [taylor]: Taking taylor expansion of (pow i 2) in beta
51.825 * [taylor]: Taking taylor expansion of i in beta
51.826 * [backup-simplify]: Simplify i into i
51.826 * [backup-simplify]: Simplify (* i i) into (pow i 2)
51.826 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
51.826 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
51.826 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
51.826 * [taylor]: Taking taylor expansion of 6.0 in beta
51.826 * [backup-simplify]: Simplify 6.0 into 6.0
51.826 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
51.826 * [taylor]: Taking taylor expansion of beta in beta
51.826 * [backup-simplify]: Simplify 0 into 0
51.826 * [backup-simplify]: Simplify 1 into 1
51.826 * [backup-simplify]: Simplify (/ 1 1) into 1
51.826 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
51.827 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
51.827 * [taylor]: Taking taylor expansion of 12.0 in beta
51.827 * [backup-simplify]: Simplify 12.0 into 12.0
51.827 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
51.827 * [taylor]: Taking taylor expansion of i in beta
51.827 * [backup-simplify]: Simplify i into i
51.827 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.827 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
51.827 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
51.827 * [taylor]: Taking taylor expansion of 12.0 in beta
51.827 * [backup-simplify]: Simplify 12.0 into 12.0
51.827 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
51.827 * [taylor]: Taking taylor expansion of (* i beta) in beta
51.827 * [taylor]: Taking taylor expansion of i in beta
51.827 * [backup-simplify]: Simplify i into i
51.827 * [taylor]: Taking taylor expansion of beta in beta
51.827 * [backup-simplify]: Simplify 0 into 0
51.827 * [backup-simplify]: Simplify 1 into 1
51.827 * [backup-simplify]: Simplify (* i 0) into 0
51.828 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
51.828 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.828 * [taylor]: Taking taylor expansion of 4.0 in beta
51.828 * [backup-simplify]: Simplify 4.0 into 4.0
51.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
51.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
51.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.832 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
51.832 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
51.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.834 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
51.834 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
51.835 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
51.835 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
51.835 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
51.836 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
51.836 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
51.836 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
51.836 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
51.837 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
51.837 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
51.837 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
51.837 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
51.837 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
51.837 * [taylor]: Taking taylor expansion of 12.0 in i
51.837 * [backup-simplify]: Simplify 12.0 into 12.0
51.838 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
51.838 * [taylor]: Taking taylor expansion of (pow i 2) in i
51.838 * [taylor]: Taking taylor expansion of i in i
51.838 * [backup-simplify]: Simplify 0 into 0
51.838 * [backup-simplify]: Simplify 1 into 1
51.838 * [backup-simplify]: Simplify (* 1 1) into 1
51.838 * [backup-simplify]: Simplify (/ 1 1) into 1
51.839 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
51.839 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
51.839 * [taylor]: Taking taylor expansion of 12.0 in i
51.839 * [backup-simplify]: Simplify 12.0 into 12.0
51.839 * [taylor]: Taking taylor expansion of (/ 1 i) in i
51.839 * [taylor]: Taking taylor expansion of i in i
51.839 * [backup-simplify]: Simplify 0 into 0
51.839 * [backup-simplify]: Simplify 1 into 1
51.839 * [backup-simplify]: Simplify (/ 1 1) into 1
51.839 * [taylor]: Taking taylor expansion of 4.0 in i
51.839 * [backup-simplify]: Simplify 4.0 into 4.0
51.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
51.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
51.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.843 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
51.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.845 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
51.845 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
51.846 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
51.846 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
51.847 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
51.847 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
51.847 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
51.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.849 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
51.850 * [backup-simplify]: Simplify (+ 0 0) into 0
51.850 * [backup-simplify]: Simplify (+ 0 0) into 0
51.850 * [taylor]: Taking taylor expansion of 0 in i
51.850 * [backup-simplify]: Simplify 0 into 0
51.850 * [backup-simplify]: Simplify 0 into 0
51.850 * [taylor]: Taking taylor expansion of 0 in i
51.850 * [backup-simplify]: Simplify 0 into 0
51.850 * [backup-simplify]: Simplify 0 into 0
51.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.852 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
51.853 * [backup-simplify]: Simplify (+ 0 0) into 0
51.853 * [backup-simplify]: Simplify 0 into 0
51.853 * [backup-simplify]: Simplify 0 into 0
51.853 * [backup-simplify]: Simplify 0 into 0
51.853 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
51.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.854 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
51.854 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
51.854 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
51.855 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
51.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.856 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
51.856 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
51.856 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
51.857 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
51.857 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
51.858 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
51.860 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
51.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
51.862 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
51.862 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
51.862 * [backup-simplify]: Simplify (+ 0 0) into 0
51.863 * [backup-simplify]: Simplify (+ 0 0) into 0
51.863 * [backup-simplify]: Simplify (+ 0 0) into 0
51.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
51.865 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
51.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
51.866 * [backup-simplify]: Simplify (+ 0 0) into 0
51.866 * [backup-simplify]: Simplify (+ 0 0) into 0
51.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
51.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
51.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
51.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
51.879 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
51.925 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
51.925 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
51.925 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
51.925 * [taylor]: Taking taylor expansion of 20.0 in beta
51.925 * [backup-simplify]: Simplify 20.0 into 20.0
51.925 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
51.925 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
51.925 * [taylor]: Taking taylor expansion of i in beta
51.925 * [backup-simplify]: Simplify i into i
51.925 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.925 * [taylor]: Taking taylor expansion of beta in beta
51.925 * [backup-simplify]: Simplify 0 into 0
51.925 * [backup-simplify]: Simplify 1 into 1
51.926 * [backup-simplify]: Simplify (* 1 1) into 1
51.926 * [backup-simplify]: Simplify (* i 1) into i
51.926 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.926 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
51.926 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
51.926 * [taylor]: Taking taylor expansion of 48.0 in beta
51.926 * [backup-simplify]: Simplify 48.0 into 48.0
51.926 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
51.934 * [taylor]: Taking taylor expansion of (pow i 2) in beta
51.934 * [taylor]: Taking taylor expansion of i in beta
51.934 * [backup-simplify]: Simplify i into i
51.935 * [backup-simplify]: Simplify (* i i) into (pow i 2)
51.935 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
51.935 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
51.935 * [taylor]: Taking taylor expansion of 8.0 in beta
51.935 * [backup-simplify]: Simplify 8.0 into 8.0
51.935 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
51.935 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
51.935 * [taylor]: Taking taylor expansion of 10.0 in beta
51.935 * [backup-simplify]: Simplify 10.0 into 10.0
51.935 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
51.935 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
51.935 * [taylor]: Taking taylor expansion of beta in beta
51.935 * [backup-simplify]: Simplify 0 into 0
51.935 * [backup-simplify]: Simplify 1 into 1
51.936 * [backup-simplify]: Simplify (* 1 1) into 1
51.936 * [backup-simplify]: Simplify (/ 1 1) into 1
51.936 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
51.936 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
51.936 * [taylor]: Taking taylor expansion of 48.0 in beta
51.936 * [backup-simplify]: Simplify 48.0 into 48.0
51.936 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
51.936 * [taylor]: Taking taylor expansion of (* i beta) in beta
51.936 * [taylor]: Taking taylor expansion of i in beta
51.937 * [backup-simplify]: Simplify i into i
51.937 * [taylor]: Taking taylor expansion of beta in beta
51.937 * [backup-simplify]: Simplify 0 into 0
51.937 * [backup-simplify]: Simplify 1 into 1
51.937 * [backup-simplify]: Simplify (* i 0) into 0
51.937 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
51.938 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.938 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
51.938 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
51.938 * [taylor]: Taking taylor expansion of 2 in beta
51.938 * [backup-simplify]: Simplify 2 into 2
51.938 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
51.938 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
51.938 * [taylor]: Taking taylor expansion of beta in beta
51.938 * [backup-simplify]: Simplify 0 into 0
51.938 * [backup-simplify]: Simplify 1 into 1
51.943 * [backup-simplify]: Simplify (* 1 1) into 1
51.943 * [backup-simplify]: Simplify (* 1 1) into 1
51.944 * [backup-simplify]: Simplify (/ 1 1) into 1
51.944 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
51.944 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
51.944 * [taylor]: Taking taylor expansion of 48.0 in beta
51.944 * [backup-simplify]: Simplify 48.0 into 48.0
51.944 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
51.944 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
51.944 * [taylor]: Taking taylor expansion of (pow i 2) in beta
51.944 * [taylor]: Taking taylor expansion of i in beta
51.944 * [backup-simplify]: Simplify i into i
51.944 * [taylor]: Taking taylor expansion of beta in beta
51.944 * [backup-simplify]: Simplify 0 into 0
51.944 * [backup-simplify]: Simplify 1 into 1
51.944 * [backup-simplify]: Simplify (* i i) into (pow i 2)
51.944 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
51.944 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
51.945 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
51.946 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
51.946 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
51.946 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
51.946 * [taylor]: Taking taylor expansion of 32.0 in beta
51.946 * [backup-simplify]: Simplify 32.0 into 32.0
51.946 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
51.946 * [taylor]: Taking taylor expansion of i in beta
51.946 * [backup-simplify]: Simplify i into i
51.946 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
51.946 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
51.946 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
51.946 * [taylor]: Taking taylor expansion of 16.0 in beta
51.946 * [backup-simplify]: Simplify 16.0 into 16.0
51.946 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
51.946 * [taylor]: Taking taylor expansion of beta in beta
51.946 * [backup-simplify]: Simplify 0 into 0
51.946 * [backup-simplify]: Simplify 1 into 1
51.947 * [backup-simplify]: Simplify (/ 1 1) into 1
51.947 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
51.947 * [taylor]: Taking taylor expansion of 32.0 in beta
51.947 * [backup-simplify]: Simplify 32.0 into 32.0
51.947 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
51.947 * [taylor]: Taking taylor expansion of (pow i 3) in beta
51.947 * [taylor]: Taking taylor expansion of i in beta
51.947 * [backup-simplify]: Simplify i into i
51.947 * [backup-simplify]: Simplify (* i i) into (pow i 2)
51.947 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
51.947 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
51.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
51.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
51.956 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
51.956 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
51.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
51.957 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
51.958 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
51.958 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
51.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
51.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
51.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.973 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
51.974 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
51.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
51.979 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
51.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
51.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
51.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
51.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
51.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
51.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
51.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
51.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
51.996 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
51.997 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
51.998 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
51.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
52.003 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
52.003 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
52.004 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.030 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
52.030 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
52.030 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
52.031 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
52.031 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
52.031 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
52.032 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
52.032 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
52.033 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
52.033 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
52.034 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
52.034 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
52.034 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
52.034 * [taylor]: Taking taylor expansion of 48.0 in i
52.034 * [backup-simplify]: Simplify 48.0 into 48.0
52.034 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
52.034 * [taylor]: Taking taylor expansion of (pow i 2) in i
52.035 * [taylor]: Taking taylor expansion of i in i
52.035 * [backup-simplify]: Simplify 0 into 0
52.035 * [backup-simplify]: Simplify 1 into 1
52.038 * [backup-simplify]: Simplify (* 1 1) into 1
52.038 * [backup-simplify]: Simplify (/ 1 1) into 1
52.038 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
52.038 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
52.039 * [taylor]: Taking taylor expansion of 32.0 in i
52.039 * [backup-simplify]: Simplify 32.0 into 32.0
52.039 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
52.039 * [taylor]: Taking taylor expansion of (pow i 3) in i
52.039 * [taylor]: Taking taylor expansion of i in i
52.039 * [backup-simplify]: Simplify 0 into 0
52.039 * [backup-simplify]: Simplify 1 into 1
52.039 * [backup-simplify]: Simplify (* 1 1) into 1
52.039 * [backup-simplify]: Simplify (* 1 1) into 1
52.040 * [backup-simplify]: Simplify (/ 1 1) into 1
52.040 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
52.040 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
52.040 * [taylor]: Taking taylor expansion of 32.0 in i
52.040 * [backup-simplify]: Simplify 32.0 into 32.0
52.040 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.040 * [taylor]: Taking taylor expansion of i in i
52.040 * [backup-simplify]: Simplify 0 into 0
52.040 * [backup-simplify]: Simplify 1 into 1
52.040 * [backup-simplify]: Simplify (/ 1 1) into 1
52.041 * [taylor]: Taking taylor expansion of 8.0 in i
52.041 * [backup-simplify]: Simplify 8.0 into 8.0
52.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.063 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
52.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
52.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
52.068 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.071 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.072 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
52.073 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.079 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
52.080 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
52.080 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
52.080 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
52.080 * [backup-simplify]: Simplify 8.0 into 8.0
52.082 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
52.084 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
52.084 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
52.084 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
52.084 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
52.084 * [taylor]: Taking taylor expansion of 1.0 in i
52.084 * [backup-simplify]: Simplify 1.0 into 1.0
52.084 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
52.085 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
52.085 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
52.085 * [taylor]: Taking taylor expansion of alpha in i
52.085 * [backup-simplify]: Simplify alpha into alpha
52.085 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
52.085 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
52.085 * [taylor]: Taking taylor expansion of 2.0 in i
52.085 * [backup-simplify]: Simplify 2.0 into 2.0
52.085 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
52.085 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
52.085 * [taylor]: Taking taylor expansion of alpha in i
52.085 * [backup-simplify]: Simplify alpha into alpha
52.085 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.085 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
52.085 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
52.085 * [taylor]: Taking taylor expansion of 2.0 in i
52.085 * [backup-simplify]: Simplify 2.0 into 2.0
52.085 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.085 * [taylor]: Taking taylor expansion of i in i
52.085 * [backup-simplify]: Simplify 0 into 0
52.085 * [backup-simplify]: Simplify 1 into 1
52.086 * [backup-simplify]: Simplify (/ 1 1) into 1
52.086 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
52.086 * [taylor]: Taking taylor expansion of beta in i
52.086 * [backup-simplify]: Simplify beta into beta
52.086 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.086 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
52.086 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
52.086 * [taylor]: Taking taylor expansion of alpha in i
52.086 * [backup-simplify]: Simplify alpha into alpha
52.086 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.086 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
52.086 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
52.086 * [taylor]: Taking taylor expansion of 2.0 in i
52.086 * [backup-simplify]: Simplify 2.0 into 2.0
52.086 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.086 * [taylor]: Taking taylor expansion of i in i
52.087 * [backup-simplify]: Simplify 0 into 0
52.087 * [backup-simplify]: Simplify 1 into 1
52.087 * [backup-simplify]: Simplify (/ 1 1) into 1
52.087 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
52.087 * [taylor]: Taking taylor expansion of beta in i
52.087 * [backup-simplify]: Simplify beta into beta
52.087 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.087 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
52.088 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
52.088 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
52.089 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.089 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
52.090 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
52.091 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
52.091 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
52.091 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.092 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
52.093 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
52.093 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
52.093 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
52.093 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
52.093 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
52.093 * [taylor]: Taking taylor expansion of 2.0 in i
52.093 * [backup-simplify]: Simplify 2.0 into 2.0
52.093 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
52.093 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
52.093 * [taylor]: Taking taylor expansion of alpha in i
52.093 * [backup-simplify]: Simplify alpha into alpha
52.093 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.093 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
52.093 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
52.093 * [taylor]: Taking taylor expansion of 2.0 in i
52.093 * [backup-simplify]: Simplify 2.0 into 2.0
52.093 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.093 * [taylor]: Taking taylor expansion of i in i
52.093 * [backup-simplify]: Simplify 0 into 0
52.093 * [backup-simplify]: Simplify 1 into 1
52.094 * [backup-simplify]: Simplify (/ 1 1) into 1
52.094 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
52.094 * [taylor]: Taking taylor expansion of beta in i
52.094 * [backup-simplify]: Simplify beta into beta
52.094 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.094 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
52.094 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
52.094 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
52.094 * [taylor]: Taking taylor expansion of alpha in i
52.094 * [backup-simplify]: Simplify alpha into alpha
52.094 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.094 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
52.094 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
52.094 * [taylor]: Taking taylor expansion of 2.0 in i
52.094 * [backup-simplify]: Simplify 2.0 into 2.0
52.094 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.095 * [taylor]: Taking taylor expansion of i in i
52.095 * [backup-simplify]: Simplify 0 into 0
52.095 * [backup-simplify]: Simplify 1 into 1
52.095 * [backup-simplify]: Simplify (/ 1 1) into 1
52.095 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
52.095 * [taylor]: Taking taylor expansion of beta in i
52.095 * [backup-simplify]: Simplify beta into beta
52.095 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.095 * [taylor]: Taking taylor expansion of (pow beta 2) in i
52.095 * [taylor]: Taking taylor expansion of beta in i
52.095 * [backup-simplify]: Simplify beta into beta
52.096 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
52.096 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
52.097 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.097 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
52.098 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
52.099 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
52.099 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
52.099 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.100 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
52.100 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
52.100 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
52.100 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
52.101 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
52.101 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
52.101 * [taylor]: Taking taylor expansion of 1.0 in beta
52.101 * [backup-simplify]: Simplify 1.0 into 1.0
52.101 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
52.101 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
52.101 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
52.101 * [taylor]: Taking taylor expansion of alpha in beta
52.101 * [backup-simplify]: Simplify alpha into alpha
52.101 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
52.101 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
52.101 * [taylor]: Taking taylor expansion of 2.0 in beta
52.101 * [backup-simplify]: Simplify 2.0 into 2.0
52.101 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
52.101 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
52.101 * [taylor]: Taking taylor expansion of alpha in beta
52.101 * [backup-simplify]: Simplify alpha into alpha
52.101 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.101 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
52.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
52.101 * [taylor]: Taking taylor expansion of 2.0 in beta
52.101 * [backup-simplify]: Simplify 2.0 into 2.0
52.101 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.101 * [taylor]: Taking taylor expansion of i in beta
52.101 * [backup-simplify]: Simplify i into i
52.102 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.102 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.102 * [taylor]: Taking taylor expansion of beta in beta
52.102 * [backup-simplify]: Simplify 0 into 0
52.102 * [backup-simplify]: Simplify 1 into 1
52.102 * [backup-simplify]: Simplify (/ 1 1) into 1
52.102 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
52.102 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
52.102 * [taylor]: Taking taylor expansion of alpha in beta
52.102 * [backup-simplify]: Simplify alpha into alpha
52.102 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.102 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
52.102 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
52.102 * [taylor]: Taking taylor expansion of 2.0 in beta
52.102 * [backup-simplify]: Simplify 2.0 into 2.0
52.103 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.103 * [taylor]: Taking taylor expansion of i in beta
52.103 * [backup-simplify]: Simplify i into i
52.103 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.103 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.103 * [taylor]: Taking taylor expansion of beta in beta
52.103 * [backup-simplify]: Simplify 0 into 0
52.103 * [backup-simplify]: Simplify 1 into 1
52.103 * [backup-simplify]: Simplify (/ 1 1) into 1
52.103 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
52.107 * [backup-simplify]: Simplify (+ 0 1) into 1
52.111 * [backup-simplify]: Simplify (+ 0 1) into 1
52.111 * [backup-simplify]: Simplify (- 1) into -1
52.112 * [backup-simplify]: Simplify (+ 0 -1) into -1
52.112 * [backup-simplify]: Simplify (+ 0 1) into 1
52.113 * [backup-simplify]: Simplify (+ 0 1) into 1
52.116 * [backup-simplify]: Simplify (* -1 1) into -1
52.116 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
52.116 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
52.116 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
52.116 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
52.116 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
52.116 * [taylor]: Taking taylor expansion of 2.0 in beta
52.116 * [backup-simplify]: Simplify 2.0 into 2.0
52.116 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
52.116 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
52.116 * [taylor]: Taking taylor expansion of alpha in beta
52.116 * [backup-simplify]: Simplify alpha into alpha
52.116 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.116 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
52.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
52.117 * [taylor]: Taking taylor expansion of 2.0 in beta
52.117 * [backup-simplify]: Simplify 2.0 into 2.0
52.117 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.117 * [taylor]: Taking taylor expansion of i in beta
52.117 * [backup-simplify]: Simplify i into i
52.117 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.117 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.117 * [taylor]: Taking taylor expansion of beta in beta
52.117 * [backup-simplify]: Simplify 0 into 0
52.117 * [backup-simplify]: Simplify 1 into 1
52.117 * [backup-simplify]: Simplify (/ 1 1) into 1
52.117 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
52.117 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
52.118 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
52.118 * [taylor]: Taking taylor expansion of alpha in beta
52.118 * [backup-simplify]: Simplify alpha into alpha
52.118 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.118 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
52.118 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
52.118 * [taylor]: Taking taylor expansion of 2.0 in beta
52.118 * [backup-simplify]: Simplify 2.0 into 2.0
52.118 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.118 * [taylor]: Taking taylor expansion of i in beta
52.118 * [backup-simplify]: Simplify i into i
52.118 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.118 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.118 * [taylor]: Taking taylor expansion of beta in beta
52.118 * [backup-simplify]: Simplify 0 into 0
52.118 * [backup-simplify]: Simplify 1 into 1
52.118 * [backup-simplify]: Simplify (/ 1 1) into 1
52.119 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.119 * [taylor]: Taking taylor expansion of beta in beta
52.119 * [backup-simplify]: Simplify 0 into 0
52.119 * [backup-simplify]: Simplify 1 into 1
52.119 * [backup-simplify]: Simplify (+ 0 1) into 1
52.119 * [backup-simplify]: Simplify (+ 0 1) into 1
52.120 * [backup-simplify]: Simplify (- 1) into -1
52.120 * [backup-simplify]: Simplify (+ 0 -1) into -1
52.121 * [backup-simplify]: Simplify (+ 0 1) into 1
52.121 * [backup-simplify]: Simplify (+ 0 1) into 1
52.121 * [backup-simplify]: Simplify (* 1 1) into 1
52.122 * [backup-simplify]: Simplify (* 1 1) into 1
52.122 * [backup-simplify]: Simplify (* -1 1) into -1
52.123 * [backup-simplify]: Simplify (/ 1 -1) into -1
52.123 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
52.123 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
52.123 * [taylor]: Taking taylor expansion of 1.0 in alpha
52.123 * [backup-simplify]: Simplify 1.0 into 1.0
52.123 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
52.123 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
52.123 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
52.123 * [taylor]: Taking taylor expansion of alpha in alpha
52.123 * [backup-simplify]: Simplify 0 into 0
52.123 * [backup-simplify]: Simplify 1 into 1
52.123 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
52.123 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
52.123 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.123 * [backup-simplify]: Simplify 2.0 into 2.0
52.123 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.123 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.123 * [taylor]: Taking taylor expansion of alpha in alpha
52.123 * [backup-simplify]: Simplify 0 into 0
52.123 * [backup-simplify]: Simplify 1 into 1
52.124 * [backup-simplify]: Simplify (/ 1 1) into 1
52.124 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.124 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.124 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.124 * [backup-simplify]: Simplify 2.0 into 2.0
52.124 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.124 * [taylor]: Taking taylor expansion of i in alpha
52.124 * [backup-simplify]: Simplify i into i
52.124 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.124 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.124 * [taylor]: Taking taylor expansion of beta in alpha
52.124 * [backup-simplify]: Simplify beta into beta
52.124 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.124 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.124 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.124 * [taylor]: Taking taylor expansion of alpha in alpha
52.124 * [backup-simplify]: Simplify 0 into 0
52.124 * [backup-simplify]: Simplify 1 into 1
52.125 * [backup-simplify]: Simplify (/ 1 1) into 1
52.125 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.125 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.125 * [backup-simplify]: Simplify 2.0 into 2.0
52.125 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.125 * [taylor]: Taking taylor expansion of i in alpha
52.125 * [backup-simplify]: Simplify i into i
52.125 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.125 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.125 * [taylor]: Taking taylor expansion of beta in alpha
52.125 * [backup-simplify]: Simplify beta into beta
52.125 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.126 * [backup-simplify]: Simplify (* 1 1) into 1
52.126 * [backup-simplify]: Simplify (+ 1 0) into 1
52.127 * [backup-simplify]: Simplify (- 1) into -1
52.127 * [backup-simplify]: Simplify (+ 0 -1) into -1
52.128 * [backup-simplify]: Simplify (+ 1 0) into 1
52.128 * [backup-simplify]: Simplify (* -1 1) into -1
52.129 * [backup-simplify]: Simplify (* 1 -1) into -1
52.129 * [backup-simplify]: Simplify (/ 1 -1) into -1
52.129 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
52.129 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
52.129 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
52.130 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.130 * [backup-simplify]: Simplify 2.0 into 2.0
52.130 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.130 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.130 * [taylor]: Taking taylor expansion of alpha in alpha
52.130 * [backup-simplify]: Simplify 0 into 0
52.130 * [backup-simplify]: Simplify 1 into 1
52.130 * [backup-simplify]: Simplify (/ 1 1) into 1
52.130 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.130 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.130 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.130 * [backup-simplify]: Simplify 2.0 into 2.0
52.131 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.131 * [taylor]: Taking taylor expansion of i in alpha
52.131 * [backup-simplify]: Simplify i into i
52.131 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.131 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.131 * [taylor]: Taking taylor expansion of beta in alpha
52.131 * [backup-simplify]: Simplify beta into beta
52.131 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.131 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
52.131 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.131 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.131 * [taylor]: Taking taylor expansion of alpha in alpha
52.131 * [backup-simplify]: Simplify 0 into 0
52.131 * [backup-simplify]: Simplify 1 into 1
52.132 * [backup-simplify]: Simplify (/ 1 1) into 1
52.132 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.132 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.132 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.132 * [backup-simplify]: Simplify 2.0 into 2.0
52.132 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.132 * [taylor]: Taking taylor expansion of i in alpha
52.132 * [backup-simplify]: Simplify i into i
52.132 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.132 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.132 * [taylor]: Taking taylor expansion of beta in alpha
52.132 * [backup-simplify]: Simplify beta into beta
52.132 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.132 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
52.132 * [taylor]: Taking taylor expansion of beta in alpha
52.132 * [backup-simplify]: Simplify beta into beta
52.133 * [backup-simplify]: Simplify (+ 1 0) into 1
52.137 * [backup-simplify]: Simplify (- 1) into -1
52.138 * [backup-simplify]: Simplify (+ 0 -1) into -1
52.138 * [backup-simplify]: Simplify (+ 1 0) into 1
52.138 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
52.139 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
52.139 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
52.139 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
52.139 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
52.139 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
52.139 * [taylor]: Taking taylor expansion of 1.0 in alpha
52.139 * [backup-simplify]: Simplify 1.0 into 1.0
52.139 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
52.139 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
52.139 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
52.139 * [taylor]: Taking taylor expansion of alpha in alpha
52.139 * [backup-simplify]: Simplify 0 into 0
52.139 * [backup-simplify]: Simplify 1 into 1
52.139 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
52.139 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
52.139 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.139 * [backup-simplify]: Simplify 2.0 into 2.0
52.139 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.139 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.139 * [taylor]: Taking taylor expansion of alpha in alpha
52.140 * [backup-simplify]: Simplify 0 into 0
52.140 * [backup-simplify]: Simplify 1 into 1
52.140 * [backup-simplify]: Simplify (/ 1 1) into 1
52.140 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.140 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.140 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.140 * [backup-simplify]: Simplify 2.0 into 2.0
52.140 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.140 * [taylor]: Taking taylor expansion of i in alpha
52.140 * [backup-simplify]: Simplify i into i
52.140 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.140 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.141 * [taylor]: Taking taylor expansion of beta in alpha
52.141 * [backup-simplify]: Simplify beta into beta
52.141 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.141 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.141 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.141 * [taylor]: Taking taylor expansion of alpha in alpha
52.141 * [backup-simplify]: Simplify 0 into 0
52.141 * [backup-simplify]: Simplify 1 into 1
52.142 * [backup-simplify]: Simplify (/ 1 1) into 1
52.142 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.142 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.142 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.142 * [backup-simplify]: Simplify 2.0 into 2.0
52.142 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.142 * [taylor]: Taking taylor expansion of i in alpha
52.142 * [backup-simplify]: Simplify i into i
52.142 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.142 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.142 * [taylor]: Taking taylor expansion of beta in alpha
52.142 * [backup-simplify]: Simplify beta into beta
52.142 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.143 * [backup-simplify]: Simplify (* 1 1) into 1
52.144 * [backup-simplify]: Simplify (+ 1 0) into 1
52.144 * [backup-simplify]: Simplify (- 1) into -1
52.145 * [backup-simplify]: Simplify (+ 0 -1) into -1
52.145 * [backup-simplify]: Simplify (+ 1 0) into 1
52.147 * [backup-simplify]: Simplify (* -1 1) into -1
52.147 * [backup-simplify]: Simplify (* 1 -1) into -1
52.148 * [backup-simplify]: Simplify (/ 1 -1) into -1
52.148 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
52.148 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
52.148 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
52.148 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.148 * [backup-simplify]: Simplify 2.0 into 2.0
52.148 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.148 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.148 * [taylor]: Taking taylor expansion of alpha in alpha
52.148 * [backup-simplify]: Simplify 0 into 0
52.148 * [backup-simplify]: Simplify 1 into 1
52.149 * [backup-simplify]: Simplify (/ 1 1) into 1
52.149 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.149 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.149 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.149 * [backup-simplify]: Simplify 2.0 into 2.0
52.149 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.149 * [taylor]: Taking taylor expansion of i in alpha
52.149 * [backup-simplify]: Simplify i into i
52.149 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.149 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.149 * [taylor]: Taking taylor expansion of beta in alpha
52.149 * [backup-simplify]: Simplify beta into beta
52.149 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.149 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
52.149 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.150 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.150 * [taylor]: Taking taylor expansion of alpha in alpha
52.150 * [backup-simplify]: Simplify 0 into 0
52.150 * [backup-simplify]: Simplify 1 into 1
52.150 * [backup-simplify]: Simplify (/ 1 1) into 1
52.150 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.151 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.151 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.151 * [backup-simplify]: Simplify 2.0 into 2.0
52.151 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.151 * [taylor]: Taking taylor expansion of i in alpha
52.151 * [backup-simplify]: Simplify i into i
52.151 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.151 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.151 * [taylor]: Taking taylor expansion of beta in alpha
52.151 * [backup-simplify]: Simplify beta into beta
52.151 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.151 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
52.151 * [taylor]: Taking taylor expansion of beta in alpha
52.151 * [backup-simplify]: Simplify beta into beta
52.152 * [backup-simplify]: Simplify (+ 1 0) into 1
52.152 * [backup-simplify]: Simplify (- 1) into -1
52.153 * [backup-simplify]: Simplify (+ 0 -1) into -1
52.153 * [backup-simplify]: Simplify (+ 1 0) into 1
52.153 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
52.153 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
52.154 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
52.154 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
52.154 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
52.155 * [backup-simplify]: Simplify (+ 0 0) into 0
52.155 * [taylor]: Taking taylor expansion of 0 in beta
52.155 * [backup-simplify]: Simplify 0 into 0
52.155 * [taylor]: Taking taylor expansion of 0 in i
52.155 * [backup-simplify]: Simplify 0 into 0
52.155 * [backup-simplify]: Simplify 0 into 0
52.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.156 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
52.156 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.156 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.157 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
52.157 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.158 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.158 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
52.158 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
52.159 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
52.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.160 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
52.161 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
52.161 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
52.161 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
52.161 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
52.161 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
52.161 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
52.162 * [taylor]: Taking taylor expansion of 4.0 in beta
52.162 * [backup-simplify]: Simplify 4.0 into 4.0
52.162 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.162 * [taylor]: Taking taylor expansion of i in beta
52.162 * [backup-simplify]: Simplify i into i
52.162 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.162 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
52.162 * [taylor]: Taking taylor expansion of 2 in beta
52.162 * [backup-simplify]: Simplify 2 into 2
52.162 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.162 * [taylor]: Taking taylor expansion of beta in beta
52.162 * [backup-simplify]: Simplify 0 into 0
52.162 * [backup-simplify]: Simplify 1 into 1
52.163 * [backup-simplify]: Simplify (/ 1 1) into 1
52.163 * [taylor]: Taking taylor expansion of 2.0 in beta
52.163 * [backup-simplify]: Simplify 2.0 into 2.0
52.163 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
52.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.164 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
52.164 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
52.165 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
52.165 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
52.165 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
52.165 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
52.165 * [taylor]: Taking taylor expansion of 4.0 in i
52.165 * [backup-simplify]: Simplify 4.0 into 4.0
52.165 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.165 * [taylor]: Taking taylor expansion of i in i
52.165 * [backup-simplify]: Simplify 0 into 0
52.165 * [backup-simplify]: Simplify 1 into 1
52.166 * [backup-simplify]: Simplify (/ 1 1) into 1
52.166 * [taylor]: Taking taylor expansion of 2.0 in i
52.166 * [backup-simplify]: Simplify 2.0 into 2.0
52.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.167 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
52.168 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
52.169 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
52.169 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
52.169 * [taylor]: Taking taylor expansion of 0 in i
52.169 * [backup-simplify]: Simplify 0 into 0
52.169 * [backup-simplify]: Simplify 0 into 0
52.169 * [backup-simplify]: Simplify 0 into 0
52.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
52.171 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
52.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
52.172 * [backup-simplify]: Simplify (+ 0 0) into 0
52.172 * [backup-simplify]: Simplify (+ 0 0) into 0
52.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
52.174 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
52.174 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
52.174 * [backup-simplify]: Simplify (+ 0 0) into 0
52.175 * [backup-simplify]: Simplify (+ 0 0) into 0
52.175 * [backup-simplify]: Simplify (- 0) into 0
52.175 * [backup-simplify]: Simplify (+ 0 0) into 0
52.177 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
52.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.180 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
52.182 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
52.183 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
52.183 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
52.185 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
52.185 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
52.185 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
52.185 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
52.185 * [taylor]: Taking taylor expansion of 12.0 in beta
52.185 * [backup-simplify]: Simplify 12.0 into 12.0
52.185 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.185 * [taylor]: Taking taylor expansion of i in beta
52.185 * [backup-simplify]: Simplify i into i
52.185 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.185 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
52.185 * [taylor]: Taking taylor expansion of 6.0 in beta
52.185 * [backup-simplify]: Simplify 6.0 into 6.0
52.185 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.185 * [taylor]: Taking taylor expansion of beta in beta
52.185 * [backup-simplify]: Simplify 0 into 0
52.185 * [backup-simplify]: Simplify 1 into 1
52.186 * [backup-simplify]: Simplify (/ 1 1) into 1
52.186 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
52.186 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
52.186 * [taylor]: Taking taylor expansion of 12.0 in beta
52.186 * [backup-simplify]: Simplify 12.0 into 12.0
52.186 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
52.186 * [taylor]: Taking taylor expansion of (pow i 2) in beta
52.186 * [taylor]: Taking taylor expansion of i in beta
52.186 * [backup-simplify]: Simplify i into i
52.186 * [backup-simplify]: Simplify (* i i) into (pow i 2)
52.186 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
52.186 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
52.186 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
52.186 * [taylor]: Taking taylor expansion of 12.0 in beta
52.186 * [backup-simplify]: Simplify 12.0 into 12.0
52.186 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
52.186 * [taylor]: Taking taylor expansion of (* i beta) in beta
52.186 * [taylor]: Taking taylor expansion of i in beta
52.186 * [backup-simplify]: Simplify i into i
52.187 * [taylor]: Taking taylor expansion of beta in beta
52.187 * [backup-simplify]: Simplify 0 into 0
52.187 * [backup-simplify]: Simplify 1 into 1
52.187 * [backup-simplify]: Simplify (* i 0) into 0
52.187 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
52.187 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.187 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
52.187 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
52.187 * [taylor]: Taking taylor expansion of 2 in beta
52.187 * [backup-simplify]: Simplify 2 into 2
52.187 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
52.187 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.187 * [taylor]: Taking taylor expansion of beta in beta
52.187 * [backup-simplify]: Simplify 0 into 0
52.187 * [backup-simplify]: Simplify 1 into 1
52.188 * [backup-simplify]: Simplify (* 1 1) into 1
52.189 * [backup-simplify]: Simplify (/ 1 1) into 1
52.189 * [taylor]: Taking taylor expansion of 4.0 in beta
52.189 * [backup-simplify]: Simplify 4.0 into 4.0
52.189 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
52.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.191 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
52.191 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
52.191 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
52.192 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
52.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
52.193 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
52.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.197 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
52.197 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
52.198 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
52.198 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
52.198 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
52.198 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
52.198 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
52.198 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
52.198 * [taylor]: Taking taylor expansion of 12.0 in i
52.198 * [backup-simplify]: Simplify 12.0 into 12.0
52.198 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.198 * [taylor]: Taking taylor expansion of i in i
52.198 * [backup-simplify]: Simplify 0 into 0
52.198 * [backup-simplify]: Simplify 1 into 1
52.199 * [backup-simplify]: Simplify (/ 1 1) into 1
52.199 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
52.199 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
52.199 * [taylor]: Taking taylor expansion of 12.0 in i
52.199 * [backup-simplify]: Simplify 12.0 into 12.0
52.199 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
52.199 * [taylor]: Taking taylor expansion of (pow i 2) in i
52.199 * [taylor]: Taking taylor expansion of i in i
52.199 * [backup-simplify]: Simplify 0 into 0
52.199 * [backup-simplify]: Simplify 1 into 1
52.199 * [backup-simplify]: Simplify (* 1 1) into 1
52.199 * [backup-simplify]: Simplify (/ 1 1) into 1
52.199 * [taylor]: Taking taylor expansion of 4.0 in i
52.199 * [backup-simplify]: Simplify 4.0 into 4.0
52.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.201 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
52.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.206 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
52.207 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
52.207 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
52.208 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
52.209 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
52.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
52.209 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
52.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.211 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
52.212 * [backup-simplify]: Simplify (+ 0 0) into 0
52.212 * [backup-simplify]: Simplify (- 0) into 0
52.212 * [backup-simplify]: Simplify (+ 0 0) into 0
52.212 * [taylor]: Taking taylor expansion of 0 in i
52.212 * [backup-simplify]: Simplify 0 into 0
52.212 * [backup-simplify]: Simplify 0 into 0
52.212 * [taylor]: Taking taylor expansion of 0 in i
52.212 * [backup-simplify]: Simplify 0 into 0
52.212 * [backup-simplify]: Simplify 0 into 0
52.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.214 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
52.215 * [backup-simplify]: Simplify (- 0) into 0
52.215 * [backup-simplify]: Simplify (+ 0 0) into 0
52.215 * [backup-simplify]: Simplify 0 into 0
52.215 * [backup-simplify]: Simplify 0 into 0
52.215 * [backup-simplify]: Simplify 0 into 0
52.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
52.218 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
52.219 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
52.219 * [backup-simplify]: Simplify (+ 0 0) into 0
52.220 * [backup-simplify]: Simplify (+ 0 0) into 0
52.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
52.224 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
52.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
52.228 * [backup-simplify]: Simplify (+ 0 0) into 0
52.235 * [backup-simplify]: Simplify (+ 0 0) into 0
52.238 * [backup-simplify]: Simplify (- 0) into 0
52.243 * [backup-simplify]: Simplify (+ 0 0) into 0
52.245 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
52.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
52.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
52.252 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
52.255 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
52.255 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
52.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.272 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
52.273 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.273 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.277 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
52.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.283 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
52.284 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.284 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.284 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
52.284 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
52.285 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
52.286 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
52.287 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
52.291 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
52.291 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
52.291 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
52.291 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
52.291 * [taylor]: Taking taylor expansion of 20.0 in beta
52.291 * [backup-simplify]: Simplify 20.0 into 20.0
52.291 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
52.291 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
52.291 * [taylor]: Taking taylor expansion of i in beta
52.291 * [backup-simplify]: Simplify i into i
52.291 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.291 * [taylor]: Taking taylor expansion of beta in beta
52.291 * [backup-simplify]: Simplify 0 into 0
52.291 * [backup-simplify]: Simplify 1 into 1
52.298 * [backup-simplify]: Simplify (* 1 1) into 1
52.298 * [backup-simplify]: Simplify (* i 1) into i
52.298 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.298 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
52.299 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
52.299 * [taylor]: Taking taylor expansion of 2 in beta
52.299 * [backup-simplify]: Simplify 2 into 2
52.299 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
52.299 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
52.299 * [taylor]: Taking taylor expansion of beta in beta
52.299 * [backup-simplify]: Simplify 0 into 0
52.299 * [backup-simplify]: Simplify 1 into 1
52.300 * [backup-simplify]: Simplify (* 1 1) into 1
52.300 * [backup-simplify]: Simplify (* 1 1) into 1
52.300 * [backup-simplify]: Simplify (/ 1 1) into 1
52.300 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
52.300 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
52.301 * [taylor]: Taking taylor expansion of 48.0 in beta
52.301 * [backup-simplify]: Simplify 48.0 into 48.0
52.301 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
52.302 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
52.302 * [taylor]: Taking taylor expansion of (pow i 2) in beta
52.302 * [taylor]: Taking taylor expansion of i in beta
52.302 * [backup-simplify]: Simplify i into i
52.302 * [taylor]: Taking taylor expansion of beta in beta
52.302 * [backup-simplify]: Simplify 0 into 0
52.302 * [backup-simplify]: Simplify 1 into 1
52.302 * [backup-simplify]: Simplify (* i i) into (pow i 2)
52.303 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
52.303 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
52.303 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
52.304 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
52.304 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
52.304 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
52.304 * [taylor]: Taking taylor expansion of 32.0 in beta
52.304 * [backup-simplify]: Simplify 32.0 into 32.0
52.304 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.304 * [taylor]: Taking taylor expansion of i in beta
52.304 * [backup-simplify]: Simplify i into i
52.304 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.304 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
52.304 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
52.304 * [taylor]: Taking taylor expansion of 16.0 in beta
52.304 * [backup-simplify]: Simplify 16.0 into 16.0
52.304 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.304 * [taylor]: Taking taylor expansion of beta in beta
52.304 * [backup-simplify]: Simplify 0 into 0
52.304 * [backup-simplify]: Simplify 1 into 1
52.305 * [backup-simplify]: Simplify (/ 1 1) into 1
52.305 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
52.305 * [taylor]: Taking taylor expansion of 32.0 in beta
52.305 * [backup-simplify]: Simplify 32.0 into 32.0
52.305 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
52.305 * [taylor]: Taking taylor expansion of (pow i 3) in beta
52.305 * [taylor]: Taking taylor expansion of i in beta
52.305 * [backup-simplify]: Simplify i into i
52.305 * [backup-simplify]: Simplify (* i i) into (pow i 2)
52.305 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
52.305 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
52.305 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
52.306 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
52.306 * [taylor]: Taking taylor expansion of 10.0 in beta
52.306 * [backup-simplify]: Simplify 10.0 into 10.0
52.306 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
52.306 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.306 * [taylor]: Taking taylor expansion of beta in beta
52.306 * [backup-simplify]: Simplify 0 into 0
52.306 * [backup-simplify]: Simplify 1 into 1
52.307 * [backup-simplify]: Simplify (* 1 1) into 1
52.309 * [backup-simplify]: Simplify (/ 1 1) into 1
52.310 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
52.310 * [taylor]: Taking taylor expansion of 8.0 in beta
52.310 * [backup-simplify]: Simplify 8.0 into 8.0
52.310 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
52.310 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
52.310 * [taylor]: Taking taylor expansion of 48.0 in beta
52.310 * [backup-simplify]: Simplify 48.0 into 48.0
52.310 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
52.310 * [taylor]: Taking taylor expansion of (pow i 2) in beta
52.310 * [taylor]: Taking taylor expansion of i in beta
52.310 * [backup-simplify]: Simplify i into i
52.310 * [backup-simplify]: Simplify (* i i) into (pow i 2)
52.310 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
52.310 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
52.310 * [taylor]: Taking taylor expansion of 48.0 in beta
52.310 * [backup-simplify]: Simplify 48.0 into 48.0
52.310 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
52.310 * [taylor]: Taking taylor expansion of (* i beta) in beta
52.310 * [taylor]: Taking taylor expansion of i in beta
52.310 * [backup-simplify]: Simplify i into i
52.310 * [taylor]: Taking taylor expansion of beta in beta
52.311 * [backup-simplify]: Simplify 0 into 0
52.311 * [backup-simplify]: Simplify 1 into 1
52.311 * [backup-simplify]: Simplify (* i 0) into 0
52.311 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
52.311 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.314 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
52.314 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
52.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
52.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
52.316 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
52.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
52.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
52.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.326 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
52.326 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
52.327 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
52.328 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
52.328 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
52.328 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
52.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.330 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
52.330 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
52.330 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
52.331 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
52.331 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
52.332 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
52.332 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
52.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.343 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
52.343 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
52.344 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
52.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
52.345 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
52.345 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
52.345 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
52.345 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
52.346 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
52.346 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
52.346 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
52.346 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
52.346 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
52.346 * [taylor]: Taking taylor expansion of 32.0 in i
52.346 * [backup-simplify]: Simplify 32.0 into 32.0
52.347 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.347 * [taylor]: Taking taylor expansion of i in i
52.347 * [backup-simplify]: Simplify 0 into 0
52.347 * [backup-simplify]: Simplify 1 into 1
52.347 * [backup-simplify]: Simplify (/ 1 1) into 1
52.347 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
52.347 * [taylor]: Taking taylor expansion of 32.0 in i
52.347 * [backup-simplify]: Simplify 32.0 into 32.0
52.347 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
52.347 * [taylor]: Taking taylor expansion of (pow i 3) in i
52.347 * [taylor]: Taking taylor expansion of i in i
52.347 * [backup-simplify]: Simplify 0 into 0
52.347 * [backup-simplify]: Simplify 1 into 1
52.348 * [backup-simplify]: Simplify (* 1 1) into 1
52.348 * [backup-simplify]: Simplify (* 1 1) into 1
52.348 * [backup-simplify]: Simplify (/ 1 1) into 1
52.348 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
52.349 * [taylor]: Taking taylor expansion of 8.0 in i
52.349 * [backup-simplify]: Simplify 8.0 into 8.0
52.349 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
52.349 * [taylor]: Taking taylor expansion of 48.0 in i
52.349 * [backup-simplify]: Simplify 48.0 into 48.0
52.349 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
52.349 * [taylor]: Taking taylor expansion of (pow i 2) in i
52.349 * [taylor]: Taking taylor expansion of i in i
52.349 * [backup-simplify]: Simplify 0 into 0
52.349 * [backup-simplify]: Simplify 1 into 1
52.349 * [backup-simplify]: Simplify (* 1 1) into 1
52.349 * [backup-simplify]: Simplify (/ 1 1) into 1
52.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.351 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
52.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
52.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
52.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.356 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.361 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
52.361 * [backup-simplify]: Simplify (+ 0 0) into 0
52.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.374 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
52.374 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
52.375 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
52.376 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
52.376 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
52.378 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
52.379 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1)
52.380 * [backup-simplify]: Simplify (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
52.380 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
52.380 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
52.380 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
52.380 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
52.380 * [taylor]: Taking taylor expansion of (pow beta 2) in i
52.380 * [taylor]: Taking taylor expansion of beta in i
52.380 * [backup-simplify]: Simplify beta into beta
52.380 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
52.380 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
52.380 * [taylor]: Taking taylor expansion of alpha in i
52.380 * [backup-simplify]: Simplify alpha into alpha
52.380 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
52.380 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
52.381 * [taylor]: Taking taylor expansion of 2.0 in i
52.381 * [backup-simplify]: Simplify 2.0 into 2.0
52.381 * [taylor]: Taking taylor expansion of i in i
52.381 * [backup-simplify]: Simplify 0 into 0
52.381 * [backup-simplify]: Simplify 1 into 1
52.381 * [taylor]: Taking taylor expansion of beta in i
52.381 * [backup-simplify]: Simplify beta into beta
52.381 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
52.381 * [taylor]: Taking taylor expansion of alpha in i
52.381 * [backup-simplify]: Simplify alpha into alpha
52.381 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
52.381 * [taylor]: Taking taylor expansion of 2.0 in i
52.381 * [backup-simplify]: Simplify 2.0 into 2.0
52.381 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
52.381 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
52.381 * [taylor]: Taking taylor expansion of 2.0 in i
52.381 * [backup-simplify]: Simplify 2.0 into 2.0
52.381 * [taylor]: Taking taylor expansion of i in i
52.381 * [backup-simplify]: Simplify 0 into 0
52.381 * [backup-simplify]: Simplify 1 into 1
52.381 * [taylor]: Taking taylor expansion of beta in i
52.381 * [backup-simplify]: Simplify beta into beta
52.381 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
52.382 * [backup-simplify]: Simplify (* 2.0 0) into 0
52.382 * [backup-simplify]: Simplify (+ 0 beta) into beta
52.382 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
52.385 * [backup-simplify]: Simplify (* 2.0 0) into 0
52.385 * [backup-simplify]: Simplify (+ 0 beta) into beta
52.385 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
52.385 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
52.386 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
52.386 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
52.386 * [taylor]: Taking taylor expansion of 1.0 in i
52.386 * [backup-simplify]: Simplify 1.0 into 1.0
52.386 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
52.386 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
52.386 * [taylor]: Taking taylor expansion of alpha in i
52.386 * [backup-simplify]: Simplify alpha into alpha
52.386 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
52.386 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
52.386 * [taylor]: Taking taylor expansion of alpha in i
52.386 * [backup-simplify]: Simplify alpha into alpha
52.386 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
52.386 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
52.386 * [taylor]: Taking taylor expansion of 2.0 in i
52.386 * [backup-simplify]: Simplify 2.0 into 2.0
52.386 * [taylor]: Taking taylor expansion of i in i
52.387 * [backup-simplify]: Simplify 0 into 0
52.387 * [backup-simplify]: Simplify 1 into 1
52.387 * [taylor]: Taking taylor expansion of beta in i
52.387 * [backup-simplify]: Simplify beta into beta
52.387 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
52.387 * [taylor]: Taking taylor expansion of alpha in i
52.387 * [backup-simplify]: Simplify alpha into alpha
52.387 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
52.387 * [taylor]: Taking taylor expansion of 2.0 in i
52.387 * [backup-simplify]: Simplify 2.0 into 2.0
52.387 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
52.387 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
52.387 * [taylor]: Taking taylor expansion of 2.0 in i
52.387 * [backup-simplify]: Simplify 2.0 into 2.0
52.387 * [taylor]: Taking taylor expansion of i in i
52.387 * [backup-simplify]: Simplify 0 into 0
52.387 * [backup-simplify]: Simplify 1 into 1
52.387 * [taylor]: Taking taylor expansion of beta in i
52.387 * [backup-simplify]: Simplify beta into beta
52.387 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
52.388 * [backup-simplify]: Simplify (* 2.0 0) into 0
52.388 * [backup-simplify]: Simplify (+ 0 beta) into beta
52.388 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
52.388 * [backup-simplify]: Simplify (* 2.0 0) into 0
52.388 * [backup-simplify]: Simplify (+ 0 beta) into beta
52.389 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
52.389 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
52.389 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
52.389 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
52.389 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
52.389 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
52.389 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
52.389 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.389 * [taylor]: Taking taylor expansion of beta in beta
52.389 * [backup-simplify]: Simplify 0 into 0
52.389 * [backup-simplify]: Simplify 1 into 1
52.389 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
52.389 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
52.389 * [taylor]: Taking taylor expansion of alpha in beta
52.389 * [backup-simplify]: Simplify alpha into alpha
52.390 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.390 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.390 * [taylor]: Taking taylor expansion of 2.0 in beta
52.390 * [backup-simplify]: Simplify 2.0 into 2.0
52.390 * [taylor]: Taking taylor expansion of i in beta
52.390 * [backup-simplify]: Simplify i into i
52.390 * [taylor]: Taking taylor expansion of beta in beta
52.390 * [backup-simplify]: Simplify 0 into 0
52.390 * [backup-simplify]: Simplify 1 into 1
52.390 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
52.390 * [taylor]: Taking taylor expansion of alpha in beta
52.390 * [backup-simplify]: Simplify alpha into alpha
52.390 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
52.390 * [taylor]: Taking taylor expansion of 2.0 in beta
52.390 * [backup-simplify]: Simplify 2.0 into 2.0
52.390 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.390 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.390 * [taylor]: Taking taylor expansion of 2.0 in beta
52.390 * [backup-simplify]: Simplify 2.0 into 2.0
52.390 * [taylor]: Taking taylor expansion of i in beta
52.390 * [backup-simplify]: Simplify i into i
52.390 * [taylor]: Taking taylor expansion of beta in beta
52.390 * [backup-simplify]: Simplify 0 into 0
52.390 * [backup-simplify]: Simplify 1 into 1
52.391 * [backup-simplify]: Simplify (* 1 1) into 1
52.391 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.391 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.391 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
52.391 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.391 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.391 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
52.391 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
52.392 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
52.392 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
52.392 * [taylor]: Taking taylor expansion of 1.0 in beta
52.392 * [backup-simplify]: Simplify 1.0 into 1.0
52.392 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
52.392 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
52.392 * [taylor]: Taking taylor expansion of alpha in beta
52.392 * [backup-simplify]: Simplify alpha into alpha
52.392 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
52.392 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
52.392 * [taylor]: Taking taylor expansion of alpha in beta
52.392 * [backup-simplify]: Simplify alpha into alpha
52.392 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.392 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.392 * [taylor]: Taking taylor expansion of 2.0 in beta
52.392 * [backup-simplify]: Simplify 2.0 into 2.0
52.392 * [taylor]: Taking taylor expansion of i in beta
52.392 * [backup-simplify]: Simplify i into i
52.392 * [taylor]: Taking taylor expansion of beta in beta
52.392 * [backup-simplify]: Simplify 0 into 0
52.393 * [backup-simplify]: Simplify 1 into 1
52.393 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
52.393 * [taylor]: Taking taylor expansion of alpha in beta
52.393 * [backup-simplify]: Simplify alpha into alpha
52.393 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
52.393 * [taylor]: Taking taylor expansion of 2.0 in beta
52.393 * [backup-simplify]: Simplify 2.0 into 2.0
52.393 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.393 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.393 * [taylor]: Taking taylor expansion of 2.0 in beta
52.393 * [backup-simplify]: Simplify 2.0 into 2.0
52.393 * [taylor]: Taking taylor expansion of i in beta
52.393 * [backup-simplify]: Simplify i into i
52.393 * [taylor]: Taking taylor expansion of beta in beta
52.393 * [backup-simplify]: Simplify 0 into 0
52.393 * [backup-simplify]: Simplify 1 into 1
52.393 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
52.393 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.393 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.393 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
52.393 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.393 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.394 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
52.394 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
52.394 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
52.394 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
52.394 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
52.394 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
52.394 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
52.394 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
52.395 * [taylor]: Taking taylor expansion of beta in alpha
52.395 * [backup-simplify]: Simplify beta into beta
52.395 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
52.395 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
52.395 * [taylor]: Taking taylor expansion of alpha in alpha
52.395 * [backup-simplify]: Simplify 0 into 0
52.395 * [backup-simplify]: Simplify 1 into 1
52.395 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
52.395 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
52.395 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.395 * [backup-simplify]: Simplify 2.0 into 2.0
52.395 * [taylor]: Taking taylor expansion of i in alpha
52.395 * [backup-simplify]: Simplify i into i
52.395 * [taylor]: Taking taylor expansion of beta in alpha
52.395 * [backup-simplify]: Simplify beta into beta
52.395 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
52.395 * [taylor]: Taking taylor expansion of alpha in alpha
52.395 * [backup-simplify]: Simplify 0 into 0
52.395 * [backup-simplify]: Simplify 1 into 1
52.395 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
52.395 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.395 * [backup-simplify]: Simplify 2.0 into 2.0
52.395 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
52.395 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
52.395 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.395 * [backup-simplify]: Simplify 2.0 into 2.0
52.395 * [taylor]: Taking taylor expansion of i in alpha
52.395 * [backup-simplify]: Simplify i into i
52.395 * [taylor]: Taking taylor expansion of beta in alpha
52.395 * [backup-simplify]: Simplify beta into beta
52.395 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
52.396 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.396 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
52.396 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
52.396 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.396 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
52.396 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
52.396 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
52.396 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
52.397 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
52.397 * [taylor]: Taking taylor expansion of 1.0 in alpha
52.397 * [backup-simplify]: Simplify 1.0 into 1.0
52.397 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
52.397 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
52.397 * [taylor]: Taking taylor expansion of alpha in alpha
52.397 * [backup-simplify]: Simplify 0 into 0
52.397 * [backup-simplify]: Simplify 1 into 1
52.397 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
52.397 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
52.397 * [taylor]: Taking taylor expansion of alpha in alpha
52.397 * [backup-simplify]: Simplify 0 into 0
52.397 * [backup-simplify]: Simplify 1 into 1
52.397 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
52.397 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
52.397 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.397 * [backup-simplify]: Simplify 2.0 into 2.0
52.397 * [taylor]: Taking taylor expansion of i in alpha
52.397 * [backup-simplify]: Simplify i into i
52.397 * [taylor]: Taking taylor expansion of beta in alpha
52.397 * [backup-simplify]: Simplify beta into beta
52.398 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
52.398 * [taylor]: Taking taylor expansion of alpha in alpha
52.398 * [backup-simplify]: Simplify 0 into 0
52.398 * [backup-simplify]: Simplify 1 into 1
52.398 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
52.398 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.398 * [backup-simplify]: Simplify 2.0 into 2.0
52.398 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
52.398 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
52.398 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.398 * [backup-simplify]: Simplify 2.0 into 2.0
52.398 * [taylor]: Taking taylor expansion of i in alpha
52.398 * [backup-simplify]: Simplify i into i
52.398 * [taylor]: Taking taylor expansion of beta in alpha
52.398 * [backup-simplify]: Simplify beta into beta
52.403 * [backup-simplify]: Simplify (* 1 1) into 1
52.403 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.403 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
52.403 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
52.403 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.403 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
52.403 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
52.403 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
52.404 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
52.404 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
52.404 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
52.404 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
52.404 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
52.404 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
52.404 * [taylor]: Taking taylor expansion of beta in alpha
52.404 * [backup-simplify]: Simplify beta into beta
52.404 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
52.404 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
52.404 * [taylor]: Taking taylor expansion of alpha in alpha
52.404 * [backup-simplify]: Simplify 0 into 0
52.404 * [backup-simplify]: Simplify 1 into 1
52.404 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
52.404 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
52.404 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.404 * [backup-simplify]: Simplify 2.0 into 2.0
52.404 * [taylor]: Taking taylor expansion of i in alpha
52.404 * [backup-simplify]: Simplify i into i
52.404 * [taylor]: Taking taylor expansion of beta in alpha
52.404 * [backup-simplify]: Simplify beta into beta
52.404 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
52.404 * [taylor]: Taking taylor expansion of alpha in alpha
52.404 * [backup-simplify]: Simplify 0 into 0
52.404 * [backup-simplify]: Simplify 1 into 1
52.404 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
52.404 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.404 * [backup-simplify]: Simplify 2.0 into 2.0
52.404 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
52.404 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
52.404 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.404 * [backup-simplify]: Simplify 2.0 into 2.0
52.404 * [taylor]: Taking taylor expansion of i in alpha
52.405 * [backup-simplify]: Simplify i into i
52.405 * [taylor]: Taking taylor expansion of beta in alpha
52.405 * [backup-simplify]: Simplify beta into beta
52.405 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
52.405 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.405 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
52.405 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
52.405 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.405 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
52.405 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
52.405 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
52.405 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
52.406 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
52.406 * [taylor]: Taking taylor expansion of 1.0 in alpha
52.406 * [backup-simplify]: Simplify 1.0 into 1.0
52.406 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
52.406 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
52.406 * [taylor]: Taking taylor expansion of alpha in alpha
52.406 * [backup-simplify]: Simplify 0 into 0
52.414 * [backup-simplify]: Simplify 1 into 1
52.414 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
52.414 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
52.415 * [taylor]: Taking taylor expansion of alpha in alpha
52.415 * [backup-simplify]: Simplify 0 into 0
52.415 * [backup-simplify]: Simplify 1 into 1
52.415 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
52.415 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
52.415 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.415 * [backup-simplify]: Simplify 2.0 into 2.0
52.415 * [taylor]: Taking taylor expansion of i in alpha
52.415 * [backup-simplify]: Simplify i into i
52.415 * [taylor]: Taking taylor expansion of beta in alpha
52.415 * [backup-simplify]: Simplify beta into beta
52.415 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
52.415 * [taylor]: Taking taylor expansion of alpha in alpha
52.415 * [backup-simplify]: Simplify 0 into 0
52.415 * [backup-simplify]: Simplify 1 into 1
52.415 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
52.415 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.415 * [backup-simplify]: Simplify 2.0 into 2.0
52.415 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
52.415 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
52.415 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.415 * [backup-simplify]: Simplify 2.0 into 2.0
52.415 * [taylor]: Taking taylor expansion of i in alpha
52.415 * [backup-simplify]: Simplify i into i
52.415 * [taylor]: Taking taylor expansion of beta in alpha
52.415 * [backup-simplify]: Simplify beta into beta
52.416 * [backup-simplify]: Simplify (* 1 1) into 1
52.416 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.416 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
52.416 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
52.416 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.416 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
52.417 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
52.417 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
52.417 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
52.417 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
52.418 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
52.418 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
52.418 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
52.418 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
52.418 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.418 * [taylor]: Taking taylor expansion of beta in beta
52.418 * [backup-simplify]: Simplify 0 into 0
52.418 * [backup-simplify]: Simplify 1 into 1
52.418 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
52.418 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.418 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.419 * [taylor]: Taking taylor expansion of 2.0 in beta
52.419 * [backup-simplify]: Simplify 2.0 into 2.0
52.419 * [taylor]: Taking taylor expansion of i in beta
52.419 * [backup-simplify]: Simplify i into i
52.419 * [taylor]: Taking taylor expansion of beta in beta
52.419 * [backup-simplify]: Simplify 0 into 0
52.419 * [backup-simplify]: Simplify 1 into 1
52.419 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.419 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.419 * [taylor]: Taking taylor expansion of 2.0 in beta
52.419 * [backup-simplify]: Simplify 2.0 into 2.0
52.419 * [taylor]: Taking taylor expansion of i in beta
52.419 * [backup-simplify]: Simplify i into i
52.419 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.419 * [taylor]: Taking taylor expansion of beta in beta
52.419 * [backup-simplify]: Simplify 0 into 0
52.419 * [backup-simplify]: Simplify 1 into 1
52.419 * [taylor]: Taking taylor expansion of 2.0 in beta
52.419 * [backup-simplify]: Simplify 2.0 into 2.0
52.420 * [backup-simplify]: Simplify (* 1 1) into 1
52.420 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.420 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.420 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.420 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.420 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.420 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
52.421 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
52.421 * [taylor]: Taking taylor expansion of 1.0 in beta
52.421 * [backup-simplify]: Simplify 1.0 into 1.0
52.421 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
52.421 * [taylor]: Taking taylor expansion of 1.0 in i
52.421 * [backup-simplify]: Simplify 1.0 into 1.0
52.421 * [backup-simplify]: Simplify 1.0 into 1.0
52.422 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
52.431 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
52.431 * [backup-simplify]: Simplify (+ 0 0) into 0
52.431 * [backup-simplify]: Simplify (+ 0 0) into 0
52.432 * [backup-simplify]: Simplify (+ 1 0) into 1
52.446 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
52.447 * [backup-simplify]: Simplify (+ 0 0) into 0
52.447 * [backup-simplify]: Simplify (+ 1 0) into 1
52.448 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
52.449 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
52.453 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
52.457 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
52.457 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
52.457 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
52.457 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
52.457 * [taylor]: Taking taylor expansion of 4.0 in beta
52.457 * [backup-simplify]: Simplify 4.0 into 4.0
52.457 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
52.457 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
52.457 * [taylor]: Taking taylor expansion of i in beta
52.457 * [backup-simplify]: Simplify i into i
52.457 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.457 * [taylor]: Taking taylor expansion of beta in beta
52.457 * [backup-simplify]: Simplify 0 into 0
52.457 * [backup-simplify]: Simplify 1 into 1
52.457 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
52.457 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
52.457 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.457 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.458 * [taylor]: Taking taylor expansion of 2.0 in beta
52.458 * [backup-simplify]: Simplify 2.0 into 2.0
52.458 * [taylor]: Taking taylor expansion of i in beta
52.458 * [backup-simplify]: Simplify i into i
52.458 * [taylor]: Taking taylor expansion of beta in beta
52.458 * [backup-simplify]: Simplify 0 into 0
52.458 * [backup-simplify]: Simplify 1 into 1
52.458 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.458 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.458 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
52.458 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.458 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.458 * [taylor]: Taking taylor expansion of 2.0 in beta
52.458 * [backup-simplify]: Simplify 2.0 into 2.0
52.458 * [taylor]: Taking taylor expansion of i in beta
52.458 * [backup-simplify]: Simplify i into i
52.458 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.458 * [taylor]: Taking taylor expansion of beta in beta
52.458 * [backup-simplify]: Simplify 0 into 0
52.458 * [backup-simplify]: Simplify 1 into 1
52.458 * [taylor]: Taking taylor expansion of 2.0 in beta
52.458 * [backup-simplify]: Simplify 2.0 into 2.0
52.458 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.459 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.459 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.460 * [backup-simplify]: Simplify (* 1 1) into 1
52.460 * [backup-simplify]: Simplify (* i 1) into i
52.460 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
52.460 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
52.460 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
52.461 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
52.461 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
52.461 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
52.461 * [taylor]: Taking taylor expansion of 2 in beta
52.461 * [backup-simplify]: Simplify 2 into 2
52.461 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
52.461 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
52.461 * [taylor]: Taking taylor expansion of beta in beta
52.461 * [backup-simplify]: Simplify 0 into 0
52.461 * [backup-simplify]: Simplify 1 into 1
52.461 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
52.461 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
52.461 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.461 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.461 * [taylor]: Taking taylor expansion of 2.0 in beta
52.461 * [backup-simplify]: Simplify 2.0 into 2.0
52.461 * [taylor]: Taking taylor expansion of i in beta
52.461 * [backup-simplify]: Simplify i into i
52.461 * [taylor]: Taking taylor expansion of beta in beta
52.461 * [backup-simplify]: Simplify 0 into 0
52.461 * [backup-simplify]: Simplify 1 into 1
52.462 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.462 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.462 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
52.462 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.462 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.462 * [taylor]: Taking taylor expansion of 2.0 in beta
52.462 * [backup-simplify]: Simplify 2.0 into 2.0
52.462 * [taylor]: Taking taylor expansion of i in beta
52.462 * [backup-simplify]: Simplify i into i
52.462 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.462 * [taylor]: Taking taylor expansion of beta in beta
52.462 * [backup-simplify]: Simplify 0 into 0
52.462 * [backup-simplify]: Simplify 1 into 1
52.462 * [taylor]: Taking taylor expansion of 2.0 in beta
52.462 * [backup-simplify]: Simplify 2.0 into 2.0
52.462 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.466 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.466 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.466 * [backup-simplify]: Simplify (* 1 1) into 1
52.466 * [backup-simplify]: Simplify (* 1 1) into 1
52.467 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
52.467 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
52.467 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
52.467 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
52.468 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
52.468 * [taylor]: Taking taylor expansion of 2.0 in beta
52.468 * [backup-simplify]: Simplify 2.0 into 2.0
52.468 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
52.468 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.468 * [taylor]: Taking taylor expansion of beta in beta
52.468 * [backup-simplify]: Simplify 0 into 0
52.468 * [backup-simplify]: Simplify 1 into 1
52.468 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
52.468 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
52.468 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.468 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.468 * [taylor]: Taking taylor expansion of 2.0 in beta
52.468 * [backup-simplify]: Simplify 2.0 into 2.0
52.468 * [taylor]: Taking taylor expansion of i in beta
52.468 * [backup-simplify]: Simplify i into i
52.468 * [taylor]: Taking taylor expansion of beta in beta
52.468 * [backup-simplify]: Simplify 0 into 0
52.468 * [backup-simplify]: Simplify 1 into 1
52.468 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.468 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.468 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
52.468 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.468 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.468 * [taylor]: Taking taylor expansion of 2.0 in beta
52.468 * [backup-simplify]: Simplify 2.0 into 2.0
52.468 * [taylor]: Taking taylor expansion of i in beta
52.468 * [backup-simplify]: Simplify i into i
52.468 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.468 * [taylor]: Taking taylor expansion of beta in beta
52.468 * [backup-simplify]: Simplify 0 into 0
52.469 * [backup-simplify]: Simplify 1 into 1
52.469 * [taylor]: Taking taylor expansion of 2.0 in beta
52.469 * [backup-simplify]: Simplify 2.0 into 2.0
52.469 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.469 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.469 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.470 * [backup-simplify]: Simplify (* 1 1) into 1
52.470 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
52.470 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
52.470 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
52.471 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
52.471 * [backup-simplify]: Simplify (+ 0 0) into 0
52.471 * [taylor]: Taking taylor expansion of 0 in i
52.471 * [backup-simplify]: Simplify 0 into 0
52.471 * [backup-simplify]: Simplify 0 into 0
52.471 * [backup-simplify]: Simplify 0 into 0
52.472 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
52.473 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
52.473 * [backup-simplify]: Simplify (+ 0 0) into 0
52.473 * [backup-simplify]: Simplify (+ 0 0) into 0
52.474 * [backup-simplify]: Simplify (+ 0 0) into 0
52.475 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
52.475 * [backup-simplify]: Simplify (+ 0 0) into 0
52.475 * [backup-simplify]: Simplify (+ 0 0) into 0
52.476 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
52.484 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
52.492 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
52.493 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
52.504 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
52.504 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
52.504 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
52.504 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
52.504 * [taylor]: Taking taylor expansion of 16.0 in beta
52.504 * [backup-simplify]: Simplify 16.0 into 16.0
52.504 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
52.504 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
52.504 * [taylor]: Taking taylor expansion of (pow i 2) in beta
52.504 * [taylor]: Taking taylor expansion of i in beta
52.504 * [backup-simplify]: Simplify i into i
52.504 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.504 * [taylor]: Taking taylor expansion of beta in beta
52.504 * [backup-simplify]: Simplify 0 into 0
52.504 * [backup-simplify]: Simplify 1 into 1
52.504 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
52.504 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
52.504 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.505 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.505 * [taylor]: Taking taylor expansion of 2.0 in beta
52.505 * [backup-simplify]: Simplify 2.0 into 2.0
52.505 * [taylor]: Taking taylor expansion of i in beta
52.505 * [backup-simplify]: Simplify i into i
52.505 * [taylor]: Taking taylor expansion of beta in beta
52.505 * [backup-simplify]: Simplify 0 into 0
52.505 * [backup-simplify]: Simplify 1 into 1
52.505 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.505 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.505 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
52.505 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.505 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.505 * [taylor]: Taking taylor expansion of 2.0 in beta
52.505 * [backup-simplify]: Simplify 2.0 into 2.0
52.505 * [taylor]: Taking taylor expansion of i in beta
52.505 * [backup-simplify]: Simplify i into i
52.505 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.505 * [taylor]: Taking taylor expansion of beta in beta
52.505 * [backup-simplify]: Simplify 0 into 0
52.505 * [backup-simplify]: Simplify 1 into 1
52.505 * [taylor]: Taking taylor expansion of 2.0 in beta
52.505 * [backup-simplify]: Simplify 2.0 into 2.0
52.505 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.507 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.507 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.507 * [backup-simplify]: Simplify (* i i) into (pow i 2)
52.508 * [backup-simplify]: Simplify (* 1 1) into 1
52.508 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
52.508 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
52.508 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
52.509 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
52.509 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
52.509 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
52.510 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
52.510 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
52.510 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
52.510 * [taylor]: Taking taylor expansion of 4 in beta
52.510 * [backup-simplify]: Simplify 4 into 4
52.510 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
52.510 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
52.510 * [taylor]: Taking taylor expansion of beta in beta
52.510 * [backup-simplify]: Simplify 0 into 0
52.510 * [backup-simplify]: Simplify 1 into 1
52.510 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
52.510 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
52.510 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.510 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.510 * [taylor]: Taking taylor expansion of 2.0 in beta
52.510 * [backup-simplify]: Simplify 2.0 into 2.0
52.511 * [taylor]: Taking taylor expansion of i in beta
52.511 * [backup-simplify]: Simplify i into i
52.511 * [taylor]: Taking taylor expansion of beta in beta
52.511 * [backup-simplify]: Simplify 0 into 0
52.511 * [backup-simplify]: Simplify 1 into 1
52.511 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.511 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.511 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
52.511 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.511 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.511 * [taylor]: Taking taylor expansion of 2.0 in beta
52.511 * [backup-simplify]: Simplify 2.0 into 2.0
52.511 * [taylor]: Taking taylor expansion of i in beta
52.511 * [backup-simplify]: Simplify i into i
52.511 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.511 * [taylor]: Taking taylor expansion of beta in beta
52.511 * [backup-simplify]: Simplify 0 into 0
52.511 * [backup-simplify]: Simplify 1 into 1
52.511 * [taylor]: Taking taylor expansion of 2.0 in beta
52.511 * [backup-simplify]: Simplify 2.0 into 2.0
52.511 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.512 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.512 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.513 * [backup-simplify]: Simplify (* 1 1) into 1
52.513 * [backup-simplify]: Simplify (* 1 1) into 1
52.513 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
52.513 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
52.514 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
52.514 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
52.514 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
52.515 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
52.515 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
52.515 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
52.515 * [taylor]: Taking taylor expansion of 8.0 in beta
52.515 * [backup-simplify]: Simplify 8.0 into 8.0
52.515 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
52.515 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
52.515 * [taylor]: Taking taylor expansion of beta in beta
52.515 * [backup-simplify]: Simplify 0 into 0
52.515 * [backup-simplify]: Simplify 1 into 1
52.515 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
52.515 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
52.515 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.515 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.515 * [taylor]: Taking taylor expansion of 2.0 in beta
52.515 * [backup-simplify]: Simplify 2.0 into 2.0
52.515 * [taylor]: Taking taylor expansion of i in beta
52.515 * [backup-simplify]: Simplify i into i
52.515 * [taylor]: Taking taylor expansion of beta in beta
52.516 * [backup-simplify]: Simplify 0 into 0
52.516 * [backup-simplify]: Simplify 1 into 1
52.516 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.516 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.516 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
52.516 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.516 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.516 * [taylor]: Taking taylor expansion of 2.0 in beta
52.516 * [backup-simplify]: Simplify 2.0 into 2.0
52.516 * [taylor]: Taking taylor expansion of i in beta
52.516 * [backup-simplify]: Simplify i into i
52.516 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.516 * [taylor]: Taking taylor expansion of beta in beta
52.516 * [backup-simplify]: Simplify 0 into 0
52.516 * [backup-simplify]: Simplify 1 into 1
52.516 * [taylor]: Taking taylor expansion of 2.0 in beta
52.516 * [backup-simplify]: Simplify 2.0 into 2.0
52.516 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.517 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.517 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.518 * [backup-simplify]: Simplify (* 1 1) into 1
52.518 * [backup-simplify]: Simplify (* 1 1) into 1
52.518 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
52.518 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
52.519 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
52.519 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
52.519 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
52.520 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
52.520 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
52.520 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
52.520 * [taylor]: Taking taylor expansion of 16.0 in beta
52.520 * [backup-simplify]: Simplify 16.0 into 16.0
52.520 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
52.520 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
52.520 * [taylor]: Taking taylor expansion of i in beta
52.520 * [backup-simplify]: Simplify i into i
52.520 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
52.520 * [taylor]: Taking taylor expansion of beta in beta
52.520 * [backup-simplify]: Simplify 0 into 0
52.520 * [backup-simplify]: Simplify 1 into 1
52.520 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
52.520 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
52.520 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.520 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.520 * [taylor]: Taking taylor expansion of 2.0 in beta
52.520 * [backup-simplify]: Simplify 2.0 into 2.0
52.520 * [taylor]: Taking taylor expansion of i in beta
52.520 * [backup-simplify]: Simplify i into i
52.520 * [taylor]: Taking taylor expansion of beta in beta
52.520 * [backup-simplify]: Simplify 0 into 0
52.520 * [backup-simplify]: Simplify 1 into 1
52.521 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.521 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.521 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
52.521 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.521 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.521 * [taylor]: Taking taylor expansion of 2.0 in beta
52.521 * [backup-simplify]: Simplify 2.0 into 2.0
52.521 * [taylor]: Taking taylor expansion of i in beta
52.521 * [backup-simplify]: Simplify i into i
52.521 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.521 * [taylor]: Taking taylor expansion of beta in beta
52.521 * [backup-simplify]: Simplify 0 into 0
52.521 * [backup-simplify]: Simplify 1 into 1
52.521 * [taylor]: Taking taylor expansion of 2.0 in beta
52.521 * [backup-simplify]: Simplify 2.0 into 2.0
52.521 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.522 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.522 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.535 * [backup-simplify]: Simplify (* 1 1) into 1
52.535 * [backup-simplify]: Simplify (* 1 1) into 1
52.536 * [backup-simplify]: Simplify (* i 1) into i
52.536 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
52.536 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
52.536 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
52.537 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
52.537 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
52.537 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
52.537 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
52.538 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
52.538 * [taylor]: Taking taylor expansion of 16.0 in beta
52.538 * [backup-simplify]: Simplify 16.0 into 16.0
52.538 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
52.538 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
52.538 * [taylor]: Taking taylor expansion of i in beta
52.538 * [backup-simplify]: Simplify i into i
52.538 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.538 * [taylor]: Taking taylor expansion of beta in beta
52.538 * [backup-simplify]: Simplify 0 into 0
52.538 * [backup-simplify]: Simplify 1 into 1
52.538 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
52.538 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
52.538 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.538 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.538 * [taylor]: Taking taylor expansion of 2.0 in beta
52.538 * [backup-simplify]: Simplify 2.0 into 2.0
52.538 * [taylor]: Taking taylor expansion of i in beta
52.538 * [backup-simplify]: Simplify i into i
52.538 * [taylor]: Taking taylor expansion of beta in beta
52.538 * [backup-simplify]: Simplify 0 into 0
52.538 * [backup-simplify]: Simplify 1 into 1
52.538 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.539 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.539 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
52.539 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.539 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.539 * [taylor]: Taking taylor expansion of 2.0 in beta
52.539 * [backup-simplify]: Simplify 2.0 into 2.0
52.539 * [taylor]: Taking taylor expansion of i in beta
52.539 * [backup-simplify]: Simplify i into i
52.539 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.539 * [taylor]: Taking taylor expansion of beta in beta
52.539 * [backup-simplify]: Simplify 0 into 0
52.539 * [backup-simplify]: Simplify 1 into 1
52.539 * [taylor]: Taking taylor expansion of 2.0 in beta
52.539 * [backup-simplify]: Simplify 2.0 into 2.0
52.539 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.540 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.540 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.540 * [backup-simplify]: Simplify (* 1 1) into 1
52.541 * [backup-simplify]: Simplify (* i 1) into i
52.541 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
52.541 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
52.541 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
52.541 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
52.542 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
52.542 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
52.542 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
52.542 * [taylor]: Taking taylor expansion of 4.0 in beta
52.542 * [backup-simplify]: Simplify 4.0 into 4.0
52.542 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
52.542 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.542 * [taylor]: Taking taylor expansion of beta in beta
52.542 * [backup-simplify]: Simplify 0 into 0
52.542 * [backup-simplify]: Simplify 1 into 1
52.543 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
52.543 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
52.543 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.543 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.543 * [taylor]: Taking taylor expansion of 2.0 in beta
52.543 * [backup-simplify]: Simplify 2.0 into 2.0
52.543 * [taylor]: Taking taylor expansion of i in beta
52.543 * [backup-simplify]: Simplify i into i
52.543 * [taylor]: Taking taylor expansion of beta in beta
52.543 * [backup-simplify]: Simplify 0 into 0
52.543 * [backup-simplify]: Simplify 1 into 1
52.543 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.543 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.543 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
52.543 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.543 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.543 * [taylor]: Taking taylor expansion of 2.0 in beta
52.543 * [backup-simplify]: Simplify 2.0 into 2.0
52.543 * [taylor]: Taking taylor expansion of i in beta
52.543 * [backup-simplify]: Simplify i into i
52.543 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.543 * [taylor]: Taking taylor expansion of beta in beta
52.543 * [backup-simplify]: Simplify 0 into 0
52.543 * [backup-simplify]: Simplify 1 into 1
52.543 * [taylor]: Taking taylor expansion of 2.0 in beta
52.544 * [backup-simplify]: Simplify 2.0 into 2.0
52.544 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.544 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.545 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.545 * [backup-simplify]: Simplify (* 1 1) into 1
52.545 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
52.546 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
52.546 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
52.546 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
52.546 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
52.547 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
52.547 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
52.547 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
52.547 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
52.547 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.547 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.547 * [taylor]: Taking taylor expansion of 2.0 in beta
52.547 * [backup-simplify]: Simplify 2.0 into 2.0
52.547 * [taylor]: Taking taylor expansion of i in beta
52.547 * [backup-simplify]: Simplify i into i
52.547 * [taylor]: Taking taylor expansion of beta in beta
52.547 * [backup-simplify]: Simplify 0 into 0
52.547 * [backup-simplify]: Simplify 1 into 1
52.547 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.547 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.547 * [taylor]: Taking taylor expansion of 2.0 in beta
52.547 * [backup-simplify]: Simplify 2.0 into 2.0
52.547 * [taylor]: Taking taylor expansion of i in beta
52.548 * [backup-simplify]: Simplify i into i
52.548 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.548 * [taylor]: Taking taylor expansion of beta in beta
52.548 * [backup-simplify]: Simplify 0 into 0
52.548 * [backup-simplify]: Simplify 1 into 1
52.548 * [taylor]: Taking taylor expansion of 2.0 in beta
52.548 * [backup-simplify]: Simplify 2.0 into 2.0
52.548 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.548 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.548 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.569 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.569 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.569 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
52.569 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
52.569 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
52.570 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.570 * [taylor]: Taking taylor expansion of beta in beta
52.570 * [backup-simplify]: Simplify 0 into 0
52.570 * [backup-simplify]: Simplify 1 into 1
52.570 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
52.570 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
52.570 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
52.570 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.570 * [taylor]: Taking taylor expansion of 2.0 in beta
52.570 * [backup-simplify]: Simplify 2.0 into 2.0
52.570 * [taylor]: Taking taylor expansion of i in beta
52.570 * [backup-simplify]: Simplify i into i
52.570 * [taylor]: Taking taylor expansion of beta in beta
52.570 * [backup-simplify]: Simplify 0 into 0
52.570 * [backup-simplify]: Simplify 1 into 1
52.570 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.570 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
52.570 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
52.570 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
52.570 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
52.570 * [taylor]: Taking taylor expansion of 2.0 in beta
52.570 * [backup-simplify]: Simplify 2.0 into 2.0
52.570 * [taylor]: Taking taylor expansion of i in beta
52.570 * [backup-simplify]: Simplify i into i
52.570 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
52.570 * [taylor]: Taking taylor expansion of beta in beta
52.571 * [backup-simplify]: Simplify 0 into 0
52.571 * [backup-simplify]: Simplify 1 into 1
52.571 * [taylor]: Taking taylor expansion of 2.0 in beta
52.571 * [backup-simplify]: Simplify 2.0 into 2.0
52.571 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
52.572 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.572 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
52.572 * [backup-simplify]: Simplify (* 1 1) into 1
52.572 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
52.573 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
52.573 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
52.573 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
52.574 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
52.574 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
52.574 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
52.574 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
52.574 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
52.574 * [taylor]: Taking taylor expansion of 0.5 in i
52.574 * [backup-simplify]: Simplify 0.5 into 0.5
52.574 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
52.574 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
52.574 * [taylor]: Taking taylor expansion of i in i
52.575 * [backup-simplify]: Simplify 0 into 0
52.575 * [backup-simplify]: Simplify 1 into 1
52.575 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
52.575 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
52.575 * [taylor]: Taking taylor expansion of 2.0 in i
52.575 * [backup-simplify]: Simplify 2.0 into 2.0
52.575 * [taylor]: Taking taylor expansion of i in i
52.575 * [backup-simplify]: Simplify 0 into 0
52.575 * [backup-simplify]: Simplify 1 into 1
52.575 * [taylor]: Taking taylor expansion of 2.0 in i
52.575 * [backup-simplify]: Simplify 2.0 into 2.0
52.575 * [backup-simplify]: Simplify (* 2.0 0) into 0
52.576 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.576 * [backup-simplify]: Simplify (* 0 2.0) into 0
52.583 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
52.584 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
52.585 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
52.586 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
52.591 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
52.592 * [backup-simplify]: Simplify (+ 0 0) into 0
52.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
52.601 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
52.607 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
52.608 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
52.608 * [backup-simplify]: Simplify 0.25 into 0.25
52.609 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
52.609 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
52.609 * [taylor]: Taking taylor expansion of 0.5 in i
52.609 * [backup-simplify]: Simplify 0.5 into 0.5
52.609 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
52.609 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
52.609 * [taylor]: Taking taylor expansion of i in i
52.609 * [backup-simplify]: Simplify 0 into 0
52.609 * [backup-simplify]: Simplify 1 into 1
52.609 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
52.609 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
52.609 * [taylor]: Taking taylor expansion of 2.0 in i
52.609 * [backup-simplify]: Simplify 2.0 into 2.0
52.609 * [taylor]: Taking taylor expansion of i in i
52.609 * [backup-simplify]: Simplify 0 into 0
52.609 * [backup-simplify]: Simplify 1 into 1
52.609 * [taylor]: Taking taylor expansion of 2.0 in i
52.609 * [backup-simplify]: Simplify 2.0 into 2.0
52.610 * [backup-simplify]: Simplify (* 2.0 0) into 0
52.610 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.617 * [backup-simplify]: Simplify (* 0 2.0) into 0
52.619 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
52.619 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
52.620 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
52.621 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
52.622 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
52.627 * [backup-simplify]: Simplify (+ 0 0) into 0
52.630 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
52.636 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
52.643 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
52.644 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
52.645 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
52.651 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 alpha) (/ 1 beta)) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
52.651 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
52.651 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
52.651 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
52.651 * [taylor]: Taking taylor expansion of 1.0 in i
52.651 * [backup-simplify]: Simplify 1.0 into 1.0
52.651 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
52.651 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
52.651 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
52.651 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
52.651 * [taylor]: Taking taylor expansion of alpha in i
52.651 * [backup-simplify]: Simplify alpha into alpha
52.651 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.651 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
52.651 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
52.651 * [taylor]: Taking taylor expansion of 2.0 in i
52.652 * [backup-simplify]: Simplify 2.0 into 2.0
52.652 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.652 * [taylor]: Taking taylor expansion of i in i
52.652 * [backup-simplify]: Simplify 0 into 0
52.652 * [backup-simplify]: Simplify 1 into 1
52.652 * [backup-simplify]: Simplify (/ 1 1) into 1
52.652 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
52.652 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
52.652 * [taylor]: Taking taylor expansion of beta in i
52.653 * [backup-simplify]: Simplify beta into beta
52.653 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.653 * [taylor]: Taking taylor expansion of 2.0 in i
52.653 * [backup-simplify]: Simplify 2.0 into 2.0
52.653 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
52.653 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
52.653 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
52.653 * [taylor]: Taking taylor expansion of alpha in i
52.653 * [backup-simplify]: Simplify alpha into alpha
52.653 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.653 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
52.653 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
52.653 * [taylor]: Taking taylor expansion of 2.0 in i
52.653 * [backup-simplify]: Simplify 2.0 into 2.0
52.653 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.653 * [taylor]: Taking taylor expansion of i in i
52.653 * [backup-simplify]: Simplify 0 into 0
52.653 * [backup-simplify]: Simplify 1 into 1
52.659 * [backup-simplify]: Simplify (/ 1 1) into 1
52.659 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
52.659 * [taylor]: Taking taylor expansion of beta in i
52.659 * [backup-simplify]: Simplify beta into beta
52.659 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.659 * [taylor]: Taking taylor expansion of (pow beta 2) in i
52.659 * [taylor]: Taking taylor expansion of beta in i
52.659 * [backup-simplify]: Simplify beta into beta
52.660 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
52.660 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
52.661 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.661 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
52.662 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
52.662 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.666 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
52.667 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
52.667 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
52.667 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
52.667 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
52.667 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
52.667 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
52.667 * [taylor]: Taking taylor expansion of alpha in i
52.667 * [backup-simplify]: Simplify alpha into alpha
52.667 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
52.667 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
52.667 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
52.667 * [taylor]: Taking taylor expansion of alpha in i
52.667 * [backup-simplify]: Simplify alpha into alpha
52.667 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.668 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
52.668 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
52.668 * [taylor]: Taking taylor expansion of 2.0 in i
52.668 * [backup-simplify]: Simplify 2.0 into 2.0
52.668 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.668 * [taylor]: Taking taylor expansion of i in i
52.668 * [backup-simplify]: Simplify 0 into 0
52.668 * [backup-simplify]: Simplify 1 into 1
52.668 * [backup-simplify]: Simplify (/ 1 1) into 1
52.668 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
52.668 * [taylor]: Taking taylor expansion of beta in i
52.668 * [backup-simplify]: Simplify beta into beta
52.668 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.668 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
52.669 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
52.669 * [taylor]: Taking taylor expansion of alpha in i
52.669 * [backup-simplify]: Simplify alpha into alpha
52.669 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.669 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
52.669 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
52.669 * [taylor]: Taking taylor expansion of 2.0 in i
52.669 * [backup-simplify]: Simplify 2.0 into 2.0
52.669 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.669 * [taylor]: Taking taylor expansion of i in i
52.669 * [backup-simplify]: Simplify 0 into 0
52.669 * [backup-simplify]: Simplify 1 into 1
52.669 * [backup-simplify]: Simplify (/ 1 1) into 1
52.669 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
52.669 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
52.669 * [taylor]: Taking taylor expansion of beta in i
52.669 * [backup-simplify]: Simplify beta into beta
52.670 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.670 * [taylor]: Taking taylor expansion of 2.0 in i
52.670 * [backup-simplify]: Simplify 2.0 into 2.0
52.670 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
52.670 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
52.675 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
52.676 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.677 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
52.677 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
52.678 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.683 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
52.683 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
52.683 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
52.683 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
52.683 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
52.683 * [taylor]: Taking taylor expansion of 1.0 in beta
52.683 * [backup-simplify]: Simplify 1.0 into 1.0
52.683 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
52.683 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
52.683 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
52.683 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
52.684 * [taylor]: Taking taylor expansion of alpha in beta
52.684 * [backup-simplify]: Simplify alpha into alpha
52.684 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.684 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
52.684 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
52.684 * [taylor]: Taking taylor expansion of 2.0 in beta
52.684 * [backup-simplify]: Simplify 2.0 into 2.0
52.684 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.684 * [taylor]: Taking taylor expansion of i in beta
52.684 * [backup-simplify]: Simplify i into i
52.684 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.684 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
52.684 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.684 * [taylor]: Taking taylor expansion of beta in beta
52.684 * [backup-simplify]: Simplify 0 into 0
52.684 * [backup-simplify]: Simplify 1 into 1
52.684 * [backup-simplify]: Simplify (/ 1 1) into 1
52.684 * [taylor]: Taking taylor expansion of 2.0 in beta
52.684 * [backup-simplify]: Simplify 2.0 into 2.0
52.684 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
52.685 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
52.685 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
52.685 * [taylor]: Taking taylor expansion of alpha in beta
52.685 * [backup-simplify]: Simplify alpha into alpha
52.685 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.685 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
52.685 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
52.685 * [taylor]: Taking taylor expansion of 2.0 in beta
52.685 * [backup-simplify]: Simplify 2.0 into 2.0
52.685 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.685 * [taylor]: Taking taylor expansion of i in beta
52.685 * [backup-simplify]: Simplify i into i
52.685 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.685 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.685 * [taylor]: Taking taylor expansion of beta in beta
52.685 * [backup-simplify]: Simplify 0 into 0
52.685 * [backup-simplify]: Simplify 1 into 1
52.685 * [backup-simplify]: Simplify (/ 1 1) into 1
52.685 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.685 * [taylor]: Taking taylor expansion of beta in beta
52.685 * [backup-simplify]: Simplify 0 into 0
52.686 * [backup-simplify]: Simplify 1 into 1
52.686 * [backup-simplify]: Simplify (+ 1 0) into 1
52.690 * [backup-simplify]: Simplify (+ 0 1) into 1
52.691 * [backup-simplify]: Simplify (+ 0 1) into 1
52.692 * [backup-simplify]: Simplify (+ 0 1) into 1
52.692 * [backup-simplify]: Simplify (+ 0 1) into 1
52.693 * [backup-simplify]: Simplify (* 1 1) into 1
52.693 * [backup-simplify]: Simplify (* 1 1) into 1
52.694 * [backup-simplify]: Simplify (* 1 1) into 1
52.698 * [backup-simplify]: Simplify (/ 1 1) into 1
52.699 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
52.699 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
52.699 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
52.699 * [taylor]: Taking taylor expansion of alpha in beta
52.699 * [backup-simplify]: Simplify alpha into alpha
52.699 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
52.699 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
52.699 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
52.699 * [taylor]: Taking taylor expansion of alpha in beta
52.699 * [backup-simplify]: Simplify alpha into alpha
52.699 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.699 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
52.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
52.699 * [taylor]: Taking taylor expansion of 2.0 in beta
52.699 * [backup-simplify]: Simplify 2.0 into 2.0
52.699 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.699 * [taylor]: Taking taylor expansion of i in beta
52.699 * [backup-simplify]: Simplify i into i
52.699 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.699 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.699 * [taylor]: Taking taylor expansion of beta in beta
52.699 * [backup-simplify]: Simplify 0 into 0
52.699 * [backup-simplify]: Simplify 1 into 1
52.700 * [backup-simplify]: Simplify (/ 1 1) into 1
52.700 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
52.700 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
52.700 * [taylor]: Taking taylor expansion of alpha in beta
52.700 * [backup-simplify]: Simplify alpha into alpha
52.700 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
52.700 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
52.700 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
52.700 * [taylor]: Taking taylor expansion of 2.0 in beta
52.700 * [backup-simplify]: Simplify 2.0 into 2.0
52.700 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.700 * [taylor]: Taking taylor expansion of i in beta
52.700 * [backup-simplify]: Simplify i into i
52.700 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.700 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
52.700 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.700 * [taylor]: Taking taylor expansion of beta in beta
52.700 * [backup-simplify]: Simplify 0 into 0
52.700 * [backup-simplify]: Simplify 1 into 1
52.701 * [backup-simplify]: Simplify (/ 1 1) into 1
52.701 * [taylor]: Taking taylor expansion of 2.0 in beta
52.701 * [backup-simplify]: Simplify 2.0 into 2.0
52.701 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
52.702 * [backup-simplify]: Simplify (+ 0 1) into 1
52.707 * [backup-simplify]: Simplify (+ 0 1) into 1
52.707 * [backup-simplify]: Simplify (+ 1 0) into 1
52.708 * [backup-simplify]: Simplify (+ 0 1) into 1
52.708 * [backup-simplify]: Simplify (+ 0 1) into 1
52.709 * [backup-simplify]: Simplify (* 1 1) into 1
52.709 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
52.709 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
52.709 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
52.709 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
52.709 * [taylor]: Taking taylor expansion of 1.0 in alpha
52.709 * [backup-simplify]: Simplify 1.0 into 1.0
52.709 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
52.709 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
52.709 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
52.709 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.709 * [taylor]: Taking taylor expansion of alpha in alpha
52.709 * [backup-simplify]: Simplify 0 into 0
52.709 * [backup-simplify]: Simplify 1 into 1
52.710 * [backup-simplify]: Simplify (/ 1 1) into 1
52.710 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
52.710 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.710 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.710 * [backup-simplify]: Simplify 2.0 into 2.0
52.710 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.710 * [taylor]: Taking taylor expansion of i in alpha
52.710 * [backup-simplify]: Simplify i into i
52.710 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.710 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
52.710 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.710 * [taylor]: Taking taylor expansion of beta in alpha
52.710 * [backup-simplify]: Simplify beta into beta
52.710 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.710 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.710 * [backup-simplify]: Simplify 2.0 into 2.0
52.710 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
52.710 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.710 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.710 * [taylor]: Taking taylor expansion of alpha in alpha
52.715 * [backup-simplify]: Simplify 0 into 0
52.715 * [backup-simplify]: Simplify 1 into 1
52.716 * [backup-simplify]: Simplify (/ 1 1) into 1
52.716 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.716 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.716 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.716 * [backup-simplify]: Simplify 2.0 into 2.0
52.716 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.716 * [taylor]: Taking taylor expansion of i in alpha
52.716 * [backup-simplify]: Simplify i into i
52.716 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.716 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.716 * [taylor]: Taking taylor expansion of beta in alpha
52.716 * [backup-simplify]: Simplify beta into beta
52.716 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.716 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
52.716 * [taylor]: Taking taylor expansion of beta in alpha
52.716 * [backup-simplify]: Simplify beta into beta
52.717 * [backup-simplify]: Simplify (+ 1 0) into 1
52.717 * [backup-simplify]: Simplify (+ 1 0) into 1
52.717 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
52.718 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
52.718 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
52.718 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
52.718 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
52.718 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
52.718 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
52.718 * [taylor]: Taking taylor expansion of alpha in alpha
52.718 * [backup-simplify]: Simplify 0 into 0
52.718 * [backup-simplify]: Simplify 1 into 1
52.718 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
52.718 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.722 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.722 * [taylor]: Taking taylor expansion of alpha in alpha
52.722 * [backup-simplify]: Simplify 0 into 0
52.722 * [backup-simplify]: Simplify 1 into 1
52.723 * [backup-simplify]: Simplify (/ 1 1) into 1
52.723 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.723 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.723 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.723 * [backup-simplify]: Simplify 2.0 into 2.0
52.723 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.723 * [taylor]: Taking taylor expansion of i in alpha
52.723 * [backup-simplify]: Simplify i into i
52.723 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.723 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.723 * [taylor]: Taking taylor expansion of beta in alpha
52.723 * [backup-simplify]: Simplify beta into beta
52.724 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.724 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
52.724 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.724 * [taylor]: Taking taylor expansion of alpha in alpha
52.724 * [backup-simplify]: Simplify 0 into 0
52.724 * [backup-simplify]: Simplify 1 into 1
52.724 * [backup-simplify]: Simplify (/ 1 1) into 1
52.724 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
52.724 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.724 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.724 * [backup-simplify]: Simplify 2.0 into 2.0
52.724 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.724 * [taylor]: Taking taylor expansion of i in alpha
52.724 * [backup-simplify]: Simplify i into i
52.724 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.724 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
52.724 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.724 * [taylor]: Taking taylor expansion of beta in alpha
52.724 * [backup-simplify]: Simplify beta into beta
52.724 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.724 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.725 * [backup-simplify]: Simplify 2.0 into 2.0
52.725 * [backup-simplify]: Simplify (* 1 1) into 1
52.725 * [backup-simplify]: Simplify (+ 1 0) into 1
52.726 * [backup-simplify]: Simplify (+ 1 0) into 1
52.726 * [backup-simplify]: Simplify (* 1 1) into 1
52.729 * [backup-simplify]: Simplify (* 1 1) into 1
52.730 * [backup-simplify]: Simplify (/ 1 1) into 1
52.730 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
52.730 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
52.730 * [taylor]: Taking taylor expansion of 1.0 in alpha
52.730 * [backup-simplify]: Simplify 1.0 into 1.0
52.730 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
52.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
52.730 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
52.730 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.730 * [taylor]: Taking taylor expansion of alpha in alpha
52.730 * [backup-simplify]: Simplify 0 into 0
52.730 * [backup-simplify]: Simplify 1 into 1
52.730 * [backup-simplify]: Simplify (/ 1 1) into 1
52.730 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
52.730 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.730 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.730 * [backup-simplify]: Simplify 2.0 into 2.0
52.730 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.731 * [taylor]: Taking taylor expansion of i in alpha
52.731 * [backup-simplify]: Simplify i into i
52.731 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.731 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
52.731 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.731 * [taylor]: Taking taylor expansion of beta in alpha
52.731 * [backup-simplify]: Simplify beta into beta
52.731 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.731 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.731 * [backup-simplify]: Simplify 2.0 into 2.0
52.731 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
52.731 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.731 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.731 * [taylor]: Taking taylor expansion of alpha in alpha
52.731 * [backup-simplify]: Simplify 0 into 0
52.731 * [backup-simplify]: Simplify 1 into 1
52.731 * [backup-simplify]: Simplify (/ 1 1) into 1
52.731 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.731 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.731 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.732 * [backup-simplify]: Simplify 2.0 into 2.0
52.732 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.732 * [taylor]: Taking taylor expansion of i in alpha
52.732 * [backup-simplify]: Simplify i into i
52.732 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.732 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.732 * [taylor]: Taking taylor expansion of beta in alpha
52.732 * [backup-simplify]: Simplify beta into beta
52.732 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.732 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
52.732 * [taylor]: Taking taylor expansion of beta in alpha
52.732 * [backup-simplify]: Simplify beta into beta
52.732 * [backup-simplify]: Simplify (+ 1 0) into 1
52.733 * [backup-simplify]: Simplify (+ 1 0) into 1
52.733 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
52.733 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
52.733 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
52.733 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
52.733 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
52.733 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
52.733 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
52.733 * [taylor]: Taking taylor expansion of alpha in alpha
52.733 * [backup-simplify]: Simplify 0 into 0
52.733 * [backup-simplify]: Simplify 1 into 1
52.733 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
52.733 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
52.733 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.733 * [taylor]: Taking taylor expansion of alpha in alpha
52.733 * [backup-simplify]: Simplify 0 into 0
52.733 * [backup-simplify]: Simplify 1 into 1
52.734 * [backup-simplify]: Simplify (/ 1 1) into 1
52.734 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
52.734 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.734 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.734 * [backup-simplify]: Simplify 2.0 into 2.0
52.734 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.734 * [taylor]: Taking taylor expansion of i in alpha
52.734 * [backup-simplify]: Simplify i into i
52.734 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.734 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.734 * [taylor]: Taking taylor expansion of beta in alpha
52.734 * [backup-simplify]: Simplify beta into beta
52.734 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.734 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
52.734 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
52.734 * [taylor]: Taking taylor expansion of alpha in alpha
52.734 * [backup-simplify]: Simplify 0 into 0
52.734 * [backup-simplify]: Simplify 1 into 1
52.735 * [backup-simplify]: Simplify (/ 1 1) into 1
52.735 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
52.735 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
52.735 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.735 * [backup-simplify]: Simplify 2.0 into 2.0
52.735 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
52.735 * [taylor]: Taking taylor expansion of i in alpha
52.735 * [backup-simplify]: Simplify i into i
52.735 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.735 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
52.735 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
52.735 * [taylor]: Taking taylor expansion of beta in alpha
52.735 * [backup-simplify]: Simplify beta into beta
52.735 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
52.735 * [taylor]: Taking taylor expansion of 2.0 in alpha
52.735 * [backup-simplify]: Simplify 2.0 into 2.0
52.736 * [backup-simplify]: Simplify (* 1 1) into 1
52.736 * [backup-simplify]: Simplify (+ 1 0) into 1
52.737 * [backup-simplify]: Simplify (+ 1 0) into 1
52.737 * [backup-simplify]: Simplify (* 1 1) into 1
52.738 * [backup-simplify]: Simplify (* 1 1) into 1
52.738 * [backup-simplify]: Simplify (/ 1 1) into 1
52.739 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
52.739 * [backup-simplify]: Simplify (- 1) into -1
52.739 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
52.740 * [taylor]: Taking taylor expansion of 0 in beta
52.740 * [backup-simplify]: Simplify 0 into 0
52.740 * [taylor]: Taking taylor expansion of 0 in i
52.740 * [backup-simplify]: Simplify 0 into 0
52.740 * [backup-simplify]: Simplify 0 into 0
52.740 * [backup-simplify]: Simplify (+ 0 0) into 0
52.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.743 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
52.743 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
52.743 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
52.744 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
52.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.745 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
52.745 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.745 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.745 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
52.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.751 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
52.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
52.752 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
52.752 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
52.752 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
52.752 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
52.752 * [taylor]: Taking taylor expansion of 4.0 in beta
52.752 * [backup-simplify]: Simplify 4.0 into 4.0
52.752 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.752 * [taylor]: Taking taylor expansion of i in beta
52.752 * [backup-simplify]: Simplify i into i
52.752 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.752 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
52.752 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
52.752 * [taylor]: Taking taylor expansion of 2 in beta
52.752 * [backup-simplify]: Simplify 2 into 2
52.752 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.752 * [taylor]: Taking taylor expansion of beta in beta
52.752 * [backup-simplify]: Simplify 0 into 0
52.752 * [backup-simplify]: Simplify 1 into 1
52.753 * [backup-simplify]: Simplify (/ 1 1) into 1
52.753 * [taylor]: Taking taylor expansion of 2.0 in beta
52.753 * [backup-simplify]: Simplify 2.0 into 2.0
52.753 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
52.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.762 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
52.763 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.763 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
52.763 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
52.763 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
52.763 * [taylor]: Taking taylor expansion of 4.0 in i
52.763 * [backup-simplify]: Simplify 4.0 into 4.0
52.763 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.763 * [taylor]: Taking taylor expansion of i in i
52.763 * [backup-simplify]: Simplify 0 into 0
52.763 * [backup-simplify]: Simplify 1 into 1
52.763 * [backup-simplify]: Simplify (/ 1 1) into 1
52.763 * [taylor]: Taking taylor expansion of 2.0 in i
52.764 * [backup-simplify]: Simplify 2.0 into 2.0
52.764 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.765 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
52.766 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
52.766 * [backup-simplify]: Simplify 2.0 into 2.0
52.766 * [taylor]: Taking taylor expansion of 0 in i
52.766 * [backup-simplify]: Simplify 0 into 0
52.766 * [backup-simplify]: Simplify 0 into 0
52.766 * [backup-simplify]: Simplify 0 into 0
52.766 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
52.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
52.768 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
52.768 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
52.768 * [backup-simplify]: Simplify (+ 0 0) into 0
52.769 * [backup-simplify]: Simplify (+ 0 0) into 0
52.769 * [backup-simplify]: Simplify (+ 0 0) into 0
52.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
52.771 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
52.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
52.772 * [backup-simplify]: Simplify (+ 0 0) into 0
52.772 * [backup-simplify]: Simplify (+ 0 0) into 0
52.774 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
52.775 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.779 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
52.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
52.781 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
52.782 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
52.783 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
52.783 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
52.783 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
52.783 * [taylor]: Taking taylor expansion of 2 in beta
52.783 * [backup-simplify]: Simplify 2 into 2
52.783 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
52.783 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
52.783 * [taylor]: Taking taylor expansion of beta in beta
52.783 * [backup-simplify]: Simplify 0 into 0
52.783 * [backup-simplify]: Simplify 1 into 1
52.783 * [backup-simplify]: Simplify (* 1 1) into 1
52.784 * [backup-simplify]: Simplify (/ 1 1) into 1
52.784 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
52.784 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
52.784 * [taylor]: Taking taylor expansion of 12.0 in beta
52.784 * [backup-simplify]: Simplify 12.0 into 12.0
52.784 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
52.784 * [taylor]: Taking taylor expansion of (pow i 2) in beta
52.784 * [taylor]: Taking taylor expansion of i in beta
52.784 * [backup-simplify]: Simplify i into i
52.784 * [backup-simplify]: Simplify (* i i) into (pow i 2)
52.784 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
52.784 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
52.784 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
52.784 * [taylor]: Taking taylor expansion of 6.0 in beta
52.784 * [backup-simplify]: Simplify 6.0 into 6.0
52.784 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
52.784 * [taylor]: Taking taylor expansion of beta in beta
52.784 * [backup-simplify]: Simplify 0 into 0
52.784 * [backup-simplify]: Simplify 1 into 1
52.785 * [backup-simplify]: Simplify (/ 1 1) into 1
52.785 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
52.785 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
52.785 * [taylor]: Taking taylor expansion of 12.0 in beta
52.785 * [backup-simplify]: Simplify 12.0 into 12.0
52.785 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
52.785 * [taylor]: Taking taylor expansion of i in beta
52.785 * [backup-simplify]: Simplify i into i
52.785 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.785 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
52.785 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
52.785 * [taylor]: Taking taylor expansion of 12.0 in beta
52.785 * [backup-simplify]: Simplify 12.0 into 12.0
52.785 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
52.785 * [taylor]: Taking taylor expansion of (* i beta) in beta
52.785 * [taylor]: Taking taylor expansion of i in beta
52.785 * [backup-simplify]: Simplify i into i
52.785 * [taylor]: Taking taylor expansion of beta in beta
52.785 * [backup-simplify]: Simplify 0 into 0
52.785 * [backup-simplify]: Simplify 1 into 1
52.785 * [backup-simplify]: Simplify (* i 0) into 0
52.786 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
52.786 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
52.786 * [taylor]: Taking taylor expansion of 4.0 in beta
52.786 * [backup-simplify]: Simplify 4.0 into 4.0
52.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.790 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
52.790 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
52.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.792 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
52.792 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
52.793 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
52.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
52.793 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
52.794 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
52.794 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
52.795 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
52.796 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
52.796 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
52.796 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
52.797 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
52.797 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
52.797 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
52.797 * [taylor]: Taking taylor expansion of 12.0 in i
52.797 * [backup-simplify]: Simplify 12.0 into 12.0
52.797 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
52.797 * [taylor]: Taking taylor expansion of (pow i 2) in i
52.797 * [taylor]: Taking taylor expansion of i in i
52.797 * [backup-simplify]: Simplify 0 into 0
52.797 * [backup-simplify]: Simplify 1 into 1
52.797 * [backup-simplify]: Simplify (* 1 1) into 1
52.798 * [backup-simplify]: Simplify (/ 1 1) into 1
52.798 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
52.798 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
52.798 * [taylor]: Taking taylor expansion of 12.0 in i
52.798 * [backup-simplify]: Simplify 12.0 into 12.0
52.798 * [taylor]: Taking taylor expansion of (/ 1 i) in i
52.798 * [taylor]: Taking taylor expansion of i in i
52.798 * [backup-simplify]: Simplify 0 into 0
52.798 * [backup-simplify]: Simplify 1 into 1
52.798 * [backup-simplify]: Simplify (/ 1 1) into 1
52.798 * [taylor]: Taking taylor expansion of 4.0 in i
52.798 * [backup-simplify]: Simplify 4.0 into 4.0
52.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
52.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
52.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.802 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
52.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.804 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
52.804 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
52.805 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
52.805 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
52.806 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
52.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
52.806 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
52.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.808 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
52.808 * [backup-simplify]: Simplify (+ 0 0) into 0
52.809 * [backup-simplify]: Simplify (+ 0 0) into 0
52.809 * [taylor]: Taking taylor expansion of 0 in i
52.809 * [backup-simplify]: Simplify 0 into 0
52.809 * [backup-simplify]: Simplify 0 into 0
52.809 * [taylor]: Taking taylor expansion of 0 in i
52.809 * [backup-simplify]: Simplify 0 into 0
52.809 * [backup-simplify]: Simplify 0 into 0
52.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.811 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
52.812 * [backup-simplify]: Simplify (+ 0 0) into 0
52.812 * [backup-simplify]: Simplify 0 into 0
52.812 * [backup-simplify]: Simplify 0 into 0
52.812 * [backup-simplify]: Simplify 0 into 0
52.812 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
52.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.813 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
52.813 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.813 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
52.814 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
52.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
52.815 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
52.816 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
52.816 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
52.816 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
52.817 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
52.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
52.819 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
52.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.820 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
52.821 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
52.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
52.822 * [backup-simplify]: Simplify (+ 0 0) into 0
52.822 * [backup-simplify]: Simplify (+ 0 0) into 0
52.823 * [backup-simplify]: Simplify (+ 0 0) into 0
52.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
52.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
52.826 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
52.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
52.827 * [backup-simplify]: Simplify (+ 0 0) into 0
52.827 * [backup-simplify]: Simplify (+ 0 0) into 0
52.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
52.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
53.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
53.036 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
53.045 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
53.046 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
53.046 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
53.046 * [taylor]: Taking taylor expansion of 20.0 in beta
53.046 * [backup-simplify]: Simplify 20.0 into 20.0
53.046 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
53.046 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
53.046 * [taylor]: Taking taylor expansion of i in beta
53.046 * [backup-simplify]: Simplify i into i
53.046 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.046 * [taylor]: Taking taylor expansion of beta in beta
53.046 * [backup-simplify]: Simplify 0 into 0
53.046 * [backup-simplify]: Simplify 1 into 1
53.051 * [backup-simplify]: Simplify (* 1 1) into 1
53.051 * [backup-simplify]: Simplify (* i 1) into i
53.051 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.051 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
53.051 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
53.051 * [taylor]: Taking taylor expansion of 48.0 in beta
53.051 * [backup-simplify]: Simplify 48.0 into 48.0
53.051 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
53.051 * [taylor]: Taking taylor expansion of (pow i 2) in beta
53.051 * [taylor]: Taking taylor expansion of i in beta
53.051 * [backup-simplify]: Simplify i into i
53.052 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.052 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
53.052 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
53.052 * [taylor]: Taking taylor expansion of 8.0 in beta
53.052 * [backup-simplify]: Simplify 8.0 into 8.0
53.052 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
53.052 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
53.052 * [taylor]: Taking taylor expansion of 10.0 in beta
53.052 * [backup-simplify]: Simplify 10.0 into 10.0
53.052 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
53.052 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.052 * [taylor]: Taking taylor expansion of beta in beta
53.052 * [backup-simplify]: Simplify 0 into 0
53.052 * [backup-simplify]: Simplify 1 into 1
53.053 * [backup-simplify]: Simplify (* 1 1) into 1
53.053 * [backup-simplify]: Simplify (/ 1 1) into 1
53.053 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
53.053 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
53.053 * [taylor]: Taking taylor expansion of 48.0 in beta
53.053 * [backup-simplify]: Simplify 48.0 into 48.0
53.053 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
53.053 * [taylor]: Taking taylor expansion of (* i beta) in beta
53.053 * [taylor]: Taking taylor expansion of i in beta
53.053 * [backup-simplify]: Simplify i into i
53.053 * [taylor]: Taking taylor expansion of beta in beta
53.053 * [backup-simplify]: Simplify 0 into 0
53.053 * [backup-simplify]: Simplify 1 into 1
53.054 * [backup-simplify]: Simplify (* i 0) into 0
53.054 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
53.054 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.054 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
53.054 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
53.058 * [taylor]: Taking taylor expansion of 2 in beta
53.059 * [backup-simplify]: Simplify 2 into 2
53.059 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
53.059 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
53.059 * [taylor]: Taking taylor expansion of beta in beta
53.059 * [backup-simplify]: Simplify 0 into 0
53.059 * [backup-simplify]: Simplify 1 into 1
53.059 * [backup-simplify]: Simplify (* 1 1) into 1
53.060 * [backup-simplify]: Simplify (* 1 1) into 1
53.060 * [backup-simplify]: Simplify (/ 1 1) into 1
53.060 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
53.060 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
53.060 * [taylor]: Taking taylor expansion of 48.0 in beta
53.060 * [backup-simplify]: Simplify 48.0 into 48.0
53.060 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
53.060 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
53.060 * [taylor]: Taking taylor expansion of (pow i 2) in beta
53.060 * [taylor]: Taking taylor expansion of i in beta
53.060 * [backup-simplify]: Simplify i into i
53.060 * [taylor]: Taking taylor expansion of beta in beta
53.061 * [backup-simplify]: Simplify 0 into 0
53.061 * [backup-simplify]: Simplify 1 into 1
53.061 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.061 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
53.061 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
53.062 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
53.062 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
53.062 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
53.062 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
53.062 * [taylor]: Taking taylor expansion of 32.0 in beta
53.062 * [backup-simplify]: Simplify 32.0 into 32.0
53.062 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.062 * [taylor]: Taking taylor expansion of i in beta
53.062 * [backup-simplify]: Simplify i into i
53.062 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.062 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
53.062 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
53.062 * [taylor]: Taking taylor expansion of 16.0 in beta
53.062 * [backup-simplify]: Simplify 16.0 into 16.0
53.071 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.071 * [taylor]: Taking taylor expansion of beta in beta
53.071 * [backup-simplify]: Simplify 0 into 0
53.071 * [backup-simplify]: Simplify 1 into 1
53.071 * [backup-simplify]: Simplify (/ 1 1) into 1
53.071 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
53.071 * [taylor]: Taking taylor expansion of 32.0 in beta
53.071 * [backup-simplify]: Simplify 32.0 into 32.0
53.071 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
53.071 * [taylor]: Taking taylor expansion of (pow i 3) in beta
53.072 * [taylor]: Taking taylor expansion of i in beta
53.072 * [backup-simplify]: Simplify i into i
53.072 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.072 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
53.072 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
53.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.074 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.074 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
53.075 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
53.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.075 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
53.076 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
53.076 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
53.077 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.078 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.079 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.081 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
53.081 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
53.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.082 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
53.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.086 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.091 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.092 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
53.093 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
53.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
53.094 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
53.094 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
53.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.095 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
53.095 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
53.096 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
53.096 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
53.096 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.097 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.097 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.097 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.098 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
53.098 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
53.099 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
53.099 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
53.099 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
53.099 * [taylor]: Taking taylor expansion of 48.0 in i
53.099 * [backup-simplify]: Simplify 48.0 into 48.0
53.099 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
53.099 * [taylor]: Taking taylor expansion of (pow i 2) in i
53.099 * [taylor]: Taking taylor expansion of i in i
53.099 * [backup-simplify]: Simplify 0 into 0
53.099 * [backup-simplify]: Simplify 1 into 1
53.100 * [backup-simplify]: Simplify (* 1 1) into 1
53.100 * [backup-simplify]: Simplify (/ 1 1) into 1
53.100 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
53.100 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
53.100 * [taylor]: Taking taylor expansion of 32.0 in i
53.101 * [backup-simplify]: Simplify 32.0 into 32.0
53.101 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
53.101 * [taylor]: Taking taylor expansion of (pow i 3) in i
53.101 * [taylor]: Taking taylor expansion of i in i
53.101 * [backup-simplify]: Simplify 0 into 0
53.101 * [backup-simplify]: Simplify 1 into 1
53.101 * [backup-simplify]: Simplify (* 1 1) into 1
53.101 * [backup-simplify]: Simplify (* 1 1) into 1
53.102 * [backup-simplify]: Simplify (/ 1 1) into 1
53.102 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
53.102 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
53.102 * [taylor]: Taking taylor expansion of 32.0 in i
53.102 * [backup-simplify]: Simplify 32.0 into 32.0
53.102 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.102 * [taylor]: Taking taylor expansion of i in i
53.102 * [backup-simplify]: Simplify 0 into 0
53.102 * [backup-simplify]: Simplify 1 into 1
53.102 * [backup-simplify]: Simplify (/ 1 1) into 1
53.102 * [taylor]: Taking taylor expansion of 8.0 in i
53.102 * [backup-simplify]: Simplify 8.0 into 8.0
53.103 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.107 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
53.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.110 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.116 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.118 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
53.118 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
53.119 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
53.119 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
53.119 * [backup-simplify]: Simplify 8.0 into 8.0
53.120 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
53.123 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
53.123 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
53.123 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
53.123 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
53.123 * [taylor]: Taking taylor expansion of 1.0 in i
53.123 * [backup-simplify]: Simplify 1.0 into 1.0
53.123 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
53.123 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
53.123 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
53.123 * [taylor]: Taking taylor expansion of alpha in i
53.123 * [backup-simplify]: Simplify alpha into alpha
53.123 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
53.123 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
53.123 * [taylor]: Taking taylor expansion of 2.0 in i
53.123 * [backup-simplify]: Simplify 2.0 into 2.0
53.123 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
53.123 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.123 * [taylor]: Taking taylor expansion of alpha in i
53.123 * [backup-simplify]: Simplify alpha into alpha
53.123 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.123 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
53.123 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.123 * [taylor]: Taking taylor expansion of 2.0 in i
53.124 * [backup-simplify]: Simplify 2.0 into 2.0
53.124 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.124 * [taylor]: Taking taylor expansion of i in i
53.124 * [backup-simplify]: Simplify 0 into 0
53.124 * [backup-simplify]: Simplify 1 into 1
53.124 * [backup-simplify]: Simplify (/ 1 1) into 1
53.124 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.124 * [taylor]: Taking taylor expansion of beta in i
53.124 * [backup-simplify]: Simplify beta into beta
53.124 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.124 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
53.124 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.124 * [taylor]: Taking taylor expansion of alpha in i
53.124 * [backup-simplify]: Simplify alpha into alpha
53.125 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.125 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
53.125 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.125 * [taylor]: Taking taylor expansion of 2.0 in i
53.125 * [backup-simplify]: Simplify 2.0 into 2.0
53.125 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.125 * [taylor]: Taking taylor expansion of i in i
53.125 * [backup-simplify]: Simplify 0 into 0
53.125 * [backup-simplify]: Simplify 1 into 1
53.125 * [backup-simplify]: Simplify (/ 1 1) into 1
53.125 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.125 * [taylor]: Taking taylor expansion of beta in i
53.125 * [backup-simplify]: Simplify beta into beta
53.125 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.125 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
53.126 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.126 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.127 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.127 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
53.128 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
53.129 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.129 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.129 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.130 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
53.130 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
53.131 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
53.131 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
53.131 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
53.131 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
53.131 * [taylor]: Taking taylor expansion of 2.0 in i
53.131 * [backup-simplify]: Simplify 2.0 into 2.0
53.131 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
53.131 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.131 * [taylor]: Taking taylor expansion of alpha in i
53.131 * [backup-simplify]: Simplify alpha into alpha
53.131 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.131 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
53.131 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.131 * [taylor]: Taking taylor expansion of 2.0 in i
53.131 * [backup-simplify]: Simplify 2.0 into 2.0
53.131 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.131 * [taylor]: Taking taylor expansion of i in i
53.131 * [backup-simplify]: Simplify 0 into 0
53.131 * [backup-simplify]: Simplify 1 into 1
53.132 * [backup-simplify]: Simplify (/ 1 1) into 1
53.132 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.132 * [taylor]: Taking taylor expansion of beta in i
53.132 * [backup-simplify]: Simplify beta into beta
53.132 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.132 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
53.132 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
53.132 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.132 * [taylor]: Taking taylor expansion of alpha in i
53.132 * [backup-simplify]: Simplify alpha into alpha
53.132 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.132 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
53.132 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.132 * [taylor]: Taking taylor expansion of 2.0 in i
53.132 * [backup-simplify]: Simplify 2.0 into 2.0
53.132 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.132 * [taylor]: Taking taylor expansion of i in i
53.132 * [backup-simplify]: Simplify 0 into 0
53.132 * [backup-simplify]: Simplify 1 into 1
53.133 * [backup-simplify]: Simplify (/ 1 1) into 1
53.133 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.133 * [taylor]: Taking taylor expansion of beta in i
53.133 * [backup-simplify]: Simplify beta into beta
53.133 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.133 * [taylor]: Taking taylor expansion of (pow beta 2) in i
53.133 * [taylor]: Taking taylor expansion of beta in i
53.133 * [backup-simplify]: Simplify beta into beta
53.133 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.134 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.134 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.135 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
53.136 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
53.136 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.137 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.137 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.137 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.137 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
53.138 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
53.138 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
53.138 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
53.138 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
53.138 * [taylor]: Taking taylor expansion of 1.0 in beta
53.138 * [backup-simplify]: Simplify 1.0 into 1.0
53.138 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
53.138 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
53.138 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
53.138 * [taylor]: Taking taylor expansion of alpha in beta
53.138 * [backup-simplify]: Simplify alpha into alpha
53.138 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
53.139 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
53.139 * [taylor]: Taking taylor expansion of 2.0 in beta
53.139 * [backup-simplify]: Simplify 2.0 into 2.0
53.139 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
53.139 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.139 * [taylor]: Taking taylor expansion of alpha in beta
53.139 * [backup-simplify]: Simplify alpha into alpha
53.139 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.139 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
53.139 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.139 * [taylor]: Taking taylor expansion of 2.0 in beta
53.139 * [backup-simplify]: Simplify 2.0 into 2.0
53.139 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.139 * [taylor]: Taking taylor expansion of i in beta
53.139 * [backup-simplify]: Simplify i into i
53.139 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.139 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.139 * [taylor]: Taking taylor expansion of beta in beta
53.139 * [backup-simplify]: Simplify 0 into 0
53.139 * [backup-simplify]: Simplify 1 into 1
53.140 * [backup-simplify]: Simplify (/ 1 1) into 1
53.140 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
53.140 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.140 * [taylor]: Taking taylor expansion of alpha in beta
53.140 * [backup-simplify]: Simplify alpha into alpha
53.140 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.140 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
53.140 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.140 * [taylor]: Taking taylor expansion of 2.0 in beta
53.140 * [backup-simplify]: Simplify 2.0 into 2.0
53.140 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.140 * [taylor]: Taking taylor expansion of i in beta
53.140 * [backup-simplify]: Simplify i into i
53.140 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.140 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.140 * [taylor]: Taking taylor expansion of beta in beta
53.140 * [backup-simplify]: Simplify 0 into 0
53.140 * [backup-simplify]: Simplify 1 into 1
53.141 * [backup-simplify]: Simplify (/ 1 1) into 1
53.141 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
53.141 * [backup-simplify]: Simplify (+ 0 1) into 1
53.142 * [backup-simplify]: Simplify (+ 0 1) into 1
53.142 * [backup-simplify]: Simplify (- 1) into -1
53.143 * [backup-simplify]: Simplify (+ 0 -1) into -1
53.143 * [backup-simplify]: Simplify (+ 0 1) into 1
53.143 * [backup-simplify]: Simplify (+ 0 1) into 1
53.144 * [backup-simplify]: Simplify (* -1 1) into -1
53.144 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
53.144 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
53.144 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
53.144 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
53.144 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
53.144 * [taylor]: Taking taylor expansion of 2.0 in beta
53.145 * [backup-simplify]: Simplify 2.0 into 2.0
53.145 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
53.145 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.145 * [taylor]: Taking taylor expansion of alpha in beta
53.145 * [backup-simplify]: Simplify alpha into alpha
53.145 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.145 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
53.145 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.145 * [taylor]: Taking taylor expansion of 2.0 in beta
53.145 * [backup-simplify]: Simplify 2.0 into 2.0
53.145 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.145 * [taylor]: Taking taylor expansion of i in beta
53.145 * [backup-simplify]: Simplify i into i
53.145 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.145 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.145 * [taylor]: Taking taylor expansion of beta in beta
53.145 * [backup-simplify]: Simplify 0 into 0
53.145 * [backup-simplify]: Simplify 1 into 1
53.146 * [backup-simplify]: Simplify (/ 1 1) into 1
53.146 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
53.146 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
53.146 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.146 * [taylor]: Taking taylor expansion of alpha in beta
53.146 * [backup-simplify]: Simplify alpha into alpha
53.146 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.146 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
53.146 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.146 * [taylor]: Taking taylor expansion of 2.0 in beta
53.146 * [backup-simplify]: Simplify 2.0 into 2.0
53.146 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.146 * [taylor]: Taking taylor expansion of i in beta
53.146 * [backup-simplify]: Simplify i into i
53.146 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.146 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.146 * [taylor]: Taking taylor expansion of beta in beta
53.146 * [backup-simplify]: Simplify 0 into 0
53.146 * [backup-simplify]: Simplify 1 into 1
53.147 * [backup-simplify]: Simplify (/ 1 1) into 1
53.147 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.147 * [taylor]: Taking taylor expansion of beta in beta
53.147 * [backup-simplify]: Simplify 0 into 0
53.147 * [backup-simplify]: Simplify 1 into 1
53.147 * [backup-simplify]: Simplify (+ 0 1) into 1
53.148 * [backup-simplify]: Simplify (+ 0 1) into 1
53.148 * [backup-simplify]: Simplify (- 1) into -1
53.149 * [backup-simplify]: Simplify (+ 0 -1) into -1
53.149 * [backup-simplify]: Simplify (+ 0 1) into 1
53.150 * [backup-simplify]: Simplify (+ 0 1) into 1
53.150 * [backup-simplify]: Simplify (* 1 1) into 1
53.150 * [backup-simplify]: Simplify (* 1 1) into 1
53.151 * [backup-simplify]: Simplify (* -1 1) into -1
53.151 * [backup-simplify]: Simplify (/ 1 -1) into -1
53.151 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
53.151 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
53.151 * [taylor]: Taking taylor expansion of 1.0 in alpha
53.151 * [backup-simplify]: Simplify 1.0 into 1.0
53.151 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
53.151 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
53.151 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
53.152 * [taylor]: Taking taylor expansion of alpha in alpha
53.152 * [backup-simplify]: Simplify 0 into 0
53.152 * [backup-simplify]: Simplify 1 into 1
53.152 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.152 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.152 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.152 * [backup-simplify]: Simplify 2.0 into 2.0
53.152 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.152 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.152 * [taylor]: Taking taylor expansion of alpha in alpha
53.152 * [backup-simplify]: Simplify 0 into 0
53.152 * [backup-simplify]: Simplify 1 into 1
53.152 * [backup-simplify]: Simplify (/ 1 1) into 1
53.152 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.152 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.152 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.152 * [backup-simplify]: Simplify 2.0 into 2.0
53.152 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.152 * [taylor]: Taking taylor expansion of i in alpha
53.153 * [backup-simplify]: Simplify i into i
53.153 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.153 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.153 * [taylor]: Taking taylor expansion of beta in alpha
53.153 * [backup-simplify]: Simplify beta into beta
53.153 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.153 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.153 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.153 * [taylor]: Taking taylor expansion of alpha in alpha
53.153 * [backup-simplify]: Simplify 0 into 0
53.153 * [backup-simplify]: Simplify 1 into 1
53.153 * [backup-simplify]: Simplify (/ 1 1) into 1
53.153 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.153 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.153 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.153 * [backup-simplify]: Simplify 2.0 into 2.0
53.153 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.154 * [taylor]: Taking taylor expansion of i in alpha
53.154 * [backup-simplify]: Simplify i into i
53.154 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.154 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.154 * [taylor]: Taking taylor expansion of beta in alpha
53.154 * [backup-simplify]: Simplify beta into beta
53.154 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.154 * [backup-simplify]: Simplify (* 1 1) into 1
53.155 * [backup-simplify]: Simplify (+ 1 0) into 1
53.155 * [backup-simplify]: Simplify (- 1) into -1
53.156 * [backup-simplify]: Simplify (+ 0 -1) into -1
53.156 * [backup-simplify]: Simplify (+ 1 0) into 1
53.156 * [backup-simplify]: Simplify (* -1 1) into -1
53.157 * [backup-simplify]: Simplify (* 1 -1) into -1
53.157 * [backup-simplify]: Simplify (/ 1 -1) into -1
53.157 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
53.157 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
53.157 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.157 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.158 * [backup-simplify]: Simplify 2.0 into 2.0
53.158 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.158 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.158 * [taylor]: Taking taylor expansion of alpha in alpha
53.158 * [backup-simplify]: Simplify 0 into 0
53.158 * [backup-simplify]: Simplify 1 into 1
53.158 * [backup-simplify]: Simplify (/ 1 1) into 1
53.158 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.158 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.158 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.158 * [backup-simplify]: Simplify 2.0 into 2.0
53.158 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.158 * [taylor]: Taking taylor expansion of i in alpha
53.158 * [backup-simplify]: Simplify i into i
53.158 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.158 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.158 * [taylor]: Taking taylor expansion of beta in alpha
53.159 * [backup-simplify]: Simplify beta into beta
53.159 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.159 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
53.159 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.159 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.159 * [taylor]: Taking taylor expansion of alpha in alpha
53.159 * [backup-simplify]: Simplify 0 into 0
53.159 * [backup-simplify]: Simplify 1 into 1
53.159 * [backup-simplify]: Simplify (/ 1 1) into 1
53.159 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.159 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.159 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.159 * [backup-simplify]: Simplify 2.0 into 2.0
53.159 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.159 * [taylor]: Taking taylor expansion of i in alpha
53.159 * [backup-simplify]: Simplify i into i
53.159 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.160 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.160 * [taylor]: Taking taylor expansion of beta in alpha
53.160 * [backup-simplify]: Simplify beta into beta
53.160 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.160 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
53.160 * [taylor]: Taking taylor expansion of beta in alpha
53.160 * [backup-simplify]: Simplify beta into beta
53.160 * [backup-simplify]: Simplify (+ 1 0) into 1
53.161 * [backup-simplify]: Simplify (- 1) into -1
53.161 * [backup-simplify]: Simplify (+ 0 -1) into -1
53.161 * [backup-simplify]: Simplify (+ 1 0) into 1
53.162 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.162 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
53.162 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
53.162 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
53.162 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
53.162 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
53.162 * [taylor]: Taking taylor expansion of 1.0 in alpha
53.162 * [backup-simplify]: Simplify 1.0 into 1.0
53.162 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
53.162 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
53.163 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
53.163 * [taylor]: Taking taylor expansion of alpha in alpha
53.163 * [backup-simplify]: Simplify 0 into 0
53.163 * [backup-simplify]: Simplify 1 into 1
53.163 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.163 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.163 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.163 * [backup-simplify]: Simplify 2.0 into 2.0
53.163 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.163 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.163 * [taylor]: Taking taylor expansion of alpha in alpha
53.163 * [backup-simplify]: Simplify 0 into 0
53.163 * [backup-simplify]: Simplify 1 into 1
53.164 * [backup-simplify]: Simplify (/ 1 1) into 1
53.164 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.164 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.164 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.164 * [backup-simplify]: Simplify 2.0 into 2.0
53.164 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.164 * [taylor]: Taking taylor expansion of i in alpha
53.164 * [backup-simplify]: Simplify i into i
53.164 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.164 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.164 * [taylor]: Taking taylor expansion of beta in alpha
53.164 * [backup-simplify]: Simplify beta into beta
53.164 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.164 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.164 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.164 * [taylor]: Taking taylor expansion of alpha in alpha
53.164 * [backup-simplify]: Simplify 0 into 0
53.164 * [backup-simplify]: Simplify 1 into 1
53.165 * [backup-simplify]: Simplify (/ 1 1) into 1
53.165 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.165 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.165 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.165 * [backup-simplify]: Simplify 2.0 into 2.0
53.165 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.165 * [taylor]: Taking taylor expansion of i in alpha
53.165 * [backup-simplify]: Simplify i into i
53.165 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.165 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.165 * [taylor]: Taking taylor expansion of beta in alpha
53.165 * [backup-simplify]: Simplify beta into beta
53.165 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.166 * [backup-simplify]: Simplify (* 1 1) into 1
53.166 * [backup-simplify]: Simplify (+ 1 0) into 1
53.166 * [backup-simplify]: Simplify (- 1) into -1
53.167 * [backup-simplify]: Simplify (+ 0 -1) into -1
53.167 * [backup-simplify]: Simplify (+ 1 0) into 1
53.168 * [backup-simplify]: Simplify (* -1 1) into -1
53.168 * [backup-simplify]: Simplify (* 1 -1) into -1
53.169 * [backup-simplify]: Simplify (/ 1 -1) into -1
53.169 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
53.169 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
53.169 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.169 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.169 * [backup-simplify]: Simplify 2.0 into 2.0
53.169 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.169 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.169 * [taylor]: Taking taylor expansion of alpha in alpha
53.169 * [backup-simplify]: Simplify 0 into 0
53.169 * [backup-simplify]: Simplify 1 into 1
53.169 * [backup-simplify]: Simplify (/ 1 1) into 1
53.169 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.170 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.170 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.170 * [backup-simplify]: Simplify 2.0 into 2.0
53.170 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.170 * [taylor]: Taking taylor expansion of i in alpha
53.170 * [backup-simplify]: Simplify i into i
53.170 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.170 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.170 * [taylor]: Taking taylor expansion of beta in alpha
53.170 * [backup-simplify]: Simplify beta into beta
53.170 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.170 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
53.170 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.170 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.170 * [taylor]: Taking taylor expansion of alpha in alpha
53.170 * [backup-simplify]: Simplify 0 into 0
53.170 * [backup-simplify]: Simplify 1 into 1
53.171 * [backup-simplify]: Simplify (/ 1 1) into 1
53.171 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.171 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.171 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.171 * [backup-simplify]: Simplify 2.0 into 2.0
53.171 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.171 * [taylor]: Taking taylor expansion of i in alpha
53.171 * [backup-simplify]: Simplify i into i
53.171 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.171 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.171 * [taylor]: Taking taylor expansion of beta in alpha
53.171 * [backup-simplify]: Simplify beta into beta
53.171 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.171 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
53.171 * [taylor]: Taking taylor expansion of beta in alpha
53.171 * [backup-simplify]: Simplify beta into beta
53.172 * [backup-simplify]: Simplify (+ 1 0) into 1
53.172 * [backup-simplify]: Simplify (- 1) into -1
53.172 * [backup-simplify]: Simplify (+ 0 -1) into -1
53.173 * [backup-simplify]: Simplify (+ 1 0) into 1
53.173 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.173 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
53.173 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
53.174 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
53.174 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
53.174 * [backup-simplify]: Simplify (+ 0 0) into 0
53.174 * [taylor]: Taking taylor expansion of 0 in beta
53.175 * [backup-simplify]: Simplify 0 into 0
53.175 * [taylor]: Taking taylor expansion of 0 in i
53.175 * [backup-simplify]: Simplify 0 into 0
53.175 * [backup-simplify]: Simplify 0 into 0
53.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.183 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
53.183 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.183 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.184 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
53.184 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.185 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.185 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
53.185 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
53.186 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
53.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.188 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
53.188 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
53.188 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
53.189 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
53.189 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
53.189 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
53.189 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
53.189 * [taylor]: Taking taylor expansion of 4.0 in beta
53.189 * [backup-simplify]: Simplify 4.0 into 4.0
53.189 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.189 * [taylor]: Taking taylor expansion of i in beta
53.189 * [backup-simplify]: Simplify i into i
53.189 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.189 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
53.189 * [taylor]: Taking taylor expansion of 2 in beta
53.189 * [backup-simplify]: Simplify 2 into 2
53.189 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.189 * [taylor]: Taking taylor expansion of beta in beta
53.189 * [backup-simplify]: Simplify 0 into 0
53.189 * [backup-simplify]: Simplify 1 into 1
53.190 * [backup-simplify]: Simplify (/ 1 1) into 1
53.190 * [taylor]: Taking taylor expansion of 2.0 in beta
53.190 * [backup-simplify]: Simplify 2.0 into 2.0
53.190 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
53.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.191 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
53.191 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
53.192 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
53.192 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
53.192 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
53.192 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
53.192 * [taylor]: Taking taylor expansion of 4.0 in i
53.192 * [backup-simplify]: Simplify 4.0 into 4.0
53.192 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.192 * [taylor]: Taking taylor expansion of i in i
53.192 * [backup-simplify]: Simplify 0 into 0
53.192 * [backup-simplify]: Simplify 1 into 1
53.193 * [backup-simplify]: Simplify (/ 1 1) into 1
53.193 * [taylor]: Taking taylor expansion of 2.0 in i
53.193 * [backup-simplify]: Simplify 2.0 into 2.0
53.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.194 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
53.194 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
53.195 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
53.195 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
53.195 * [taylor]: Taking taylor expansion of 0 in i
53.195 * [backup-simplify]: Simplify 0 into 0
53.195 * [backup-simplify]: Simplify 0 into 0
53.195 * [backup-simplify]: Simplify 0 into 0
53.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.196 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.197 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
53.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
53.197 * [backup-simplify]: Simplify (+ 0 0) into 0
53.197 * [backup-simplify]: Simplify (+ 0 0) into 0
53.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.199 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
53.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
53.199 * [backup-simplify]: Simplify (+ 0 0) into 0
53.200 * [backup-simplify]: Simplify (+ 0 0) into 0
53.200 * [backup-simplify]: Simplify (- 0) into 0
53.200 * [backup-simplify]: Simplify (+ 0 0) into 0
53.201 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
53.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.203 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
53.205 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
53.207 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
53.207 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
53.208 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
53.208 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
53.209 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
53.209 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
53.209 * [taylor]: Taking taylor expansion of 12.0 in beta
53.209 * [backup-simplify]: Simplify 12.0 into 12.0
53.209 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.209 * [taylor]: Taking taylor expansion of i in beta
53.209 * [backup-simplify]: Simplify i into i
53.209 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.209 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
53.209 * [taylor]: Taking taylor expansion of 6.0 in beta
53.209 * [backup-simplify]: Simplify 6.0 into 6.0
53.209 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.209 * [taylor]: Taking taylor expansion of beta in beta
53.209 * [backup-simplify]: Simplify 0 into 0
53.209 * [backup-simplify]: Simplify 1 into 1
53.210 * [backup-simplify]: Simplify (/ 1 1) into 1
53.210 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
53.210 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
53.210 * [taylor]: Taking taylor expansion of 12.0 in beta
53.210 * [backup-simplify]: Simplify 12.0 into 12.0
53.210 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
53.210 * [taylor]: Taking taylor expansion of (pow i 2) in beta
53.210 * [taylor]: Taking taylor expansion of i in beta
53.210 * [backup-simplify]: Simplify i into i
53.210 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.210 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
53.210 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
53.210 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
53.210 * [taylor]: Taking taylor expansion of 12.0 in beta
53.210 * [backup-simplify]: Simplify 12.0 into 12.0
53.210 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
53.210 * [taylor]: Taking taylor expansion of (* i beta) in beta
53.211 * [taylor]: Taking taylor expansion of i in beta
53.211 * [backup-simplify]: Simplify i into i
53.211 * [taylor]: Taking taylor expansion of beta in beta
53.211 * [backup-simplify]: Simplify 0 into 0
53.211 * [backup-simplify]: Simplify 1 into 1
53.211 * [backup-simplify]: Simplify (* i 0) into 0
53.213 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
53.213 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.213 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
53.213 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
53.213 * [taylor]: Taking taylor expansion of 2 in beta
53.213 * [backup-simplify]: Simplify 2 into 2
53.213 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
53.213 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.213 * [taylor]: Taking taylor expansion of beta in beta
53.213 * [backup-simplify]: Simplify 0 into 0
53.213 * [backup-simplify]: Simplify 1 into 1
53.214 * [backup-simplify]: Simplify (* 1 1) into 1
53.214 * [backup-simplify]: Simplify (/ 1 1) into 1
53.214 * [taylor]: Taking taylor expansion of 4.0 in beta
53.214 * [backup-simplify]: Simplify 4.0 into 4.0
53.215 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
53.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.216 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
53.216 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
53.216 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
53.217 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
53.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.218 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
53.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.306 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
53.306 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
53.307 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
53.315 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
53.315 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
53.316 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
53.316 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
53.316 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
53.316 * [taylor]: Taking taylor expansion of 12.0 in i
53.316 * [backup-simplify]: Simplify 12.0 into 12.0
53.316 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.316 * [taylor]: Taking taylor expansion of i in i
53.316 * [backup-simplify]: Simplify 0 into 0
53.316 * [backup-simplify]: Simplify 1 into 1
53.317 * [backup-simplify]: Simplify (/ 1 1) into 1
53.317 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
53.317 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
53.317 * [taylor]: Taking taylor expansion of 12.0 in i
53.317 * [backup-simplify]: Simplify 12.0 into 12.0
53.317 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
53.317 * [taylor]: Taking taylor expansion of (pow i 2) in i
53.317 * [taylor]: Taking taylor expansion of i in i
53.317 * [backup-simplify]: Simplify 0 into 0
53.317 * [backup-simplify]: Simplify 1 into 1
53.317 * [backup-simplify]: Simplify (* 1 1) into 1
53.318 * [backup-simplify]: Simplify (/ 1 1) into 1
53.318 * [taylor]: Taking taylor expansion of 4.0 in i
53.318 * [backup-simplify]: Simplify 4.0 into 4.0
53.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.320 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
53.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.329 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
53.329 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
53.330 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
53.332 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
53.332 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
53.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.333 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
53.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.335 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
53.336 * [backup-simplify]: Simplify (+ 0 0) into 0
53.336 * [backup-simplify]: Simplify (- 0) into 0
53.337 * [backup-simplify]: Simplify (+ 0 0) into 0
53.337 * [taylor]: Taking taylor expansion of 0 in i
53.337 * [backup-simplify]: Simplify 0 into 0
53.337 * [backup-simplify]: Simplify 0 into 0
53.337 * [taylor]: Taking taylor expansion of 0 in i
53.337 * [backup-simplify]: Simplify 0 into 0
53.337 * [backup-simplify]: Simplify 0 into 0
53.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.339 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
53.340 * [backup-simplify]: Simplify (- 0) into 0
53.340 * [backup-simplify]: Simplify (+ 0 0) into 0
53.340 * [backup-simplify]: Simplify 0 into 0
53.340 * [backup-simplify]: Simplify 0 into 0
53.340 * [backup-simplify]: Simplify 0 into 0
53.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
53.342 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
53.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
53.343 * [backup-simplify]: Simplify (+ 0 0) into 0
53.343 * [backup-simplify]: Simplify (+ 0 0) into 0
53.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
53.345 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
53.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
53.346 * [backup-simplify]: Simplify (+ 0 0) into 0
53.346 * [backup-simplify]: Simplify (+ 0 0) into 0
53.346 * [backup-simplify]: Simplify (- 0) into 0
53.347 * [backup-simplify]: Simplify (+ 0 0) into 0
53.348 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
53.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
53.358 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
53.361 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
53.362 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
53.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.363 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
53.363 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.363 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.364 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
53.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.366 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
53.366 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.366 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.366 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
53.366 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
53.367 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
53.369 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
53.370 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
53.374 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
53.374 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
53.374 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
53.374 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
53.374 * [taylor]: Taking taylor expansion of 20.0 in beta
53.374 * [backup-simplify]: Simplify 20.0 into 20.0
53.374 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
53.374 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
53.374 * [taylor]: Taking taylor expansion of i in beta
53.374 * [backup-simplify]: Simplify i into i
53.374 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.374 * [taylor]: Taking taylor expansion of beta in beta
53.374 * [backup-simplify]: Simplify 0 into 0
53.374 * [backup-simplify]: Simplify 1 into 1
53.375 * [backup-simplify]: Simplify (* 1 1) into 1
53.375 * [backup-simplify]: Simplify (* i 1) into i
53.375 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.375 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
53.375 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
53.375 * [taylor]: Taking taylor expansion of 2 in beta
53.375 * [backup-simplify]: Simplify 2 into 2
53.375 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
53.375 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
53.375 * [taylor]: Taking taylor expansion of beta in beta
53.375 * [backup-simplify]: Simplify 0 into 0
53.375 * [backup-simplify]: Simplify 1 into 1
53.376 * [backup-simplify]: Simplify (* 1 1) into 1
53.376 * [backup-simplify]: Simplify (* 1 1) into 1
53.376 * [backup-simplify]: Simplify (/ 1 1) into 1
53.377 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
53.377 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
53.377 * [taylor]: Taking taylor expansion of 48.0 in beta
53.377 * [backup-simplify]: Simplify 48.0 into 48.0
53.377 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
53.377 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
53.377 * [taylor]: Taking taylor expansion of (pow i 2) in beta
53.377 * [taylor]: Taking taylor expansion of i in beta
53.377 * [backup-simplify]: Simplify i into i
53.377 * [taylor]: Taking taylor expansion of beta in beta
53.377 * [backup-simplify]: Simplify 0 into 0
53.377 * [backup-simplify]: Simplify 1 into 1
53.377 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.377 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
53.377 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
53.378 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
53.378 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
53.378 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
53.378 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
53.378 * [taylor]: Taking taylor expansion of 32.0 in beta
53.378 * [backup-simplify]: Simplify 32.0 into 32.0
53.378 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.378 * [taylor]: Taking taylor expansion of i in beta
53.378 * [backup-simplify]: Simplify i into i
53.378 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.378 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
53.379 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
53.379 * [taylor]: Taking taylor expansion of 16.0 in beta
53.379 * [backup-simplify]: Simplify 16.0 into 16.0
53.379 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.379 * [taylor]: Taking taylor expansion of beta in beta
53.379 * [backup-simplify]: Simplify 0 into 0
53.379 * [backup-simplify]: Simplify 1 into 1
53.379 * [backup-simplify]: Simplify (/ 1 1) into 1
53.379 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
53.379 * [taylor]: Taking taylor expansion of 32.0 in beta
53.379 * [backup-simplify]: Simplify 32.0 into 32.0
53.380 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
53.380 * [taylor]: Taking taylor expansion of (pow i 3) in beta
53.380 * [taylor]: Taking taylor expansion of i in beta
53.380 * [backup-simplify]: Simplify i into i
53.380 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.380 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
53.380 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
53.380 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
53.380 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
53.380 * [taylor]: Taking taylor expansion of 10.0 in beta
53.380 * [backup-simplify]: Simplify 10.0 into 10.0
53.380 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
53.380 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.380 * [taylor]: Taking taylor expansion of beta in beta
53.380 * [backup-simplify]: Simplify 0 into 0
53.381 * [backup-simplify]: Simplify 1 into 1
53.381 * [backup-simplify]: Simplify (* 1 1) into 1
53.382 * [backup-simplify]: Simplify (/ 1 1) into 1
53.382 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
53.382 * [taylor]: Taking taylor expansion of 8.0 in beta
53.382 * [backup-simplify]: Simplify 8.0 into 8.0
53.382 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
53.382 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
53.382 * [taylor]: Taking taylor expansion of 48.0 in beta
53.382 * [backup-simplify]: Simplify 48.0 into 48.0
53.382 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
53.382 * [taylor]: Taking taylor expansion of (pow i 2) in beta
53.382 * [taylor]: Taking taylor expansion of i in beta
53.382 * [backup-simplify]: Simplify i into i
53.382 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.383 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
53.383 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
53.383 * [taylor]: Taking taylor expansion of 48.0 in beta
53.383 * [backup-simplify]: Simplify 48.0 into 48.0
53.383 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
53.383 * [taylor]: Taking taylor expansion of (* i beta) in beta
53.383 * [taylor]: Taking taylor expansion of i in beta
53.383 * [backup-simplify]: Simplify i into i
53.383 * [taylor]: Taking taylor expansion of beta in beta
53.383 * [backup-simplify]: Simplify 0 into 0
53.383 * [backup-simplify]: Simplify 1 into 1
53.383 * [backup-simplify]: Simplify (* i 0) into 0
53.384 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
53.384 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.385 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.387 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
53.388 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
53.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
53.389 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
53.390 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.394 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.400 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.401 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
53.401 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
53.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
53.402 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
53.403 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
53.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.404 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
53.405 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
53.405 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
53.405 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
53.406 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.406 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.406 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.410 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.415 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
53.416 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
53.417 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
53.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.417 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
53.418 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
53.418 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
53.418 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
53.427 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
53.427 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
53.427 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
53.427 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
53.427 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
53.428 * [taylor]: Taking taylor expansion of 32.0 in i
53.428 * [backup-simplify]: Simplify 32.0 into 32.0
53.428 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.428 * [taylor]: Taking taylor expansion of i in i
53.428 * [backup-simplify]: Simplify 0 into 0
53.428 * [backup-simplify]: Simplify 1 into 1
53.428 * [backup-simplify]: Simplify (/ 1 1) into 1
53.428 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
53.428 * [taylor]: Taking taylor expansion of 32.0 in i
53.428 * [backup-simplify]: Simplify 32.0 into 32.0
53.428 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
53.428 * [taylor]: Taking taylor expansion of (pow i 3) in i
53.429 * [taylor]: Taking taylor expansion of i in i
53.429 * [backup-simplify]: Simplify 0 into 0
53.429 * [backup-simplify]: Simplify 1 into 1
53.429 * [backup-simplify]: Simplify (* 1 1) into 1
53.429 * [backup-simplify]: Simplify (* 1 1) into 1
53.430 * [backup-simplify]: Simplify (/ 1 1) into 1
53.430 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
53.430 * [taylor]: Taking taylor expansion of 8.0 in i
53.430 * [backup-simplify]: Simplify 8.0 into 8.0
53.430 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
53.430 * [taylor]: Taking taylor expansion of 48.0 in i
53.430 * [backup-simplify]: Simplify 48.0 into 48.0
53.430 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
53.430 * [taylor]: Taking taylor expansion of (pow i 2) in i
53.430 * [taylor]: Taking taylor expansion of i in i
53.430 * [backup-simplify]: Simplify 0 into 0
53.430 * [backup-simplify]: Simplify 1 into 1
53.431 * [backup-simplify]: Simplify (* 1 1) into 1
53.431 * [backup-simplify]: Simplify (/ 1 1) into 1
53.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.439 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
53.440 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.457 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.458 * [backup-simplify]: Simplify (+ 0 0) into 0
53.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.460 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.471 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
53.473 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
53.474 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
53.475 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
53.476 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
53.486 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
53.487 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
53.488 * [backup-simplify]: Simplify (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
53.488 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
53.488 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
53.488 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
53.488 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
53.488 * [taylor]: Taking taylor expansion of (pow beta 2) in i
53.488 * [taylor]: Taking taylor expansion of beta in i
53.488 * [backup-simplify]: Simplify beta into beta
53.488 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
53.488 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
53.488 * [taylor]: Taking taylor expansion of alpha in i
53.488 * [backup-simplify]: Simplify alpha into alpha
53.488 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
53.489 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
53.489 * [taylor]: Taking taylor expansion of 2.0 in i
53.489 * [backup-simplify]: Simplify 2.0 into 2.0
53.489 * [taylor]: Taking taylor expansion of i in i
53.489 * [backup-simplify]: Simplify 0 into 0
53.489 * [backup-simplify]: Simplify 1 into 1
53.489 * [taylor]: Taking taylor expansion of beta in i
53.489 * [backup-simplify]: Simplify beta into beta
53.489 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
53.489 * [taylor]: Taking taylor expansion of alpha in i
53.489 * [backup-simplify]: Simplify alpha into alpha
53.489 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
53.489 * [taylor]: Taking taylor expansion of 2.0 in i
53.489 * [backup-simplify]: Simplify 2.0 into 2.0
53.489 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
53.489 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
53.489 * [taylor]: Taking taylor expansion of 2.0 in i
53.489 * [backup-simplify]: Simplify 2.0 into 2.0
53.489 * [taylor]: Taking taylor expansion of i in i
53.489 * [backup-simplify]: Simplify 0 into 0
53.489 * [backup-simplify]: Simplify 1 into 1
53.489 * [taylor]: Taking taylor expansion of beta in i
53.489 * [backup-simplify]: Simplify beta into beta
53.489 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.490 * [backup-simplify]: Simplify (* 2.0 0) into 0
53.490 * [backup-simplify]: Simplify (+ 0 beta) into beta
53.490 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
53.491 * [backup-simplify]: Simplify (* 2.0 0) into 0
53.491 * [backup-simplify]: Simplify (+ 0 beta) into beta
53.491 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
53.491 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
53.491 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
53.492 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
53.492 * [taylor]: Taking taylor expansion of 1.0 in i
53.492 * [backup-simplify]: Simplify 1.0 into 1.0
53.492 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
53.492 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
53.492 * [taylor]: Taking taylor expansion of alpha in i
53.492 * [backup-simplify]: Simplify alpha into alpha
53.492 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
53.492 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
53.492 * [taylor]: Taking taylor expansion of alpha in i
53.492 * [backup-simplify]: Simplify alpha into alpha
53.492 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
53.492 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
53.492 * [taylor]: Taking taylor expansion of 2.0 in i
53.492 * [backup-simplify]: Simplify 2.0 into 2.0
53.492 * [taylor]: Taking taylor expansion of i in i
53.492 * [backup-simplify]: Simplify 0 into 0
53.492 * [backup-simplify]: Simplify 1 into 1
53.492 * [taylor]: Taking taylor expansion of beta in i
53.492 * [backup-simplify]: Simplify beta into beta
53.492 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
53.492 * [taylor]: Taking taylor expansion of alpha in i
53.492 * [backup-simplify]: Simplify alpha into alpha
53.492 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
53.492 * [taylor]: Taking taylor expansion of 2.0 in i
53.493 * [backup-simplify]: Simplify 2.0 into 2.0
53.493 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
53.493 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
53.493 * [taylor]: Taking taylor expansion of 2.0 in i
53.493 * [backup-simplify]: Simplify 2.0 into 2.0
53.493 * [taylor]: Taking taylor expansion of i in i
53.493 * [backup-simplify]: Simplify 0 into 0
53.493 * [backup-simplify]: Simplify 1 into 1
53.493 * [taylor]: Taking taylor expansion of beta in i
53.493 * [backup-simplify]: Simplify beta into beta
53.493 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
53.494 * [backup-simplify]: Simplify (* 2.0 0) into 0
53.494 * [backup-simplify]: Simplify (+ 0 beta) into beta
53.494 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
53.503 * [backup-simplify]: Simplify (* 2.0 0) into 0
53.503 * [backup-simplify]: Simplify (+ 0 beta) into beta
53.503 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
53.503 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
53.503 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
53.504 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
53.504 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
53.504 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
53.504 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
53.504 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.504 * [taylor]: Taking taylor expansion of beta in beta
53.504 * [backup-simplify]: Simplify 0 into 0
53.504 * [backup-simplify]: Simplify 1 into 1
53.504 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
53.504 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
53.504 * [taylor]: Taking taylor expansion of alpha in beta
53.504 * [backup-simplify]: Simplify alpha into alpha
53.504 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.504 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.504 * [taylor]: Taking taylor expansion of 2.0 in beta
53.504 * [backup-simplify]: Simplify 2.0 into 2.0
53.504 * [taylor]: Taking taylor expansion of i in beta
53.504 * [backup-simplify]: Simplify i into i
53.504 * [taylor]: Taking taylor expansion of beta in beta
53.504 * [backup-simplify]: Simplify 0 into 0
53.504 * [backup-simplify]: Simplify 1 into 1
53.504 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
53.505 * [taylor]: Taking taylor expansion of alpha in beta
53.505 * [backup-simplify]: Simplify alpha into alpha
53.505 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
53.505 * [taylor]: Taking taylor expansion of 2.0 in beta
53.505 * [backup-simplify]: Simplify 2.0 into 2.0
53.505 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.505 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.505 * [taylor]: Taking taylor expansion of 2.0 in beta
53.505 * [backup-simplify]: Simplify 2.0 into 2.0
53.505 * [taylor]: Taking taylor expansion of i in beta
53.505 * [backup-simplify]: Simplify i into i
53.505 * [taylor]: Taking taylor expansion of beta in beta
53.505 * [backup-simplify]: Simplify 0 into 0
53.505 * [backup-simplify]: Simplify 1 into 1
53.506 * [backup-simplify]: Simplify (* 1 1) into 1
53.506 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.506 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.506 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
53.506 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.506 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.506 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
53.507 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
53.507 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
53.507 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
53.507 * [taylor]: Taking taylor expansion of 1.0 in beta
53.507 * [backup-simplify]: Simplify 1.0 into 1.0
53.507 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
53.507 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
53.507 * [taylor]: Taking taylor expansion of alpha in beta
53.507 * [backup-simplify]: Simplify alpha into alpha
53.507 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
53.507 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
53.507 * [taylor]: Taking taylor expansion of alpha in beta
53.507 * [backup-simplify]: Simplify alpha into alpha
53.507 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.508 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.508 * [taylor]: Taking taylor expansion of 2.0 in beta
53.508 * [backup-simplify]: Simplify 2.0 into 2.0
53.508 * [taylor]: Taking taylor expansion of i in beta
53.508 * [backup-simplify]: Simplify i into i
53.508 * [taylor]: Taking taylor expansion of beta in beta
53.508 * [backup-simplify]: Simplify 0 into 0
53.508 * [backup-simplify]: Simplify 1 into 1
53.508 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
53.508 * [taylor]: Taking taylor expansion of alpha in beta
53.508 * [backup-simplify]: Simplify alpha into alpha
53.508 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
53.508 * [taylor]: Taking taylor expansion of 2.0 in beta
53.508 * [backup-simplify]: Simplify 2.0 into 2.0
53.508 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.508 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.508 * [taylor]: Taking taylor expansion of 2.0 in beta
53.508 * [backup-simplify]: Simplify 2.0 into 2.0
53.508 * [taylor]: Taking taylor expansion of i in beta
53.508 * [backup-simplify]: Simplify i into i
53.508 * [taylor]: Taking taylor expansion of beta in beta
53.508 * [backup-simplify]: Simplify 0 into 0
53.508 * [backup-simplify]: Simplify 1 into 1
53.508 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
53.508 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.508 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.509 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
53.509 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.509 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.509 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
53.509 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
53.509 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
53.510 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
53.510 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
53.510 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
53.510 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
53.510 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
53.510 * [taylor]: Taking taylor expansion of beta in alpha
53.510 * [backup-simplify]: Simplify beta into beta
53.510 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
53.510 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
53.510 * [taylor]: Taking taylor expansion of alpha in alpha
53.510 * [backup-simplify]: Simplify 0 into 0
53.510 * [backup-simplify]: Simplify 1 into 1
53.510 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
53.510 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
53.510 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.519 * [backup-simplify]: Simplify 2.0 into 2.0
53.519 * [taylor]: Taking taylor expansion of i in alpha
53.519 * [backup-simplify]: Simplify i into i
53.519 * [taylor]: Taking taylor expansion of beta in alpha
53.519 * [backup-simplify]: Simplify beta into beta
53.519 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
53.519 * [taylor]: Taking taylor expansion of alpha in alpha
53.519 * [backup-simplify]: Simplify 0 into 0
53.519 * [backup-simplify]: Simplify 1 into 1
53.519 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
53.519 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.519 * [backup-simplify]: Simplify 2.0 into 2.0
53.519 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
53.519 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
53.519 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.519 * [backup-simplify]: Simplify 2.0 into 2.0
53.519 * [taylor]: Taking taylor expansion of i in alpha
53.519 * [backup-simplify]: Simplify i into i
53.519 * [taylor]: Taking taylor expansion of beta in alpha
53.519 * [backup-simplify]: Simplify beta into beta
53.519 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.519 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.520 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
53.520 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
53.520 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.520 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
53.520 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
53.520 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
53.520 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
53.521 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
53.521 * [taylor]: Taking taylor expansion of 1.0 in alpha
53.521 * [backup-simplify]: Simplify 1.0 into 1.0
53.521 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
53.521 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
53.521 * [taylor]: Taking taylor expansion of alpha in alpha
53.521 * [backup-simplify]: Simplify 0 into 0
53.521 * [backup-simplify]: Simplify 1 into 1
53.521 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
53.521 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
53.521 * [taylor]: Taking taylor expansion of alpha in alpha
53.521 * [backup-simplify]: Simplify 0 into 0
53.521 * [backup-simplify]: Simplify 1 into 1
53.521 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
53.521 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
53.521 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.521 * [backup-simplify]: Simplify 2.0 into 2.0
53.521 * [taylor]: Taking taylor expansion of i in alpha
53.521 * [backup-simplify]: Simplify i into i
53.521 * [taylor]: Taking taylor expansion of beta in alpha
53.522 * [backup-simplify]: Simplify beta into beta
53.522 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
53.522 * [taylor]: Taking taylor expansion of alpha in alpha
53.522 * [backup-simplify]: Simplify 0 into 0
53.522 * [backup-simplify]: Simplify 1 into 1
53.522 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
53.522 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.522 * [backup-simplify]: Simplify 2.0 into 2.0
53.522 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
53.522 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
53.522 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.522 * [backup-simplify]: Simplify 2.0 into 2.0
53.522 * [taylor]: Taking taylor expansion of i in alpha
53.522 * [backup-simplify]: Simplify i into i
53.522 * [taylor]: Taking taylor expansion of beta in alpha
53.522 * [backup-simplify]: Simplify beta into beta
53.523 * [backup-simplify]: Simplify (* 1 1) into 1
53.523 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.523 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
53.523 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
53.523 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.523 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
53.523 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
53.523 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
53.524 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
53.524 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
53.524 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
53.524 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
53.524 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
53.524 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
53.524 * [taylor]: Taking taylor expansion of beta in alpha
53.524 * [backup-simplify]: Simplify beta into beta
53.524 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
53.524 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
53.524 * [taylor]: Taking taylor expansion of alpha in alpha
53.524 * [backup-simplify]: Simplify 0 into 0
53.524 * [backup-simplify]: Simplify 1 into 1
53.524 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
53.524 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
53.524 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.525 * [backup-simplify]: Simplify 2.0 into 2.0
53.525 * [taylor]: Taking taylor expansion of i in alpha
53.525 * [backup-simplify]: Simplify i into i
53.525 * [taylor]: Taking taylor expansion of beta in alpha
53.525 * [backup-simplify]: Simplify beta into beta
53.525 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
53.525 * [taylor]: Taking taylor expansion of alpha in alpha
53.525 * [backup-simplify]: Simplify 0 into 0
53.525 * [backup-simplify]: Simplify 1 into 1
53.525 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
53.525 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.525 * [backup-simplify]: Simplify 2.0 into 2.0
53.525 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
53.525 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
53.525 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.525 * [backup-simplify]: Simplify 2.0 into 2.0
53.525 * [taylor]: Taking taylor expansion of i in alpha
53.525 * [backup-simplify]: Simplify i into i
53.525 * [taylor]: Taking taylor expansion of beta in alpha
53.525 * [backup-simplify]: Simplify beta into beta
53.525 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.525 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.525 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
53.526 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
53.526 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.526 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
53.526 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
53.526 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
53.526 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
53.533 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
53.533 * [taylor]: Taking taylor expansion of 1.0 in alpha
53.533 * [backup-simplify]: Simplify 1.0 into 1.0
53.533 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
53.533 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
53.533 * [taylor]: Taking taylor expansion of alpha in alpha
53.533 * [backup-simplify]: Simplify 0 into 0
53.533 * [backup-simplify]: Simplify 1 into 1
53.533 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
53.533 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
53.533 * [taylor]: Taking taylor expansion of alpha in alpha
53.533 * [backup-simplify]: Simplify 0 into 0
53.533 * [backup-simplify]: Simplify 1 into 1
53.533 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
53.533 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
53.533 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.534 * [backup-simplify]: Simplify 2.0 into 2.0
53.534 * [taylor]: Taking taylor expansion of i in alpha
53.534 * [backup-simplify]: Simplify i into i
53.534 * [taylor]: Taking taylor expansion of beta in alpha
53.534 * [backup-simplify]: Simplify beta into beta
53.534 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
53.534 * [taylor]: Taking taylor expansion of alpha in alpha
53.534 * [backup-simplify]: Simplify 0 into 0
53.534 * [backup-simplify]: Simplify 1 into 1
53.534 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
53.534 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.534 * [backup-simplify]: Simplify 2.0 into 2.0
53.534 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
53.534 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
53.534 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.534 * [backup-simplify]: Simplify 2.0 into 2.0
53.534 * [taylor]: Taking taylor expansion of i in alpha
53.534 * [backup-simplify]: Simplify i into i
53.534 * [taylor]: Taking taylor expansion of beta in alpha
53.534 * [backup-simplify]: Simplify beta into beta
53.535 * [backup-simplify]: Simplify (* 1 1) into 1
53.535 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.535 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
53.535 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
53.535 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.535 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
53.535 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
53.536 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
53.536 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
53.536 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
53.537 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
53.537 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
53.537 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
53.537 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
53.537 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.537 * [taylor]: Taking taylor expansion of beta in beta
53.537 * [backup-simplify]: Simplify 0 into 0
53.537 * [backup-simplify]: Simplify 1 into 1
53.537 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
53.537 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.538 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.538 * [taylor]: Taking taylor expansion of 2.0 in beta
53.538 * [backup-simplify]: Simplify 2.0 into 2.0
53.538 * [taylor]: Taking taylor expansion of i in beta
53.538 * [backup-simplify]: Simplify i into i
53.538 * [taylor]: Taking taylor expansion of beta in beta
53.538 * [backup-simplify]: Simplify 0 into 0
53.538 * [backup-simplify]: Simplify 1 into 1
53.538 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.538 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.538 * [taylor]: Taking taylor expansion of 2.0 in beta
53.538 * [backup-simplify]: Simplify 2.0 into 2.0
53.538 * [taylor]: Taking taylor expansion of i in beta
53.538 * [backup-simplify]: Simplify i into i
53.538 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.538 * [taylor]: Taking taylor expansion of beta in beta
53.538 * [backup-simplify]: Simplify 0 into 0
53.538 * [backup-simplify]: Simplify 1 into 1
53.538 * [taylor]: Taking taylor expansion of 2.0 in beta
53.538 * [backup-simplify]: Simplify 2.0 into 2.0
53.547 * [backup-simplify]: Simplify (* 1 1) into 1
53.547 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.547 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.547 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.548 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.548 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.548 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
53.549 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
53.549 * [taylor]: Taking taylor expansion of 1.0 in beta
53.549 * [backup-simplify]: Simplify 1.0 into 1.0
53.549 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
53.549 * [taylor]: Taking taylor expansion of 1.0 in i
53.549 * [backup-simplify]: Simplify 1.0 into 1.0
53.549 * [backup-simplify]: Simplify 1.0 into 1.0
53.549 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
53.550 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
53.550 * [backup-simplify]: Simplify (+ 0 0) into 0
53.551 * [backup-simplify]: Simplify (+ 0 0) into 0
53.551 * [backup-simplify]: Simplify (+ 1 0) into 1
53.552 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
53.552 * [backup-simplify]: Simplify (+ 0 0) into 0
53.552 * [backup-simplify]: Simplify (+ 1 0) into 1
53.553 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
53.555 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
53.559 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
53.563 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
53.563 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
53.563 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
53.563 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
53.563 * [taylor]: Taking taylor expansion of 4.0 in beta
53.563 * [backup-simplify]: Simplify 4.0 into 4.0
53.563 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
53.563 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
53.563 * [taylor]: Taking taylor expansion of i in beta
53.563 * [backup-simplify]: Simplify i into i
53.563 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.563 * [taylor]: Taking taylor expansion of beta in beta
53.563 * [backup-simplify]: Simplify 0 into 0
53.563 * [backup-simplify]: Simplify 1 into 1
53.563 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
53.563 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
53.563 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.563 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.563 * [taylor]: Taking taylor expansion of 2.0 in beta
53.563 * [backup-simplify]: Simplify 2.0 into 2.0
53.563 * [taylor]: Taking taylor expansion of i in beta
53.564 * [backup-simplify]: Simplify i into i
53.564 * [taylor]: Taking taylor expansion of beta in beta
53.564 * [backup-simplify]: Simplify 0 into 0
53.564 * [backup-simplify]: Simplify 1 into 1
53.564 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.564 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.564 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
53.564 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.564 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.564 * [taylor]: Taking taylor expansion of 2.0 in beta
53.564 * [backup-simplify]: Simplify 2.0 into 2.0
53.564 * [taylor]: Taking taylor expansion of i in beta
53.564 * [backup-simplify]: Simplify i into i
53.564 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.564 * [taylor]: Taking taylor expansion of beta in beta
53.564 * [backup-simplify]: Simplify 0 into 0
53.564 * [backup-simplify]: Simplify 1 into 1
53.564 * [taylor]: Taking taylor expansion of 2.0 in beta
53.564 * [backup-simplify]: Simplify 2.0 into 2.0
53.564 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.565 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.565 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.566 * [backup-simplify]: Simplify (* 1 1) into 1
53.566 * [backup-simplify]: Simplify (* i 1) into i
53.566 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
53.566 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
53.567 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
53.567 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
53.567 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
53.567 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
53.567 * [taylor]: Taking taylor expansion of 2 in beta
53.567 * [backup-simplify]: Simplify 2 into 2
53.567 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
53.567 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
53.567 * [taylor]: Taking taylor expansion of beta in beta
53.567 * [backup-simplify]: Simplify 0 into 0
53.567 * [backup-simplify]: Simplify 1 into 1
53.567 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
53.567 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
53.568 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.568 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.568 * [taylor]: Taking taylor expansion of 2.0 in beta
53.568 * [backup-simplify]: Simplify 2.0 into 2.0
53.568 * [taylor]: Taking taylor expansion of i in beta
53.568 * [backup-simplify]: Simplify i into i
53.568 * [taylor]: Taking taylor expansion of beta in beta
53.568 * [backup-simplify]: Simplify 0 into 0
53.568 * [backup-simplify]: Simplify 1 into 1
53.568 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.568 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.568 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
53.568 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.568 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.568 * [taylor]: Taking taylor expansion of 2.0 in beta
53.568 * [backup-simplify]: Simplify 2.0 into 2.0
53.568 * [taylor]: Taking taylor expansion of i in beta
53.568 * [backup-simplify]: Simplify i into i
53.568 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.568 * [taylor]: Taking taylor expansion of beta in beta
53.568 * [backup-simplify]: Simplify 0 into 0
53.568 * [backup-simplify]: Simplify 1 into 1
53.568 * [taylor]: Taking taylor expansion of 2.0 in beta
53.568 * [backup-simplify]: Simplify 2.0 into 2.0
53.568 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.569 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.569 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.570 * [backup-simplify]: Simplify (* 1 1) into 1
53.570 * [backup-simplify]: Simplify (* 1 1) into 1
53.570 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
53.570 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
53.571 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
53.571 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
53.571 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
53.571 * [taylor]: Taking taylor expansion of 2.0 in beta
53.571 * [backup-simplify]: Simplify 2.0 into 2.0
53.571 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
53.571 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.571 * [taylor]: Taking taylor expansion of beta in beta
53.571 * [backup-simplify]: Simplify 0 into 0
53.571 * [backup-simplify]: Simplify 1 into 1
53.571 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
53.571 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
53.571 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.571 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.572 * [taylor]: Taking taylor expansion of 2.0 in beta
53.572 * [backup-simplify]: Simplify 2.0 into 2.0
53.572 * [taylor]: Taking taylor expansion of i in beta
53.572 * [backup-simplify]: Simplify i into i
53.572 * [taylor]: Taking taylor expansion of beta in beta
53.572 * [backup-simplify]: Simplify 0 into 0
53.572 * [backup-simplify]: Simplify 1 into 1
53.572 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.572 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.572 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
53.572 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.572 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.572 * [taylor]: Taking taylor expansion of 2.0 in beta
53.572 * [backup-simplify]: Simplify 2.0 into 2.0
53.572 * [taylor]: Taking taylor expansion of i in beta
53.572 * [backup-simplify]: Simplify i into i
53.572 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.572 * [taylor]: Taking taylor expansion of beta in beta
53.572 * [backup-simplify]: Simplify 0 into 0
53.572 * [backup-simplify]: Simplify 1 into 1
53.572 * [taylor]: Taking taylor expansion of 2.0 in beta
53.572 * [backup-simplify]: Simplify 2.0 into 2.0
53.572 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.573 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.573 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.573 * [backup-simplify]: Simplify (* 1 1) into 1
53.574 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
53.574 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
53.574 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
53.575 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
53.576 * [backup-simplify]: Simplify (+ 0 0) into 0
53.576 * [taylor]: Taking taylor expansion of 0 in i
53.576 * [backup-simplify]: Simplify 0 into 0
53.576 * [backup-simplify]: Simplify 0 into 0
53.576 * [backup-simplify]: Simplify 0 into 0
53.577 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
53.578 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
53.598 * [backup-simplify]: Simplify (+ 0 0) into 0
53.599 * [backup-simplify]: Simplify (+ 0 0) into 0
53.599 * [backup-simplify]: Simplify (+ 0 0) into 0
53.600 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
53.601 * [backup-simplify]: Simplify (+ 0 0) into 0
53.601 * [backup-simplify]: Simplify (+ 0 0) into 0
53.602 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
53.610 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
53.624 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
53.624 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
53.636 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
53.636 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
53.636 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
53.636 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
53.636 * [taylor]: Taking taylor expansion of 16.0 in beta
53.636 * [backup-simplify]: Simplify 16.0 into 16.0
53.636 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
53.636 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
53.636 * [taylor]: Taking taylor expansion of (pow i 2) in beta
53.636 * [taylor]: Taking taylor expansion of i in beta
53.636 * [backup-simplify]: Simplify i into i
53.636 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.636 * [taylor]: Taking taylor expansion of beta in beta
53.636 * [backup-simplify]: Simplify 0 into 0
53.636 * [backup-simplify]: Simplify 1 into 1
53.636 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
53.636 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
53.636 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.637 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.637 * [taylor]: Taking taylor expansion of 2.0 in beta
53.637 * [backup-simplify]: Simplify 2.0 into 2.0
53.637 * [taylor]: Taking taylor expansion of i in beta
53.637 * [backup-simplify]: Simplify i into i
53.637 * [taylor]: Taking taylor expansion of beta in beta
53.637 * [backup-simplify]: Simplify 0 into 0
53.637 * [backup-simplify]: Simplify 1 into 1
53.637 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.637 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.637 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
53.637 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.637 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.637 * [taylor]: Taking taylor expansion of 2.0 in beta
53.637 * [backup-simplify]: Simplify 2.0 into 2.0
53.637 * [taylor]: Taking taylor expansion of i in beta
53.637 * [backup-simplify]: Simplify i into i
53.637 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.637 * [taylor]: Taking taylor expansion of beta in beta
53.637 * [backup-simplify]: Simplify 0 into 0
53.637 * [backup-simplify]: Simplify 1 into 1
53.637 * [taylor]: Taking taylor expansion of 2.0 in beta
53.637 * [backup-simplify]: Simplify 2.0 into 2.0
53.637 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.638 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.638 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.638 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.639 * [backup-simplify]: Simplify (* 1 1) into 1
53.639 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
53.639 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
53.639 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
53.640 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
53.640 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
53.640 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
53.641 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
53.641 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
53.641 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
53.641 * [taylor]: Taking taylor expansion of 4 in beta
53.641 * [backup-simplify]: Simplify 4 into 4
53.641 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
53.641 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
53.641 * [taylor]: Taking taylor expansion of beta in beta
53.641 * [backup-simplify]: Simplify 0 into 0
53.641 * [backup-simplify]: Simplify 1 into 1
53.641 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
53.641 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
53.641 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.641 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.641 * [taylor]: Taking taylor expansion of 2.0 in beta
53.641 * [backup-simplify]: Simplify 2.0 into 2.0
53.641 * [taylor]: Taking taylor expansion of i in beta
53.641 * [backup-simplify]: Simplify i into i
53.641 * [taylor]: Taking taylor expansion of beta in beta
53.641 * [backup-simplify]: Simplify 0 into 0
53.641 * [backup-simplify]: Simplify 1 into 1
53.641 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.641 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.642 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
53.642 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.642 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.642 * [taylor]: Taking taylor expansion of 2.0 in beta
53.642 * [backup-simplify]: Simplify 2.0 into 2.0
53.642 * [taylor]: Taking taylor expansion of i in beta
53.642 * [backup-simplify]: Simplify i into i
53.642 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.642 * [taylor]: Taking taylor expansion of beta in beta
53.642 * [backup-simplify]: Simplify 0 into 0
53.642 * [backup-simplify]: Simplify 1 into 1
53.642 * [taylor]: Taking taylor expansion of 2.0 in beta
53.642 * [backup-simplify]: Simplify 2.0 into 2.0
53.642 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.643 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.643 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.643 * [backup-simplify]: Simplify (* 1 1) into 1
53.644 * [backup-simplify]: Simplify (* 1 1) into 1
53.644 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
53.644 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
53.644 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
53.644 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
53.645 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
53.645 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
53.645 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
53.645 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
53.645 * [taylor]: Taking taylor expansion of 8.0 in beta
53.645 * [backup-simplify]: Simplify 8.0 into 8.0
53.645 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
53.645 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
53.645 * [taylor]: Taking taylor expansion of beta in beta
53.645 * [backup-simplify]: Simplify 0 into 0
53.645 * [backup-simplify]: Simplify 1 into 1
53.645 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
53.646 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
53.646 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.646 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.646 * [taylor]: Taking taylor expansion of 2.0 in beta
53.646 * [backup-simplify]: Simplify 2.0 into 2.0
53.646 * [taylor]: Taking taylor expansion of i in beta
53.646 * [backup-simplify]: Simplify i into i
53.646 * [taylor]: Taking taylor expansion of beta in beta
53.646 * [backup-simplify]: Simplify 0 into 0
53.646 * [backup-simplify]: Simplify 1 into 1
53.646 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.646 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.646 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
53.646 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.646 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.646 * [taylor]: Taking taylor expansion of 2.0 in beta
53.646 * [backup-simplify]: Simplify 2.0 into 2.0
53.646 * [taylor]: Taking taylor expansion of i in beta
53.646 * [backup-simplify]: Simplify i into i
53.646 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.646 * [taylor]: Taking taylor expansion of beta in beta
53.646 * [backup-simplify]: Simplify 0 into 0
53.646 * [backup-simplify]: Simplify 1 into 1
53.646 * [taylor]: Taking taylor expansion of 2.0 in beta
53.646 * [backup-simplify]: Simplify 2.0 into 2.0
53.647 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.647 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.647 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.648 * [backup-simplify]: Simplify (* 1 1) into 1
53.648 * [backup-simplify]: Simplify (* 1 1) into 1
53.648 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
53.648 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
53.649 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
53.649 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
53.649 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
53.650 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
53.650 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
53.650 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
53.650 * [taylor]: Taking taylor expansion of 16.0 in beta
53.650 * [backup-simplify]: Simplify 16.0 into 16.0
53.650 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
53.650 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
53.650 * [taylor]: Taking taylor expansion of i in beta
53.650 * [backup-simplify]: Simplify i into i
53.650 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
53.650 * [taylor]: Taking taylor expansion of beta in beta
53.650 * [backup-simplify]: Simplify 0 into 0
53.650 * [backup-simplify]: Simplify 1 into 1
53.650 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
53.650 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
53.650 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.650 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.650 * [taylor]: Taking taylor expansion of 2.0 in beta
53.650 * [backup-simplify]: Simplify 2.0 into 2.0
53.650 * [taylor]: Taking taylor expansion of i in beta
53.650 * [backup-simplify]: Simplify i into i
53.650 * [taylor]: Taking taylor expansion of beta in beta
53.650 * [backup-simplify]: Simplify 0 into 0
53.650 * [backup-simplify]: Simplify 1 into 1
53.650 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.651 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.651 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
53.651 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.651 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.651 * [taylor]: Taking taylor expansion of 2.0 in beta
53.651 * [backup-simplify]: Simplify 2.0 into 2.0
53.651 * [taylor]: Taking taylor expansion of i in beta
53.651 * [backup-simplify]: Simplify i into i
53.651 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.651 * [taylor]: Taking taylor expansion of beta in beta
53.651 * [backup-simplify]: Simplify 0 into 0
53.651 * [backup-simplify]: Simplify 1 into 1
53.651 * [taylor]: Taking taylor expansion of 2.0 in beta
53.651 * [backup-simplify]: Simplify 2.0 into 2.0
53.651 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.652 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.652 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.652 * [backup-simplify]: Simplify (* 1 1) into 1
53.652 * [backup-simplify]: Simplify (* 1 1) into 1
53.653 * [backup-simplify]: Simplify (* i 1) into i
53.653 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
53.653 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
53.653 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
53.653 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
53.654 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
53.654 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
53.654 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
53.654 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
53.654 * [taylor]: Taking taylor expansion of 16.0 in beta
53.654 * [backup-simplify]: Simplify 16.0 into 16.0
53.654 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
53.654 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
53.654 * [taylor]: Taking taylor expansion of i in beta
53.654 * [backup-simplify]: Simplify i into i
53.655 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.655 * [taylor]: Taking taylor expansion of beta in beta
53.655 * [backup-simplify]: Simplify 0 into 0
53.655 * [backup-simplify]: Simplify 1 into 1
53.655 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
53.655 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
53.655 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.655 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.655 * [taylor]: Taking taylor expansion of 2.0 in beta
53.655 * [backup-simplify]: Simplify 2.0 into 2.0
53.655 * [taylor]: Taking taylor expansion of i in beta
53.655 * [backup-simplify]: Simplify i into i
53.655 * [taylor]: Taking taylor expansion of beta in beta
53.655 * [backup-simplify]: Simplify 0 into 0
53.655 * [backup-simplify]: Simplify 1 into 1
53.655 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.655 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.655 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
53.655 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.655 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.655 * [taylor]: Taking taylor expansion of 2.0 in beta
53.655 * [backup-simplify]: Simplify 2.0 into 2.0
53.655 * [taylor]: Taking taylor expansion of i in beta
53.655 * [backup-simplify]: Simplify i into i
53.655 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.655 * [taylor]: Taking taylor expansion of beta in beta
53.655 * [backup-simplify]: Simplify 0 into 0
53.655 * [backup-simplify]: Simplify 1 into 1
53.656 * [taylor]: Taking taylor expansion of 2.0 in beta
53.656 * [backup-simplify]: Simplify 2.0 into 2.0
53.656 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.656 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.656 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.657 * [backup-simplify]: Simplify (* 1 1) into 1
53.657 * [backup-simplify]: Simplify (* i 1) into i
53.657 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
53.657 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
53.657 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
53.658 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
53.658 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
53.658 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
53.658 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
53.658 * [taylor]: Taking taylor expansion of 4.0 in beta
53.659 * [backup-simplify]: Simplify 4.0 into 4.0
53.659 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
53.659 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.659 * [taylor]: Taking taylor expansion of beta in beta
53.659 * [backup-simplify]: Simplify 0 into 0
53.659 * [backup-simplify]: Simplify 1 into 1
53.659 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
53.659 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
53.659 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.659 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.659 * [taylor]: Taking taylor expansion of 2.0 in beta
53.659 * [backup-simplify]: Simplify 2.0 into 2.0
53.659 * [taylor]: Taking taylor expansion of i in beta
53.659 * [backup-simplify]: Simplify i into i
53.659 * [taylor]: Taking taylor expansion of beta in beta
53.659 * [backup-simplify]: Simplify 0 into 0
53.659 * [backup-simplify]: Simplify 1 into 1
53.659 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.659 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.659 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
53.659 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.659 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.659 * [taylor]: Taking taylor expansion of 2.0 in beta
53.659 * [backup-simplify]: Simplify 2.0 into 2.0
53.659 * [taylor]: Taking taylor expansion of i in beta
53.659 * [backup-simplify]: Simplify i into i
53.659 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.659 * [taylor]: Taking taylor expansion of beta in beta
53.660 * [backup-simplify]: Simplify 0 into 0
53.660 * [backup-simplify]: Simplify 1 into 1
53.660 * [taylor]: Taking taylor expansion of 2.0 in beta
53.660 * [backup-simplify]: Simplify 2.0 into 2.0
53.660 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.660 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.660 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.661 * [backup-simplify]: Simplify (* 1 1) into 1
53.661 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
53.661 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
53.661 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
53.662 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
53.662 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
53.662 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
53.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
53.662 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
53.663 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
53.663 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.663 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.663 * [taylor]: Taking taylor expansion of 2.0 in beta
53.663 * [backup-simplify]: Simplify 2.0 into 2.0
53.663 * [taylor]: Taking taylor expansion of i in beta
53.663 * [backup-simplify]: Simplify i into i
53.663 * [taylor]: Taking taylor expansion of beta in beta
53.663 * [backup-simplify]: Simplify 0 into 0
53.663 * [backup-simplify]: Simplify 1 into 1
53.663 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.663 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.663 * [taylor]: Taking taylor expansion of 2.0 in beta
53.663 * [backup-simplify]: Simplify 2.0 into 2.0
53.663 * [taylor]: Taking taylor expansion of i in beta
53.663 * [backup-simplify]: Simplify i into i
53.663 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.663 * [taylor]: Taking taylor expansion of beta in beta
53.663 * [backup-simplify]: Simplify 0 into 0
53.663 * [backup-simplify]: Simplify 1 into 1
53.663 * [taylor]: Taking taylor expansion of 2.0 in beta
53.663 * [backup-simplify]: Simplify 2.0 into 2.0
53.663 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.663 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.663 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.664 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.664 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.664 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
53.665 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
53.665 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
53.665 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.665 * [taylor]: Taking taylor expansion of beta in beta
53.665 * [backup-simplify]: Simplify 0 into 0
53.665 * [backup-simplify]: Simplify 1 into 1
53.665 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
53.665 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
53.665 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
53.665 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.665 * [taylor]: Taking taylor expansion of 2.0 in beta
53.665 * [backup-simplify]: Simplify 2.0 into 2.0
53.665 * [taylor]: Taking taylor expansion of i in beta
53.665 * [backup-simplify]: Simplify i into i
53.665 * [taylor]: Taking taylor expansion of beta in beta
53.665 * [backup-simplify]: Simplify 0 into 0
53.665 * [backup-simplify]: Simplify 1 into 1
53.665 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.665 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
53.665 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
53.665 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
53.665 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
53.665 * [taylor]: Taking taylor expansion of 2.0 in beta
53.665 * [backup-simplify]: Simplify 2.0 into 2.0
53.665 * [taylor]: Taking taylor expansion of i in beta
53.665 * [backup-simplify]: Simplify i into i
53.665 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
53.665 * [taylor]: Taking taylor expansion of beta in beta
53.665 * [backup-simplify]: Simplify 0 into 0
53.666 * [backup-simplify]: Simplify 1 into 1
53.666 * [taylor]: Taking taylor expansion of 2.0 in beta
53.666 * [backup-simplify]: Simplify 2.0 into 2.0
53.666 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
53.666 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.666 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
53.667 * [backup-simplify]: Simplify (* 1 1) into 1
53.667 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
53.667 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
53.667 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
53.668 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
53.668 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
53.668 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
53.669 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
53.669 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
53.669 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
53.669 * [taylor]: Taking taylor expansion of 0.5 in i
53.669 * [backup-simplify]: Simplify 0.5 into 0.5
53.669 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
53.669 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
53.669 * [taylor]: Taking taylor expansion of i in i
53.669 * [backup-simplify]: Simplify 0 into 0
53.669 * [backup-simplify]: Simplify 1 into 1
53.669 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
53.669 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
53.669 * [taylor]: Taking taylor expansion of 2.0 in i
53.669 * [backup-simplify]: Simplify 2.0 into 2.0
53.669 * [taylor]: Taking taylor expansion of i in i
53.669 * [backup-simplify]: Simplify 0 into 0
53.669 * [backup-simplify]: Simplify 1 into 1
53.669 * [taylor]: Taking taylor expansion of 2.0 in i
53.669 * [backup-simplify]: Simplify 2.0 into 2.0
53.670 * [backup-simplify]: Simplify (* 2.0 0) into 0
53.670 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.671 * [backup-simplify]: Simplify (* 0 2.0) into 0
53.672 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
53.673 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.674 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
53.675 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
53.676 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
53.676 * [backup-simplify]: Simplify (+ 0 0) into 0
53.680 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
53.682 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
53.684 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
53.685 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
53.685 * [backup-simplify]: Simplify 0.25 into 0.25
53.685 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
53.685 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
53.685 * [taylor]: Taking taylor expansion of 0.5 in i
53.685 * [backup-simplify]: Simplify 0.5 into 0.5
53.685 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
53.685 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
53.685 * [taylor]: Taking taylor expansion of i in i
53.685 * [backup-simplify]: Simplify 0 into 0
53.685 * [backup-simplify]: Simplify 1 into 1
53.685 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
53.685 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
53.685 * [taylor]: Taking taylor expansion of 2.0 in i
53.685 * [backup-simplify]: Simplify 2.0 into 2.0
53.686 * [taylor]: Taking taylor expansion of i in i
53.686 * [backup-simplify]: Simplify 0 into 0
53.686 * [backup-simplify]: Simplify 1 into 1
53.686 * [taylor]: Taking taylor expansion of 2.0 in i
53.686 * [backup-simplify]: Simplify 2.0 into 2.0
53.686 * [backup-simplify]: Simplify (* 2.0 0) into 0
53.687 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.687 * [backup-simplify]: Simplify (* 0 2.0) into 0
53.688 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
53.689 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.690 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
53.691 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
53.692 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
53.693 * [backup-simplify]: Simplify (+ 0 0) into 0
53.696 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
53.698 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
53.700 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
53.701 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
53.702 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
53.704 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 alpha) (/ 1 beta)) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
53.704 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
53.704 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
53.704 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
53.704 * [taylor]: Taking taylor expansion of 1.0 in i
53.704 * [backup-simplify]: Simplify 1.0 into 1.0
53.704 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
53.704 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
53.704 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
53.704 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.704 * [taylor]: Taking taylor expansion of alpha in i
53.704 * [backup-simplify]: Simplify alpha into alpha
53.704 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.704 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
53.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.704 * [taylor]: Taking taylor expansion of 2.0 in i
53.704 * [backup-simplify]: Simplify 2.0 into 2.0
53.704 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.704 * [taylor]: Taking taylor expansion of i in i
53.704 * [backup-simplify]: Simplify 0 into 0
53.704 * [backup-simplify]: Simplify 1 into 1
53.705 * [backup-simplify]: Simplify (/ 1 1) into 1
53.705 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
53.705 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.705 * [taylor]: Taking taylor expansion of beta in i
53.705 * [backup-simplify]: Simplify beta into beta
53.705 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.705 * [taylor]: Taking taylor expansion of 2.0 in i
53.705 * [backup-simplify]: Simplify 2.0 into 2.0
53.705 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
53.705 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
53.705 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.706 * [taylor]: Taking taylor expansion of alpha in i
53.706 * [backup-simplify]: Simplify alpha into alpha
53.706 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.706 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
53.706 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.706 * [taylor]: Taking taylor expansion of 2.0 in i
53.706 * [backup-simplify]: Simplify 2.0 into 2.0
53.706 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.706 * [taylor]: Taking taylor expansion of i in i
53.706 * [backup-simplify]: Simplify 0 into 0
53.706 * [backup-simplify]: Simplify 1 into 1
53.706 * [backup-simplify]: Simplify (/ 1 1) into 1
53.706 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.706 * [taylor]: Taking taylor expansion of beta in i
53.706 * [backup-simplify]: Simplify beta into beta
53.707 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.707 * [taylor]: Taking taylor expansion of (pow beta 2) in i
53.707 * [taylor]: Taking taylor expansion of beta in i
53.707 * [backup-simplify]: Simplify beta into beta
53.707 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.708 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.708 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.709 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.709 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.710 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.710 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.710 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
53.710 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
53.710 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
53.711 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
53.711 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
53.711 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
53.711 * [taylor]: Taking taylor expansion of alpha in i
53.711 * [backup-simplify]: Simplify alpha into alpha
53.711 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
53.711 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
53.711 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.711 * [taylor]: Taking taylor expansion of alpha in i
53.711 * [backup-simplify]: Simplify alpha into alpha
53.711 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.711 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
53.711 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.711 * [taylor]: Taking taylor expansion of 2.0 in i
53.711 * [backup-simplify]: Simplify 2.0 into 2.0
53.711 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.711 * [taylor]: Taking taylor expansion of i in i
53.711 * [backup-simplify]: Simplify 0 into 0
53.711 * [backup-simplify]: Simplify 1 into 1
53.712 * [backup-simplify]: Simplify (/ 1 1) into 1
53.712 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.712 * [taylor]: Taking taylor expansion of beta in i
53.712 * [backup-simplify]: Simplify beta into beta
53.712 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.712 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
53.712 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.712 * [taylor]: Taking taylor expansion of alpha in i
53.712 * [backup-simplify]: Simplify alpha into alpha
53.712 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.712 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
53.712 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.712 * [taylor]: Taking taylor expansion of 2.0 in i
53.712 * [backup-simplify]: Simplify 2.0 into 2.0
53.712 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.712 * [taylor]: Taking taylor expansion of i in i
53.712 * [backup-simplify]: Simplify 0 into 0
53.712 * [backup-simplify]: Simplify 1 into 1
53.713 * [backup-simplify]: Simplify (/ 1 1) into 1
53.713 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
53.713 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.713 * [taylor]: Taking taylor expansion of beta in i
53.713 * [backup-simplify]: Simplify beta into beta
53.713 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.713 * [taylor]: Taking taylor expansion of 2.0 in i
53.713 * [backup-simplify]: Simplify 2.0 into 2.0
53.713 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
53.714 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.714 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.715 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.715 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.716 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.716 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.717 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
53.717 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
53.717 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
53.717 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
53.717 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
53.717 * [taylor]: Taking taylor expansion of 1.0 in beta
53.717 * [backup-simplify]: Simplify 1.0 into 1.0
53.717 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
53.717 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
53.717 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
53.717 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.717 * [taylor]: Taking taylor expansion of alpha in beta
53.717 * [backup-simplify]: Simplify alpha into alpha
53.717 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.717 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
53.717 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.717 * [taylor]: Taking taylor expansion of 2.0 in beta
53.718 * [backup-simplify]: Simplify 2.0 into 2.0
53.718 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.718 * [taylor]: Taking taylor expansion of i in beta
53.718 * [backup-simplify]: Simplify i into i
53.718 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.718 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
53.718 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.718 * [taylor]: Taking taylor expansion of beta in beta
53.718 * [backup-simplify]: Simplify 0 into 0
53.718 * [backup-simplify]: Simplify 1 into 1
53.718 * [backup-simplify]: Simplify (/ 1 1) into 1
53.718 * [taylor]: Taking taylor expansion of 2.0 in beta
53.718 * [backup-simplify]: Simplify 2.0 into 2.0
53.718 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
53.719 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
53.719 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.719 * [taylor]: Taking taylor expansion of alpha in beta
53.719 * [backup-simplify]: Simplify alpha into alpha
53.719 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.719 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
53.719 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.719 * [taylor]: Taking taylor expansion of 2.0 in beta
53.719 * [backup-simplify]: Simplify 2.0 into 2.0
53.719 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.719 * [taylor]: Taking taylor expansion of i in beta
53.719 * [backup-simplify]: Simplify i into i
53.719 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.719 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.719 * [taylor]: Taking taylor expansion of beta in beta
53.719 * [backup-simplify]: Simplify 0 into 0
53.719 * [backup-simplify]: Simplify 1 into 1
53.720 * [backup-simplify]: Simplify (/ 1 1) into 1
53.720 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.720 * [taylor]: Taking taylor expansion of beta in beta
53.720 * [backup-simplify]: Simplify 0 into 0
53.720 * [backup-simplify]: Simplify 1 into 1
53.720 * [backup-simplify]: Simplify (+ 1 0) into 1
53.721 * [backup-simplify]: Simplify (+ 0 1) into 1
53.721 * [backup-simplify]: Simplify (+ 0 1) into 1
53.722 * [backup-simplify]: Simplify (+ 0 1) into 1
53.722 * [backup-simplify]: Simplify (+ 0 1) into 1
53.722 * [backup-simplify]: Simplify (* 1 1) into 1
53.723 * [backup-simplify]: Simplify (* 1 1) into 1
53.723 * [backup-simplify]: Simplify (* 1 1) into 1
53.724 * [backup-simplify]: Simplify (/ 1 1) into 1
53.724 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
53.724 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
53.724 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
53.724 * [taylor]: Taking taylor expansion of alpha in beta
53.724 * [backup-simplify]: Simplify alpha into alpha
53.724 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
53.724 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
53.724 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.724 * [taylor]: Taking taylor expansion of alpha in beta
53.724 * [backup-simplify]: Simplify alpha into alpha
53.724 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.724 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
53.724 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.724 * [taylor]: Taking taylor expansion of 2.0 in beta
53.724 * [backup-simplify]: Simplify 2.0 into 2.0
53.724 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.724 * [taylor]: Taking taylor expansion of i in beta
53.724 * [backup-simplify]: Simplify i into i
53.724 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.724 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.724 * [taylor]: Taking taylor expansion of beta in beta
53.724 * [backup-simplify]: Simplify 0 into 0
53.724 * [backup-simplify]: Simplify 1 into 1
53.725 * [backup-simplify]: Simplify (/ 1 1) into 1
53.725 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
53.725 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.725 * [taylor]: Taking taylor expansion of alpha in beta
53.725 * [backup-simplify]: Simplify alpha into alpha
53.725 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.725 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
53.725 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.725 * [taylor]: Taking taylor expansion of 2.0 in beta
53.725 * [backup-simplify]: Simplify 2.0 into 2.0
53.725 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.725 * [taylor]: Taking taylor expansion of i in beta
53.725 * [backup-simplify]: Simplify i into i
53.725 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.725 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
53.725 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.725 * [taylor]: Taking taylor expansion of beta in beta
53.725 * [backup-simplify]: Simplify 0 into 0
53.725 * [backup-simplify]: Simplify 1 into 1
53.726 * [backup-simplify]: Simplify (/ 1 1) into 1
53.726 * [taylor]: Taking taylor expansion of 2.0 in beta
53.726 * [backup-simplify]: Simplify 2.0 into 2.0
53.726 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
53.726 * [backup-simplify]: Simplify (+ 0 1) into 1
53.727 * [backup-simplify]: Simplify (+ 0 1) into 1
53.727 * [backup-simplify]: Simplify (+ 1 0) into 1
53.728 * [backup-simplify]: Simplify (+ 0 1) into 1
53.728 * [backup-simplify]: Simplify (+ 0 1) into 1
53.729 * [backup-simplify]: Simplify (* 1 1) into 1
53.729 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
53.729 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
53.729 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
53.729 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
53.729 * [taylor]: Taking taylor expansion of 1.0 in alpha
53.729 * [backup-simplify]: Simplify 1.0 into 1.0
53.729 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
53.729 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
53.729 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
53.729 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.729 * [taylor]: Taking taylor expansion of alpha in alpha
53.729 * [backup-simplify]: Simplify 0 into 0
53.729 * [backup-simplify]: Simplify 1 into 1
53.730 * [backup-simplify]: Simplify (/ 1 1) into 1
53.730 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
53.730 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.730 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.730 * [backup-simplify]: Simplify 2.0 into 2.0
53.730 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.730 * [taylor]: Taking taylor expansion of i in alpha
53.730 * [backup-simplify]: Simplify i into i
53.730 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.730 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
53.730 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.730 * [taylor]: Taking taylor expansion of beta in alpha
53.730 * [backup-simplify]: Simplify beta into beta
53.730 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.730 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.730 * [backup-simplify]: Simplify 2.0 into 2.0
53.730 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
53.731 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.731 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.731 * [taylor]: Taking taylor expansion of alpha in alpha
53.731 * [backup-simplify]: Simplify 0 into 0
53.731 * [backup-simplify]: Simplify 1 into 1
53.731 * [backup-simplify]: Simplify (/ 1 1) into 1
53.731 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.731 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.731 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.731 * [backup-simplify]: Simplify 2.0 into 2.0
53.731 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.731 * [taylor]: Taking taylor expansion of i in alpha
53.731 * [backup-simplify]: Simplify i into i
53.731 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.731 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.731 * [taylor]: Taking taylor expansion of beta in alpha
53.731 * [backup-simplify]: Simplify beta into beta
53.732 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.732 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
53.732 * [taylor]: Taking taylor expansion of beta in alpha
53.732 * [backup-simplify]: Simplify beta into beta
53.732 * [backup-simplify]: Simplify (+ 1 0) into 1
53.733 * [backup-simplify]: Simplify (+ 1 0) into 1
53.733 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.733 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
53.733 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
53.733 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
53.733 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
53.733 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
53.733 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
53.733 * [taylor]: Taking taylor expansion of alpha in alpha
53.733 * [backup-simplify]: Simplify 0 into 0
53.734 * [backup-simplify]: Simplify 1 into 1
53.734 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
53.734 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.734 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.734 * [taylor]: Taking taylor expansion of alpha in alpha
53.734 * [backup-simplify]: Simplify 0 into 0
53.734 * [backup-simplify]: Simplify 1 into 1
53.734 * [backup-simplify]: Simplify (/ 1 1) into 1
53.734 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.734 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.734 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.734 * [backup-simplify]: Simplify 2.0 into 2.0
53.734 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.734 * [taylor]: Taking taylor expansion of i in alpha
53.734 * [backup-simplify]: Simplify i into i
53.734 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.734 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.734 * [taylor]: Taking taylor expansion of beta in alpha
53.735 * [backup-simplify]: Simplify beta into beta
53.735 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.735 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
53.735 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.735 * [taylor]: Taking taylor expansion of alpha in alpha
53.735 * [backup-simplify]: Simplify 0 into 0
53.735 * [backup-simplify]: Simplify 1 into 1
53.735 * [backup-simplify]: Simplify (/ 1 1) into 1
53.735 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
53.735 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.735 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.735 * [backup-simplify]: Simplify 2.0 into 2.0
53.735 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.735 * [taylor]: Taking taylor expansion of i in alpha
53.735 * [backup-simplify]: Simplify i into i
53.735 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.735 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
53.735 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.735 * [taylor]: Taking taylor expansion of beta in alpha
53.736 * [backup-simplify]: Simplify beta into beta
53.736 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.736 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.736 * [backup-simplify]: Simplify 2.0 into 2.0
53.736 * [backup-simplify]: Simplify (* 1 1) into 1
53.737 * [backup-simplify]: Simplify (+ 1 0) into 1
53.737 * [backup-simplify]: Simplify (+ 1 0) into 1
53.737 * [backup-simplify]: Simplify (* 1 1) into 1
53.738 * [backup-simplify]: Simplify (* 1 1) into 1
53.738 * [backup-simplify]: Simplify (/ 1 1) into 1
53.738 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
53.738 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
53.738 * [taylor]: Taking taylor expansion of 1.0 in alpha
53.738 * [backup-simplify]: Simplify 1.0 into 1.0
53.738 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
53.738 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
53.738 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
53.739 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.739 * [taylor]: Taking taylor expansion of alpha in alpha
53.739 * [backup-simplify]: Simplify 0 into 0
53.739 * [backup-simplify]: Simplify 1 into 1
53.739 * [backup-simplify]: Simplify (/ 1 1) into 1
53.739 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
53.739 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.739 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.739 * [backup-simplify]: Simplify 2.0 into 2.0
53.739 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.739 * [taylor]: Taking taylor expansion of i in alpha
53.739 * [backup-simplify]: Simplify i into i
53.739 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.739 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
53.739 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.739 * [taylor]: Taking taylor expansion of beta in alpha
53.739 * [backup-simplify]: Simplify beta into beta
53.740 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.740 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.740 * [backup-simplify]: Simplify 2.0 into 2.0
53.740 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
53.740 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.740 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.740 * [taylor]: Taking taylor expansion of alpha in alpha
53.740 * [backup-simplify]: Simplify 0 into 0
53.740 * [backup-simplify]: Simplify 1 into 1
53.740 * [backup-simplify]: Simplify (/ 1 1) into 1
53.740 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.740 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.740 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.740 * [backup-simplify]: Simplify 2.0 into 2.0
53.740 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.740 * [taylor]: Taking taylor expansion of i in alpha
53.740 * [backup-simplify]: Simplify i into i
53.741 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.741 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.741 * [taylor]: Taking taylor expansion of beta in alpha
53.741 * [backup-simplify]: Simplify beta into beta
53.741 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.741 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
53.741 * [taylor]: Taking taylor expansion of beta in alpha
53.741 * [backup-simplify]: Simplify beta into beta
53.741 * [backup-simplify]: Simplify (+ 1 0) into 1
53.742 * [backup-simplify]: Simplify (+ 1 0) into 1
53.742 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.742 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
53.742 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
53.742 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
53.742 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
53.742 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
53.743 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
53.743 * [taylor]: Taking taylor expansion of alpha in alpha
53.743 * [backup-simplify]: Simplify 0 into 0
53.743 * [backup-simplify]: Simplify 1 into 1
53.743 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
53.743 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.743 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.743 * [taylor]: Taking taylor expansion of alpha in alpha
53.743 * [backup-simplify]: Simplify 0 into 0
53.743 * [backup-simplify]: Simplify 1 into 1
53.743 * [backup-simplify]: Simplify (/ 1 1) into 1
53.743 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.743 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.743 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.743 * [backup-simplify]: Simplify 2.0 into 2.0
53.743 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.743 * [taylor]: Taking taylor expansion of i in alpha
53.743 * [backup-simplify]: Simplify i into i
53.744 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.744 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.744 * [taylor]: Taking taylor expansion of beta in alpha
53.744 * [backup-simplify]: Simplify beta into beta
53.744 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.744 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
53.744 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.744 * [taylor]: Taking taylor expansion of alpha in alpha
53.744 * [backup-simplify]: Simplify 0 into 0
53.744 * [backup-simplify]: Simplify 1 into 1
53.744 * [backup-simplify]: Simplify (/ 1 1) into 1
53.744 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
53.744 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.744 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.744 * [backup-simplify]: Simplify 2.0 into 2.0
53.744 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.744 * [taylor]: Taking taylor expansion of i in alpha
53.744 * [backup-simplify]: Simplify i into i
53.745 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.745 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
53.745 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.745 * [taylor]: Taking taylor expansion of beta in alpha
53.745 * [backup-simplify]: Simplify beta into beta
53.745 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.745 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.745 * [backup-simplify]: Simplify 2.0 into 2.0
53.745 * [backup-simplify]: Simplify (* 1 1) into 1
53.746 * [backup-simplify]: Simplify (+ 1 0) into 1
53.746 * [backup-simplify]: Simplify (+ 1 0) into 1
53.747 * [backup-simplify]: Simplify (* 1 1) into 1
53.747 * [backup-simplify]: Simplify (* 1 1) into 1
53.748 * [backup-simplify]: Simplify (/ 1 1) into 1
53.748 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
53.749 * [backup-simplify]: Simplify (- 1) into -1
53.749 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
53.749 * [taylor]: Taking taylor expansion of 0 in beta
53.749 * [backup-simplify]: Simplify 0 into 0
53.749 * [taylor]: Taking taylor expansion of 0 in i
53.749 * [backup-simplify]: Simplify 0 into 0
53.749 * [backup-simplify]: Simplify 0 into 0
53.750 * [backup-simplify]: Simplify (+ 0 0) into 0
53.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.751 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
53.751 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
53.751 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
53.751 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
53.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.752 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
53.752 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.752 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.753 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
53.754 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.754 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
53.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
53.755 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
53.756 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
53.756 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
53.756 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
53.756 * [taylor]: Taking taylor expansion of 4.0 in beta
53.756 * [backup-simplify]: Simplify 4.0 into 4.0
53.756 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.756 * [taylor]: Taking taylor expansion of i in beta
53.756 * [backup-simplify]: Simplify i into i
53.756 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.756 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
53.756 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
53.756 * [taylor]: Taking taylor expansion of 2 in beta
53.756 * [backup-simplify]: Simplify 2 into 2
53.756 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.756 * [taylor]: Taking taylor expansion of beta in beta
53.756 * [backup-simplify]: Simplify 0 into 0
53.756 * [backup-simplify]: Simplify 1 into 1
53.757 * [backup-simplify]: Simplify (/ 1 1) into 1
53.757 * [taylor]: Taking taylor expansion of 2.0 in beta
53.757 * [backup-simplify]: Simplify 2.0 into 2.0
53.757 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
53.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.759 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
53.759 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.759 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
53.759 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
53.759 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
53.759 * [taylor]: Taking taylor expansion of 4.0 in i
53.759 * [backup-simplify]: Simplify 4.0 into 4.0
53.759 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.759 * [taylor]: Taking taylor expansion of i in i
53.759 * [backup-simplify]: Simplify 0 into 0
53.759 * [backup-simplify]: Simplify 1 into 1
53.760 * [backup-simplify]: Simplify (/ 1 1) into 1
53.760 * [taylor]: Taking taylor expansion of 2.0 in i
53.760 * [backup-simplify]: Simplify 2.0 into 2.0
53.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.761 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
53.762 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.762 * [backup-simplify]: Simplify 2.0 into 2.0
53.762 * [taylor]: Taking taylor expansion of 0 in i
53.762 * [backup-simplify]: Simplify 0 into 0
53.762 * [backup-simplify]: Simplify 0 into 0
53.762 * [backup-simplify]: Simplify 0 into 0
53.762 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
53.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.764 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
53.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
53.765 * [backup-simplify]: Simplify (+ 0 0) into 0
53.765 * [backup-simplify]: Simplify (+ 0 0) into 0
53.765 * [backup-simplify]: Simplify (+ 0 0) into 0
53.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.767 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
53.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
53.768 * [backup-simplify]: Simplify (+ 0 0) into 0
53.768 * [backup-simplify]: Simplify (+ 0 0) into 0
53.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
53.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.773 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
53.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
53.776 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
53.778 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
53.778 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
53.778 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
53.778 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
53.778 * [taylor]: Taking taylor expansion of 2 in beta
53.778 * [backup-simplify]: Simplify 2 into 2
53.778 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
53.778 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.778 * [taylor]: Taking taylor expansion of beta in beta
53.778 * [backup-simplify]: Simplify 0 into 0
53.778 * [backup-simplify]: Simplify 1 into 1
53.785 * [backup-simplify]: Simplify (* 1 1) into 1
53.786 * [backup-simplify]: Simplify (/ 1 1) into 1
53.786 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
53.787 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
53.787 * [taylor]: Taking taylor expansion of 12.0 in beta
53.787 * [backup-simplify]: Simplify 12.0 into 12.0
53.787 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
53.787 * [taylor]: Taking taylor expansion of (pow i 2) in beta
53.787 * [taylor]: Taking taylor expansion of i in beta
53.787 * [backup-simplify]: Simplify i into i
53.787 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.787 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
53.787 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
53.787 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
53.787 * [taylor]: Taking taylor expansion of 6.0 in beta
53.787 * [backup-simplify]: Simplify 6.0 into 6.0
53.787 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.787 * [taylor]: Taking taylor expansion of beta in beta
53.787 * [backup-simplify]: Simplify 0 into 0
53.787 * [backup-simplify]: Simplify 1 into 1
53.788 * [backup-simplify]: Simplify (/ 1 1) into 1
53.788 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
53.788 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
53.788 * [taylor]: Taking taylor expansion of 12.0 in beta
53.788 * [backup-simplify]: Simplify 12.0 into 12.0
53.788 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.788 * [taylor]: Taking taylor expansion of i in beta
53.788 * [backup-simplify]: Simplify i into i
53.788 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.788 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
53.788 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
53.788 * [taylor]: Taking taylor expansion of 12.0 in beta
53.788 * [backup-simplify]: Simplify 12.0 into 12.0
53.788 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
53.788 * [taylor]: Taking taylor expansion of (* i beta) in beta
53.788 * [taylor]: Taking taylor expansion of i in beta
53.788 * [backup-simplify]: Simplify i into i
53.789 * [taylor]: Taking taylor expansion of beta in beta
53.789 * [backup-simplify]: Simplify 0 into 0
53.789 * [backup-simplify]: Simplify 1 into 1
53.789 * [backup-simplify]: Simplify (* i 0) into 0
53.789 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
53.789 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.789 * [taylor]: Taking taylor expansion of 4.0 in beta
53.789 * [backup-simplify]: Simplify 4.0 into 4.0
53.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.794 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
53.794 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
53.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.796 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
53.796 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
53.797 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
53.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.798 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
53.798 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
53.798 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
53.798 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
53.799 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
53.799 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
53.800 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
53.800 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
53.800 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
53.800 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
53.800 * [taylor]: Taking taylor expansion of 12.0 in i
53.800 * [backup-simplify]: Simplify 12.0 into 12.0
53.800 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
53.800 * [taylor]: Taking taylor expansion of (pow i 2) in i
53.800 * [taylor]: Taking taylor expansion of i in i
53.800 * [backup-simplify]: Simplify 0 into 0
53.800 * [backup-simplify]: Simplify 1 into 1
53.800 * [backup-simplify]: Simplify (* 1 1) into 1
53.801 * [backup-simplify]: Simplify (/ 1 1) into 1
53.801 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
53.801 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
53.801 * [taylor]: Taking taylor expansion of 12.0 in i
53.801 * [backup-simplify]: Simplify 12.0 into 12.0
53.801 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.801 * [taylor]: Taking taylor expansion of i in i
53.801 * [backup-simplify]: Simplify 0 into 0
53.801 * [backup-simplify]: Simplify 1 into 1
53.801 * [backup-simplify]: Simplify (/ 1 1) into 1
53.802 * [taylor]: Taking taylor expansion of 4.0 in i
53.802 * [backup-simplify]: Simplify 4.0 into 4.0
53.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.803 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.806 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
53.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.808 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
53.808 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
53.808 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
53.809 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
53.809 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
53.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.810 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
53.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.812 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
53.812 * [backup-simplify]: Simplify (+ 0 0) into 0
53.813 * [backup-simplify]: Simplify (+ 0 0) into 0
53.813 * [taylor]: Taking taylor expansion of 0 in i
53.813 * [backup-simplify]: Simplify 0 into 0
53.813 * [backup-simplify]: Simplify 0 into 0
53.813 * [taylor]: Taking taylor expansion of 0 in i
53.813 * [backup-simplify]: Simplify 0 into 0
53.813 * [backup-simplify]: Simplify 0 into 0
53.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.815 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
53.815 * [backup-simplify]: Simplify (+ 0 0) into 0
53.816 * [backup-simplify]: Simplify 0 into 0
53.816 * [backup-simplify]: Simplify 0 into 0
53.816 * [backup-simplify]: Simplify 0 into 0
53.816 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
53.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.817 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
53.817 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.817 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
53.818 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
53.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.819 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
53.819 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
53.819 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
53.820 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
53.820 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
53.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
53.823 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
53.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
53.825 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
53.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
53.826 * [backup-simplify]: Simplify (+ 0 0) into 0
53.826 * [backup-simplify]: Simplify (+ 0 0) into 0
53.826 * [backup-simplify]: Simplify (+ 0 0) into 0
53.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
53.828 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
53.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
53.829 * [backup-simplify]: Simplify (+ 0 0) into 0
53.829 * [backup-simplify]: Simplify (+ 0 0) into 0
53.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
53.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
53.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
53.844 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
53.848 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
53.848 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
53.848 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
53.848 * [taylor]: Taking taylor expansion of 20.0 in beta
53.848 * [backup-simplify]: Simplify 20.0 into 20.0
53.849 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
53.849 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
53.849 * [taylor]: Taking taylor expansion of i in beta
53.849 * [backup-simplify]: Simplify i into i
53.849 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.849 * [taylor]: Taking taylor expansion of beta in beta
53.849 * [backup-simplify]: Simplify 0 into 0
53.849 * [backup-simplify]: Simplify 1 into 1
53.849 * [backup-simplify]: Simplify (* 1 1) into 1
53.849 * [backup-simplify]: Simplify (* i 1) into i
53.849 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.849 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
53.850 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
53.850 * [taylor]: Taking taylor expansion of 48.0 in beta
53.850 * [backup-simplify]: Simplify 48.0 into 48.0
53.850 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
53.850 * [taylor]: Taking taylor expansion of (pow i 2) in beta
53.850 * [taylor]: Taking taylor expansion of i in beta
53.850 * [backup-simplify]: Simplify i into i
53.850 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.850 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
53.850 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
53.850 * [taylor]: Taking taylor expansion of 8.0 in beta
53.850 * [backup-simplify]: Simplify 8.0 into 8.0
53.850 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
53.850 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
53.850 * [taylor]: Taking taylor expansion of 10.0 in beta
53.850 * [backup-simplify]: Simplify 10.0 into 10.0
53.850 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
53.850 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.850 * [taylor]: Taking taylor expansion of beta in beta
53.850 * [backup-simplify]: Simplify 0 into 0
53.850 * [backup-simplify]: Simplify 1 into 1
53.851 * [backup-simplify]: Simplify (* 1 1) into 1
53.851 * [backup-simplify]: Simplify (/ 1 1) into 1
53.851 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
53.851 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
53.851 * [taylor]: Taking taylor expansion of 48.0 in beta
53.851 * [backup-simplify]: Simplify 48.0 into 48.0
53.852 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
53.852 * [taylor]: Taking taylor expansion of (* i beta) in beta
53.852 * [taylor]: Taking taylor expansion of i in beta
53.852 * [backup-simplify]: Simplify i into i
53.852 * [taylor]: Taking taylor expansion of beta in beta
53.852 * [backup-simplify]: Simplify 0 into 0
53.852 * [backup-simplify]: Simplify 1 into 1
53.852 * [backup-simplify]: Simplify (* i 0) into 0
53.852 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
53.852 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.852 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
53.852 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
53.852 * [taylor]: Taking taylor expansion of 2 in beta
53.852 * [backup-simplify]: Simplify 2 into 2
53.852 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
53.853 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
53.853 * [taylor]: Taking taylor expansion of beta in beta
53.853 * [backup-simplify]: Simplify 0 into 0
53.853 * [backup-simplify]: Simplify 1 into 1
53.853 * [backup-simplify]: Simplify (* 1 1) into 1
53.853 * [backup-simplify]: Simplify (* 1 1) into 1
53.854 * [backup-simplify]: Simplify (/ 1 1) into 1
53.854 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
53.854 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
53.854 * [taylor]: Taking taylor expansion of 48.0 in beta
53.854 * [backup-simplify]: Simplify 48.0 into 48.0
53.854 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
53.854 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
53.854 * [taylor]: Taking taylor expansion of (pow i 2) in beta
53.854 * [taylor]: Taking taylor expansion of i in beta
53.854 * [backup-simplify]: Simplify i into i
53.854 * [taylor]: Taking taylor expansion of beta in beta
53.854 * [backup-simplify]: Simplify 0 into 0
53.854 * [backup-simplify]: Simplify 1 into 1
53.854 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.854 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
53.855 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
53.855 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
53.855 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
53.855 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
53.855 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
53.855 * [taylor]: Taking taylor expansion of 32.0 in beta
53.856 * [backup-simplify]: Simplify 32.0 into 32.0
53.856 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.856 * [taylor]: Taking taylor expansion of i in beta
53.856 * [backup-simplify]: Simplify i into i
53.856 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.856 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
53.856 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
53.856 * [taylor]: Taking taylor expansion of 16.0 in beta
53.856 * [backup-simplify]: Simplify 16.0 into 16.0
53.856 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.856 * [taylor]: Taking taylor expansion of beta in beta
53.856 * [backup-simplify]: Simplify 0 into 0
53.856 * [backup-simplify]: Simplify 1 into 1
53.856 * [backup-simplify]: Simplify (/ 1 1) into 1
53.856 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
53.856 * [taylor]: Taking taylor expansion of 32.0 in beta
53.857 * [backup-simplify]: Simplify 32.0 into 32.0
53.857 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
53.857 * [taylor]: Taking taylor expansion of (pow i 3) in beta
53.857 * [taylor]: Taking taylor expansion of i in beta
53.857 * [backup-simplify]: Simplify i into i
53.857 * [backup-simplify]: Simplify (* i i) into (pow i 2)
53.857 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
53.857 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
53.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.860 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
53.860 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
53.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
53.862 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
53.862 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
53.863 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.867 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
53.867 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
53.868 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
53.868 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
53.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.878 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.879 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
53.880 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
53.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
53.881 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
53.881 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
53.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.882 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
53.882 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
53.882 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
53.883 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
53.883 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.883 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.884 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.884 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
53.884 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
53.885 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
53.885 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
53.885 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
53.885 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
53.885 * [taylor]: Taking taylor expansion of 48.0 in i
53.885 * [backup-simplify]: Simplify 48.0 into 48.0
53.885 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
53.886 * [taylor]: Taking taylor expansion of (pow i 2) in i
53.886 * [taylor]: Taking taylor expansion of i in i
53.886 * [backup-simplify]: Simplify 0 into 0
53.886 * [backup-simplify]: Simplify 1 into 1
53.886 * [backup-simplify]: Simplify (* 1 1) into 1
53.887 * [backup-simplify]: Simplify (/ 1 1) into 1
53.887 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
53.887 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
53.887 * [taylor]: Taking taylor expansion of 32.0 in i
53.887 * [backup-simplify]: Simplify 32.0 into 32.0
53.887 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
53.887 * [taylor]: Taking taylor expansion of (pow i 3) in i
53.887 * [taylor]: Taking taylor expansion of i in i
53.887 * [backup-simplify]: Simplify 0 into 0
53.887 * [backup-simplify]: Simplify 1 into 1
53.887 * [backup-simplify]: Simplify (* 1 1) into 1
53.888 * [backup-simplify]: Simplify (* 1 1) into 1
53.888 * [backup-simplify]: Simplify (/ 1 1) into 1
53.888 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
53.888 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
53.888 * [taylor]: Taking taylor expansion of 32.0 in i
53.888 * [backup-simplify]: Simplify 32.0 into 32.0
53.888 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.888 * [taylor]: Taking taylor expansion of i in i
53.888 * [backup-simplify]: Simplify 0 into 0
53.888 * [backup-simplify]: Simplify 1 into 1
53.889 * [backup-simplify]: Simplify (/ 1 1) into 1
53.889 * [taylor]: Taking taylor expansion of 8.0 in i
53.889 * [backup-simplify]: Simplify 8.0 into 8.0
53.889 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.892 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.894 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
53.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
53.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
53.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
53.911 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
53.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
53.913 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
53.914 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
53.914 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
53.915 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
53.915 * [backup-simplify]: Simplify 8.0 into 8.0
53.916 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
53.918 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
53.918 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
53.919 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
53.919 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
53.919 * [taylor]: Taking taylor expansion of 1.0 in i
53.919 * [backup-simplify]: Simplify 1.0 into 1.0
53.919 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
53.919 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
53.919 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
53.919 * [taylor]: Taking taylor expansion of alpha in i
53.919 * [backup-simplify]: Simplify alpha into alpha
53.919 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
53.919 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
53.919 * [taylor]: Taking taylor expansion of 2.0 in i
53.919 * [backup-simplify]: Simplify 2.0 into 2.0
53.919 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
53.919 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.919 * [taylor]: Taking taylor expansion of alpha in i
53.919 * [backup-simplify]: Simplify alpha into alpha
53.919 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.919 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
53.919 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.919 * [taylor]: Taking taylor expansion of 2.0 in i
53.919 * [backup-simplify]: Simplify 2.0 into 2.0
53.919 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.920 * [taylor]: Taking taylor expansion of i in i
53.920 * [backup-simplify]: Simplify 0 into 0
53.920 * [backup-simplify]: Simplify 1 into 1
53.920 * [backup-simplify]: Simplify (/ 1 1) into 1
53.920 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.920 * [taylor]: Taking taylor expansion of beta in i
53.920 * [backup-simplify]: Simplify beta into beta
53.920 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.920 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
53.920 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.920 * [taylor]: Taking taylor expansion of alpha in i
53.921 * [backup-simplify]: Simplify alpha into alpha
53.921 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.921 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
53.921 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.921 * [taylor]: Taking taylor expansion of 2.0 in i
53.921 * [backup-simplify]: Simplify 2.0 into 2.0
53.921 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.921 * [taylor]: Taking taylor expansion of i in i
53.921 * [backup-simplify]: Simplify 0 into 0
53.921 * [backup-simplify]: Simplify 1 into 1
53.921 * [backup-simplify]: Simplify (/ 1 1) into 1
53.921 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.921 * [taylor]: Taking taylor expansion of beta in i
53.921 * [backup-simplify]: Simplify beta into beta
53.921 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.922 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
53.922 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.923 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.923 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.924 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
53.924 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
53.925 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.925 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.926 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.927 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
53.927 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
53.927 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
53.927 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
53.927 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
53.927 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
53.927 * [taylor]: Taking taylor expansion of 2.0 in i
53.928 * [backup-simplify]: Simplify 2.0 into 2.0
53.928 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
53.928 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.928 * [taylor]: Taking taylor expansion of alpha in i
53.928 * [backup-simplify]: Simplify alpha into alpha
53.928 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.928 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
53.928 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.928 * [taylor]: Taking taylor expansion of 2.0 in i
53.928 * [backup-simplify]: Simplify 2.0 into 2.0
53.928 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.928 * [taylor]: Taking taylor expansion of i in i
53.928 * [backup-simplify]: Simplify 0 into 0
53.928 * [backup-simplify]: Simplify 1 into 1
53.928 * [backup-simplify]: Simplify (/ 1 1) into 1
53.928 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.929 * [taylor]: Taking taylor expansion of beta in i
53.929 * [backup-simplify]: Simplify beta into beta
53.929 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.929 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
53.929 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
53.929 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
53.929 * [taylor]: Taking taylor expansion of alpha in i
53.929 * [backup-simplify]: Simplify alpha into alpha
53.929 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.929 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
53.929 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
53.929 * [taylor]: Taking taylor expansion of 2.0 in i
53.929 * [backup-simplify]: Simplify 2.0 into 2.0
53.929 * [taylor]: Taking taylor expansion of (/ 1 i) in i
53.929 * [taylor]: Taking taylor expansion of i in i
53.929 * [backup-simplify]: Simplify 0 into 0
53.929 * [backup-simplify]: Simplify 1 into 1
53.930 * [backup-simplify]: Simplify (/ 1 1) into 1
53.930 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
53.930 * [taylor]: Taking taylor expansion of beta in i
53.930 * [backup-simplify]: Simplify beta into beta
53.930 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.930 * [taylor]: Taking taylor expansion of (pow beta 2) in i
53.930 * [taylor]: Taking taylor expansion of beta in i
53.930 * [backup-simplify]: Simplify beta into beta
53.930 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.931 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.931 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.932 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
53.933 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
53.933 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
53.934 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
53.934 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
53.934 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.935 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
53.935 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
53.935 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
53.935 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
53.936 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
53.936 * [taylor]: Taking taylor expansion of 1.0 in beta
53.936 * [backup-simplify]: Simplify 1.0 into 1.0
53.936 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
53.936 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
53.936 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
53.936 * [taylor]: Taking taylor expansion of alpha in beta
53.936 * [backup-simplify]: Simplify alpha into alpha
53.936 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
53.936 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
53.936 * [taylor]: Taking taylor expansion of 2.0 in beta
53.936 * [backup-simplify]: Simplify 2.0 into 2.0
53.936 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
53.936 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.936 * [taylor]: Taking taylor expansion of alpha in beta
53.936 * [backup-simplify]: Simplify alpha into alpha
53.936 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.936 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
53.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.936 * [taylor]: Taking taylor expansion of 2.0 in beta
53.936 * [backup-simplify]: Simplify 2.0 into 2.0
53.936 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.936 * [taylor]: Taking taylor expansion of i in beta
53.936 * [backup-simplify]: Simplify i into i
53.936 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.936 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.937 * [taylor]: Taking taylor expansion of beta in beta
53.937 * [backup-simplify]: Simplify 0 into 0
53.937 * [backup-simplify]: Simplify 1 into 1
53.937 * [backup-simplify]: Simplify (/ 1 1) into 1
53.937 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
53.937 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.937 * [taylor]: Taking taylor expansion of alpha in beta
53.937 * [backup-simplify]: Simplify alpha into alpha
53.937 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.937 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
53.937 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.937 * [taylor]: Taking taylor expansion of 2.0 in beta
53.937 * [backup-simplify]: Simplify 2.0 into 2.0
53.937 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.937 * [taylor]: Taking taylor expansion of i in beta
53.937 * [backup-simplify]: Simplify i into i
53.938 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.938 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.938 * [taylor]: Taking taylor expansion of beta in beta
53.938 * [backup-simplify]: Simplify 0 into 0
53.938 * [backup-simplify]: Simplify 1 into 1
53.938 * [backup-simplify]: Simplify (/ 1 1) into 1
53.938 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
53.939 * [backup-simplify]: Simplify (+ 0 1) into 1
53.939 * [backup-simplify]: Simplify (+ 0 1) into 1
53.940 * [backup-simplify]: Simplify (- 1) into -1
53.940 * [backup-simplify]: Simplify (+ 0 -1) into -1
53.940 * [backup-simplify]: Simplify (+ 0 1) into 1
53.941 * [backup-simplify]: Simplify (+ 0 1) into 1
53.941 * [backup-simplify]: Simplify (* -1 1) into -1
53.941 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
53.941 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
53.941 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
53.942 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
53.942 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
53.942 * [taylor]: Taking taylor expansion of 2.0 in beta
53.942 * [backup-simplify]: Simplify 2.0 into 2.0
53.942 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
53.942 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.942 * [taylor]: Taking taylor expansion of alpha in beta
53.942 * [backup-simplify]: Simplify alpha into alpha
53.942 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.942 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
53.942 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.942 * [taylor]: Taking taylor expansion of 2.0 in beta
53.942 * [backup-simplify]: Simplify 2.0 into 2.0
53.942 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.942 * [taylor]: Taking taylor expansion of i in beta
53.942 * [backup-simplify]: Simplify i into i
53.942 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.942 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.942 * [taylor]: Taking taylor expansion of beta in beta
53.942 * [backup-simplify]: Simplify 0 into 0
53.942 * [backup-simplify]: Simplify 1 into 1
53.942 * [backup-simplify]: Simplify (/ 1 1) into 1
53.942 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
53.942 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
53.942 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
53.942 * [taylor]: Taking taylor expansion of alpha in beta
53.942 * [backup-simplify]: Simplify alpha into alpha
53.942 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
53.942 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
53.943 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
53.943 * [taylor]: Taking taylor expansion of 2.0 in beta
53.943 * [backup-simplify]: Simplify 2.0 into 2.0
53.943 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
53.943 * [taylor]: Taking taylor expansion of i in beta
53.943 * [backup-simplify]: Simplify i into i
53.943 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.943 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
53.943 * [taylor]: Taking taylor expansion of beta in beta
53.943 * [backup-simplify]: Simplify 0 into 0
53.943 * [backup-simplify]: Simplify 1 into 1
53.943 * [backup-simplify]: Simplify (/ 1 1) into 1
53.943 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
53.943 * [taylor]: Taking taylor expansion of beta in beta
53.943 * [backup-simplify]: Simplify 0 into 0
53.943 * [backup-simplify]: Simplify 1 into 1
53.943 * [backup-simplify]: Simplify (+ 0 1) into 1
53.944 * [backup-simplify]: Simplify (+ 0 1) into 1
53.944 * [backup-simplify]: Simplify (- 1) into -1
53.944 * [backup-simplify]: Simplify (+ 0 -1) into -1
53.944 * [backup-simplify]: Simplify (+ 0 1) into 1
53.945 * [backup-simplify]: Simplify (+ 0 1) into 1
53.945 * [backup-simplify]: Simplify (* 1 1) into 1
53.945 * [backup-simplify]: Simplify (* 1 1) into 1
53.945 * [backup-simplify]: Simplify (* -1 1) into -1
53.946 * [backup-simplify]: Simplify (/ 1 -1) into -1
53.946 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
53.946 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
53.946 * [taylor]: Taking taylor expansion of 1.0 in alpha
53.946 * [backup-simplify]: Simplify 1.0 into 1.0
53.946 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
53.946 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
53.946 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
53.946 * [taylor]: Taking taylor expansion of alpha in alpha
53.946 * [backup-simplify]: Simplify 0 into 0
53.946 * [backup-simplify]: Simplify 1 into 1
53.946 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.946 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.946 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.947 * [backup-simplify]: Simplify 2.0 into 2.0
53.947 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.947 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.947 * [taylor]: Taking taylor expansion of alpha in alpha
53.947 * [backup-simplify]: Simplify 0 into 0
53.947 * [backup-simplify]: Simplify 1 into 1
53.947 * [backup-simplify]: Simplify (/ 1 1) into 1
53.947 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.947 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.947 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.947 * [backup-simplify]: Simplify 2.0 into 2.0
53.947 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.947 * [taylor]: Taking taylor expansion of i in alpha
53.947 * [backup-simplify]: Simplify i into i
53.947 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.947 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.947 * [taylor]: Taking taylor expansion of beta in alpha
53.947 * [backup-simplify]: Simplify beta into beta
53.947 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.947 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.947 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.948 * [taylor]: Taking taylor expansion of alpha in alpha
53.948 * [backup-simplify]: Simplify 0 into 0
53.948 * [backup-simplify]: Simplify 1 into 1
53.948 * [backup-simplify]: Simplify (/ 1 1) into 1
53.948 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.948 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.948 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.948 * [backup-simplify]: Simplify 2.0 into 2.0
53.948 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.948 * [taylor]: Taking taylor expansion of i in alpha
53.948 * [backup-simplify]: Simplify i into i
53.948 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.948 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.948 * [taylor]: Taking taylor expansion of beta in alpha
53.948 * [backup-simplify]: Simplify beta into beta
53.948 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.949 * [backup-simplify]: Simplify (* 1 1) into 1
53.949 * [backup-simplify]: Simplify (+ 1 0) into 1
53.949 * [backup-simplify]: Simplify (- 1) into -1
53.950 * [backup-simplify]: Simplify (+ 0 -1) into -1
53.970 * [backup-simplify]: Simplify (+ 1 0) into 1
53.971 * [backup-simplify]: Simplify (* -1 1) into -1
53.972 * [backup-simplify]: Simplify (* 1 -1) into -1
53.972 * [backup-simplify]: Simplify (/ 1 -1) into -1
53.972 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
53.972 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
53.972 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.973 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.973 * [backup-simplify]: Simplify 2.0 into 2.0
53.973 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.973 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.973 * [taylor]: Taking taylor expansion of alpha in alpha
53.973 * [backup-simplify]: Simplify 0 into 0
53.973 * [backup-simplify]: Simplify 1 into 1
53.973 * [backup-simplify]: Simplify (/ 1 1) into 1
53.973 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.973 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.973 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.973 * [backup-simplify]: Simplify 2.0 into 2.0
53.973 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.973 * [taylor]: Taking taylor expansion of i in alpha
53.973 * [backup-simplify]: Simplify i into i
53.974 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.974 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.974 * [taylor]: Taking taylor expansion of beta in alpha
53.974 * [backup-simplify]: Simplify beta into beta
53.974 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.974 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
53.974 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.974 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.974 * [taylor]: Taking taylor expansion of alpha in alpha
53.974 * [backup-simplify]: Simplify 0 into 0
53.974 * [backup-simplify]: Simplify 1 into 1
53.979 * [backup-simplify]: Simplify (/ 1 1) into 1
53.979 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.979 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.979 * [backup-simplify]: Simplify 2.0 into 2.0
53.979 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.979 * [taylor]: Taking taylor expansion of i in alpha
53.979 * [backup-simplify]: Simplify i into i
53.979 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.979 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.979 * [taylor]: Taking taylor expansion of beta in alpha
53.980 * [backup-simplify]: Simplify beta into beta
53.980 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.980 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
53.980 * [taylor]: Taking taylor expansion of beta in alpha
53.980 * [backup-simplify]: Simplify beta into beta
53.980 * [backup-simplify]: Simplify (+ 1 0) into 1
53.981 * [backup-simplify]: Simplify (- 1) into -1
53.981 * [backup-simplify]: Simplify (+ 0 -1) into -1
53.982 * [backup-simplify]: Simplify (+ 1 0) into 1
53.982 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
53.982 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
53.982 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
53.982 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
53.982 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
53.982 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
53.982 * [taylor]: Taking taylor expansion of 1.0 in alpha
53.982 * [backup-simplify]: Simplify 1.0 into 1.0
53.982 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
53.982 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
53.982 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
53.982 * [taylor]: Taking taylor expansion of alpha in alpha
53.983 * [backup-simplify]: Simplify 0 into 0
53.983 * [backup-simplify]: Simplify 1 into 1
53.983 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.983 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
53.983 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.983 * [backup-simplify]: Simplify 2.0 into 2.0
53.983 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.983 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.983 * [taylor]: Taking taylor expansion of alpha in alpha
53.983 * [backup-simplify]: Simplify 0 into 0
53.983 * [backup-simplify]: Simplify 1 into 1
53.983 * [backup-simplify]: Simplify (/ 1 1) into 1
53.983 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
53.983 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
53.983 * [taylor]: Taking taylor expansion of 2.0 in alpha
53.984 * [backup-simplify]: Simplify 2.0 into 2.0
53.984 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
53.984 * [taylor]: Taking taylor expansion of i in alpha
53.984 * [backup-simplify]: Simplify i into i
53.984 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
53.984 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
53.984 * [taylor]: Taking taylor expansion of beta in alpha
53.984 * [backup-simplify]: Simplify beta into beta
53.984 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
53.984 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
53.984 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
53.984 * [taylor]: Taking taylor expansion of alpha in alpha
53.984 * [backup-simplify]: Simplify 0 into 0
53.984 * [backup-simplify]: Simplify 1 into 1
54.202 * [backup-simplify]: Simplify (/ 1 1) into 1
54.232 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
54.232 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
54.232 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.233 * [backup-simplify]: Simplify 2.0 into 2.0
54.233 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
54.233 * [taylor]: Taking taylor expansion of i in alpha
54.233 * [backup-simplify]: Simplify i into i
54.233 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.233 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
54.233 * [taylor]: Taking taylor expansion of beta in alpha
54.233 * [backup-simplify]: Simplify beta into beta
54.233 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.235 * [backup-simplify]: Simplify (* 1 1) into 1
54.237 * [backup-simplify]: Simplify (+ 1 0) into 1
54.238 * [backup-simplify]: Simplify (- 1) into -1
54.238 * [backup-simplify]: Simplify (+ 0 -1) into -1
54.240 * [backup-simplify]: Simplify (+ 1 0) into 1
54.240 * [backup-simplify]: Simplify (* -1 1) into -1
54.241 * [backup-simplify]: Simplify (* 1 -1) into -1
54.241 * [backup-simplify]: Simplify (/ 1 -1) into -1
54.241 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
54.241 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
54.242 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
54.242 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.242 * [backup-simplify]: Simplify 2.0 into 2.0
54.242 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
54.242 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
54.242 * [taylor]: Taking taylor expansion of alpha in alpha
54.242 * [backup-simplify]: Simplify 0 into 0
54.242 * [backup-simplify]: Simplify 1 into 1
54.242 * [backup-simplify]: Simplify (/ 1 1) into 1
54.242 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
54.242 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
54.242 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.242 * [backup-simplify]: Simplify 2.0 into 2.0
54.242 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
54.242 * [taylor]: Taking taylor expansion of i in alpha
54.242 * [backup-simplify]: Simplify i into i
54.242 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.242 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
54.243 * [taylor]: Taking taylor expansion of beta in alpha
54.243 * [backup-simplify]: Simplify beta into beta
54.243 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.243 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
54.243 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
54.243 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
54.243 * [taylor]: Taking taylor expansion of alpha in alpha
54.243 * [backup-simplify]: Simplify 0 into 0
54.243 * [backup-simplify]: Simplify 1 into 1
54.243 * [backup-simplify]: Simplify (/ 1 1) into 1
54.243 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
54.243 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
54.243 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.243 * [backup-simplify]: Simplify 2.0 into 2.0
54.243 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
54.243 * [taylor]: Taking taylor expansion of i in alpha
54.244 * [backup-simplify]: Simplify i into i
54.244 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.244 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
54.244 * [taylor]: Taking taylor expansion of beta in alpha
54.244 * [backup-simplify]: Simplify beta into beta
54.244 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.244 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
54.244 * [taylor]: Taking taylor expansion of beta in alpha
54.244 * [backup-simplify]: Simplify beta into beta
54.244 * [backup-simplify]: Simplify (+ 1 0) into 1
54.245 * [backup-simplify]: Simplify (- 1) into -1
54.245 * [backup-simplify]: Simplify (+ 0 -1) into -1
54.246 * [backup-simplify]: Simplify (+ 1 0) into 1
54.246 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
54.246 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
54.246 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
54.246 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
54.247 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
54.247 * [backup-simplify]: Simplify (+ 0 0) into 0
54.248 * [taylor]: Taking taylor expansion of 0 in beta
54.248 * [backup-simplify]: Simplify 0 into 0
54.248 * [taylor]: Taking taylor expansion of 0 in i
54.248 * [backup-simplify]: Simplify 0 into 0
54.248 * [backup-simplify]: Simplify 0 into 0
54.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.249 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
54.249 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
54.249 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
54.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.250 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
54.250 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
54.251 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
54.251 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
54.251 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
54.252 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
54.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.253 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
54.254 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
54.254 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
54.255 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
54.255 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
54.255 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
54.255 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
54.255 * [taylor]: Taking taylor expansion of 4.0 in beta
54.255 * [backup-simplify]: Simplify 4.0 into 4.0
54.255 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.255 * [taylor]: Taking taylor expansion of i in beta
54.255 * [backup-simplify]: Simplify i into i
54.255 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.255 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
54.255 * [taylor]: Taking taylor expansion of 2 in beta
54.255 * [backup-simplify]: Simplify 2 into 2
54.255 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.255 * [taylor]: Taking taylor expansion of beta in beta
54.255 * [backup-simplify]: Simplify 0 into 0
54.255 * [backup-simplify]: Simplify 1 into 1
54.256 * [backup-simplify]: Simplify (/ 1 1) into 1
54.256 * [taylor]: Taking taylor expansion of 2.0 in beta
54.256 * [backup-simplify]: Simplify 2.0 into 2.0
54.256 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
54.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.257 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
54.257 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
54.258 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
54.258 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
54.258 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
54.258 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
54.258 * [taylor]: Taking taylor expansion of 4.0 in i
54.258 * [backup-simplify]: Simplify 4.0 into 4.0
54.259 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.259 * [taylor]: Taking taylor expansion of i in i
54.259 * [backup-simplify]: Simplify 0 into 0
54.259 * [backup-simplify]: Simplify 1 into 1
54.259 * [backup-simplify]: Simplify (/ 1 1) into 1
54.259 * [taylor]: Taking taylor expansion of 2.0 in i
54.259 * [backup-simplify]: Simplify 2.0 into 2.0
54.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.261 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
54.261 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
54.263 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
54.263 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
54.271 * [taylor]: Taking taylor expansion of 0 in i
54.271 * [backup-simplify]: Simplify 0 into 0
54.271 * [backup-simplify]: Simplify 0 into 0
54.271 * [backup-simplify]: Simplify 0 into 0
54.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
54.277 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
54.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
54.277 * [backup-simplify]: Simplify (+ 0 0) into 0
54.278 * [backup-simplify]: Simplify (+ 0 0) into 0
54.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
54.280 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
54.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
54.280 * [backup-simplify]: Simplify (+ 0 0) into 0
54.281 * [backup-simplify]: Simplify (+ 0 0) into 0
54.281 * [backup-simplify]: Simplify (- 0) into 0
54.282 * [backup-simplify]: Simplify (+ 0 0) into 0
54.283 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
54.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.289 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
54.291 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
54.293 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
54.293 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
54.294 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
54.295 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
54.295 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
54.295 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
54.295 * [taylor]: Taking taylor expansion of 12.0 in beta
54.295 * [backup-simplify]: Simplify 12.0 into 12.0
54.295 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.295 * [taylor]: Taking taylor expansion of i in beta
54.295 * [backup-simplify]: Simplify i into i
54.295 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.295 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
54.295 * [taylor]: Taking taylor expansion of 6.0 in beta
54.295 * [backup-simplify]: Simplify 6.0 into 6.0
54.295 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.295 * [taylor]: Taking taylor expansion of beta in beta
54.295 * [backup-simplify]: Simplify 0 into 0
54.295 * [backup-simplify]: Simplify 1 into 1
54.299 * [backup-simplify]: Simplify (/ 1 1) into 1
54.299 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
54.299 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
54.299 * [taylor]: Taking taylor expansion of 12.0 in beta
54.299 * [backup-simplify]: Simplify 12.0 into 12.0
54.299 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
54.299 * [taylor]: Taking taylor expansion of (pow i 2) in beta
54.299 * [taylor]: Taking taylor expansion of i in beta
54.299 * [backup-simplify]: Simplify i into i
54.299 * [backup-simplify]: Simplify (* i i) into (pow i 2)
54.299 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
54.300 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
54.300 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
54.300 * [taylor]: Taking taylor expansion of 12.0 in beta
54.300 * [backup-simplify]: Simplify 12.0 into 12.0
54.300 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
54.300 * [taylor]: Taking taylor expansion of (* i beta) in beta
54.300 * [taylor]: Taking taylor expansion of i in beta
54.300 * [backup-simplify]: Simplify i into i
54.300 * [taylor]: Taking taylor expansion of beta in beta
54.300 * [backup-simplify]: Simplify 0 into 0
54.300 * [backup-simplify]: Simplify 1 into 1
54.300 * [backup-simplify]: Simplify (* i 0) into 0
54.300 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
54.301 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.301 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
54.301 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
54.301 * [taylor]: Taking taylor expansion of 2 in beta
54.301 * [backup-simplify]: Simplify 2 into 2
54.301 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
54.301 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
54.301 * [taylor]: Taking taylor expansion of beta in beta
54.301 * [backup-simplify]: Simplify 0 into 0
54.301 * [backup-simplify]: Simplify 1 into 1
54.306 * [backup-simplify]: Simplify (* 1 1) into 1
54.311 * [backup-simplify]: Simplify (/ 1 1) into 1
54.311 * [taylor]: Taking taylor expansion of 4.0 in beta
54.311 * [backup-simplify]: Simplify 4.0 into 4.0
54.311 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
54.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.313 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
54.313 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
54.313 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
54.314 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
54.314 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
54.315 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
54.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.321 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
54.322 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
54.322 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
54.326 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
54.327 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
54.327 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
54.327 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
54.327 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
54.327 * [taylor]: Taking taylor expansion of 12.0 in i
54.327 * [backup-simplify]: Simplify 12.0 into 12.0
54.327 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.327 * [taylor]: Taking taylor expansion of i in i
54.327 * [backup-simplify]: Simplify 0 into 0
54.327 * [backup-simplify]: Simplify 1 into 1
54.330 * [backup-simplify]: Simplify (/ 1 1) into 1
54.330 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
54.330 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
54.330 * [taylor]: Taking taylor expansion of 12.0 in i
54.331 * [backup-simplify]: Simplify 12.0 into 12.0
54.331 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
54.331 * [taylor]: Taking taylor expansion of (pow i 2) in i
54.331 * [taylor]: Taking taylor expansion of i in i
54.331 * [backup-simplify]: Simplify 0 into 0
54.331 * [backup-simplify]: Simplify 1 into 1
54.331 * [backup-simplify]: Simplify (* 1 1) into 1
54.332 * [backup-simplify]: Simplify (/ 1 1) into 1
54.332 * [taylor]: Taking taylor expansion of 4.0 in i
54.332 * [backup-simplify]: Simplify 4.0 into 4.0
54.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.333 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
54.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.343 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
54.344 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
54.344 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
54.352 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
54.352 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
54.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
54.353 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
54.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.355 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
54.357 * [backup-simplify]: Simplify (+ 0 0) into 0
54.357 * [backup-simplify]: Simplify (- 0) into 0
54.358 * [backup-simplify]: Simplify (+ 0 0) into 0
54.358 * [taylor]: Taking taylor expansion of 0 in i
54.358 * [backup-simplify]: Simplify 0 into 0
54.358 * [backup-simplify]: Simplify 0 into 0
54.358 * [taylor]: Taking taylor expansion of 0 in i
54.358 * [backup-simplify]: Simplify 0 into 0
54.358 * [backup-simplify]: Simplify 0 into 0
54.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.360 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
54.360 * [backup-simplify]: Simplify (- 0) into 0
54.361 * [backup-simplify]: Simplify (+ 0 0) into 0
54.361 * [backup-simplify]: Simplify 0 into 0
54.361 * [backup-simplify]: Simplify 0 into 0
54.361 * [backup-simplify]: Simplify 0 into 0
54.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
54.363 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
54.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
54.364 * [backup-simplify]: Simplify (+ 0 0) into 0
54.364 * [backup-simplify]: Simplify (+ 0 0) into 0
54.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
54.366 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
54.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
54.367 * [backup-simplify]: Simplify (+ 0 0) into 0
54.367 * [backup-simplify]: Simplify (+ 0 0) into 0
54.368 * [backup-simplify]: Simplify (- 0) into 0
54.368 * [backup-simplify]: Simplify (+ 0 0) into 0
54.370 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
54.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
54.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
54.379 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
54.382 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
54.383 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
54.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.384 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
54.384 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
54.384 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
54.385 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
54.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.386 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
54.386 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
54.386 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
54.386 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
54.387 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
54.388 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
54.389 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
54.390 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
54.394 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
54.394 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
54.394 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
54.394 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
54.394 * [taylor]: Taking taylor expansion of 20.0 in beta
54.394 * [backup-simplify]: Simplify 20.0 into 20.0
54.394 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
54.394 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
54.394 * [taylor]: Taking taylor expansion of i in beta
54.394 * [backup-simplify]: Simplify i into i
54.394 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
54.394 * [taylor]: Taking taylor expansion of beta in beta
54.394 * [backup-simplify]: Simplify 0 into 0
54.394 * [backup-simplify]: Simplify 1 into 1
54.395 * [backup-simplify]: Simplify (* 1 1) into 1
54.395 * [backup-simplify]: Simplify (* i 1) into i
54.395 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.395 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
54.395 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
54.395 * [taylor]: Taking taylor expansion of 2 in beta
54.395 * [backup-simplify]: Simplify 2 into 2
54.395 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
54.395 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
54.395 * [taylor]: Taking taylor expansion of beta in beta
54.395 * [backup-simplify]: Simplify 0 into 0
54.395 * [backup-simplify]: Simplify 1 into 1
54.396 * [backup-simplify]: Simplify (* 1 1) into 1
54.396 * [backup-simplify]: Simplify (* 1 1) into 1
54.396 * [backup-simplify]: Simplify (/ 1 1) into 1
54.396 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
54.397 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
54.397 * [taylor]: Taking taylor expansion of 48.0 in beta
54.397 * [backup-simplify]: Simplify 48.0 into 48.0
54.397 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
54.397 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
54.397 * [taylor]: Taking taylor expansion of (pow i 2) in beta
54.397 * [taylor]: Taking taylor expansion of i in beta
54.397 * [backup-simplify]: Simplify i into i
54.397 * [taylor]: Taking taylor expansion of beta in beta
54.397 * [backup-simplify]: Simplify 0 into 0
54.397 * [backup-simplify]: Simplify 1 into 1
54.397 * [backup-simplify]: Simplify (* i i) into (pow i 2)
54.397 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
54.397 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
54.398 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
54.398 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
54.398 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
54.398 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
54.398 * [taylor]: Taking taylor expansion of 32.0 in beta
54.398 * [backup-simplify]: Simplify 32.0 into 32.0
54.398 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.398 * [taylor]: Taking taylor expansion of i in beta
54.398 * [backup-simplify]: Simplify i into i
54.398 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.398 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
54.398 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
54.398 * [taylor]: Taking taylor expansion of 16.0 in beta
54.398 * [backup-simplify]: Simplify 16.0 into 16.0
54.398 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.398 * [taylor]: Taking taylor expansion of beta in beta
54.398 * [backup-simplify]: Simplify 0 into 0
54.398 * [backup-simplify]: Simplify 1 into 1
54.399 * [backup-simplify]: Simplify (/ 1 1) into 1
54.399 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
54.399 * [taylor]: Taking taylor expansion of 32.0 in beta
54.399 * [backup-simplify]: Simplify 32.0 into 32.0
54.399 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
54.399 * [taylor]: Taking taylor expansion of (pow i 3) in beta
54.399 * [taylor]: Taking taylor expansion of i in beta
54.399 * [backup-simplify]: Simplify i into i
54.399 * [backup-simplify]: Simplify (* i i) into (pow i 2)
54.399 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
54.399 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
54.400 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
54.400 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
54.400 * [taylor]: Taking taylor expansion of 10.0 in beta
54.400 * [backup-simplify]: Simplify 10.0 into 10.0
54.400 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
54.400 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
54.400 * [taylor]: Taking taylor expansion of beta in beta
54.400 * [backup-simplify]: Simplify 0 into 0
54.400 * [backup-simplify]: Simplify 1 into 1
54.400 * [backup-simplify]: Simplify (* 1 1) into 1
54.401 * [backup-simplify]: Simplify (/ 1 1) into 1
54.401 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
54.401 * [taylor]: Taking taylor expansion of 8.0 in beta
54.401 * [backup-simplify]: Simplify 8.0 into 8.0
54.401 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
54.401 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
54.401 * [taylor]: Taking taylor expansion of 48.0 in beta
54.401 * [backup-simplify]: Simplify 48.0 into 48.0
54.401 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
54.401 * [taylor]: Taking taylor expansion of (pow i 2) in beta
54.401 * [taylor]: Taking taylor expansion of i in beta
54.401 * [backup-simplify]: Simplify i into i
54.401 * [backup-simplify]: Simplify (* i i) into (pow i 2)
54.401 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
54.401 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
54.401 * [taylor]: Taking taylor expansion of 48.0 in beta
54.401 * [backup-simplify]: Simplify 48.0 into 48.0
54.401 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
54.401 * [taylor]: Taking taylor expansion of (* i beta) in beta
54.401 * [taylor]: Taking taylor expansion of i in beta
54.401 * [backup-simplify]: Simplify i into i
54.401 * [taylor]: Taking taylor expansion of beta in beta
54.401 * [backup-simplify]: Simplify 0 into 0
54.401 * [backup-simplify]: Simplify 1 into 1
54.402 * [backup-simplify]: Simplify (* i 0) into 0
54.402 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
54.402 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.405 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
54.405 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
54.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
54.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
54.407 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
54.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
54.409 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
54.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.416 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
54.417 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
54.417 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
54.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
54.418 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
54.419 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
54.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.420 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
54.420 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
54.420 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
54.421 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
54.421 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
54.421 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
54.422 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
54.423 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.427 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
54.427 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
54.428 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
54.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
54.428 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
54.429 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
54.429 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
54.429 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
54.429 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
54.430 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
54.430 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
54.430 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
54.430 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
54.430 * [taylor]: Taking taylor expansion of 32.0 in i
54.430 * [backup-simplify]: Simplify 32.0 into 32.0
54.430 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.430 * [taylor]: Taking taylor expansion of i in i
54.430 * [backup-simplify]: Simplify 0 into 0
54.430 * [backup-simplify]: Simplify 1 into 1
54.431 * [backup-simplify]: Simplify (/ 1 1) into 1
54.431 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
54.431 * [taylor]: Taking taylor expansion of 32.0 in i
54.431 * [backup-simplify]: Simplify 32.0 into 32.0
54.431 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
54.431 * [taylor]: Taking taylor expansion of (pow i 3) in i
54.431 * [taylor]: Taking taylor expansion of i in i
54.431 * [backup-simplify]: Simplify 0 into 0
54.431 * [backup-simplify]: Simplify 1 into 1
54.432 * [backup-simplify]: Simplify (* 1 1) into 1
54.432 * [backup-simplify]: Simplify (* 1 1) into 1
54.432 * [backup-simplify]: Simplify (/ 1 1) into 1
54.432 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
54.432 * [taylor]: Taking taylor expansion of 8.0 in i
54.432 * [backup-simplify]: Simplify 8.0 into 8.0
54.432 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
54.433 * [taylor]: Taking taylor expansion of 48.0 in i
54.433 * [backup-simplify]: Simplify 48.0 into 48.0
54.433 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
54.433 * [taylor]: Taking taylor expansion of (pow i 2) in i
54.433 * [taylor]: Taking taylor expansion of i in i
54.433 * [backup-simplify]: Simplify 0 into 0
54.433 * [backup-simplify]: Simplify 1 into 1
54.433 * [backup-simplify]: Simplify (* 1 1) into 1
54.433 * [backup-simplify]: Simplify (/ 1 1) into 1
54.434 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.435 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
54.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
54.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
54.440 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.441 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.445 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
54.445 * [backup-simplify]: Simplify (+ 0 0) into 0
54.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.449 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
54.450 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
54.450 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
54.523 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
54.525 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
54.549 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
54.554 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1 2)
54.555 * [backup-simplify]: Simplify (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) into (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
54.555 * [approximate]: Taking taylor expansion of (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (beta alpha i) around 0
54.555 * [taylor]: Taking taylor expansion of (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
54.555 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in i
54.555 * [taylor]: Taking taylor expansion of (- beta alpha) in i
54.555 * [taylor]: Taking taylor expansion of beta in i
54.555 * [backup-simplify]: Simplify beta into beta
54.555 * [taylor]: Taking taylor expansion of alpha in i
54.555 * [backup-simplify]: Simplify alpha into alpha
54.555 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
54.555 * [taylor]: Taking taylor expansion of alpha in i
54.556 * [backup-simplify]: Simplify alpha into alpha
54.556 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
54.556 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
54.556 * [taylor]: Taking taylor expansion of 2.0 in i
54.556 * [backup-simplify]: Simplify 2.0 into 2.0
54.556 * [taylor]: Taking taylor expansion of i in i
54.556 * [backup-simplify]: Simplify 0 into 0
54.556 * [backup-simplify]: Simplify 1 into 1
54.556 * [taylor]: Taking taylor expansion of beta in i
54.556 * [backup-simplify]: Simplify beta into beta
54.556 * [backup-simplify]: Simplify (- alpha) into (- alpha)
54.556 * [backup-simplify]: Simplify (+ beta (- alpha)) into (- beta alpha)
54.562 * [backup-simplify]: Simplify (* 2.0 0) into 0
54.562 * [backup-simplify]: Simplify (+ 0 beta) into beta
54.562 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
54.563 * [backup-simplify]: Simplify (/ (- beta alpha) (+ alpha beta)) into (/ (- beta alpha) (+ alpha beta))
54.563 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
54.563 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
54.563 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
54.563 * [taylor]: Taking taylor expansion of alpha in i
54.563 * [backup-simplify]: Simplify alpha into alpha
54.563 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
54.563 * [taylor]: Taking taylor expansion of 2.0 in i
54.563 * [backup-simplify]: Simplify 2.0 into 2.0
54.563 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
54.563 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
54.563 * [taylor]: Taking taylor expansion of 2.0 in i
54.563 * [backup-simplify]: Simplify 2.0 into 2.0
54.563 * [taylor]: Taking taylor expansion of i in i
54.563 * [backup-simplify]: Simplify 0 into 0
54.563 * [backup-simplify]: Simplify 1 into 1
54.563 * [taylor]: Taking taylor expansion of beta in i
54.563 * [backup-simplify]: Simplify beta into beta
54.564 * [backup-simplify]: Simplify (* 2.0 0) into 0
54.564 * [backup-simplify]: Simplify (+ 0 beta) into beta
54.564 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
54.564 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
54.564 * [backup-simplify]: Simplify (/ 1 (+ alpha (+ beta 2.0))) into (/ 1 (+ alpha (+ beta 2.0)))
54.564 * [backup-simplify]: Simplify (sqrt (/ 1 (+ alpha (+ beta 2.0)))) into (sqrt (/ 1 (+ alpha (+ beta 2.0))))
54.576 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
54.576 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
54.576 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.577 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.577 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ alpha (+ beta 2.0))) (/ 2.0 (+ alpha (+ beta 2.0)))))) into (- (* 2.0 (/ 1 (pow (+ alpha (+ beta 2.0)) 2))))
54.578 * [backup-simplify]: Simplify (/ (- (* 2.0 (/ 1 (pow (+ alpha (+ beta 2.0)) 2)))) (* 2 (sqrt (/ 1 (+ alpha (+ beta 2.0)))))) into (* -1.0 (sqrt (/ 1 (pow (+ alpha (+ beta 2.0)) 3))))
54.578 * [taylor]: Taking taylor expansion of (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
54.578 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in alpha
54.578 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
54.578 * [taylor]: Taking taylor expansion of beta in alpha
54.578 * [backup-simplify]: Simplify beta into beta
54.578 * [taylor]: Taking taylor expansion of alpha in alpha
54.578 * [backup-simplify]: Simplify 0 into 0
54.578 * [backup-simplify]: Simplify 1 into 1
54.578 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
54.578 * [taylor]: Taking taylor expansion of alpha in alpha
54.578 * [backup-simplify]: Simplify 0 into 0
54.578 * [backup-simplify]: Simplify 1 into 1
54.578 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
54.578 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.578 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.578 * [backup-simplify]: Simplify 2.0 into 2.0
54.578 * [taylor]: Taking taylor expansion of i in alpha
54.578 * [backup-simplify]: Simplify i into i
54.579 * [taylor]: Taking taylor expansion of beta in alpha
54.579 * [backup-simplify]: Simplify beta into beta
54.579 * [backup-simplify]: Simplify (- 0) into 0
54.579 * [backup-simplify]: Simplify (+ beta 0) into beta
54.579 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.579 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
54.579 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
54.579 * [backup-simplify]: Simplify (/ beta (+ (* 2.0 i) beta)) into (/ beta (+ (* 2.0 i) beta))
54.580 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
54.580 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
54.580 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
54.580 * [taylor]: Taking taylor expansion of alpha in alpha
54.580 * [backup-simplify]: Simplify 0 into 0
54.580 * [backup-simplify]: Simplify 1 into 1
54.580 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
54.580 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.580 * [backup-simplify]: Simplify 2.0 into 2.0
54.580 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
54.580 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.580 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.580 * [backup-simplify]: Simplify 2.0 into 2.0
54.580 * [taylor]: Taking taylor expansion of i in alpha
54.580 * [backup-simplify]: Simplify i into i
54.580 * [taylor]: Taking taylor expansion of beta in alpha
54.580 * [backup-simplify]: Simplify beta into beta
54.580 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.580 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
54.580 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
54.580 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
54.581 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) (+ beta 2.0))) into (/ 1 (+ (* 2.0 i) (+ beta 2.0)))
54.581 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))) into (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0))))
54.581 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.582 * [backup-simplify]: Simplify (+ 0 0) into 0
54.582 * [backup-simplify]: Simplify (+ 0 0) into 0
54.582 * [backup-simplify]: Simplify (+ 1 0) into 1
54.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) (+ beta 2.0))) (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (- (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))
54.583 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) (+ beta 2.0)))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))
54.584 * [taylor]: Taking taylor expansion of (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
54.584 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in beta
54.584 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
54.584 * [taylor]: Taking taylor expansion of beta in beta
54.584 * [backup-simplify]: Simplify 0 into 0
54.584 * [backup-simplify]: Simplify 1 into 1
54.584 * [taylor]: Taking taylor expansion of alpha in beta
54.584 * [backup-simplify]: Simplify alpha into alpha
54.584 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
54.584 * [taylor]: Taking taylor expansion of alpha in beta
54.584 * [backup-simplify]: Simplify alpha into alpha
54.584 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
54.584 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
54.584 * [taylor]: Taking taylor expansion of 2.0 in beta
54.584 * [backup-simplify]: Simplify 2.0 into 2.0
54.584 * [taylor]: Taking taylor expansion of i in beta
54.584 * [backup-simplify]: Simplify i into i
54.584 * [taylor]: Taking taylor expansion of beta in beta
54.584 * [backup-simplify]: Simplify 0 into 0
54.584 * [backup-simplify]: Simplify 1 into 1
54.584 * [backup-simplify]: Simplify (- alpha) into (- alpha)
54.584 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
54.584 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.584 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
54.585 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
54.585 * [backup-simplify]: Simplify (/ (- alpha) (+ alpha (* 2.0 i))) into (* -1 (/ alpha (+ alpha (* 2.0 i))))
54.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
54.585 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
54.585 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
54.585 * [taylor]: Taking taylor expansion of alpha in beta
54.585 * [backup-simplify]: Simplify alpha into alpha
54.585 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
54.585 * [taylor]: Taking taylor expansion of 2.0 in beta
54.585 * [backup-simplify]: Simplify 2.0 into 2.0
54.585 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
54.585 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
54.585 * [taylor]: Taking taylor expansion of 2.0 in beta
54.585 * [backup-simplify]: Simplify 2.0 into 2.0
54.585 * [taylor]: Taking taylor expansion of i in beta
54.585 * [backup-simplify]: Simplify i into i
54.585 * [taylor]: Taking taylor expansion of beta in beta
54.585 * [backup-simplify]: Simplify 0 into 0
54.585 * [backup-simplify]: Simplify 1 into 1
54.585 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.585 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
54.585 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
54.586 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
54.586 * [backup-simplify]: Simplify (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) into (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))
54.586 * [backup-simplify]: Simplify (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))
54.587 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.587 * [backup-simplify]: Simplify (+ 0 1) into 1
54.588 * [backup-simplify]: Simplify (+ 0 1) into 1
54.588 * [backup-simplify]: Simplify (+ 0 1) into 1
54.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))
54.589 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (* 2 (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))
54.589 * [taylor]: Taking taylor expansion of (* (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
54.589 * [taylor]: Taking taylor expansion of (/ (- beta alpha) (+ alpha (+ (* 2.0 i) beta))) in beta
54.589 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
54.589 * [taylor]: Taking taylor expansion of beta in beta
54.589 * [backup-simplify]: Simplify 0 into 0
54.589 * [backup-simplify]: Simplify 1 into 1
54.589 * [taylor]: Taking taylor expansion of alpha in beta
54.589 * [backup-simplify]: Simplify alpha into alpha
54.589 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
54.589 * [taylor]: Taking taylor expansion of alpha in beta
54.589 * [backup-simplify]: Simplify alpha into alpha
54.589 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
54.589 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
54.590 * [taylor]: Taking taylor expansion of 2.0 in beta
54.590 * [backup-simplify]: Simplify 2.0 into 2.0
54.590 * [taylor]: Taking taylor expansion of i in beta
54.590 * [backup-simplify]: Simplify i into i
54.590 * [taylor]: Taking taylor expansion of beta in beta
54.590 * [backup-simplify]: Simplify 0 into 0
54.590 * [backup-simplify]: Simplify 1 into 1
54.590 * [backup-simplify]: Simplify (- alpha) into (- alpha)
54.590 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
54.590 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.590 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
54.590 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
54.590 * [backup-simplify]: Simplify (/ (- alpha) (+ alpha (* 2.0 i))) into (* -1 (/ alpha (+ alpha (* 2.0 i))))
54.590 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
54.590 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
54.590 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
54.590 * [taylor]: Taking taylor expansion of alpha in beta
54.590 * [backup-simplify]: Simplify alpha into alpha
54.590 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
54.590 * [taylor]: Taking taylor expansion of 2.0 in beta
54.591 * [backup-simplify]: Simplify 2.0 into 2.0
54.591 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
54.591 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
54.591 * [taylor]: Taking taylor expansion of 2.0 in beta
54.591 * [backup-simplify]: Simplify 2.0 into 2.0
54.591 * [taylor]: Taking taylor expansion of i in beta
54.591 * [backup-simplify]: Simplify i into i
54.591 * [taylor]: Taking taylor expansion of beta in beta
54.591 * [backup-simplify]: Simplify 0 into 0
54.591 * [backup-simplify]: Simplify 1 into 1
54.591 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.591 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
54.591 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
54.591 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
54.591 * [backup-simplify]: Simplify (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) into (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))
54.591 * [backup-simplify]: Simplify (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) into (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))
54.592 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.593 * [backup-simplify]: Simplify (+ 0 1) into 1
54.593 * [backup-simplify]: Simplify (+ 0 1) into 1
54.593 * [backup-simplify]: Simplify (+ 0 1) into 1
54.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2)))
54.595 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (* 2 (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))
54.595 * [backup-simplify]: Simplify (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))) into (* -1 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))))
54.595 * [taylor]: Taking taylor expansion of (* -1 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) in alpha
54.595 * [taylor]: Taking taylor expansion of -1 in alpha
54.595 * [backup-simplify]: Simplify -1 into -1
54.595 * [taylor]: Taking taylor expansion of (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))) in alpha
54.595 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (* 2.0 i))) in alpha
54.595 * [taylor]: Taking taylor expansion of alpha in alpha
54.595 * [backup-simplify]: Simplify 0 into 0
54.595 * [backup-simplify]: Simplify 1 into 1
54.595 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
54.595 * [taylor]: Taking taylor expansion of alpha in alpha
54.596 * [backup-simplify]: Simplify 0 into 0
54.596 * [backup-simplify]: Simplify 1 into 1
54.596 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.596 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.596 * [backup-simplify]: Simplify 2.0 into 2.0
54.596 * [taylor]: Taking taylor expansion of i in alpha
54.596 * [backup-simplify]: Simplify i into i
54.596 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.596 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
54.596 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
54.596 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
54.596 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) in alpha
54.596 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
54.596 * [taylor]: Taking taylor expansion of alpha in alpha
54.596 * [backup-simplify]: Simplify 0 into 0
54.596 * [backup-simplify]: Simplify 1 into 1
54.596 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
54.596 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.596 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.596 * [backup-simplify]: Simplify 2.0 into 2.0
54.596 * [taylor]: Taking taylor expansion of i in alpha
54.596 * [backup-simplify]: Simplify i into i
54.596 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.596 * [backup-simplify]: Simplify 2.0 into 2.0
54.596 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.597 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
54.597 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
54.597 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
54.597 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
54.598 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.598 * [backup-simplify]: Simplify (+ 0 0) into 0
54.598 * [backup-simplify]: Simplify (+ 1 0) into 1
54.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
54.599 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
54.600 * [backup-simplify]: Simplify (- 0) into 0
54.600 * [backup-simplify]: Simplify (+ 1 0) into 1
54.601 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.601 * [backup-simplify]: Simplify (+ 0 1) into 1
54.602 * [backup-simplify]: Simplify (+ 0 1) into 1
54.602 * [backup-simplify]: Simplify (- (/ 1 (+ alpha (* 2.0 i))) (+ (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (/ 1 (+ alpha (* 2.0 i)))))) into (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))
54.603 * [backup-simplify]: Simplify (+ (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) (* (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (+ alpha (* 2.0 i)))) (+ (* 1/2 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))))
54.604 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (+ alpha (* 2.0 i)))) (+ (* 1/2 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))))) in alpha
54.604 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (+ alpha (* 2.0 i)))) in alpha
54.604 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
54.604 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) in alpha
54.604 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
54.604 * [taylor]: Taking taylor expansion of alpha in alpha
54.604 * [backup-simplify]: Simplify 0 into 0
54.604 * [backup-simplify]: Simplify 1 into 1
54.604 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
54.604 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.604 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.604 * [backup-simplify]: Simplify 2.0 into 2.0
54.604 * [taylor]: Taking taylor expansion of i in alpha
54.604 * [backup-simplify]: Simplify i into i
54.604 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.604 * [backup-simplify]: Simplify 2.0 into 2.0
54.604 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.604 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
54.604 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
54.604 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
54.605 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
54.605 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.606 * [backup-simplify]: Simplify (+ 0 0) into 0
54.606 * [backup-simplify]: Simplify (+ 1 0) into 1
54.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
54.607 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
54.607 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (* 2.0 i))) in alpha
54.607 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
54.607 * [taylor]: Taking taylor expansion of alpha in alpha
54.607 * [backup-simplify]: Simplify 0 into 0
54.607 * [backup-simplify]: Simplify 1 into 1
54.607 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.607 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.607 * [backup-simplify]: Simplify 2.0 into 2.0
54.607 * [taylor]: Taking taylor expansion of i in alpha
54.607 * [backup-simplify]: Simplify i into i
54.607 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.607 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
54.607 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
54.607 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) in alpha
54.608 * [taylor]: Taking taylor expansion of (* 1/2 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) in alpha
54.608 * [taylor]: Taking taylor expansion of 1/2 in alpha
54.608 * [backup-simplify]: Simplify 1/2 into 1/2
54.608 * [taylor]: Taking taylor expansion of (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) in alpha
54.608 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (* 2.0 i))) in alpha
54.608 * [taylor]: Taking taylor expansion of alpha in alpha
54.608 * [backup-simplify]: Simplify 0 into 0
54.608 * [backup-simplify]: Simplify 1 into 1
54.608 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
54.608 * [taylor]: Taking taylor expansion of alpha in alpha
54.608 * [backup-simplify]: Simplify 0 into 0
54.608 * [backup-simplify]: Simplify 1 into 1
54.608 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.608 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.608 * [backup-simplify]: Simplify 2.0 into 2.0
54.608 * [taylor]: Taking taylor expansion of i in alpha
54.608 * [backup-simplify]: Simplify i into i
54.608 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.608 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
54.608 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
54.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
54.608 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
54.608 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
54.608 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
54.608 * [taylor]: Taking taylor expansion of alpha in alpha
54.608 * [backup-simplify]: Simplify 0 into 0
54.608 * [backup-simplify]: Simplify 1 into 1
54.609 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
54.609 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.609 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.609 * [backup-simplify]: Simplify 2.0 into 2.0
54.609 * [taylor]: Taking taylor expansion of i in alpha
54.609 * [backup-simplify]: Simplify i into i
54.609 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.609 * [backup-simplify]: Simplify 2.0 into 2.0
54.609 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.609 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
54.609 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
54.609 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
54.609 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
54.610 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 3))
54.610 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))
54.611 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.611 * [backup-simplify]: Simplify (+ 0 0) into 0
54.612 * [backup-simplify]: Simplify (+ 1 0) into 1
54.612 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
54.612 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ (* 4.0 i) 4.0)) (* 1 (pow (+ (* 2.0 i) 2.0) 2))) into (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0))
54.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) (/ (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0)) (pow (+ (* 2.0 i) 2.0) 3))))) into (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6))))))
54.616 * [backup-simplify]: Simplify (/ (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 3)) (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))))
54.616 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) in alpha
54.616 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
54.616 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) in alpha
54.616 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
54.616 * [taylor]: Taking taylor expansion of alpha in alpha
54.616 * [backup-simplify]: Simplify 0 into 0
54.616 * [backup-simplify]: Simplify 1 into 1
54.616 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
54.616 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.616 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.616 * [backup-simplify]: Simplify 2.0 into 2.0
54.616 * [taylor]: Taking taylor expansion of i in alpha
54.616 * [backup-simplify]: Simplify i into i
54.616 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.616 * [backup-simplify]: Simplify 2.0 into 2.0
54.616 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.616 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
54.616 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
54.616 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
54.617 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
54.617 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.618 * [backup-simplify]: Simplify (+ 0 0) into 0
54.618 * [backup-simplify]: Simplify (+ 1 0) into 1
54.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
54.619 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
54.619 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 2)) in alpha
54.619 * [taylor]: Taking taylor expansion of alpha in alpha
54.619 * [backup-simplify]: Simplify 0 into 0
54.619 * [backup-simplify]: Simplify 1 into 1
54.619 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
54.619 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
54.619 * [taylor]: Taking taylor expansion of alpha in alpha
54.619 * [backup-simplify]: Simplify 0 into 0
54.619 * [backup-simplify]: Simplify 1 into 1
54.619 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.619 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.619 * [backup-simplify]: Simplify 2.0 into 2.0
54.619 * [taylor]: Taking taylor expansion of i in alpha
54.619 * [backup-simplify]: Simplify i into i
54.619 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.620 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
54.620 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
54.620 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
54.620 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 0.5 i)) into (* 0.5 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 i)))
54.620 * [backup-simplify]: Simplify (+ (* 0.5 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 i))) 0) into (* 0.5 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 i)))
54.620 * [taylor]: Taking taylor expansion of (* 0.5 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 i))) in i
54.620 * [taylor]: Taking taylor expansion of 0.5 in i
54.621 * [backup-simplify]: Simplify 0.5 into 0.5
54.621 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 i)) in i
54.621 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 2.0 i) 2.0))) in i
54.621 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) 2.0)) in i
54.621 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
54.621 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
54.621 * [taylor]: Taking taylor expansion of 2.0 in i
54.621 * [backup-simplify]: Simplify 2.0 into 2.0
54.621 * [taylor]: Taking taylor expansion of i in i
54.621 * [backup-simplify]: Simplify 0 into 0
54.621 * [backup-simplify]: Simplify 1 into 1
54.621 * [taylor]: Taking taylor expansion of 2.0 in i
54.621 * [backup-simplify]: Simplify 2.0 into 2.0
54.621 * [backup-simplify]: Simplify (* 2.0 0) into 0
54.622 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.622 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
54.623 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
54.624 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
54.625 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
54.627 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
54.629 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5))
54.629 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.629 * [taylor]: Taking taylor expansion of i in i
54.629 * [backup-simplify]: Simplify 0 into 0
54.629 * [backup-simplify]: Simplify 1 into 1
54.629 * [backup-simplify]: Simplify (/ 1 1) into 1
54.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.635 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* (/ -0.25 (sqrt 0.5)) 1)) into (- (* 0.25 (/ 1 (sqrt 0.5))))
54.636 * [backup-simplify]: Simplify (* (sqrt 0.5) 1) into (sqrt 0.5)
54.641 * [backup-simplify]: Simplify (+ (* 0.5 (- (* 0.25 (/ 1 (sqrt 0.5))))) (* 0 (sqrt 0.5))) into (- (* 0.125 (/ 1 (sqrt 0.5))))
54.644 * [backup-simplify]: Simplify (- (* 0.125 (/ 1 (sqrt 0.5)))) into (- (* 0.125 (/ 1 (sqrt 0.5))))
54.645 * [backup-simplify]: Simplify (* (/ 0.5 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0)))) into (* 0.5 (* (/ 1 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0)))))
54.645 * [backup-simplify]: Simplify (* -1 (* 0.5 (* (/ 1 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0)))))) into (* -0.5 (* (/ 1 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0)))))
54.645 * [taylor]: Taking taylor expansion of (* -0.5 (* (/ 1 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) in i
54.645 * [taylor]: Taking taylor expansion of -0.5 in i
54.645 * [backup-simplify]: Simplify -0.5 into -0.5
54.645 * [taylor]: Taking taylor expansion of (* (/ 1 i) (sqrt (/ 1 (+ (* 2.0 i) 2.0)))) in i
54.645 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.645 * [taylor]: Taking taylor expansion of i in i
54.645 * [backup-simplify]: Simplify 0 into 0
54.645 * [backup-simplify]: Simplify 1 into 1
54.646 * [backup-simplify]: Simplify (/ 1 1) into 1
54.646 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 2.0 i) 2.0))) in i
54.646 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) 2.0)) in i
54.646 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
54.646 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
54.646 * [taylor]: Taking taylor expansion of 2.0 in i
54.646 * [backup-simplify]: Simplify 2.0 into 2.0
54.646 * [taylor]: Taking taylor expansion of i in i
54.646 * [backup-simplify]: Simplify 0 into 0
54.646 * [backup-simplify]: Simplify 1 into 1
54.646 * [taylor]: Taking taylor expansion of 2.0 in i
54.646 * [backup-simplify]: Simplify 2.0 into 2.0
54.647 * [backup-simplify]: Simplify (* 2.0 0) into 0
54.647 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.648 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
54.648 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
54.650 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
54.650 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
54.652 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
54.655 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5))
54.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.659 * [backup-simplify]: Simplify (+ (* 1 (/ -0.25 (sqrt 0.5))) (* 0 (sqrt 0.5))) into (- (* 0.25 (/ 1 (sqrt 0.5))))
54.661 * [backup-simplify]: Simplify (* 1 (sqrt 0.5)) into (sqrt 0.5)
54.667 * [backup-simplify]: Simplify (+ (* -0.5 (- (* 0.25 (/ 1 (sqrt 0.5))))) (* 0 (sqrt 0.5))) into (* 0.125 (/ 1 (sqrt 0.5)))
54.669 * [backup-simplify]: Simplify (* 0.125 (/ 1 (sqrt 0.5))) into (/ 0.125 (sqrt 0.5))
54.670 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
54.671 * [backup-simplify]: Simplify (+ 0 0) into 0
54.671 * [backup-simplify]: Simplify (+ 0 0) into 0
54.672 * [backup-simplify]: Simplify (+ 0 0) into 0
54.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) (/ 0 (+ alpha (+ (* 2.0 i) 2.0)))) (* (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 2))) (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))
54.675 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) (pow (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)))) 2) (+)) (* 2 (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))))) into (* 3/8 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))
54.675 * [backup-simplify]: Simplify (- 0) into 0
54.676 * [backup-simplify]: Simplify (+ 0 0) into 0
54.677 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
54.677 * [backup-simplify]: Simplify (+ 0 0) into 0
54.678 * [backup-simplify]: Simplify (+ 0 0) into 0
54.679 * [backup-simplify]: Simplify (- (/ 0 (+ alpha (* 2.0 i))) (+ (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (/ 0 (+ alpha (* 2.0 i)))) (* (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) (/ 1 (+ alpha (* 2.0 i)))))) into (- (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3))))
54.682 * [backup-simplify]: Simplify (+ (* (* -1 (/ alpha (+ alpha (* 2.0 i)))) (* 3/8 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) (+ (* (+ (/ 1 (+ alpha (* 2.0 i))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) (* -1/2 (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))))) (* (- (+ (/ 1 (pow (+ alpha (* 2.0 i)) 2)) (/ alpha (pow (+ alpha (* 2.0 i)) 3)))) (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0))))))) into (- (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) (+ (* 3/8 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i))))))))))
54.682 * [taylor]: Taking taylor expansion of (- (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) (+ (* 3/8 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i)))))))))) in alpha
54.682 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) (+ (* 3/8 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i))))))))) in alpha
54.682 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ alpha (pow (+ alpha (* 2.0 i)) 3))) in alpha
54.683 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
54.683 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) in alpha
54.683 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
54.683 * [taylor]: Taking taylor expansion of alpha in alpha
54.683 * [backup-simplify]: Simplify 0 into 0
54.683 * [backup-simplify]: Simplify 1 into 1
54.683 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
54.683 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.683 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.683 * [backup-simplify]: Simplify 2.0 into 2.0
54.683 * [taylor]: Taking taylor expansion of i in alpha
54.683 * [backup-simplify]: Simplify i into i
54.683 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.683 * [backup-simplify]: Simplify 2.0 into 2.0
54.683 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.683 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
54.683 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
54.683 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
54.683 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
54.684 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.685 * [backup-simplify]: Simplify (+ 0 0) into 0
54.686 * [backup-simplify]: Simplify (+ 1 0) into 1
54.686 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
54.687 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
54.687 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 3)) in alpha
54.687 * [taylor]: Taking taylor expansion of alpha in alpha
54.687 * [backup-simplify]: Simplify 0 into 0
54.687 * [backup-simplify]: Simplify 1 into 1
54.687 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 3) in alpha
54.687 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
54.687 * [taylor]: Taking taylor expansion of alpha in alpha
54.687 * [backup-simplify]: Simplify 0 into 0
54.687 * [backup-simplify]: Simplify 1 into 1
54.687 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.687 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.687 * [backup-simplify]: Simplify 2.0 into 2.0
54.687 * [taylor]: Taking taylor expansion of i in alpha
54.687 * [backup-simplify]: Simplify i into i
54.687 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.687 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
54.688 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
54.688 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
54.688 * [backup-simplify]: Simplify (/ 1 (* 8.0 (pow i 3))) into (/ 0.125 (pow i 3))
54.688 * [taylor]: Taking taylor expansion of (+ (* 3/8 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) (+ (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i)))))))) in alpha
54.688 * [taylor]: Taking taylor expansion of (* 3/8 (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))))) in alpha
54.688 * [taylor]: Taking taylor expansion of 3/8 in alpha
54.688 * [backup-simplify]: Simplify 3/8 into 3/8
54.688 * [taylor]: Taking taylor expansion of (* (/ alpha (+ alpha (* 2.0 i))) (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5)))) in alpha
54.688 * [taylor]: Taking taylor expansion of (/ alpha (+ alpha (* 2.0 i))) in alpha
54.688 * [taylor]: Taking taylor expansion of alpha in alpha
54.688 * [backup-simplify]: Simplify 0 into 0
54.688 * [backup-simplify]: Simplify 1 into 1
54.689 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
54.689 * [taylor]: Taking taylor expansion of alpha in alpha
54.689 * [backup-simplify]: Simplify 0 into 0
54.689 * [backup-simplify]: Simplify 1 into 1
54.689 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.689 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.689 * [backup-simplify]: Simplify 2.0 into 2.0
54.689 * [taylor]: Taking taylor expansion of i in alpha
54.689 * [backup-simplify]: Simplify i into i
54.689 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.689 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
54.689 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
54.689 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5))) in alpha
54.689 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 5)) in alpha
54.689 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 5) in alpha
54.689 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
54.689 * [taylor]: Taking taylor expansion of alpha in alpha
54.689 * [backup-simplify]: Simplify 0 into 0
54.689 * [backup-simplify]: Simplify 1 into 1
54.689 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
54.689 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.689 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.689 * [backup-simplify]: Simplify 2.0 into 2.0
54.689 * [taylor]: Taking taylor expansion of i in alpha
54.690 * [backup-simplify]: Simplify i into i
54.690 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.690 * [backup-simplify]: Simplify 2.0 into 2.0
54.690 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.690 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
54.690 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
54.690 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
54.691 * [backup-simplify]: Simplify (* (pow (+ (* 2.0 i) 2.0) 2) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 4)
54.691 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 4)) into (pow (+ (* 2.0 i) 2.0) 5)
54.691 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 5)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 5))
54.691 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 5))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 5)))
54.692 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.692 * [backup-simplify]: Simplify (+ 0 0) into 0
54.693 * [backup-simplify]: Simplify (+ 1 0) into 1
54.693 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
54.694 * [backup-simplify]: Simplify (+ (* (pow (+ (* 2.0 i) 2.0) 2) (+ (* 4.0 i) 4.0)) (* (+ (* 4.0 i) 4.0) (pow (+ (* 2.0 i) 2.0) 2))) into (+ 32.0 (+ (* 32.0 (pow i 3)) (+ (* 96.0 (pow i 2)) (* 96.0 i))))
54.695 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ 32.0 (+ (* 32.0 (pow i 3)) (+ (* 96.0 (pow i 2)) (* 96.0 i))))) (* 1 (pow (+ (* 2.0 i) 2.0) 4))) into (+ 80.0 (+ (* 320.0 (pow i 3)) (+ (* 480.0 (pow i 2)) (+ (* 80.0 (pow i 4)) (* 320.0 i)))))
54.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 5)) (/ (+ 80.0 (+ (* 320.0 (pow i 3)) (+ (* 480.0 (pow i 2)) (+ (* 80.0 (pow i 4)) (* 320.0 i))))) (pow (+ (* 2.0 i) 2.0) 5))))) into (- (+ (* 320.0 (/ (pow i 3) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 480.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 320.0 (/ i (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 80.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 10))) (* 80.0 (/ (pow i 4) (pow (+ (* 2.0 i) 2.0) 10))))))))
54.700 * [backup-simplify]: Simplify (/ (- (+ (* 320.0 (/ (pow i 3) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 480.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 320.0 (/ i (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 80.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 10))) (* 80.0 (/ (pow i 4) (pow (+ (* 2.0 i) 2.0) 10)))))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 5))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 5)) (+ (* 320.0 (/ (pow i 3) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 480.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 320.0 (/ i (pow (+ (* 2.0 i) 2.0) 10))) (+ (* 80.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 10))) (* 80.0 (/ (pow i 4) (pow (+ (* 2.0 i) 2.0) 10)))))))))
54.701 * [taylor]: Taking taylor expansion of (+ (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i))))))) in alpha
54.701 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2)))) in alpha
54.701 * [taylor]: Taking taylor expansion of 1/2 in alpha
54.701 * [backup-simplify]: Simplify 1/2 into 1/2
54.701 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ alpha (pow (+ alpha (* 2.0 i)) 2))) in alpha
54.701 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
54.701 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
54.701 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
54.701 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
54.701 * [taylor]: Taking taylor expansion of alpha in alpha
54.701 * [backup-simplify]: Simplify 0 into 0
54.701 * [backup-simplify]: Simplify 1 into 1
54.701 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
54.701 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.701 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.701 * [backup-simplify]: Simplify 2.0 into 2.0
54.701 * [taylor]: Taking taylor expansion of i in alpha
54.701 * [backup-simplify]: Simplify i into i
54.701 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.701 * [backup-simplify]: Simplify 2.0 into 2.0
54.701 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.701 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
54.701 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
54.702 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
54.702 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
54.702 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 3))
54.702 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))
54.703 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.704 * [backup-simplify]: Simplify (+ 0 0) into 0
54.704 * [backup-simplify]: Simplify (+ 1 0) into 1
54.704 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
54.705 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ (* 4.0 i) 4.0)) (* 1 (pow (+ (* 2.0 i) 2.0) 2))) into (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0))
54.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) (/ (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0)) (pow (+ (* 2.0 i) 2.0) 3))))) into (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6))))))
54.707 * [backup-simplify]: Simplify (/ (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 3)) (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))))
54.708 * [taylor]: Taking taylor expansion of (/ alpha (pow (+ alpha (* 2.0 i)) 2)) in alpha
54.708 * [taylor]: Taking taylor expansion of alpha in alpha
54.708 * [backup-simplify]: Simplify 0 into 0
54.708 * [backup-simplify]: Simplify 1 into 1
54.708 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
54.708 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
54.708 * [taylor]: Taking taylor expansion of alpha in alpha
54.708 * [backup-simplify]: Simplify 0 into 0
54.708 * [backup-simplify]: Simplify 1 into 1
54.708 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.708 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.708 * [backup-simplify]: Simplify 2.0 into 2.0
54.708 * [taylor]: Taking taylor expansion of i in alpha
54.708 * [backup-simplify]: Simplify i into i
54.708 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.708 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
54.708 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
54.708 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
54.708 * [taylor]: Taking taylor expansion of (+ (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i)))))) in alpha
54.709 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) (/ 1 (pow (+ alpha (* 2.0 i)) 2))) in alpha
54.709 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ alpha (+ (* 2.0 i) 2.0)))) in alpha
54.709 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (+ (* 2.0 i) 2.0))) in alpha
54.709 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
54.709 * [taylor]: Taking taylor expansion of alpha in alpha
54.709 * [backup-simplify]: Simplify 0 into 0
54.709 * [backup-simplify]: Simplify 1 into 1
54.709 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
54.709 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.709 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.709 * [backup-simplify]: Simplify 2.0 into 2.0
54.709 * [taylor]: Taking taylor expansion of i in alpha
54.709 * [backup-simplify]: Simplify i into i
54.709 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.709 * [backup-simplify]: Simplify 2.0 into 2.0
54.709 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.709 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
54.709 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
54.709 * [backup-simplify]: Simplify (/ 1 (+ (* 2.0 i) 2.0)) into (/ 1 (+ (* 2.0 i) 2.0))
54.710 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (* 2.0 i) 2.0))) into (sqrt (/ 1 (+ (* 2.0 i) 2.0)))
54.710 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.711 * [backup-simplify]: Simplify (+ 0 0) into 0
54.711 * [backup-simplify]: Simplify (+ 1 0) into 1
54.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (* 2.0 i) 2.0)) (/ 1 (+ (* 2.0 i) 2.0))))) into (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2)))
54.712 * [backup-simplify]: Simplify (/ (- (/ 1 (pow (+ (* 2.0 i) 2.0) 2))) (* 2 (sqrt (/ 1 (+ (* 2.0 i) 2.0))))) into (* -1/2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))
54.712 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (* 2.0 i)) 2)) in alpha
54.712 * [taylor]: Taking taylor expansion of (pow (+ alpha (* 2.0 i)) 2) in alpha
54.712 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
54.712 * [taylor]: Taking taylor expansion of alpha in alpha
54.712 * [backup-simplify]: Simplify 0 into 0
54.712 * [backup-simplify]: Simplify 1 into 1
54.712 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.712 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.712 * [backup-simplify]: Simplify 2.0 into 2.0
54.712 * [taylor]: Taking taylor expansion of i in alpha
54.713 * [backup-simplify]: Simplify i into i
54.713 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.713 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
54.713 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
54.713 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow i 2))) into (/ 0.25 (pow i 2))
54.713 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i))))) in alpha
54.713 * [taylor]: Taking taylor expansion of 1/2 in alpha
54.713 * [backup-simplify]: Simplify 1/2 into 1/2
54.713 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) (/ 1 (+ alpha (* 2.0 i)))) in alpha
54.713 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3))) in alpha
54.713 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ alpha (+ (* 2.0 i) 2.0)) 3)) in alpha
54.713 * [taylor]: Taking taylor expansion of (pow (+ alpha (+ (* 2.0 i) 2.0)) 3) in alpha
54.713 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) 2.0)) in alpha
54.713 * [taylor]: Taking taylor expansion of alpha in alpha
54.713 * [backup-simplify]: Simplify 0 into 0
54.713 * [backup-simplify]: Simplify 1 into 1
54.713 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in alpha
54.713 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.714 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.714 * [backup-simplify]: Simplify 2.0 into 2.0
54.714 * [taylor]: Taking taylor expansion of i in alpha
54.714 * [backup-simplify]: Simplify i into i
54.714 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.714 * [backup-simplify]: Simplify 2.0 into 2.0
54.714 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.714 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
54.714 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) 2.0)) into (+ (* 2.0 i) 2.0)
54.714 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
54.715 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
54.715 * [backup-simplify]: Simplify (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) into (/ 1 (pow (+ (* 2.0 i) 2.0) 3))
54.715 * [backup-simplify]: Simplify (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) into (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3)))
54.716 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
54.716 * [backup-simplify]: Simplify (+ 0 0) into 0
54.717 * [backup-simplify]: Simplify (+ 1 0) into 1
54.717 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) 1) (* 1 (+ (* 2.0 i) 2.0))) into (+ (* 4.0 i) 4.0)
54.718 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) 2.0) (+ (* 4.0 i) 4.0)) (* 1 (pow (+ (* 2.0 i) 2.0) 2))) into (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0))
54.719 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) (/ (+ (* 24.0 i) (+ (* 12.0 (pow i 2)) 12.0)) (pow (+ (* 2.0 i) 2.0) 3))))) into (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6))))))
54.721 * [backup-simplify]: Simplify (/ (- (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))) (* 2 (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))))) into (* -1/2 (* (sqrt (pow (+ (* 2.0 i) 2.0) 3)) (+ (* 12.0 (/ 1 (pow (+ (* 2.0 i) 2.0) 6))) (+ (* 24.0 (/ i (pow (+ (* 2.0 i) 2.0) 6))) (* 12.0 (/ (pow i 2) (pow (+ (* 2.0 i) 2.0) 6)))))))
54.721 * [taylor]: Taking taylor expansion of (/ 1 (+ alpha (* 2.0 i))) in alpha
54.721 * [taylor]: Taking taylor expansion of (+ alpha (* 2.0 i)) in alpha
54.721 * [taylor]: Taking taylor expansion of alpha in alpha
54.721 * [backup-simplify]: Simplify 0 into 0
54.721 * [backup-simplify]: Simplify 1 into 1
54.721 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
54.721 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.721 * [backup-simplify]: Simplify 2.0 into 2.0
54.722 * [taylor]: Taking taylor expansion of i in alpha
54.722 * [backup-simplify]: Simplify i into i
54.722 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
54.722 * [backup-simplify]: Simplify (+ 0 (* 2.0 i)) into (* 2.0 i)
54.722 * [backup-simplify]: Simplify (/ 1 (* 2.0 i)) into (/ 0.5 i)
54.722 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 0.25 (pow i 2))) into (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2))))
54.722 * [backup-simplify]: Simplify (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 0.5 i)) into (* 0.5 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))
54.723 * [backup-simplify]: Simplify (* 1/2 (* 0.5 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))) into (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))
54.724 * [backup-simplify]: Simplify (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))) into (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))
54.725 * [backup-simplify]: Simplify (+ 0 (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))) into (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))
54.726 * [backup-simplify]: Simplify (+ 0 (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))) into (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))
54.727 * [backup-simplify]: Simplify (+ 0 (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))) into (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))
54.728 * [backup-simplify]: Simplify (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))) into (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))))
54.728 * [taylor]: Taking taylor expansion of (- (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))))) in i
54.728 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)))) in i
54.728 * [taylor]: Taking taylor expansion of (* 0.25 (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2)))) in i
54.728 * [taylor]: Taking taylor expansion of 0.25 in i
54.728 * [backup-simplify]: Simplify 0.25 into 0.25
54.728 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (* 2.0 i) 2.0))) (/ 1 (pow i 2))) in i
54.728 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (* 2.0 i) 2.0))) in i
54.729 * [taylor]: Taking taylor expansion of (/ 1 (+ (* 2.0 i) 2.0)) in i
54.729 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
54.729 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
54.729 * [taylor]: Taking taylor expansion of 2.0 in i
54.729 * [backup-simplify]: Simplify 2.0 into 2.0
54.729 * [taylor]: Taking taylor expansion of i in i
54.729 * [backup-simplify]: Simplify 0 into 0
54.729 * [backup-simplify]: Simplify 1 into 1
54.729 * [taylor]: Taking taylor expansion of 2.0 in i
54.729 * [backup-simplify]: Simplify 2.0 into 2.0
54.729 * [backup-simplify]: Simplify (* 2.0 0) into 0
54.730 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.730 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
54.731 * [backup-simplify]: Simplify (sqrt 0.5) into (sqrt 0.5)
54.732 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
54.733 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
54.735 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
54.737 * [backup-simplify]: Simplify (/ (- 0.5) (* 2 (sqrt 0.5))) into (/ -0.25 (sqrt 0.5))
54.737 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
54.737 * [taylor]: Taking taylor expansion of (pow i 2) in i
54.737 * [taylor]: Taking taylor expansion of i in i
54.737 * [backup-simplify]: Simplify 0 into 0
54.737 * [backup-simplify]: Simplify 1 into 1
54.745 * [backup-simplify]: Simplify (* 1 1) into 1
54.746 * [backup-simplify]: Simplify (/ 1 1) into 1
54.746 * [taylor]: Taking taylor expansion of (* 0.25 (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i))) in i
54.746 * [taylor]: Taking taylor expansion of 0.25 in i
54.746 * [backup-simplify]: Simplify 0.25 into 0.25
54.746 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) (/ 1 i)) in i
54.746 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow (+ (* 2.0 i) 2.0) 3))) in i
54.746 * [taylor]: Taking taylor expansion of (/ 1 (pow (+ (* 2.0 i) 2.0) 3)) in i
54.746 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) 2.0) 3) in i
54.746 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
54.746 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
54.746 * [taylor]: Taking taylor expansion of 2.0 in i
54.746 * [backup-simplify]: Simplify 2.0 into 2.0
54.746 * [taylor]: Taking taylor expansion of i in i
54.746 * [backup-simplify]: Simplify 0 into 0
54.746 * [backup-simplify]: Simplify 1 into 1
54.746 * [taylor]: Taking taylor expansion of 2.0 in i
54.746 * [backup-simplify]: Simplify 2.0 into 2.0
54.747 * [backup-simplify]: Simplify (* 2.0 0) into 0
54.747 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.748 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
54.748 * [backup-simplify]: Simplify (* 2.0 4.0) into 8.0
54.748 * [backup-simplify]: Simplify (/ 1 8.0) into 0.125
54.749 * [backup-simplify]: Simplify (sqrt 0.125) into (sqrt 0.125)
54.750 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
54.751 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
54.752 * [backup-simplify]: Simplify (+ (* 2.0 2.0) (* 2.0 2.0)) into 8.0
54.754 * [backup-simplify]: Simplify (+ (* 2.0 8.0) (* 2.0 4.0)) into 24.0
54.756 * [backup-simplify]: Simplify (- (+ (* 0.125 (/ 24.0 8.0)))) into (- 0.375)
54.758 * [backup-simplify]: Simplify (/ (- 0.375) (* 2 (sqrt 0.125))) into (/ -0.1875 (sqrt 0.125))
54.758 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.758 * [taylor]: Taking taylor expansion of i in i
54.758 * [backup-simplify]: Simplify 0 into 0
54.758 * [backup-simplify]: Simplify 1 into 1
54.759 * [backup-simplify]: Simplify (/ 1 1) into 1
54.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
54.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
54.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.763 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
54.764 * [backup-simplify]: Simplify (+ 0 0) into 0
54.768 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 0 2.0)) (* (- 0.5) (/ 2.0 2.0)))) into 0.5
54.773 * [backup-simplify]: Simplify (/ (- 0.5 (pow (/ -0.25 (sqrt 0.5)) 2) (+)) (* 2 (sqrt 0.5))) into (* 1/2 (/ (- 0.5 (* 0.0625 (/ 1 (pow (sqrt 0.5) 2)))) (sqrt 0.5)))
54.790 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (+ (* (/ -0.25 (sqrt 0.5)) 0) (* (* 1/2 (/ (- 0.5 (* 0.0625 (/ 1 (pow (sqrt 0.5) 2)))) (sqrt 0.5))) 1))) into (- (* 0.25 (/ 1 (sqrt 0.5))) (* 0.03125 (/ 1 (pow (sqrt 0.5) 3))))
54.793 * [backup-simplify]: Simplify (+ (* (sqrt 0.5) 0) (* (/ -0.25 (sqrt 0.5)) 1)) into (- (* 0.25 (/ 1 (sqrt 0.5))))
54.794 * [backup-simplify]: Simplify (* (sqrt 0.5) 1) into (sqrt 0.5)
54.806 * [backup-simplify]: Simplify (+ (* 0.25 (- (* 0.25 (/ 1 (sqrt 0.5))) (* 0.03125 (/ 1 (pow (sqrt 0.5) 3))))) (+ (* 0 (- (* 0.25 (/ 1 (sqrt 0.5))))) (* 0 (sqrt 0.5)))) into (- (* 0.0625 (/ 1 (sqrt 0.5))) (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3))))
54.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.810 * [backup-simplify]: Simplify (+ (* (sqrt 0.125) 0) (* (/ -0.1875 (sqrt 0.125)) 1)) into (- (* 0.1875 (/ 1 (sqrt 0.125))))
54.811 * [backup-simplify]: Simplify (* (sqrt 0.125) 1) into (sqrt 0.125)
54.817 * [backup-simplify]: Simplify (+ (* 0.25 (- (* 0.1875 (/ 1 (sqrt 0.125))))) (* 0 (sqrt 0.125))) into (- (* 0.046875 (/ 1 (sqrt 0.125))))
54.828 * [backup-simplify]: Simplify (+ (- (* 0.0625 (/ 1 (sqrt 0.5))) (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3)))) (- (* 0.046875 (/ 1 (sqrt 0.125))))) into (- (* 0.0625 (/ 1 (sqrt 0.5))) (+ (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3))) (* 0.046875 (/ 1 (sqrt 0.125)))))
54.843 * [backup-simplify]: Simplify (- (- (* 0.0625 (/ 1 (sqrt 0.5))) (+ (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3))) (* 0.046875 (/ 1 (sqrt 0.125)))))) into (- (+ (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3))) (* 0.046875 (/ 1 (sqrt 0.125)))) (* 0.0625 (/ 1 (sqrt 0.5))))
54.854 * [backup-simplify]: Simplify (- (+ (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3))) (* 0.046875 (/ 1 (sqrt 0.125)))) (* 0.0625 (/ 1 (sqrt 0.5)))) into (- (+ (* 0.046875 (/ 1 (sqrt 0.125))) (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3)))) (* 0.0625 (/ 1 (sqrt 0.5))))
54.869 * [backup-simplify]: Simplify (+ (* (- (+ (* 0.046875 (/ 1 (sqrt 0.125))) (* 0.0078125 (/ 1 (pow (sqrt 0.5) 3)))) (* 0.0625 (/ 1 (sqrt 0.5)))) (pow (* 1 (* 1 beta)) 2)) (+ (* (/ 0.125 (sqrt 0.5)) (* 1 (* alpha 1))) (* (- (* 0.125 (/ 1 (sqrt 0.5)))) (* 1 (* 1 beta))))) into (- (+ (* 0.046875 (/ (pow beta 2) (sqrt 0.125))) (+ (* 0.0078125 (/ (pow beta 2) (pow (sqrt 0.5) 3))) (* 0.125 (/ alpha (sqrt 0.5))))) (+ (* 0.125 (/ beta (sqrt 0.5))) (* 0.0625 (/ (pow beta 2) (sqrt 0.5)))))
54.870 * [backup-simplify]: Simplify (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) into (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))
54.870 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in (beta alpha i) around 0
54.870 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
54.870 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
54.870 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
54.870 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
54.870 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
54.870 * [taylor]: Taking taylor expansion of alpha in i
54.870 * [backup-simplify]: Simplify alpha into alpha
54.870 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.870 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
54.870 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
54.870 * [taylor]: Taking taylor expansion of 2.0 in i
54.870 * [backup-simplify]: Simplify 2.0 into 2.0
54.870 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.871 * [taylor]: Taking taylor expansion of i in i
54.871 * [backup-simplify]: Simplify 0 into 0
54.871 * [backup-simplify]: Simplify 1 into 1
54.871 * [backup-simplify]: Simplify (/ 1 1) into 1
54.871 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
54.871 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
54.871 * [taylor]: Taking taylor expansion of beta in i
54.871 * [backup-simplify]: Simplify beta into beta
54.871 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.871 * [taylor]: Taking taylor expansion of 2.0 in i
54.871 * [backup-simplify]: Simplify 2.0 into 2.0
54.872 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
54.872 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
54.873 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.873 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
54.874 * [backup-simplify]: Simplify (sqrt 0) into 0
54.875 * [backup-simplify]: Simplify (/ 0.5 (* 2 (sqrt 0))) into +nan.0
54.875 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
54.875 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in i
54.875 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
54.875 * [taylor]: Taking taylor expansion of beta in i
54.875 * [backup-simplify]: Simplify beta into beta
54.875 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.876 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
54.876 * [taylor]: Taking taylor expansion of alpha in i
54.876 * [backup-simplify]: Simplify alpha into alpha
54.876 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.876 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
54.876 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
54.876 * [taylor]: Taking taylor expansion of alpha in i
54.876 * [backup-simplify]: Simplify alpha into alpha
54.876 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.876 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
54.876 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
54.876 * [taylor]: Taking taylor expansion of 2.0 in i
54.876 * [backup-simplify]: Simplify 2.0 into 2.0
54.876 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.876 * [taylor]: Taking taylor expansion of i in i
54.876 * [backup-simplify]: Simplify 0 into 0
54.876 * [backup-simplify]: Simplify 1 into 1
54.876 * [backup-simplify]: Simplify (/ 1 1) into 1
54.877 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
54.877 * [taylor]: Taking taylor expansion of beta in i
54.877 * [backup-simplify]: Simplify beta into beta
54.877 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.877 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
54.877 * [backup-simplify]: Simplify (+ (/ 1 beta) (- (/ 1 alpha))) into (- (/ 1 beta) (/ 1 alpha))
54.877 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
54.878 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
54.878 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.878 * [backup-simplify]: Simplify (/ (- (/ 1 beta) (/ 1 alpha)) 2.0) into (* 0.5 (- (/ 1 beta) (/ 1 alpha)))
54.879 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
54.879 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
54.879 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
54.879 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
54.879 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
54.879 * [taylor]: Taking taylor expansion of alpha in alpha
54.879 * [backup-simplify]: Simplify 0 into 0
54.879 * [backup-simplify]: Simplify 1 into 1
54.879 * [backup-simplify]: Simplify (/ 1 1) into 1
54.879 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
54.879 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
54.879 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.879 * [backup-simplify]: Simplify 2.0 into 2.0
54.879 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
54.879 * [taylor]: Taking taylor expansion of i in alpha
54.879 * [backup-simplify]: Simplify i into i
54.879 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.880 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
54.880 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
54.880 * [taylor]: Taking taylor expansion of beta in alpha
54.880 * [backup-simplify]: Simplify beta into beta
54.880 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.880 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.880 * [backup-simplify]: Simplify 2.0 into 2.0
54.880 * [backup-simplify]: Simplify (+ 1 0) into 1
54.881 * [backup-simplify]: Simplify (/ 1 1) into 1
54.881 * [backup-simplify]: Simplify (sqrt 0) into 0
54.883 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
54.883 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
54.883 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
54.883 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
54.883 * [taylor]: Taking taylor expansion of beta in alpha
54.883 * [backup-simplify]: Simplify beta into beta
54.883 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.883 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
54.883 * [taylor]: Taking taylor expansion of alpha in alpha
54.883 * [backup-simplify]: Simplify 0 into 0
54.883 * [backup-simplify]: Simplify 1 into 1
54.884 * [backup-simplify]: Simplify (/ 1 1) into 1
54.884 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
54.884 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
54.884 * [taylor]: Taking taylor expansion of alpha in alpha
54.884 * [backup-simplify]: Simplify 0 into 0
54.884 * [backup-simplify]: Simplify 1 into 1
54.884 * [backup-simplify]: Simplify (/ 1 1) into 1
54.884 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
54.884 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
54.884 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.884 * [backup-simplify]: Simplify 2.0 into 2.0
54.884 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
54.884 * [taylor]: Taking taylor expansion of i in alpha
54.884 * [backup-simplify]: Simplify i into i
54.884 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.884 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
54.885 * [taylor]: Taking taylor expansion of beta in alpha
54.885 * [backup-simplify]: Simplify beta into beta
54.885 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.885 * [backup-simplify]: Simplify (- 1) into -1
54.885 * [backup-simplify]: Simplify (+ 0 -1) into -1
54.886 * [backup-simplify]: Simplify (+ 1 0) into 1
54.886 * [backup-simplify]: Simplify (/ -1 1) into -1
54.886 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
54.886 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
54.886 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
54.887 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
54.887 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.887 * [taylor]: Taking taylor expansion of alpha in beta
54.887 * [backup-simplify]: Simplify alpha into alpha
54.887 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.887 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
54.887 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
54.887 * [taylor]: Taking taylor expansion of 2.0 in beta
54.887 * [backup-simplify]: Simplify 2.0 into 2.0
54.887 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.887 * [taylor]: Taking taylor expansion of i in beta
54.887 * [backup-simplify]: Simplify i into i
54.887 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.887 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
54.887 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.887 * [taylor]: Taking taylor expansion of beta in beta
54.887 * [backup-simplify]: Simplify 0 into 0
54.887 * [backup-simplify]: Simplify 1 into 1
54.888 * [backup-simplify]: Simplify (/ 1 1) into 1
54.888 * [taylor]: Taking taylor expansion of 2.0 in beta
54.888 * [backup-simplify]: Simplify 2.0 into 2.0
54.888 * [backup-simplify]: Simplify (+ 1 0) into 1
54.889 * [backup-simplify]: Simplify (+ 0 1) into 1
54.889 * [backup-simplify]: Simplify (+ 0 1) into 1
54.889 * [backup-simplify]: Simplify (/ 1 1) into 1
54.890 * [backup-simplify]: Simplify (sqrt 0) into 0
54.891 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
54.891 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
54.891 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
54.891 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.891 * [taylor]: Taking taylor expansion of beta in beta
54.891 * [backup-simplify]: Simplify 0 into 0
54.891 * [backup-simplify]: Simplify 1 into 1
54.892 * [backup-simplify]: Simplify (/ 1 1) into 1
54.892 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.892 * [taylor]: Taking taylor expansion of alpha in beta
54.892 * [backup-simplify]: Simplify alpha into alpha
54.892 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.892 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
54.892 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.892 * [taylor]: Taking taylor expansion of alpha in beta
54.892 * [backup-simplify]: Simplify alpha into alpha
54.892 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.892 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
54.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
54.892 * [taylor]: Taking taylor expansion of 2.0 in beta
54.892 * [backup-simplify]: Simplify 2.0 into 2.0
54.892 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.892 * [taylor]: Taking taylor expansion of i in beta
54.892 * [backup-simplify]: Simplify i into i
54.893 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.893 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.893 * [taylor]: Taking taylor expansion of beta in beta
54.893 * [backup-simplify]: Simplify 0 into 0
54.893 * [backup-simplify]: Simplify 1 into 1
54.893 * [backup-simplify]: Simplify (/ 1 1) into 1
54.893 * [backup-simplify]: Simplify (+ 1 0) into 1
54.894 * [backup-simplify]: Simplify (+ 0 1) into 1
54.894 * [backup-simplify]: Simplify (+ 0 1) into 1
54.895 * [backup-simplify]: Simplify (/ 1 1) into 1
54.895 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
54.895 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
54.895 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
54.895 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
54.895 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.895 * [taylor]: Taking taylor expansion of alpha in beta
54.895 * [backup-simplify]: Simplify alpha into alpha
54.895 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.895 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
54.895 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
54.895 * [taylor]: Taking taylor expansion of 2.0 in beta
54.895 * [backup-simplify]: Simplify 2.0 into 2.0
54.895 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.895 * [taylor]: Taking taylor expansion of i in beta
54.895 * [backup-simplify]: Simplify i into i
54.896 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.896 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
54.896 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.896 * [taylor]: Taking taylor expansion of beta in beta
54.896 * [backup-simplify]: Simplify 0 into 0
54.896 * [backup-simplify]: Simplify 1 into 1
54.896 * [backup-simplify]: Simplify (/ 1 1) into 1
54.896 * [taylor]: Taking taylor expansion of 2.0 in beta
54.896 * [backup-simplify]: Simplify 2.0 into 2.0
54.905 * [backup-simplify]: Simplify (+ 1 0) into 1
54.906 * [backup-simplify]: Simplify (+ 0 1) into 1
54.907 * [backup-simplify]: Simplify (+ 0 1) into 1
54.907 * [backup-simplify]: Simplify (/ 1 1) into 1
54.907 * [backup-simplify]: Simplify (sqrt 0) into 0
54.909 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0
54.909 * [taylor]: Taking taylor expansion of (/ (- (/ 1 beta) (/ 1 alpha)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
54.909 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
54.909 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.909 * [taylor]: Taking taylor expansion of beta in beta
54.909 * [backup-simplify]: Simplify 0 into 0
54.909 * [backup-simplify]: Simplify 1 into 1
54.909 * [backup-simplify]: Simplify (/ 1 1) into 1
54.909 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.909 * [taylor]: Taking taylor expansion of alpha in beta
54.909 * [backup-simplify]: Simplify alpha into alpha
54.910 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.910 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
54.910 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.910 * [taylor]: Taking taylor expansion of alpha in beta
54.910 * [backup-simplify]: Simplify alpha into alpha
54.910 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.910 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
54.910 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
54.910 * [taylor]: Taking taylor expansion of 2.0 in beta
54.910 * [backup-simplify]: Simplify 2.0 into 2.0
54.910 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.910 * [taylor]: Taking taylor expansion of i in beta
54.910 * [backup-simplify]: Simplify i into i
54.910 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.910 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.910 * [taylor]: Taking taylor expansion of beta in beta
54.910 * [backup-simplify]: Simplify 0 into 0
54.910 * [backup-simplify]: Simplify 1 into 1
54.910 * [backup-simplify]: Simplify (/ 1 1) into 1
54.911 * [backup-simplify]: Simplify (+ 1 0) into 1
54.911 * [backup-simplify]: Simplify (+ 0 1) into 1
54.912 * [backup-simplify]: Simplify (+ 0 1) into 1
54.912 * [backup-simplify]: Simplify (/ 1 1) into 1
54.913 * [backup-simplify]: Simplify (* 0 1) into 0
54.913 * [taylor]: Taking taylor expansion of 0 in alpha
54.913 * [backup-simplify]: Simplify 0 into 0
54.913 * [taylor]: Taking taylor expansion of 0 in i
54.913 * [backup-simplify]: Simplify 0 into 0
54.913 * [backup-simplify]: Simplify 0 into 0
54.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.914 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
54.914 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
54.914 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
54.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.915 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
54.915 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
54.916 * [backup-simplify]: Simplify (- (/ (- (/ 1 alpha)) 1) (+ (* 1 (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))
54.917 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))) (* +nan.0 1)) into (- +nan.0)
54.917 * [taylor]: Taking taylor expansion of (- +nan.0) in alpha
54.917 * [taylor]: Taking taylor expansion of +nan.0 in alpha
54.917 * [backup-simplify]: Simplify +nan.0 into +nan.0
54.921 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
54.921 * [taylor]: Taking taylor expansion of (- +nan.0) in i
54.921 * [taylor]: Taking taylor expansion of +nan.0 in i
54.921 * [backup-simplify]: Simplify +nan.0 into +nan.0
54.921 * [backup-simplify]: Simplify (- 0) into 0
54.921 * [backup-simplify]: Simplify 0 into 0
54.921 * [taylor]: Taking taylor expansion of 0 in i
54.921 * [backup-simplify]: Simplify 0 into 0
54.922 * [backup-simplify]: Simplify 0 into 0
54.922 * [backup-simplify]: Simplify 0 into 0
54.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
54.923 * [backup-simplify]: Simplify (- 0) into 0
54.923 * [backup-simplify]: Simplify (+ 0 0) into 0
54.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
54.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
54.924 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
54.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.926 * [backup-simplify]: Simplify (+ 0 0) into 0
54.926 * [backup-simplify]: Simplify (+ 0 0) into 0
54.928 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))))
54.928 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
54.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.929 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.929 * [backup-simplify]: Simplify (+ (/ 2.0 i) 2.0) into (+ (* 2.0 (/ 1 i)) 2.0)
54.930 * [backup-simplify]: Simplify (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) into (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0))
54.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)) 1)))) into (- (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0)))
54.932 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) 2.0))) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 alpha) (- (* 2.0 (/ 1 i)) +nan.0)))
54.933 * [backup-simplify]: Simplify (+ (* 0 (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2)))))) (+ (* +nan.0 (- (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))))) (* (* +nan.0 (+ (/ 1 alpha) (- (* 2.0 (/ 1 i)) +nan.0))) 1))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))))
54.933 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))))) in alpha
54.933 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) in alpha
54.933 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
54.933 * [taylor]: Taking taylor expansion of +nan.0 in alpha
54.933 * [backup-simplify]: Simplify +nan.0 into +nan.0
54.933 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
54.933 * [taylor]: Taking taylor expansion of alpha in alpha
54.933 * [backup-simplify]: Simplify 0 into 0
54.933 * [backup-simplify]: Simplify 1 into 1
54.934 * [backup-simplify]: Simplify (/ 1 1) into 1
54.934 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))) in alpha
54.934 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- +nan.0)) in alpha
54.934 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
54.934 * [taylor]: Taking taylor expansion of +nan.0 in alpha
54.934 * [backup-simplify]: Simplify +nan.0 into +nan.0
54.934 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
54.934 * [taylor]: Taking taylor expansion of i in alpha
54.934 * [backup-simplify]: Simplify i into i
54.934 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.934 * [taylor]: Taking taylor expansion of (- +nan.0) in alpha
54.934 * [taylor]: Taking taylor expansion of +nan.0 in alpha
54.934 * [backup-simplify]: Simplify +nan.0 into +nan.0
54.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.935 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
54.935 * [backup-simplify]: Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
54.936 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
54.936 * [backup-simplify]: Simplify (+ (/ +nan.0 i) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
54.937 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
54.937 * [backup-simplify]: Simplify (+ 0 (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
54.938 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
54.938 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))) in i
54.938 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- +nan.0)) in i
54.938 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
54.938 * [taylor]: Taking taylor expansion of +nan.0 in i
54.938 * [backup-simplify]: Simplify +nan.0 into +nan.0
54.938 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.938 * [taylor]: Taking taylor expansion of i in i
54.938 * [backup-simplify]: Simplify 0 into 0
54.938 * [backup-simplify]: Simplify 1 into 1
54.939 * [backup-simplify]: Simplify (/ 1 1) into 1
54.939 * [taylor]: Taking taylor expansion of (- +nan.0) in i
54.939 * [taylor]: Taking taylor expansion of +nan.0 in i
54.939 * [backup-simplify]: Simplify +nan.0 into +nan.0
54.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.942 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
54.943 * [backup-simplify]: Simplify (- 0) into 0
54.943 * [backup-simplify]: Simplify (+ 0 0) into 0
54.944 * [backup-simplify]: Simplify (- 0) into 0
54.944 * [backup-simplify]: Simplify 0 into 0
54.944 * [backup-simplify]: Simplify (- 0) into 0
54.944 * [taylor]: Taking taylor expansion of 0 in i
54.944 * [backup-simplify]: Simplify 0 into 0
54.944 * [backup-simplify]: Simplify 0 into 0
54.944 * [backup-simplify]: Simplify 0 into 0
54.946 * [backup-simplify]: Simplify (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) into (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))
54.946 * [approximate]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in (beta alpha i) around 0
54.947 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
54.947 * [taylor]: Taking taylor expansion of -1 in i
54.947 * [backup-simplify]: Simplify -1 into -1
54.947 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
54.947 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
54.947 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
54.947 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
54.947 * [taylor]: Taking taylor expansion of 2.0 in i
54.947 * [backup-simplify]: Simplify 2.0 into 2.0
54.947 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
54.947 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
54.947 * [taylor]: Taking taylor expansion of alpha in i
54.947 * [backup-simplify]: Simplify alpha into alpha
54.947 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.947 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
54.947 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
54.947 * [taylor]: Taking taylor expansion of 2.0 in i
54.947 * [backup-simplify]: Simplify 2.0 into 2.0
54.947 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.947 * [taylor]: Taking taylor expansion of i in i
54.947 * [backup-simplify]: Simplify 0 into 0
54.947 * [backup-simplify]: Simplify 1 into 1
54.949 * [backup-simplify]: Simplify (/ 1 1) into 1
54.949 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
54.949 * [taylor]: Taking taylor expansion of beta in i
54.949 * [backup-simplify]: Simplify beta into beta
54.949 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.950 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
54.951 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
54.951 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.951 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
54.952 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
54.955 * [backup-simplify]: Simplify (/ 1 (- 2.0)) into -0.5
54.955 * [backup-simplify]: Simplify (sqrt 0) into 0
54.957 * [backup-simplify]: Simplify (/ -0.5 (* 2 (sqrt 0))) into +nan.0
54.957 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
54.957 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in i
54.957 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
54.957 * [taylor]: Taking taylor expansion of alpha in i
54.957 * [backup-simplify]: Simplify alpha into alpha
54.957 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.957 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
54.957 * [taylor]: Taking taylor expansion of beta in i
54.957 * [backup-simplify]: Simplify beta into beta
54.957 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.957 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
54.957 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
54.957 * [taylor]: Taking taylor expansion of alpha in i
54.957 * [backup-simplify]: Simplify alpha into alpha
54.957 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.957 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
54.957 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
54.957 * [taylor]: Taking taylor expansion of 2.0 in i
54.957 * [backup-simplify]: Simplify 2.0 into 2.0
54.957 * [taylor]: Taking taylor expansion of (/ 1 i) in i
54.957 * [taylor]: Taking taylor expansion of i in i
54.958 * [backup-simplify]: Simplify 0 into 0
54.958 * [backup-simplify]: Simplify 1 into 1
54.958 * [backup-simplify]: Simplify (/ 1 1) into 1
54.958 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
54.958 * [taylor]: Taking taylor expansion of beta in i
54.958 * [backup-simplify]: Simplify beta into beta
54.958 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.958 * [backup-simplify]: Simplify (- (/ 1 beta)) into (- (/ 1 beta))
54.959 * [backup-simplify]: Simplify (+ (/ 1 alpha) (- (/ 1 beta))) into (- (/ 1 alpha) (/ 1 beta))
54.959 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
54.960 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
54.960 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
54.960 * [backup-simplify]: Simplify (/ (- (/ 1 alpha) (/ 1 beta)) 2.0) into (* 0.5 (- (/ 1 alpha) (/ 1 beta)))
54.960 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
54.960 * [taylor]: Taking taylor expansion of -1 in alpha
54.960 * [backup-simplify]: Simplify -1 into -1
54.961 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
54.961 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
54.961 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
54.961 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
54.961 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.961 * [backup-simplify]: Simplify 2.0 into 2.0
54.961 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
54.961 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
54.961 * [taylor]: Taking taylor expansion of alpha in alpha
54.961 * [backup-simplify]: Simplify 0 into 0
54.961 * [backup-simplify]: Simplify 1 into 1
54.961 * [backup-simplify]: Simplify (/ 1 1) into 1
54.961 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
54.961 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
54.961 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.962 * [backup-simplify]: Simplify 2.0 into 2.0
54.962 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
54.962 * [taylor]: Taking taylor expansion of i in alpha
54.962 * [backup-simplify]: Simplify i into i
54.962 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.962 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
54.962 * [taylor]: Taking taylor expansion of beta in alpha
54.962 * [backup-simplify]: Simplify beta into beta
54.962 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.962 * [backup-simplify]: Simplify (+ 1 0) into 1
54.963 * [backup-simplify]: Simplify (- 1) into -1
54.963 * [backup-simplify]: Simplify (+ 0 -1) into -1
54.964 * [backup-simplify]: Simplify (/ 1 -1) into -1
54.964 * [backup-simplify]: Simplify (sqrt 0) into 0
54.965 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
54.965 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
54.966 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
54.966 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
54.966 * [taylor]: Taking taylor expansion of alpha in alpha
54.966 * [backup-simplify]: Simplify 0 into 0
54.966 * [backup-simplify]: Simplify 1 into 1
54.966 * [backup-simplify]: Simplify (/ 1 1) into 1
54.966 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
54.966 * [taylor]: Taking taylor expansion of beta in alpha
54.966 * [backup-simplify]: Simplify beta into beta
54.966 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.966 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
54.966 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
54.966 * [taylor]: Taking taylor expansion of alpha in alpha
54.966 * [backup-simplify]: Simplify 0 into 0
54.966 * [backup-simplify]: Simplify 1 into 1
54.967 * [backup-simplify]: Simplify (/ 1 1) into 1
54.967 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
54.967 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
54.967 * [taylor]: Taking taylor expansion of 2.0 in alpha
54.967 * [backup-simplify]: Simplify 2.0 into 2.0
54.967 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
54.967 * [taylor]: Taking taylor expansion of i in alpha
54.967 * [backup-simplify]: Simplify i into i
54.967 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.967 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
54.967 * [taylor]: Taking taylor expansion of beta in alpha
54.967 * [backup-simplify]: Simplify beta into beta
54.967 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
54.968 * [backup-simplify]: Simplify (+ 1 0) into 1
54.968 * [backup-simplify]: Simplify (+ 1 0) into 1
54.969 * [backup-simplify]: Simplify (/ 1 1) into 1
54.969 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
54.969 * [taylor]: Taking taylor expansion of -1 in beta
54.969 * [backup-simplify]: Simplify -1 into -1
54.969 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
54.969 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
54.969 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
54.969 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
54.969 * [taylor]: Taking taylor expansion of 2.0 in beta
54.969 * [backup-simplify]: Simplify 2.0 into 2.0
54.969 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
54.969 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.969 * [taylor]: Taking taylor expansion of alpha in beta
54.969 * [backup-simplify]: Simplify alpha into alpha
54.969 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.969 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
54.969 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
54.969 * [taylor]: Taking taylor expansion of 2.0 in beta
54.969 * [backup-simplify]: Simplify 2.0 into 2.0
54.969 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.969 * [taylor]: Taking taylor expansion of i in beta
54.969 * [backup-simplify]: Simplify i into i
54.969 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.969 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.970 * [taylor]: Taking taylor expansion of beta in beta
54.970 * [backup-simplify]: Simplify 0 into 0
54.970 * [backup-simplify]: Simplify 1 into 1
54.970 * [backup-simplify]: Simplify (/ 1 1) into 1
54.970 * [backup-simplify]: Simplify (+ 0 1) into 1
54.971 * [backup-simplify]: Simplify (+ 0 1) into 1
54.971 * [backup-simplify]: Simplify (- 1) into -1
54.972 * [backup-simplify]: Simplify (+ 0 -1) into -1
54.972 * [backup-simplify]: Simplify (/ 1 -1) into -1
54.973 * [backup-simplify]: Simplify (sqrt 0) into 0
54.974 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
54.974 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
54.974 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
54.974 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.974 * [taylor]: Taking taylor expansion of alpha in beta
54.974 * [backup-simplify]: Simplify alpha into alpha
54.974 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.974 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.974 * [taylor]: Taking taylor expansion of beta in beta
54.974 * [backup-simplify]: Simplify 0 into 0
54.974 * [backup-simplify]: Simplify 1 into 1
54.975 * [backup-simplify]: Simplify (/ 1 1) into 1
54.975 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
54.975 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.975 * [taylor]: Taking taylor expansion of alpha in beta
54.975 * [backup-simplify]: Simplify alpha into alpha
54.975 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.975 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
54.975 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
54.975 * [taylor]: Taking taylor expansion of 2.0 in beta
54.975 * [backup-simplify]: Simplify 2.0 into 2.0
54.975 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.975 * [taylor]: Taking taylor expansion of i in beta
54.975 * [backup-simplify]: Simplify i into i
54.975 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.975 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.975 * [taylor]: Taking taylor expansion of beta in beta
54.975 * [backup-simplify]: Simplify 0 into 0
54.975 * [backup-simplify]: Simplify 1 into 1
54.976 * [backup-simplify]: Simplify (/ 1 1) into 1
54.976 * [backup-simplify]: Simplify (- 1) into -1
54.977 * [backup-simplify]: Simplify (+ 0 -1) into -1
54.977 * [backup-simplify]: Simplify (+ 0 1) into 1
54.978 * [backup-simplify]: Simplify (+ 0 1) into 1
54.978 * [backup-simplify]: Simplify (/ -1 1) into -1
54.978 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
54.978 * [taylor]: Taking taylor expansion of -1 in beta
54.978 * [backup-simplify]: Simplify -1 into -1
54.978 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
54.978 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
54.978 * [taylor]: Taking taylor expansion of (/ 1 (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
54.978 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
54.978 * [taylor]: Taking taylor expansion of 2.0 in beta
54.978 * [backup-simplify]: Simplify 2.0 into 2.0
54.978 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
54.978 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.979 * [taylor]: Taking taylor expansion of alpha in beta
54.979 * [backup-simplify]: Simplify alpha into alpha
54.979 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.979 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
54.979 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
54.979 * [taylor]: Taking taylor expansion of 2.0 in beta
54.979 * [backup-simplify]: Simplify 2.0 into 2.0
54.979 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.979 * [taylor]: Taking taylor expansion of i in beta
54.979 * [backup-simplify]: Simplify i into i
54.979 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.979 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.979 * [taylor]: Taking taylor expansion of beta in beta
54.979 * [backup-simplify]: Simplify 0 into 0
54.979 * [backup-simplify]: Simplify 1 into 1
54.979 * [backup-simplify]: Simplify (/ 1 1) into 1
54.980 * [backup-simplify]: Simplify (+ 0 1) into 1
54.980 * [backup-simplify]: Simplify (+ 0 1) into 1
54.981 * [backup-simplify]: Simplify (- 1) into -1
54.981 * [backup-simplify]: Simplify (+ 0 -1) into -1
54.981 * [backup-simplify]: Simplify (/ 1 -1) into -1
54.982 * [backup-simplify]: Simplify (sqrt 0) into 0
54.983 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0
54.983 * [taylor]: Taking taylor expansion of (/ (- (/ 1 alpha) (/ 1 beta)) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
54.983 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
54.983 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.983 * [taylor]: Taking taylor expansion of alpha in beta
54.983 * [backup-simplify]: Simplify alpha into alpha
54.983 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.983 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.983 * [taylor]: Taking taylor expansion of beta in beta
54.983 * [backup-simplify]: Simplify 0 into 0
54.984 * [backup-simplify]: Simplify 1 into 1
54.984 * [backup-simplify]: Simplify (/ 1 1) into 1
54.984 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
54.984 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
54.984 * [taylor]: Taking taylor expansion of alpha in beta
54.984 * [backup-simplify]: Simplify alpha into alpha
54.984 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
54.984 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
54.984 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
54.984 * [taylor]: Taking taylor expansion of 2.0 in beta
54.984 * [backup-simplify]: Simplify 2.0 into 2.0
54.984 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
54.984 * [taylor]: Taking taylor expansion of i in beta
54.984 * [backup-simplify]: Simplify i into i
54.984 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
54.984 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
54.985 * [taylor]: Taking taylor expansion of beta in beta
54.985 * [backup-simplify]: Simplify 0 into 0
54.985 * [backup-simplify]: Simplify 1 into 1
54.985 * [backup-simplify]: Simplify (/ 1 1) into 1
54.985 * [backup-simplify]: Simplify (- 1) into -1
54.986 * [backup-simplify]: Simplify (+ 0 -1) into -1
54.986 * [backup-simplify]: Simplify (+ 0 1) into 1
54.987 * [backup-simplify]: Simplify (+ 0 1) into 1
54.987 * [backup-simplify]: Simplify (/ -1 1) into -1
54.988 * [backup-simplify]: Simplify (* 0 -1) into 0
54.988 * [backup-simplify]: Simplify (* -1 0) into 0
54.988 * [taylor]: Taking taylor expansion of 0 in alpha
54.988 * [backup-simplify]: Simplify 0 into 0
54.988 * [taylor]: Taking taylor expansion of 0 in i
54.988 * [backup-simplify]: Simplify 0 into 0
54.988 * [backup-simplify]: Simplify 0 into 0
54.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.989 * [backup-simplify]: Simplify (- 0) into 0
54.989 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
54.990 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
54.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
54.990 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
54.991 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
54.991 * [backup-simplify]: Simplify (- (/ (/ 1 alpha) 1) (+ (* -1 (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))
54.992 * [backup-simplify]: Simplify (+ (* 0 (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (* +nan.0 -1)) into (- +nan.0)
54.994 * [backup-simplify]: Simplify (+ (* -1 (- +nan.0)) (* 0 0)) into (- +nan.0)
54.994 * [taylor]: Taking taylor expansion of (- +nan.0) in alpha
54.994 * [taylor]: Taking taylor expansion of +nan.0 in alpha
54.994 * [backup-simplify]: Simplify +nan.0 into +nan.0
54.994 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
54.994 * [taylor]: Taking taylor expansion of (- +nan.0) in i
54.994 * [taylor]: Taking taylor expansion of +nan.0 in i
54.994 * [backup-simplify]: Simplify +nan.0 into +nan.0
54.995 * [backup-simplify]: Simplify (- 0) into 0
54.995 * [backup-simplify]: Simplify 0 into 0
54.995 * [taylor]: Taking taylor expansion of 0 in i
54.995 * [backup-simplify]: Simplify 0 into 0
54.995 * [backup-simplify]: Simplify 0 into 0
54.995 * [backup-simplify]: Simplify 0 into 0
54.995 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
54.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.996 * [backup-simplify]: Simplify (- 0) into 0
54.997 * [backup-simplify]: Simplify (+ 0 0) into 0
54.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
54.997 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
54.998 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
54.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
54.999 * [backup-simplify]: Simplify (+ 0 0) into 0
54.999 * [backup-simplify]: Simplify (+ 0 0) into 0
55.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i))) (/ (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 1)))) into (- (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))))
55.001 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
55.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
55.002 * [backup-simplify]: Simplify (+ (/ 2.0 i) 0) into (* 2.0 (/ 1 i))
55.002 * [backup-simplify]: Simplify (+ (/ 1 alpha) (* 2.0 (/ 1 i))) into (+ (/ 1 alpha) (* 2.0 (/ 1 i)))
55.002 * [backup-simplify]: Simplify (- (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) into (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
55.002 * [backup-simplify]: Simplify (+ 2.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))))) into (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i))))
55.003 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (/ 1 alpha) (* 2.0 (/ 1 i)))) -1)))) into (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 2.0)
55.004 * [backup-simplify]: Simplify (/ (- (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))) 2.0) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))) +nan.0))
55.006 * [backup-simplify]: Simplify (+ (* 0 (- (+ (* 6.0 (/ 1 (* alpha i))) (+ (* 4.0 (/ 1 (pow i 2))) (* 2 (/ 1 (pow alpha 2))))))) (+ (* +nan.0 (+ (* 2 (/ 1 alpha)) (* 2.0 (/ 1 i)))) (* (* +nan.0 (- (+ (/ 1 alpha) (* 2.0 (/ 1 i))) +nan.0)) -1))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))))
55.007 * [backup-simplify]: Simplify (+ (* -1 (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))))) (+ (* 0 (- +nan.0)) (* 0 0))) into (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))))
55.008 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))))) in alpha
55.008 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 alpha)) (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) in alpha
55.008 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 alpha)) in alpha
55.008 * [taylor]: Taking taylor expansion of +nan.0 in alpha
55.008 * [backup-simplify]: Simplify +nan.0 into +nan.0
55.008 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
55.008 * [taylor]: Taking taylor expansion of alpha in alpha
55.008 * [backup-simplify]: Simplify 0 into 0
55.008 * [backup-simplify]: Simplify 1 into 1
55.008 * [backup-simplify]: Simplify (/ 1 1) into 1
55.008 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))) in alpha
55.008 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- +nan.0)) in alpha
55.008 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in alpha
55.008 * [taylor]: Taking taylor expansion of +nan.0 in alpha
55.008 * [backup-simplify]: Simplify +nan.0 into +nan.0
55.008 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
55.008 * [taylor]: Taking taylor expansion of i in alpha
55.008 * [backup-simplify]: Simplify i into i
55.009 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
55.009 * [taylor]: Taking taylor expansion of (- +nan.0) in alpha
55.009 * [taylor]: Taking taylor expansion of +nan.0 in alpha
55.009 * [backup-simplify]: Simplify +nan.0 into +nan.0
55.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
55.010 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0
55.011 * [backup-simplify]: Simplify (* +nan.0 (/ 1 i)) into (/ +nan.0 i)
55.011 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0)
55.012 * [backup-simplify]: Simplify (+ (/ +nan.0 i) (- +nan.0)) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
55.013 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
55.013 * [backup-simplify]: Simplify (+ 0 (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
55.014 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))) into (- (+ (* +nan.0 (/ 1 i)) (- +nan.0)))
55.014 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ 1 i)) (- +nan.0))) in i
55.014 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 i)) (- +nan.0)) in i
55.014 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 i)) in i
55.014 * [taylor]: Taking taylor expansion of +nan.0 in i
55.014 * [backup-simplify]: Simplify +nan.0 into +nan.0
55.014 * [taylor]: Taking taylor expansion of (/ 1 i) in i
55.014 * [taylor]: Taking taylor expansion of i in i
55.014 * [backup-simplify]: Simplify 0 into 0
55.014 * [backup-simplify]: Simplify 1 into 1
55.015 * [backup-simplify]: Simplify (/ 1 1) into 1
55.015 * [taylor]: Taking taylor expansion of (- +nan.0) in i
55.015 * [taylor]: Taking taylor expansion of +nan.0 in i
55.015 * [backup-simplify]: Simplify +nan.0 into +nan.0
55.016 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
55.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
55.018 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 1))) into 0
55.019 * [backup-simplify]: Simplify (- 0) into 0
55.019 * [backup-simplify]: Simplify (+ 0 0) into 0
55.020 * [backup-simplify]: Simplify (- 0) into 0
55.020 * [backup-simplify]: Simplify 0 into 0
55.020 * [backup-simplify]: Simplify (- 0) into 0
55.020 * [taylor]: Taking taylor expansion of 0 in i
55.020 * [backup-simplify]: Simplify 0 into 0
55.020 * [backup-simplify]: Simplify 0 into 0
55.020 * [backup-simplify]: Simplify 0 into 0
55.020 * * * [progress]: simplifying candidates
55.030 * [simplify]: Simplifying:
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  (log (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
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  (log (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
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  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ 1 1)
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- beta alpha) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- beta alpha) (sqrt (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- beta alpha) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- beta alpha) (sqrt 1))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- beta alpha) (sqrt 1))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (- beta alpha) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- beta alpha) 1)
  (/ (/ 1 (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt 1))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt 1))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (pow (+ alpha beta) 3) (pow (* 2.0 i) 3))) 1)
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (- (+ alpha beta) (* 2.0 i)) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt 1))
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt 1))
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (- (* (+ alpha beta) (+ alpha beta)) (* (* 2.0 i) (* 2.0 i)))) 1)
  (/ (- (+ alpha beta) (* 2.0 i)) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ 1 (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (* (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt 1))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt 1))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) 1)
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (sqrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (sqrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ 1 (+ (+ alpha beta) (* 2.0 i))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (* (+ alpha beta) (+ alpha beta)) (- (* (* 2.0 i) (* 2.0 i)) (* (+ alpha beta) (* 2.0 i)))))
  (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (- (+ alpha beta) (* 2.0 i)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (pow (+ (+ alpha beta) (* 2.0 i)) 3) (pow 2.0 3))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (- (* (+ (+ alpha beta) (* 2.0 i)) (+ (+ alpha beta) (* 2.0 i))) (* 2.0 2.0))))
  (* (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (+ (+ alpha beta) (* 2.0 i)))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 0.046875 (/ (pow beta 2) (sqrt 0.125))) (+ (* 0.0078125 (/ (pow beta 2) (pow (sqrt 0.5) 3))) (* 0.125 (/ alpha (sqrt 0.5))))) (+ (* 0.125 (/ beta (sqrt 0.5))) (* 0.0625 (/ (pow beta 2) (sqrt 0.5)))))
  0
  0
55.056 * * [simplify]: iteration 0: 353 enodes
55.278 * * [simplify]: iteration 1: 887 enodes
56.026 * * [simplify]: iteration 2: 2944 enodes
58.005 * * [simplify]: iteration complete: 5008 enodes
58.005 * * [simplify]: Extracting #0: cost 181 inf + 0
58.009 * * [simplify]: Extracting #1: cost 940 inf + 2
58.018 * * [simplify]: Extracting #2: cost 1482 inf + 254
58.054 * * [simplify]: Extracting #3: cost 1761 inf + 5013
58.084 * * [simplify]: Extracting #4: cost 1628 inf + 37594
58.165 * * [simplify]: Extracting #5: cost 918 inf + 259616
58.405 * * [simplify]: Extracting #6: cost 193 inf + 583849
58.655 * * [simplify]: Extracting #7: cost 11 inf + 660894
58.909 * * [simplify]: Extracting #8: cost 0 inf + 664808
59.168 * [simplify]: Simplified to:
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (log (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)))
  (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (* (* (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)) (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (+ (* (* (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* 1.0 (* 1.0 1.0)))
  (+ (* (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* 1.0 (- 1.0 (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))))))
  (- (* (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* 1.0 1.0))
  (- (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (log (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)))
  (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (* (* (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)) (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (+ (* (* (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* 1.0 (* 1.0 1.0)))
  (+ (* (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* 1.0 (- 1.0 (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))))))
  (- (* (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* 1.0 1.0))
  (- (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (log (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)))
  (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (* (* (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)) (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0))
  (+ (* (* (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* 1.0 (* 1.0 1.0)))
  (+ (* (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* 1.0 (- 1.0 (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))))))
  (- (* (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))) (* 1.0 1.0))
  (- (* (/ (+ alpha beta) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) 1.0)
  (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (log (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (exp (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (* (* (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
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  1
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  1
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  1
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  (/ (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* i 2.0)))) (fabs (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- (sqrt beta) (sqrt alpha)) (* (sqrt (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (sqrt (+ (+ alpha beta) (* i 2.0)))))
  (/ (+ (sqrt beta) (sqrt alpha)) (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (sqrt (+ (+ alpha beta) (* i 2.0)))))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* i 2.0)))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* i 2.0)))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (+ (sqrt beta) (sqrt alpha)) (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (sqrt (+ (+ alpha beta) (* i 2.0)))))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (sqrt (+ (+ alpha beta) (* i 2.0)))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (/ (+ (sqrt beta) (sqrt alpha)) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- (sqrt beta) (sqrt alpha)) (* (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (+ alpha beta) (* i 2.0))))
  (/ (+ (sqrt beta) (sqrt alpha)) (fabs (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* i 2.0))) (sqrt (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- (sqrt beta) (sqrt alpha)) (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (+ alpha beta) (* i 2.0))))
  (+ (sqrt beta) (sqrt alpha))
  (/ (- (sqrt beta) (sqrt alpha)) (* (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (+ (+ alpha beta) (* i 2.0))))
  (+ (sqrt beta) (sqrt alpha))
  (/ (- (sqrt beta) (sqrt alpha)) (* (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (+ (+ alpha beta) (* i 2.0))))
  (/ (+ (sqrt beta) (sqrt alpha)) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- (sqrt beta) (sqrt alpha)) (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (+ alpha beta) (* i 2.0))))
  (+ (sqrt beta) (sqrt alpha))
  (/ (- (sqrt beta) (sqrt alpha)) (* (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (+ (+ alpha beta) (* i 2.0))))
  (/ 1 (* (* (cbrt (+ (+ alpha beta) (* i 2.0))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (* (cbrt (+ (+ alpha beta) (* i 2.0))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))))
  (/ (/ (- beta alpha) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (cbrt (+ (+ alpha beta) (* i 2.0))))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* i 2.0))) (cbrt (+ (+ alpha beta) (* i 2.0))))) (fabs (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* i 2.0)))) (sqrt (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* i 2.0))) (cbrt (+ (+ alpha beta) (* i 2.0))))) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ (- beta alpha) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (cbrt (+ (+ alpha beta) (* i 2.0))))
  (/ 1 (* (cbrt (+ (+ alpha beta) (* i 2.0))) (cbrt (+ (+ alpha beta) (* i 2.0)))))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* i 2.0)))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ 1 (* (cbrt (+ (+ alpha beta) (* i 2.0))) (cbrt (+ (+ alpha beta) (* i 2.0)))))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* i 2.0)))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* i 2.0))) (cbrt (+ (+ alpha beta) (* i 2.0))))) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ (- beta alpha) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (cbrt (+ (+ alpha beta) (* i 2.0))))
  (/ 1 (* (cbrt (+ (+ alpha beta) (* i 2.0))) (cbrt (+ (+ alpha beta) (* i 2.0)))))
  (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* i 2.0)))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (/ 1 (sqrt (+ (+ alpha beta) (* i 2.0)))) (* (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* i 2.0)))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ 1 (fabs (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (/ (- beta alpha) (sqrt (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ 1 (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (sqrt (+ (+ alpha beta) (* i 2.0)))))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* i 2.0)))) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ 1 (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (/ (- beta alpha) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ 1 (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (/ (- beta alpha) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ 1 (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (sqrt (+ (+ alpha beta) (* i 2.0)))))
  (/ (/ (- beta alpha) (sqrt (+ (+ alpha beta) (* i 2.0)))) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ 1 (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (/ (- beta alpha) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ 1 (* (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ 1 (fabs (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ 1 (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- beta alpha) (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (+ alpha beta) (* i 2.0))))
  1
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  1
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ 1 (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- beta alpha) (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (+ alpha beta) (* i 2.0))))
  1
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ 1 (* (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ 1 (fabs (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ 1 (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- beta alpha) (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (+ alpha beta) (* i 2.0))))
  1
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  1
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ 1 (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- beta alpha) (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (+ alpha beta) (* i 2.0))))
  1
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (/ (- beta alpha) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ 1 (+ (+ alpha beta) (* i 2.0))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- beta alpha) (fabs (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ 1 (+ (+ alpha beta) (* i 2.0))) (sqrt (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- beta alpha) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ 1 (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (+ (+ alpha beta) (* i 2.0)))
  (- beta alpha)
  (/ (/ 1 (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (- beta alpha)
  (/ (/ 1 (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (- beta alpha) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ 1 (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (+ (+ alpha beta) (* i 2.0)))
  (- beta alpha)
  (/ (/ 1 (+ (+ alpha beta) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (- beta alpha) (* (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (* (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (* (* i 2.0) (* (* 2.0 i) (* 2.0 i))) (* (+ alpha beta) (* (+ alpha beta) (+ alpha beta)))))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (* (- (* i 2.0) (+ alpha beta)) (* i 2.0))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ (- beta alpha) (fabs (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (+ (* (* i 2.0) (* (* 2.0 i) (* 2.0 i))) (* (+ alpha beta) (* (+ alpha beta) (+ alpha beta)))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (* (- (* i 2.0) (+ alpha beta)) (* i 2.0))) (sqrt (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ (- beta alpha) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (+ (* (* i 2.0) (* (* 2.0 i) (* 2.0 i))) (* (+ alpha beta) (* (+ alpha beta) (+ alpha beta)))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (* (- (* i 2.0) (+ alpha beta)) (* i 2.0))) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- beta alpha) (+ (* (* i 2.0) (* (* 2.0 i) (* 2.0 i))) (* (+ alpha beta) (* (+ alpha beta) (+ alpha beta)))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (* (- (* i 2.0) (+ alpha beta)) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (- beta alpha) (+ (* (* i 2.0) (* (* 2.0 i) (* 2.0 i))) (* (+ alpha beta) (* (+ alpha beta) (+ alpha beta)))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (* (- (* i 2.0) (+ alpha beta)) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (/ (- beta alpha) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (+ (* (* i 2.0) (* (* 2.0 i) (* 2.0 i))) (* (+ alpha beta) (* (+ alpha beta) (+ alpha beta)))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (* (- (* i 2.0) (+ alpha beta)) (* i 2.0))) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- beta alpha) (+ (* (* i 2.0) (* (* 2.0 i) (* 2.0 i))) (* (+ alpha beta) (* (+ alpha beta) (+ alpha beta)))))
  (/ (+ (* (+ alpha beta) (+ alpha beta)) (* (- (* i 2.0) (+ alpha beta)) (* i 2.0))) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (/ (/ (- beta alpha) (* (+ (+ alpha beta) (* i 2.0)) (- (+ alpha beta) (* i 2.0)))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- (+ alpha beta) (* i 2.0)) (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ (- beta alpha) (* (+ (+ alpha beta) (* i 2.0)) (- (+ alpha beta) (* i 2.0)))) (fabs (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- (+ alpha beta) (* i 2.0)) (sqrt (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (/ (- beta alpha) (* (+ (+ alpha beta) (* i 2.0)) (- (+ alpha beta) (* i 2.0)))) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- (+ alpha beta) (* i 2.0)) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- beta alpha) (* (+ (+ alpha beta) (* i 2.0)) (- (+ alpha beta) (* i 2.0))))
  (/ (- (+ alpha beta) (* i 2.0)) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (- beta alpha) (* (+ (+ alpha beta) (* i 2.0)) (- (+ alpha beta) (* i 2.0))))
  (/ (- (+ alpha beta) (* i 2.0)) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (/ (- beta alpha) (* (+ (+ alpha beta) (* i 2.0)) (- (+ alpha beta) (* i 2.0)))) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- (+ alpha beta) (* i 2.0)) (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))))
  (/ (- beta alpha) (* (+ (+ alpha beta) (* i 2.0)) (- (+ alpha beta) (* i 2.0))))
  (/ (- (+ alpha beta) (* i 2.0)) (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ 1 (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))))
  (/ (- beta alpha) (* (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (* (cbrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (+ alpha beta) (* i 2.0)))))
  (/ (/ (- beta alpha) (fabs (cbrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))))) (+ (+ alpha beta) (* i 2.0)))
  (/ (- beta alpha) (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (+ alpha beta) (* i 2.0))))
  (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0)))
  (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0)))
  (/ (- beta alpha) (* (sqrt (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0)))))) (+ (+ alpha beta) (* i 2.0))))
  (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0)))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (cbrt (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0)))))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (sqrt (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0)))))
  (* (cbrt (+ (+ alpha beta) (* i 2.0))) (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (cbrt (- beta alpha))))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (/ (cbrt (- beta alpha)) (sqrt (+ (+ alpha beta) (* i 2.0)))))
  (* (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (cbrt (- beta alpha))) (+ (+ alpha beta) (* i 2.0)))
  (* (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (sqrt (- beta alpha))) (cbrt (+ (+ alpha beta) (* i 2.0))))
  (* (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (sqrt (- beta alpha))) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (/ (sqrt (- beta alpha)) (+ (+ alpha beta) (* i 2.0))))
  (* (cbrt (+ (+ alpha beta) (* i 2.0))) (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (- beta alpha)))
  (* (sqrt (+ (+ alpha beta) (* i 2.0))) (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (- beta alpha)))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (/ (- (sqrt beta) (sqrt alpha)) (cbrt (+ (+ alpha beta) (* i 2.0)))))
  (* (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (- (sqrt beta) (sqrt alpha))) (sqrt (+ (+ alpha beta) (* i 2.0))))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (/ (- (sqrt beta) (sqrt alpha)) (+ (+ alpha beta) (* i 2.0))))
  (* (cbrt (+ (+ alpha beta) (* i 2.0))) (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (- beta alpha)))
  (* (sqrt (+ (+ alpha beta) (* i 2.0))) (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (- beta alpha)))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))))
  (* (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (+ (+ alpha beta) (* i 2.0)))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (+ (* (+ alpha beta) (+ alpha beta)) (* (- (* i 2.0) (+ alpha beta)) (* i 2.0))))
  (/ (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (- (+ alpha beta) (* i 2.0)))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (+ (* 2.0 (* 2.0 2.0)) (* (* (+ (+ alpha beta) (* i 2.0)) (+ (+ alpha beta) (* i 2.0))) (+ (+ alpha beta) (* i 2.0))))))
  (/ (/ (- beta alpha) (+ (+ alpha beta) (* i 2.0))) (sqrt (* (+ (+ (+ alpha beta) (* i 2.0)) 2.0) (- (+ (+ alpha beta) (* i 2.0)) 2.0))))
  (* (sqrt (+ beta (+ alpha (+ 2.0 (* i 2.0))))) (+ (+ alpha beta) (* i 2.0)))
  (+ (* 0.25 (- (* alpha alpha) (* beta beta))) 1.0)
  (+ (/ (/ 8.0 alpha) (* alpha alpha)) (- (/ 2.0 alpha) (/ (/ 4.0 alpha) alpha)))
  (+ (/ (/ 8.0 alpha) (* alpha alpha)) (- (/ 2.0 alpha) (/ (/ 4.0 alpha) alpha)))
  (+ (* 0.25 (- (* alpha alpha) (* beta beta))) 1.0)
  (+ (/ (/ 8.0 alpha) (* alpha alpha)) (- (/ 2.0 alpha) (/ (/ 4.0 alpha) alpha)))
  (+ (/ (/ 8.0 alpha) (* alpha alpha)) (- (/ 2.0 alpha) (/ (/ 4.0 alpha) alpha)))
  (+ (* 0.25 (- (* alpha alpha) (* beta beta))) 1.0)
  (+ (/ (/ 8.0 alpha) (* alpha alpha)) (- (/ 2.0 alpha) (/ (/ 4.0 alpha) alpha)))
  (+ (/ (/ 8.0 alpha) (* alpha alpha)) (- (/ 2.0 alpha) (/ (/ 4.0 alpha) alpha)))
  (- (+ (+ (* (/ 0.0078125 0.5) (/ (* beta beta) (sqrt 0.5))) (/ 0.046875 (/ (sqrt 0.125) (* beta beta)))) (- (/ (* 0.125 alpha) (sqrt 0.5)) (* 0.125 (/ beta (sqrt 0.5))))) (* (/ (* beta beta) (sqrt 0.5)) 0.0625))
  0
  0
59.337 * * * [progress]: adding candidates to table
62.099 * * [progress]: iteration 4 / 4
62.100 * * * [progress]: picking best candidate
62.221 * * * * [pick]: Picked  #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))) 2.0))>
62.221 * * * [progress]: localizing error
62.475 * * * [progress]: generating rewritten candidates
62.475 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 1 2 2)
63.750 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 1 2 1)
64.106 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 1 1)
64.503 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1 2 2 1 2 2 2 1)
64.513 * * * [progress]: generating series expansions
64.513 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 1 2 2)
64.516 * [backup-simplify]: Simplify (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
64.516 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
64.516 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
64.516 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
64.516 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
64.516 * [taylor]: Taking taylor expansion of (pow beta 2) in i
64.516 * [taylor]: Taking taylor expansion of beta in i
64.516 * [backup-simplify]: Simplify beta into beta
64.516 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
64.516 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
64.516 * [taylor]: Taking taylor expansion of alpha in i
64.516 * [backup-simplify]: Simplify alpha into alpha
64.516 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
64.516 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
64.516 * [taylor]: Taking taylor expansion of 2.0 in i
64.516 * [backup-simplify]: Simplify 2.0 into 2.0
64.516 * [taylor]: Taking taylor expansion of i in i
64.516 * [backup-simplify]: Simplify 0 into 0
64.516 * [backup-simplify]: Simplify 1 into 1
64.516 * [taylor]: Taking taylor expansion of beta in i
64.516 * [backup-simplify]: Simplify beta into beta
64.516 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
64.516 * [taylor]: Taking taylor expansion of alpha in i
64.516 * [backup-simplify]: Simplify alpha into alpha
64.516 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
64.516 * [taylor]: Taking taylor expansion of 2.0 in i
64.516 * [backup-simplify]: Simplify 2.0 into 2.0
64.516 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
64.517 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
64.517 * [taylor]: Taking taylor expansion of 2.0 in i
64.517 * [backup-simplify]: Simplify 2.0 into 2.0
64.517 * [taylor]: Taking taylor expansion of i in i
64.517 * [backup-simplify]: Simplify 0 into 0
64.517 * [backup-simplify]: Simplify 1 into 1
64.517 * [taylor]: Taking taylor expansion of beta in i
64.517 * [backup-simplify]: Simplify beta into beta
64.517 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
64.518 * [backup-simplify]: Simplify (* 2.0 0) into 0
64.518 * [backup-simplify]: Simplify (+ 0 beta) into beta
64.518 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
64.518 * [backup-simplify]: Simplify (* 2.0 0) into 0
64.518 * [backup-simplify]: Simplify (+ 0 beta) into beta
64.518 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
64.518 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
64.519 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
64.519 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
64.519 * [taylor]: Taking taylor expansion of 1.0 in i
64.519 * [backup-simplify]: Simplify 1.0 into 1.0
64.519 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
64.519 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
64.519 * [taylor]: Taking taylor expansion of alpha in i
64.519 * [backup-simplify]: Simplify alpha into alpha
64.519 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
64.519 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
64.519 * [taylor]: Taking taylor expansion of alpha in i
64.519 * [backup-simplify]: Simplify alpha into alpha
64.519 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
64.519 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
64.519 * [taylor]: Taking taylor expansion of 2.0 in i
64.519 * [backup-simplify]: Simplify 2.0 into 2.0
64.519 * [taylor]: Taking taylor expansion of i in i
64.520 * [backup-simplify]: Simplify 0 into 0
64.520 * [backup-simplify]: Simplify 1 into 1
64.520 * [taylor]: Taking taylor expansion of beta in i
64.520 * [backup-simplify]: Simplify beta into beta
64.520 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
64.520 * [taylor]: Taking taylor expansion of alpha in i
64.520 * [backup-simplify]: Simplify alpha into alpha
64.520 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
64.520 * [taylor]: Taking taylor expansion of 2.0 in i
64.520 * [backup-simplify]: Simplify 2.0 into 2.0
64.520 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
64.520 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
64.520 * [taylor]: Taking taylor expansion of 2.0 in i
64.520 * [backup-simplify]: Simplify 2.0 into 2.0
64.520 * [taylor]: Taking taylor expansion of i in i
64.520 * [backup-simplify]: Simplify 0 into 0
64.520 * [backup-simplify]: Simplify 1 into 1
64.520 * [taylor]: Taking taylor expansion of beta in i
64.520 * [backup-simplify]: Simplify beta into beta
64.520 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
64.521 * [backup-simplify]: Simplify (* 2.0 0) into 0
64.521 * [backup-simplify]: Simplify (+ 0 beta) into beta
64.521 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
64.521 * [backup-simplify]: Simplify (* 2.0 0) into 0
64.521 * [backup-simplify]: Simplify (+ 0 beta) into beta
64.521 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
64.521 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
64.522 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
64.522 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
64.522 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
64.522 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
64.522 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
64.522 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.522 * [taylor]: Taking taylor expansion of beta in beta
64.522 * [backup-simplify]: Simplify 0 into 0
64.522 * [backup-simplify]: Simplify 1 into 1
64.522 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
64.522 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
64.522 * [taylor]: Taking taylor expansion of alpha in beta
64.523 * [backup-simplify]: Simplify alpha into alpha
64.523 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.523 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.523 * [taylor]: Taking taylor expansion of 2.0 in beta
64.523 * [backup-simplify]: Simplify 2.0 into 2.0
64.523 * [taylor]: Taking taylor expansion of i in beta
64.523 * [backup-simplify]: Simplify i into i
64.523 * [taylor]: Taking taylor expansion of beta in beta
64.523 * [backup-simplify]: Simplify 0 into 0
64.523 * [backup-simplify]: Simplify 1 into 1
64.523 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
64.523 * [taylor]: Taking taylor expansion of alpha in beta
64.523 * [backup-simplify]: Simplify alpha into alpha
64.523 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
64.523 * [taylor]: Taking taylor expansion of 2.0 in beta
64.523 * [backup-simplify]: Simplify 2.0 into 2.0
64.523 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.523 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.523 * [taylor]: Taking taylor expansion of 2.0 in beta
64.523 * [backup-simplify]: Simplify 2.0 into 2.0
64.523 * [taylor]: Taking taylor expansion of i in beta
64.523 * [backup-simplify]: Simplify i into i
64.523 * [taylor]: Taking taylor expansion of beta in beta
64.523 * [backup-simplify]: Simplify 0 into 0
64.523 * [backup-simplify]: Simplify 1 into 1
64.524 * [backup-simplify]: Simplify (* 1 1) into 1
64.524 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.524 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.524 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
64.524 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.524 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.524 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
64.524 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
64.525 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
64.525 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
64.525 * [taylor]: Taking taylor expansion of 1.0 in beta
64.525 * [backup-simplify]: Simplify 1.0 into 1.0
64.525 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
64.525 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
64.525 * [taylor]: Taking taylor expansion of alpha in beta
64.525 * [backup-simplify]: Simplify alpha into alpha
64.525 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
64.525 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
64.525 * [taylor]: Taking taylor expansion of alpha in beta
64.525 * [backup-simplify]: Simplify alpha into alpha
64.525 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.525 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.525 * [taylor]: Taking taylor expansion of 2.0 in beta
64.525 * [backup-simplify]: Simplify 2.0 into 2.0
64.525 * [taylor]: Taking taylor expansion of i in beta
64.525 * [backup-simplify]: Simplify i into i
64.526 * [taylor]: Taking taylor expansion of beta in beta
64.526 * [backup-simplify]: Simplify 0 into 0
64.526 * [backup-simplify]: Simplify 1 into 1
64.526 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
64.526 * [taylor]: Taking taylor expansion of alpha in beta
64.526 * [backup-simplify]: Simplify alpha into alpha
64.526 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
64.526 * [taylor]: Taking taylor expansion of 2.0 in beta
64.526 * [backup-simplify]: Simplify 2.0 into 2.0
64.526 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.526 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.526 * [taylor]: Taking taylor expansion of 2.0 in beta
64.526 * [backup-simplify]: Simplify 2.0 into 2.0
64.526 * [taylor]: Taking taylor expansion of i in beta
64.526 * [backup-simplify]: Simplify i into i
64.526 * [taylor]: Taking taylor expansion of beta in beta
64.526 * [backup-simplify]: Simplify 0 into 0
64.526 * [backup-simplify]: Simplify 1 into 1
64.526 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
64.526 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.526 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.526 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
64.526 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.527 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.527 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
64.527 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
64.527 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
64.527 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
64.527 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
64.528 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
64.528 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
64.528 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
64.528 * [taylor]: Taking taylor expansion of beta in alpha
64.528 * [backup-simplify]: Simplify beta into beta
64.528 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
64.528 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
64.528 * [taylor]: Taking taylor expansion of alpha in alpha
64.528 * [backup-simplify]: Simplify 0 into 0
64.528 * [backup-simplify]: Simplify 1 into 1
64.528 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
64.528 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
64.528 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.528 * [backup-simplify]: Simplify 2.0 into 2.0
64.528 * [taylor]: Taking taylor expansion of i in alpha
64.528 * [backup-simplify]: Simplify i into i
64.528 * [taylor]: Taking taylor expansion of beta in alpha
64.528 * [backup-simplify]: Simplify beta into beta
64.528 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
64.528 * [taylor]: Taking taylor expansion of alpha in alpha
64.528 * [backup-simplify]: Simplify 0 into 0
64.528 * [backup-simplify]: Simplify 1 into 1
64.528 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
64.528 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.528 * [backup-simplify]: Simplify 2.0 into 2.0
64.528 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
64.528 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
64.528 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.528 * [backup-simplify]: Simplify 2.0 into 2.0
64.528 * [taylor]: Taking taylor expansion of i in alpha
64.528 * [backup-simplify]: Simplify i into i
64.528 * [taylor]: Taking taylor expansion of beta in alpha
64.529 * [backup-simplify]: Simplify beta into beta
64.529 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
64.529 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.529 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
64.529 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
64.529 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.529 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
64.529 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
64.529 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
64.530 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
64.530 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
64.530 * [taylor]: Taking taylor expansion of 1.0 in alpha
64.530 * [backup-simplify]: Simplify 1.0 into 1.0
64.530 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
64.530 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
64.530 * [taylor]: Taking taylor expansion of alpha in alpha
64.530 * [backup-simplify]: Simplify 0 into 0
64.530 * [backup-simplify]: Simplify 1 into 1
64.530 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
64.530 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
64.530 * [taylor]: Taking taylor expansion of alpha in alpha
64.530 * [backup-simplify]: Simplify 0 into 0
64.530 * [backup-simplify]: Simplify 1 into 1
64.530 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
64.530 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
64.531 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.531 * [backup-simplify]: Simplify 2.0 into 2.0
64.531 * [taylor]: Taking taylor expansion of i in alpha
64.531 * [backup-simplify]: Simplify i into i
64.531 * [taylor]: Taking taylor expansion of beta in alpha
64.531 * [backup-simplify]: Simplify beta into beta
64.531 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
64.531 * [taylor]: Taking taylor expansion of alpha in alpha
64.531 * [backup-simplify]: Simplify 0 into 0
64.531 * [backup-simplify]: Simplify 1 into 1
64.531 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
64.531 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.531 * [backup-simplify]: Simplify 2.0 into 2.0
64.531 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
64.531 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
64.531 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.531 * [backup-simplify]: Simplify 2.0 into 2.0
64.531 * [taylor]: Taking taylor expansion of i in alpha
64.531 * [backup-simplify]: Simplify i into i
64.531 * [taylor]: Taking taylor expansion of beta in alpha
64.531 * [backup-simplify]: Simplify beta into beta
64.532 * [backup-simplify]: Simplify (* 1 1) into 1
64.532 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.532 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
64.532 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
64.532 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.532 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
64.532 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
64.533 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
64.533 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
64.533 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
64.533 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
64.533 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
64.533 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
64.533 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
64.533 * [taylor]: Taking taylor expansion of beta in alpha
64.533 * [backup-simplify]: Simplify beta into beta
64.533 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
64.533 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
64.533 * [taylor]: Taking taylor expansion of alpha in alpha
64.533 * [backup-simplify]: Simplify 0 into 0
64.533 * [backup-simplify]: Simplify 1 into 1
64.533 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
64.534 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
64.534 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.534 * [backup-simplify]: Simplify 2.0 into 2.0
64.534 * [taylor]: Taking taylor expansion of i in alpha
64.534 * [backup-simplify]: Simplify i into i
64.534 * [taylor]: Taking taylor expansion of beta in alpha
64.534 * [backup-simplify]: Simplify beta into beta
64.534 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
64.534 * [taylor]: Taking taylor expansion of alpha in alpha
64.534 * [backup-simplify]: Simplify 0 into 0
64.534 * [backup-simplify]: Simplify 1 into 1
64.534 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
64.534 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.534 * [backup-simplify]: Simplify 2.0 into 2.0
64.534 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
64.534 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
64.534 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.534 * [backup-simplify]: Simplify 2.0 into 2.0
64.534 * [taylor]: Taking taylor expansion of i in alpha
64.534 * [backup-simplify]: Simplify i into i
64.534 * [taylor]: Taking taylor expansion of beta in alpha
64.534 * [backup-simplify]: Simplify beta into beta
64.534 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
64.534 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.534 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
64.535 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
64.535 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.535 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
64.535 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
64.535 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
64.535 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
64.536 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
64.536 * [taylor]: Taking taylor expansion of 1.0 in alpha
64.536 * [backup-simplify]: Simplify 1.0 into 1.0
64.536 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
64.536 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
64.536 * [taylor]: Taking taylor expansion of alpha in alpha
64.536 * [backup-simplify]: Simplify 0 into 0
64.536 * [backup-simplify]: Simplify 1 into 1
64.536 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
64.536 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
64.536 * [taylor]: Taking taylor expansion of alpha in alpha
64.536 * [backup-simplify]: Simplify 0 into 0
64.536 * [backup-simplify]: Simplify 1 into 1
64.536 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
64.536 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
64.536 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.536 * [backup-simplify]: Simplify 2.0 into 2.0
64.536 * [taylor]: Taking taylor expansion of i in alpha
64.536 * [backup-simplify]: Simplify i into i
64.536 * [taylor]: Taking taylor expansion of beta in alpha
64.536 * [backup-simplify]: Simplify beta into beta
64.536 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
64.536 * [taylor]: Taking taylor expansion of alpha in alpha
64.536 * [backup-simplify]: Simplify 0 into 0
64.537 * [backup-simplify]: Simplify 1 into 1
64.537 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
64.537 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.537 * [backup-simplify]: Simplify 2.0 into 2.0
64.537 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
64.537 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
64.537 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.537 * [backup-simplify]: Simplify 2.0 into 2.0
64.537 * [taylor]: Taking taylor expansion of i in alpha
64.537 * [backup-simplify]: Simplify i into i
64.537 * [taylor]: Taking taylor expansion of beta in alpha
64.537 * [backup-simplify]: Simplify beta into beta
64.537 * [backup-simplify]: Simplify (* 1 1) into 1
64.538 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.538 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
64.538 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
64.538 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.538 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
64.538 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
64.538 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
64.539 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
64.539 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
64.539 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
64.540 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
64.540 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
64.540 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
64.540 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.540 * [taylor]: Taking taylor expansion of beta in beta
64.540 * [backup-simplify]: Simplify 0 into 0
64.540 * [backup-simplify]: Simplify 1 into 1
64.540 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
64.540 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.540 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.540 * [taylor]: Taking taylor expansion of 2.0 in beta
64.540 * [backup-simplify]: Simplify 2.0 into 2.0
64.540 * [taylor]: Taking taylor expansion of i in beta
64.540 * [backup-simplify]: Simplify i into i
64.540 * [taylor]: Taking taylor expansion of beta in beta
64.540 * [backup-simplify]: Simplify 0 into 0
64.540 * [backup-simplify]: Simplify 1 into 1
64.540 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.540 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.540 * [taylor]: Taking taylor expansion of 2.0 in beta
64.541 * [backup-simplify]: Simplify 2.0 into 2.0
64.541 * [taylor]: Taking taylor expansion of i in beta
64.541 * [backup-simplify]: Simplify i into i
64.541 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.541 * [taylor]: Taking taylor expansion of beta in beta
64.541 * [backup-simplify]: Simplify 0 into 0
64.541 * [backup-simplify]: Simplify 1 into 1
64.541 * [taylor]: Taking taylor expansion of 2.0 in beta
64.541 * [backup-simplify]: Simplify 2.0 into 2.0
64.541 * [backup-simplify]: Simplify (* 1 1) into 1
64.541 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.542 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.542 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.542 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.542 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.542 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
64.543 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
64.543 * [taylor]: Taking taylor expansion of 1.0 in beta
64.543 * [backup-simplify]: Simplify 1.0 into 1.0
64.543 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
64.543 * [taylor]: Taking taylor expansion of 1.0 in i
64.543 * [backup-simplify]: Simplify 1.0 into 1.0
64.543 * [backup-simplify]: Simplify 1.0 into 1.0
64.543 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
64.544 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
64.544 * [backup-simplify]: Simplify (+ 0 0) into 0
64.545 * [backup-simplify]: Simplify (+ 0 0) into 0
64.545 * [backup-simplify]: Simplify (+ 1 0) into 1
64.546 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
64.546 * [backup-simplify]: Simplify (+ 0 0) into 0
64.546 * [backup-simplify]: Simplify (+ 1 0) into 1
64.547 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
64.548 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
64.552 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
64.556 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
64.556 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
64.556 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
64.556 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
64.556 * [taylor]: Taking taylor expansion of 4.0 in beta
64.556 * [backup-simplify]: Simplify 4.0 into 4.0
64.556 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
64.556 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
64.556 * [taylor]: Taking taylor expansion of i in beta
64.556 * [backup-simplify]: Simplify i into i
64.556 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.556 * [taylor]: Taking taylor expansion of beta in beta
64.556 * [backup-simplify]: Simplify 0 into 0
64.556 * [backup-simplify]: Simplify 1 into 1
64.556 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
64.556 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
64.556 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.556 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.556 * [taylor]: Taking taylor expansion of 2.0 in beta
64.556 * [backup-simplify]: Simplify 2.0 into 2.0
64.556 * [taylor]: Taking taylor expansion of i in beta
64.556 * [backup-simplify]: Simplify i into i
64.556 * [taylor]: Taking taylor expansion of beta in beta
64.557 * [backup-simplify]: Simplify 0 into 0
64.557 * [backup-simplify]: Simplify 1 into 1
64.557 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.557 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.557 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
64.557 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.557 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.557 * [taylor]: Taking taylor expansion of 2.0 in beta
64.557 * [backup-simplify]: Simplify 2.0 into 2.0
64.557 * [taylor]: Taking taylor expansion of i in beta
64.557 * [backup-simplify]: Simplify i into i
64.557 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.557 * [taylor]: Taking taylor expansion of beta in beta
64.557 * [backup-simplify]: Simplify 0 into 0
64.557 * [backup-simplify]: Simplify 1 into 1
64.557 * [taylor]: Taking taylor expansion of 2.0 in beta
64.557 * [backup-simplify]: Simplify 2.0 into 2.0
64.557 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.558 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.558 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.559 * [backup-simplify]: Simplify (* 1 1) into 1
64.559 * [backup-simplify]: Simplify (* i 1) into i
64.559 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
64.559 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
64.560 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
64.560 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
64.560 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
64.560 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
64.560 * [taylor]: Taking taylor expansion of 2 in beta
64.560 * [backup-simplify]: Simplify 2 into 2
64.560 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
64.560 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
64.560 * [taylor]: Taking taylor expansion of beta in beta
64.560 * [backup-simplify]: Simplify 0 into 0
64.560 * [backup-simplify]: Simplify 1 into 1
64.560 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
64.560 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
64.560 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.560 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.560 * [taylor]: Taking taylor expansion of 2.0 in beta
64.560 * [backup-simplify]: Simplify 2.0 into 2.0
64.560 * [taylor]: Taking taylor expansion of i in beta
64.561 * [backup-simplify]: Simplify i into i
64.561 * [taylor]: Taking taylor expansion of beta in beta
64.561 * [backup-simplify]: Simplify 0 into 0
64.561 * [backup-simplify]: Simplify 1 into 1
64.561 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.561 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.561 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
64.561 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.561 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.561 * [taylor]: Taking taylor expansion of 2.0 in beta
64.561 * [backup-simplify]: Simplify 2.0 into 2.0
64.561 * [taylor]: Taking taylor expansion of i in beta
64.561 * [backup-simplify]: Simplify i into i
64.561 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.561 * [taylor]: Taking taylor expansion of beta in beta
64.561 * [backup-simplify]: Simplify 0 into 0
64.561 * [backup-simplify]: Simplify 1 into 1
64.561 * [taylor]: Taking taylor expansion of 2.0 in beta
64.561 * [backup-simplify]: Simplify 2.0 into 2.0
64.561 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.562 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.562 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.562 * [backup-simplify]: Simplify (* 1 1) into 1
64.563 * [backup-simplify]: Simplify (* 1 1) into 1
64.563 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
64.563 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
64.563 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
64.564 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
64.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
64.564 * [taylor]: Taking taylor expansion of 2.0 in beta
64.564 * [backup-simplify]: Simplify 2.0 into 2.0
64.564 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
64.564 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.564 * [taylor]: Taking taylor expansion of beta in beta
64.564 * [backup-simplify]: Simplify 0 into 0
64.564 * [backup-simplify]: Simplify 1 into 1
64.564 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
64.564 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
64.564 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.564 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.564 * [taylor]: Taking taylor expansion of 2.0 in beta
64.564 * [backup-simplify]: Simplify 2.0 into 2.0
64.564 * [taylor]: Taking taylor expansion of i in beta
64.564 * [backup-simplify]: Simplify i into i
64.564 * [taylor]: Taking taylor expansion of beta in beta
64.564 * [backup-simplify]: Simplify 0 into 0
64.564 * [backup-simplify]: Simplify 1 into 1
64.564 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.564 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.564 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
64.564 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.564 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.564 * [taylor]: Taking taylor expansion of 2.0 in beta
64.564 * [backup-simplify]: Simplify 2.0 into 2.0
64.565 * [taylor]: Taking taylor expansion of i in beta
64.565 * [backup-simplify]: Simplify i into i
64.565 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.565 * [taylor]: Taking taylor expansion of beta in beta
64.565 * [backup-simplify]: Simplify 0 into 0
64.565 * [backup-simplify]: Simplify 1 into 1
64.565 * [taylor]: Taking taylor expansion of 2.0 in beta
64.565 * [backup-simplify]: Simplify 2.0 into 2.0
64.565 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.565 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.565 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.566 * [backup-simplify]: Simplify (* 1 1) into 1
64.566 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
64.566 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
64.566 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
64.567 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
64.567 * [backup-simplify]: Simplify (+ 0 0) into 0
64.567 * [taylor]: Taking taylor expansion of 0 in i
64.567 * [backup-simplify]: Simplify 0 into 0
64.567 * [backup-simplify]: Simplify 0 into 0
64.567 * [backup-simplify]: Simplify 0 into 0
64.568 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
64.569 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
64.569 * [backup-simplify]: Simplify (+ 0 0) into 0
64.569 * [backup-simplify]: Simplify (+ 0 0) into 0
64.570 * [backup-simplify]: Simplify (+ 0 0) into 0
64.571 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
64.571 * [backup-simplify]: Simplify (+ 0 0) into 0
64.571 * [backup-simplify]: Simplify (+ 0 0) into 0
64.572 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
64.579 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
64.589 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
64.589 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
64.599 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
64.599 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
64.599 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
64.599 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
64.599 * [taylor]: Taking taylor expansion of 16.0 in beta
64.600 * [backup-simplify]: Simplify 16.0 into 16.0
64.600 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
64.600 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
64.600 * [taylor]: Taking taylor expansion of (pow i 2) in beta
64.600 * [taylor]: Taking taylor expansion of i in beta
64.600 * [backup-simplify]: Simplify i into i
64.600 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.600 * [taylor]: Taking taylor expansion of beta in beta
64.600 * [backup-simplify]: Simplify 0 into 0
64.600 * [backup-simplify]: Simplify 1 into 1
64.600 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
64.600 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
64.600 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.600 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.600 * [taylor]: Taking taylor expansion of 2.0 in beta
64.600 * [backup-simplify]: Simplify 2.0 into 2.0
64.600 * [taylor]: Taking taylor expansion of i in beta
64.600 * [backup-simplify]: Simplify i into i
64.600 * [taylor]: Taking taylor expansion of beta in beta
64.600 * [backup-simplify]: Simplify 0 into 0
64.600 * [backup-simplify]: Simplify 1 into 1
64.600 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.600 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.600 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
64.600 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.600 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.600 * [taylor]: Taking taylor expansion of 2.0 in beta
64.600 * [backup-simplify]: Simplify 2.0 into 2.0
64.601 * [taylor]: Taking taylor expansion of i in beta
64.601 * [backup-simplify]: Simplify i into i
64.601 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.601 * [taylor]: Taking taylor expansion of beta in beta
64.601 * [backup-simplify]: Simplify 0 into 0
64.601 * [backup-simplify]: Simplify 1 into 1
64.601 * [taylor]: Taking taylor expansion of 2.0 in beta
64.601 * [backup-simplify]: Simplify 2.0 into 2.0
64.601 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.601 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.602 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.602 * [backup-simplify]: Simplify (* i i) into (pow i 2)
64.602 * [backup-simplify]: Simplify (* 1 1) into 1
64.602 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
64.602 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
64.603 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
64.603 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
64.603 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
64.603 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
64.604 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
64.604 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
64.604 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
64.604 * [taylor]: Taking taylor expansion of 4 in beta
64.604 * [backup-simplify]: Simplify 4 into 4
64.604 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
64.604 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
64.604 * [taylor]: Taking taylor expansion of beta in beta
64.604 * [backup-simplify]: Simplify 0 into 0
64.604 * [backup-simplify]: Simplify 1 into 1
64.604 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
64.604 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
64.604 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.604 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.604 * [taylor]: Taking taylor expansion of 2.0 in beta
64.604 * [backup-simplify]: Simplify 2.0 into 2.0
64.604 * [taylor]: Taking taylor expansion of i in beta
64.604 * [backup-simplify]: Simplify i into i
64.604 * [taylor]: Taking taylor expansion of beta in beta
64.604 * [backup-simplify]: Simplify 0 into 0
64.605 * [backup-simplify]: Simplify 1 into 1
64.605 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.605 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.605 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
64.605 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.605 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.605 * [taylor]: Taking taylor expansion of 2.0 in beta
64.605 * [backup-simplify]: Simplify 2.0 into 2.0
64.605 * [taylor]: Taking taylor expansion of i in beta
64.605 * [backup-simplify]: Simplify i into i
64.605 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.605 * [taylor]: Taking taylor expansion of beta in beta
64.605 * [backup-simplify]: Simplify 0 into 0
64.605 * [backup-simplify]: Simplify 1 into 1
64.605 * [taylor]: Taking taylor expansion of 2.0 in beta
64.605 * [backup-simplify]: Simplify 2.0 into 2.0
64.605 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.606 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.606 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.606 * [backup-simplify]: Simplify (* 1 1) into 1
64.607 * [backup-simplify]: Simplify (* 1 1) into 1
64.607 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
64.607 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
64.607 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
64.607 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
64.608 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
64.608 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
64.608 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
64.608 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
64.608 * [taylor]: Taking taylor expansion of 8.0 in beta
64.608 * [backup-simplify]: Simplify 8.0 into 8.0
64.608 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
64.608 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
64.608 * [taylor]: Taking taylor expansion of beta in beta
64.608 * [backup-simplify]: Simplify 0 into 0
64.608 * [backup-simplify]: Simplify 1 into 1
64.609 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
64.609 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
64.609 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.609 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.609 * [taylor]: Taking taylor expansion of 2.0 in beta
64.609 * [backup-simplify]: Simplify 2.0 into 2.0
64.609 * [taylor]: Taking taylor expansion of i in beta
64.609 * [backup-simplify]: Simplify i into i
64.609 * [taylor]: Taking taylor expansion of beta in beta
64.609 * [backup-simplify]: Simplify 0 into 0
64.609 * [backup-simplify]: Simplify 1 into 1
64.609 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.609 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.609 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
64.609 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.609 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.609 * [taylor]: Taking taylor expansion of 2.0 in beta
64.609 * [backup-simplify]: Simplify 2.0 into 2.0
64.609 * [taylor]: Taking taylor expansion of i in beta
64.609 * [backup-simplify]: Simplify i into i
64.609 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.609 * [taylor]: Taking taylor expansion of beta in beta
64.609 * [backup-simplify]: Simplify 0 into 0
64.609 * [backup-simplify]: Simplify 1 into 1
64.609 * [taylor]: Taking taylor expansion of 2.0 in beta
64.609 * [backup-simplify]: Simplify 2.0 into 2.0
64.609 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.610 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.610 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.610 * [backup-simplify]: Simplify (* 1 1) into 1
64.611 * [backup-simplify]: Simplify (* 1 1) into 1
64.611 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
64.611 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
64.611 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
64.612 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
64.612 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
64.612 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
64.612 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
64.612 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
64.612 * [taylor]: Taking taylor expansion of 16.0 in beta
64.612 * [backup-simplify]: Simplify 16.0 into 16.0
64.612 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
64.613 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
64.613 * [taylor]: Taking taylor expansion of i in beta
64.613 * [backup-simplify]: Simplify i into i
64.613 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
64.613 * [taylor]: Taking taylor expansion of beta in beta
64.613 * [backup-simplify]: Simplify 0 into 0
64.613 * [backup-simplify]: Simplify 1 into 1
64.613 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
64.613 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
64.613 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.613 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.613 * [taylor]: Taking taylor expansion of 2.0 in beta
64.613 * [backup-simplify]: Simplify 2.0 into 2.0
64.613 * [taylor]: Taking taylor expansion of i in beta
64.613 * [backup-simplify]: Simplify i into i
64.613 * [taylor]: Taking taylor expansion of beta in beta
64.613 * [backup-simplify]: Simplify 0 into 0
64.613 * [backup-simplify]: Simplify 1 into 1
64.613 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.613 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.613 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
64.613 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.613 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.613 * [taylor]: Taking taylor expansion of 2.0 in beta
64.613 * [backup-simplify]: Simplify 2.0 into 2.0
64.613 * [taylor]: Taking taylor expansion of i in beta
64.613 * [backup-simplify]: Simplify i into i
64.613 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.613 * [taylor]: Taking taylor expansion of beta in beta
64.613 * [backup-simplify]: Simplify 0 into 0
64.613 * [backup-simplify]: Simplify 1 into 1
64.613 * [taylor]: Taking taylor expansion of 2.0 in beta
64.614 * [backup-simplify]: Simplify 2.0 into 2.0
64.614 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.614 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.614 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.615 * [backup-simplify]: Simplify (* 1 1) into 1
64.615 * [backup-simplify]: Simplify (* 1 1) into 1
64.615 * [backup-simplify]: Simplify (* i 1) into i
64.615 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
64.616 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
64.616 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
64.616 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
64.616 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
64.617 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
64.617 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
64.617 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
64.617 * [taylor]: Taking taylor expansion of 16.0 in beta
64.617 * [backup-simplify]: Simplify 16.0 into 16.0
64.617 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
64.617 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
64.617 * [taylor]: Taking taylor expansion of i in beta
64.617 * [backup-simplify]: Simplify i into i
64.617 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.617 * [taylor]: Taking taylor expansion of beta in beta
64.617 * [backup-simplify]: Simplify 0 into 0
64.617 * [backup-simplify]: Simplify 1 into 1
64.617 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
64.617 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
64.617 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.617 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.617 * [taylor]: Taking taylor expansion of 2.0 in beta
64.617 * [backup-simplify]: Simplify 2.0 into 2.0
64.618 * [taylor]: Taking taylor expansion of i in beta
64.618 * [backup-simplify]: Simplify i into i
64.618 * [taylor]: Taking taylor expansion of beta in beta
64.618 * [backup-simplify]: Simplify 0 into 0
64.618 * [backup-simplify]: Simplify 1 into 1
64.618 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.618 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.618 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
64.618 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.618 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.618 * [taylor]: Taking taylor expansion of 2.0 in beta
64.618 * [backup-simplify]: Simplify 2.0 into 2.0
64.618 * [taylor]: Taking taylor expansion of i in beta
64.618 * [backup-simplify]: Simplify i into i
64.618 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.618 * [taylor]: Taking taylor expansion of beta in beta
64.618 * [backup-simplify]: Simplify 0 into 0
64.618 * [backup-simplify]: Simplify 1 into 1
64.618 * [taylor]: Taking taylor expansion of 2.0 in beta
64.619 * [backup-simplify]: Simplify 2.0 into 2.0
64.619 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.620 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.620 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.620 * [backup-simplify]: Simplify (* 1 1) into 1
64.620 * [backup-simplify]: Simplify (* i 1) into i
64.620 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
64.621 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
64.621 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
64.621 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
64.621 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
64.622 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
64.622 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
64.622 * [taylor]: Taking taylor expansion of 4.0 in beta
64.622 * [backup-simplify]: Simplify 4.0 into 4.0
64.622 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
64.622 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.622 * [taylor]: Taking taylor expansion of beta in beta
64.622 * [backup-simplify]: Simplify 0 into 0
64.622 * [backup-simplify]: Simplify 1 into 1
64.622 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
64.622 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
64.622 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.622 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.622 * [taylor]: Taking taylor expansion of 2.0 in beta
64.622 * [backup-simplify]: Simplify 2.0 into 2.0
64.622 * [taylor]: Taking taylor expansion of i in beta
64.622 * [backup-simplify]: Simplify i into i
64.622 * [taylor]: Taking taylor expansion of beta in beta
64.622 * [backup-simplify]: Simplify 0 into 0
64.622 * [backup-simplify]: Simplify 1 into 1
64.623 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.623 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.623 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
64.623 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.623 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.623 * [taylor]: Taking taylor expansion of 2.0 in beta
64.623 * [backup-simplify]: Simplify 2.0 into 2.0
64.623 * [taylor]: Taking taylor expansion of i in beta
64.623 * [backup-simplify]: Simplify i into i
64.623 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.623 * [taylor]: Taking taylor expansion of beta in beta
64.623 * [backup-simplify]: Simplify 0 into 0
64.623 * [backup-simplify]: Simplify 1 into 1
64.623 * [taylor]: Taking taylor expansion of 2.0 in beta
64.623 * [backup-simplify]: Simplify 2.0 into 2.0
64.623 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.624 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.624 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.624 * [backup-simplify]: Simplify (* 1 1) into 1
64.624 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
64.624 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
64.625 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
64.625 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
64.625 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
64.626 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
64.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
64.626 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
64.626 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
64.626 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.626 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.626 * [taylor]: Taking taylor expansion of 2.0 in beta
64.626 * [backup-simplify]: Simplify 2.0 into 2.0
64.626 * [taylor]: Taking taylor expansion of i in beta
64.626 * [backup-simplify]: Simplify i into i
64.626 * [taylor]: Taking taylor expansion of beta in beta
64.626 * [backup-simplify]: Simplify 0 into 0
64.626 * [backup-simplify]: Simplify 1 into 1
64.626 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.626 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.626 * [taylor]: Taking taylor expansion of 2.0 in beta
64.626 * [backup-simplify]: Simplify 2.0 into 2.0
64.626 * [taylor]: Taking taylor expansion of i in beta
64.626 * [backup-simplify]: Simplify i into i
64.626 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.626 * [taylor]: Taking taylor expansion of beta in beta
64.626 * [backup-simplify]: Simplify 0 into 0
64.626 * [backup-simplify]: Simplify 1 into 1
64.626 * [taylor]: Taking taylor expansion of 2.0 in beta
64.626 * [backup-simplify]: Simplify 2.0 into 2.0
64.626 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.626 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.627 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.627 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.627 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.627 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
64.628 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
64.628 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
64.628 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.628 * [taylor]: Taking taylor expansion of beta in beta
64.628 * [backup-simplify]: Simplify 0 into 0
64.628 * [backup-simplify]: Simplify 1 into 1
64.628 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
64.628 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
64.628 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
64.628 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.628 * [taylor]: Taking taylor expansion of 2.0 in beta
64.628 * [backup-simplify]: Simplify 2.0 into 2.0
64.628 * [taylor]: Taking taylor expansion of i in beta
64.628 * [backup-simplify]: Simplify i into i
64.628 * [taylor]: Taking taylor expansion of beta in beta
64.628 * [backup-simplify]: Simplify 0 into 0
64.628 * [backup-simplify]: Simplify 1 into 1
64.628 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.628 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
64.628 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
64.628 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
64.628 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
64.628 * [taylor]: Taking taylor expansion of 2.0 in beta
64.628 * [backup-simplify]: Simplify 2.0 into 2.0
64.628 * [taylor]: Taking taylor expansion of i in beta
64.628 * [backup-simplify]: Simplify i into i
64.628 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
64.628 * [taylor]: Taking taylor expansion of beta in beta
64.628 * [backup-simplify]: Simplify 0 into 0
64.629 * [backup-simplify]: Simplify 1 into 1
64.629 * [taylor]: Taking taylor expansion of 2.0 in beta
64.629 * [backup-simplify]: Simplify 2.0 into 2.0
64.629 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
64.629 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.629 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
64.630 * [backup-simplify]: Simplify (* 1 1) into 1
64.630 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
64.630 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
64.630 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
64.631 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
64.631 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
64.631 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
64.631 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
64.631 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
64.631 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
64.631 * [taylor]: Taking taylor expansion of 0.5 in i
64.631 * [backup-simplify]: Simplify 0.5 into 0.5
64.632 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
64.632 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
64.632 * [taylor]: Taking taylor expansion of i in i
64.632 * [backup-simplify]: Simplify 0 into 0
64.632 * [backup-simplify]: Simplify 1 into 1
64.632 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
64.632 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
64.632 * [taylor]: Taking taylor expansion of 2.0 in i
64.632 * [backup-simplify]: Simplify 2.0 into 2.0
64.632 * [taylor]: Taking taylor expansion of i in i
64.632 * [backup-simplify]: Simplify 0 into 0
64.632 * [backup-simplify]: Simplify 1 into 1
64.632 * [taylor]: Taking taylor expansion of 2.0 in i
64.632 * [backup-simplify]: Simplify 2.0 into 2.0
64.632 * [backup-simplify]: Simplify (* 2.0 0) into 0
64.633 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.633 * [backup-simplify]: Simplify (* 0 2.0) into 0
64.640 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
64.641 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
64.642 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
64.643 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
64.644 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
64.644 * [backup-simplify]: Simplify (+ 0 0) into 0
64.647 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
64.649 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
64.651 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
64.651 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
64.651 * [backup-simplify]: Simplify 0.25 into 0.25
64.652 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
64.652 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
64.652 * [taylor]: Taking taylor expansion of 0.5 in i
64.652 * [backup-simplify]: Simplify 0.5 into 0.5
64.652 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
64.652 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
64.652 * [taylor]: Taking taylor expansion of i in i
64.652 * [backup-simplify]: Simplify 0 into 0
64.652 * [backup-simplify]: Simplify 1 into 1
64.652 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
64.652 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
64.652 * [taylor]: Taking taylor expansion of 2.0 in i
64.652 * [backup-simplify]: Simplify 2.0 into 2.0
64.652 * [taylor]: Taking taylor expansion of i in i
64.652 * [backup-simplify]: Simplify 0 into 0
64.652 * [backup-simplify]: Simplify 1 into 1
64.652 * [taylor]: Taking taylor expansion of 2.0 in i
64.652 * [backup-simplify]: Simplify 2.0 into 2.0
64.653 * [backup-simplify]: Simplify (* 2.0 0) into 0
64.653 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.653 * [backup-simplify]: Simplify (* 0 2.0) into 0
64.655 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
64.655 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
64.657 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
64.657 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
64.658 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
64.659 * [backup-simplify]: Simplify (+ 0 0) into 0
64.662 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
64.664 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
64.666 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
64.666 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
64.667 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
64.670 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 alpha) (/ 1 beta)) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) (/ (/ (* (cbrt (- (/ 1 beta) (/ 1 alpha))) (cbrt (- (/ 1 beta) (/ 1 alpha)))) (* (cbrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (cbrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))))) (/ (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)) (/ (cbrt (- (/ 1 beta) (/ 1 alpha))) (cbrt (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))))))) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
64.670 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
64.670 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
64.670 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
64.670 * [taylor]: Taking taylor expansion of 1.0 in i
64.670 * [backup-simplify]: Simplify 1.0 into 1.0
64.670 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
64.670 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
64.671 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
64.671 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
64.671 * [taylor]: Taking taylor expansion of alpha in i
64.671 * [backup-simplify]: Simplify alpha into alpha
64.671 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.671 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
64.671 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
64.671 * [taylor]: Taking taylor expansion of 2.0 in i
64.671 * [backup-simplify]: Simplify 2.0 into 2.0
64.671 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.671 * [taylor]: Taking taylor expansion of i in i
64.671 * [backup-simplify]: Simplify 0 into 0
64.671 * [backup-simplify]: Simplify 1 into 1
64.671 * [backup-simplify]: Simplify (/ 1 1) into 1
64.672 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
64.672 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
64.672 * [taylor]: Taking taylor expansion of beta in i
64.672 * [backup-simplify]: Simplify beta into beta
64.672 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.672 * [taylor]: Taking taylor expansion of 2.0 in i
64.672 * [backup-simplify]: Simplify 2.0 into 2.0
64.672 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
64.672 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
64.672 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
64.672 * [taylor]: Taking taylor expansion of alpha in i
64.672 * [backup-simplify]: Simplify alpha into alpha
64.672 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.672 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
64.672 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
64.672 * [taylor]: Taking taylor expansion of 2.0 in i
64.672 * [backup-simplify]: Simplify 2.0 into 2.0
64.672 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.672 * [taylor]: Taking taylor expansion of i in i
64.672 * [backup-simplify]: Simplify 0 into 0
64.672 * [backup-simplify]: Simplify 1 into 1
64.673 * [backup-simplify]: Simplify (/ 1 1) into 1
64.673 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
64.673 * [taylor]: Taking taylor expansion of beta in i
64.673 * [backup-simplify]: Simplify beta into beta
64.673 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.673 * [taylor]: Taking taylor expansion of (pow beta 2) in i
64.673 * [taylor]: Taking taylor expansion of beta in i
64.673 * [backup-simplify]: Simplify beta into beta
64.673 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
64.674 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
64.674 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.675 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
64.675 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
64.676 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.676 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
64.676 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
64.676 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
64.677 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
64.677 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
64.677 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
64.677 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
64.677 * [taylor]: Taking taylor expansion of alpha in i
64.677 * [backup-simplify]: Simplify alpha into alpha
64.677 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
64.677 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
64.677 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
64.677 * [taylor]: Taking taylor expansion of alpha in i
64.677 * [backup-simplify]: Simplify alpha into alpha
64.677 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.677 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
64.677 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
64.677 * [taylor]: Taking taylor expansion of 2.0 in i
64.677 * [backup-simplify]: Simplify 2.0 into 2.0
64.677 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.677 * [taylor]: Taking taylor expansion of i in i
64.677 * [backup-simplify]: Simplify 0 into 0
64.677 * [backup-simplify]: Simplify 1 into 1
64.678 * [backup-simplify]: Simplify (/ 1 1) into 1
64.678 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
64.678 * [taylor]: Taking taylor expansion of beta in i
64.678 * [backup-simplify]: Simplify beta into beta
64.678 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.678 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
64.678 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
64.678 * [taylor]: Taking taylor expansion of alpha in i
64.678 * [backup-simplify]: Simplify alpha into alpha
64.678 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.678 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
64.678 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
64.678 * [taylor]: Taking taylor expansion of 2.0 in i
64.678 * [backup-simplify]: Simplify 2.0 into 2.0
64.678 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.678 * [taylor]: Taking taylor expansion of i in i
64.678 * [backup-simplify]: Simplify 0 into 0
64.678 * [backup-simplify]: Simplify 1 into 1
64.679 * [backup-simplify]: Simplify (/ 1 1) into 1
64.679 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
64.679 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
64.679 * [taylor]: Taking taylor expansion of beta in i
64.679 * [backup-simplify]: Simplify beta into beta
64.679 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.679 * [taylor]: Taking taylor expansion of 2.0 in i
64.679 * [backup-simplify]: Simplify 2.0 into 2.0
64.679 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
64.679 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
64.680 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
64.680 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.681 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
64.681 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
64.682 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.682 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
64.682 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
64.683 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
64.683 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
64.683 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
64.683 * [taylor]: Taking taylor expansion of 1.0 in beta
64.683 * [backup-simplify]: Simplify 1.0 into 1.0
64.683 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
64.683 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
64.683 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
64.683 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
64.683 * [taylor]: Taking taylor expansion of alpha in beta
64.683 * [backup-simplify]: Simplify alpha into alpha
64.683 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.683 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
64.683 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
64.683 * [taylor]: Taking taylor expansion of 2.0 in beta
64.683 * [backup-simplify]: Simplify 2.0 into 2.0
64.683 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.683 * [taylor]: Taking taylor expansion of i in beta
64.683 * [backup-simplify]: Simplify i into i
64.683 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.683 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
64.683 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.683 * [taylor]: Taking taylor expansion of beta in beta
64.683 * [backup-simplify]: Simplify 0 into 0
64.683 * [backup-simplify]: Simplify 1 into 1
64.684 * [backup-simplify]: Simplify (/ 1 1) into 1
64.684 * [taylor]: Taking taylor expansion of 2.0 in beta
64.684 * [backup-simplify]: Simplify 2.0 into 2.0
64.684 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
64.684 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
64.684 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
64.684 * [taylor]: Taking taylor expansion of alpha in beta
64.684 * [backup-simplify]: Simplify alpha into alpha
64.684 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.684 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
64.684 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
64.684 * [taylor]: Taking taylor expansion of 2.0 in beta
64.684 * [backup-simplify]: Simplify 2.0 into 2.0
64.684 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.684 * [taylor]: Taking taylor expansion of i in beta
64.684 * [backup-simplify]: Simplify i into i
64.684 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.684 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.684 * [taylor]: Taking taylor expansion of beta in beta
64.684 * [backup-simplify]: Simplify 0 into 0
64.684 * [backup-simplify]: Simplify 1 into 1
64.685 * [backup-simplify]: Simplify (/ 1 1) into 1
64.685 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.685 * [taylor]: Taking taylor expansion of beta in beta
64.685 * [backup-simplify]: Simplify 0 into 0
64.685 * [backup-simplify]: Simplify 1 into 1
64.685 * [backup-simplify]: Simplify (+ 1 0) into 1
64.686 * [backup-simplify]: Simplify (+ 0 1) into 1
64.686 * [backup-simplify]: Simplify (+ 0 1) into 1
64.687 * [backup-simplify]: Simplify (+ 0 1) into 1
64.687 * [backup-simplify]: Simplify (+ 0 1) into 1
64.687 * [backup-simplify]: Simplify (* 1 1) into 1
64.688 * [backup-simplify]: Simplify (* 1 1) into 1
64.688 * [backup-simplify]: Simplify (* 1 1) into 1
64.688 * [backup-simplify]: Simplify (/ 1 1) into 1
64.688 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
64.689 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
64.689 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
64.689 * [taylor]: Taking taylor expansion of alpha in beta
64.689 * [backup-simplify]: Simplify alpha into alpha
64.689 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
64.689 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
64.689 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
64.689 * [taylor]: Taking taylor expansion of alpha in beta
64.689 * [backup-simplify]: Simplify alpha into alpha
64.689 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.689 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
64.689 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
64.689 * [taylor]: Taking taylor expansion of 2.0 in beta
64.689 * [backup-simplify]: Simplify 2.0 into 2.0
64.689 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.689 * [taylor]: Taking taylor expansion of i in beta
64.689 * [backup-simplify]: Simplify i into i
64.689 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.689 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.689 * [taylor]: Taking taylor expansion of beta in beta
64.689 * [backup-simplify]: Simplify 0 into 0
64.689 * [backup-simplify]: Simplify 1 into 1
64.690 * [backup-simplify]: Simplify (/ 1 1) into 1
64.690 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
64.690 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
64.690 * [taylor]: Taking taylor expansion of alpha in beta
64.690 * [backup-simplify]: Simplify alpha into alpha
64.690 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.690 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
64.690 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
64.690 * [taylor]: Taking taylor expansion of 2.0 in beta
64.690 * [backup-simplify]: Simplify 2.0 into 2.0
64.690 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.690 * [taylor]: Taking taylor expansion of i in beta
64.690 * [backup-simplify]: Simplify i into i
64.690 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.690 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
64.690 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.690 * [taylor]: Taking taylor expansion of beta in beta
64.690 * [backup-simplify]: Simplify 0 into 0
64.690 * [backup-simplify]: Simplify 1 into 1
64.691 * [backup-simplify]: Simplify (/ 1 1) into 1
64.691 * [taylor]: Taking taylor expansion of 2.0 in beta
64.691 * [backup-simplify]: Simplify 2.0 into 2.0
64.691 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
64.691 * [backup-simplify]: Simplify (+ 0 1) into 1
64.692 * [backup-simplify]: Simplify (+ 0 1) into 1
64.692 * [backup-simplify]: Simplify (+ 1 0) into 1
64.692 * [backup-simplify]: Simplify (+ 0 1) into 1
64.693 * [backup-simplify]: Simplify (+ 0 1) into 1
64.693 * [backup-simplify]: Simplify (* 1 1) into 1
64.693 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
64.694 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
64.694 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
64.694 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
64.694 * [taylor]: Taking taylor expansion of 1.0 in alpha
64.694 * [backup-simplify]: Simplify 1.0 into 1.0
64.694 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
64.694 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
64.694 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
64.694 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.694 * [taylor]: Taking taylor expansion of alpha in alpha
64.694 * [backup-simplify]: Simplify 0 into 0
64.694 * [backup-simplify]: Simplify 1 into 1
64.694 * [backup-simplify]: Simplify (/ 1 1) into 1
64.694 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
64.694 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.694 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.694 * [backup-simplify]: Simplify 2.0 into 2.0
64.695 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.695 * [taylor]: Taking taylor expansion of i in alpha
64.695 * [backup-simplify]: Simplify i into i
64.695 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.695 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
64.695 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.695 * [taylor]: Taking taylor expansion of beta in alpha
64.695 * [backup-simplify]: Simplify beta into beta
64.695 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.695 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.695 * [backup-simplify]: Simplify 2.0 into 2.0
64.695 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
64.695 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.695 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.695 * [taylor]: Taking taylor expansion of alpha in alpha
64.695 * [backup-simplify]: Simplify 0 into 0
64.695 * [backup-simplify]: Simplify 1 into 1
64.695 * [backup-simplify]: Simplify (/ 1 1) into 1
64.696 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.696 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.696 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.696 * [backup-simplify]: Simplify 2.0 into 2.0
64.696 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.696 * [taylor]: Taking taylor expansion of i in alpha
64.696 * [backup-simplify]: Simplify i into i
64.696 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.696 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.696 * [taylor]: Taking taylor expansion of beta in alpha
64.696 * [backup-simplify]: Simplify beta into beta
64.696 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.696 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
64.696 * [taylor]: Taking taylor expansion of beta in alpha
64.696 * [backup-simplify]: Simplify beta into beta
64.696 * [backup-simplify]: Simplify (+ 1 0) into 1
64.697 * [backup-simplify]: Simplify (+ 1 0) into 1
64.697 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
64.697 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
64.697 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
64.697 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
64.697 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
64.698 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
64.698 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
64.698 * [taylor]: Taking taylor expansion of alpha in alpha
64.698 * [backup-simplify]: Simplify 0 into 0
64.698 * [backup-simplify]: Simplify 1 into 1
64.698 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
64.698 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.698 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.698 * [taylor]: Taking taylor expansion of alpha in alpha
64.698 * [backup-simplify]: Simplify 0 into 0
64.698 * [backup-simplify]: Simplify 1 into 1
64.698 * [backup-simplify]: Simplify (/ 1 1) into 1
64.698 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.698 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.698 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.698 * [backup-simplify]: Simplify 2.0 into 2.0
64.698 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.699 * [taylor]: Taking taylor expansion of i in alpha
64.699 * [backup-simplify]: Simplify i into i
64.699 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.699 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.699 * [taylor]: Taking taylor expansion of beta in alpha
64.699 * [backup-simplify]: Simplify beta into beta
64.699 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.699 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
64.699 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.699 * [taylor]: Taking taylor expansion of alpha in alpha
64.699 * [backup-simplify]: Simplify 0 into 0
64.699 * [backup-simplify]: Simplify 1 into 1
64.699 * [backup-simplify]: Simplify (/ 1 1) into 1
64.699 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
64.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.699 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.699 * [backup-simplify]: Simplify 2.0 into 2.0
64.700 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.700 * [taylor]: Taking taylor expansion of i in alpha
64.700 * [backup-simplify]: Simplify i into i
64.700 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.700 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
64.700 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.700 * [taylor]: Taking taylor expansion of beta in alpha
64.700 * [backup-simplify]: Simplify beta into beta
64.700 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.700 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.700 * [backup-simplify]: Simplify 2.0 into 2.0
64.700 * [backup-simplify]: Simplify (* 1 1) into 1
64.701 * [backup-simplify]: Simplify (+ 1 0) into 1
64.701 * [backup-simplify]: Simplify (+ 1 0) into 1
64.701 * [backup-simplify]: Simplify (* 1 1) into 1
64.702 * [backup-simplify]: Simplify (* 1 1) into 1
64.702 * [backup-simplify]: Simplify (/ 1 1) into 1
64.702 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
64.702 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
64.702 * [taylor]: Taking taylor expansion of 1.0 in alpha
64.702 * [backup-simplify]: Simplify 1.0 into 1.0
64.702 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
64.702 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
64.702 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
64.703 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.703 * [taylor]: Taking taylor expansion of alpha in alpha
64.703 * [backup-simplify]: Simplify 0 into 0
64.703 * [backup-simplify]: Simplify 1 into 1
64.703 * [backup-simplify]: Simplify (/ 1 1) into 1
64.703 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
64.703 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.703 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.703 * [backup-simplify]: Simplify 2.0 into 2.0
64.703 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.703 * [taylor]: Taking taylor expansion of i in alpha
64.703 * [backup-simplify]: Simplify i into i
64.703 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.703 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
64.703 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.703 * [taylor]: Taking taylor expansion of beta in alpha
64.703 * [backup-simplify]: Simplify beta into beta
64.703 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.704 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.704 * [backup-simplify]: Simplify 2.0 into 2.0
64.704 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
64.704 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.704 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.704 * [taylor]: Taking taylor expansion of alpha in alpha
64.704 * [backup-simplify]: Simplify 0 into 0
64.704 * [backup-simplify]: Simplify 1 into 1
64.704 * [backup-simplify]: Simplify (/ 1 1) into 1
64.704 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.704 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.704 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.704 * [backup-simplify]: Simplify 2.0 into 2.0
64.704 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.704 * [taylor]: Taking taylor expansion of i in alpha
64.704 * [backup-simplify]: Simplify i into i
64.704 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.704 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.704 * [taylor]: Taking taylor expansion of beta in alpha
64.705 * [backup-simplify]: Simplify beta into beta
64.705 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.705 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
64.705 * [taylor]: Taking taylor expansion of beta in alpha
64.705 * [backup-simplify]: Simplify beta into beta
64.705 * [backup-simplify]: Simplify (+ 1 0) into 1
64.706 * [backup-simplify]: Simplify (+ 1 0) into 1
64.706 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
64.706 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
64.706 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
64.706 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
64.706 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
64.706 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
64.706 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
64.706 * [taylor]: Taking taylor expansion of alpha in alpha
64.706 * [backup-simplify]: Simplify 0 into 0
64.706 * [backup-simplify]: Simplify 1 into 1
64.706 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
64.706 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.706 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.707 * [taylor]: Taking taylor expansion of alpha in alpha
64.707 * [backup-simplify]: Simplify 0 into 0
64.707 * [backup-simplify]: Simplify 1 into 1
64.707 * [backup-simplify]: Simplify (/ 1 1) into 1
64.707 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.707 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.707 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.707 * [backup-simplify]: Simplify 2.0 into 2.0
64.707 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.707 * [taylor]: Taking taylor expansion of i in alpha
64.707 * [backup-simplify]: Simplify i into i
64.707 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.707 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.707 * [taylor]: Taking taylor expansion of beta in alpha
64.707 * [backup-simplify]: Simplify beta into beta
64.707 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.707 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
64.707 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.707 * [taylor]: Taking taylor expansion of alpha in alpha
64.708 * [backup-simplify]: Simplify 0 into 0
64.708 * [backup-simplify]: Simplify 1 into 1
64.708 * [backup-simplify]: Simplify (/ 1 1) into 1
64.708 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
64.708 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.708 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.708 * [backup-simplify]: Simplify 2.0 into 2.0
64.708 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.708 * [taylor]: Taking taylor expansion of i in alpha
64.708 * [backup-simplify]: Simplify i into i
64.708 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.708 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
64.708 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.708 * [taylor]: Taking taylor expansion of beta in alpha
64.708 * [backup-simplify]: Simplify beta into beta
64.708 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.708 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.708 * [backup-simplify]: Simplify 2.0 into 2.0
64.709 * [backup-simplify]: Simplify (* 1 1) into 1
64.709 * [backup-simplify]: Simplify (+ 1 0) into 1
64.710 * [backup-simplify]: Simplify (+ 1 0) into 1
64.710 * [backup-simplify]: Simplify (* 1 1) into 1
64.710 * [backup-simplify]: Simplify (* 1 1) into 1
64.711 * [backup-simplify]: Simplify (/ 1 1) into 1
64.711 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
64.712 * [backup-simplify]: Simplify (- 1) into -1
64.712 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
64.712 * [taylor]: Taking taylor expansion of 0 in beta
64.712 * [backup-simplify]: Simplify 0 into 0
64.712 * [taylor]: Taking taylor expansion of 0 in i
64.712 * [backup-simplify]: Simplify 0 into 0
64.712 * [backup-simplify]: Simplify 0 into 0
64.713 * [backup-simplify]: Simplify (+ 0 0) into 0
64.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.714 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
64.714 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
64.714 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
64.714 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
64.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.715 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
64.715 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
64.716 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
64.716 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
64.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
64.718 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
64.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
64.718 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
64.719 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
64.719 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
64.719 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
64.719 * [taylor]: Taking taylor expansion of 4.0 in beta
64.719 * [backup-simplify]: Simplify 4.0 into 4.0
64.719 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.719 * [taylor]: Taking taylor expansion of i in beta
64.719 * [backup-simplify]: Simplify i into i
64.719 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.719 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
64.719 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
64.719 * [taylor]: Taking taylor expansion of 2 in beta
64.719 * [backup-simplify]: Simplify 2 into 2
64.719 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.719 * [taylor]: Taking taylor expansion of beta in beta
64.719 * [backup-simplify]: Simplify 0 into 0
64.719 * [backup-simplify]: Simplify 1 into 1
64.720 * [backup-simplify]: Simplify (/ 1 1) into 1
64.720 * [taylor]: Taking taylor expansion of 2.0 in beta
64.720 * [backup-simplify]: Simplify 2.0 into 2.0
64.720 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
64.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.721 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
64.722 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.722 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
64.722 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
64.722 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
64.722 * [taylor]: Taking taylor expansion of 4.0 in i
64.722 * [backup-simplify]: Simplify 4.0 into 4.0
64.722 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.722 * [taylor]: Taking taylor expansion of i in i
64.722 * [backup-simplify]: Simplify 0 into 0
64.722 * [backup-simplify]: Simplify 1 into 1
64.723 * [backup-simplify]: Simplify (/ 1 1) into 1
64.723 * [taylor]: Taking taylor expansion of 2.0 in i
64.723 * [backup-simplify]: Simplify 2.0 into 2.0
64.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.724 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
64.725 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.725 * [backup-simplify]: Simplify 2.0 into 2.0
64.725 * [taylor]: Taking taylor expansion of 0 in i
64.725 * [backup-simplify]: Simplify 0 into 0
64.725 * [backup-simplify]: Simplify 0 into 0
64.725 * [backup-simplify]: Simplify 0 into 0
64.725 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
64.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
64.727 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
64.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
64.728 * [backup-simplify]: Simplify (+ 0 0) into 0
64.728 * [backup-simplify]: Simplify (+ 0 0) into 0
64.729 * [backup-simplify]: Simplify (+ 0 0) into 0
64.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
64.730 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
64.731 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
64.731 * [backup-simplify]: Simplify (+ 0 0) into 0
64.731 * [backup-simplify]: Simplify (+ 0 0) into 0
64.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
64.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
64.736 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
64.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
64.740 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
64.741 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
64.741 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
64.741 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
64.741 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
64.741 * [taylor]: Taking taylor expansion of 2 in beta
64.741 * [backup-simplify]: Simplify 2 into 2
64.741 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
64.741 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.741 * [taylor]: Taking taylor expansion of beta in beta
64.741 * [backup-simplify]: Simplify 0 into 0
64.741 * [backup-simplify]: Simplify 1 into 1
64.742 * [backup-simplify]: Simplify (* 1 1) into 1
64.742 * [backup-simplify]: Simplify (/ 1 1) into 1
64.742 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
64.742 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
64.743 * [taylor]: Taking taylor expansion of 12.0 in beta
64.743 * [backup-simplify]: Simplify 12.0 into 12.0
64.743 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
64.743 * [taylor]: Taking taylor expansion of (pow i 2) in beta
64.743 * [taylor]: Taking taylor expansion of i in beta
64.743 * [backup-simplify]: Simplify i into i
64.743 * [backup-simplify]: Simplify (* i i) into (pow i 2)
64.743 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
64.743 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
64.743 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
64.743 * [taylor]: Taking taylor expansion of 6.0 in beta
64.743 * [backup-simplify]: Simplify 6.0 into 6.0
64.743 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.743 * [taylor]: Taking taylor expansion of beta in beta
64.743 * [backup-simplify]: Simplify 0 into 0
64.743 * [backup-simplify]: Simplify 1 into 1
64.744 * [backup-simplify]: Simplify (/ 1 1) into 1
64.744 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
64.744 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
64.744 * [taylor]: Taking taylor expansion of 12.0 in beta
64.744 * [backup-simplify]: Simplify 12.0 into 12.0
64.744 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.744 * [taylor]: Taking taylor expansion of i in beta
64.744 * [backup-simplify]: Simplify i into i
64.744 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.744 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
64.744 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
64.744 * [taylor]: Taking taylor expansion of 12.0 in beta
64.744 * [backup-simplify]: Simplify 12.0 into 12.0
64.744 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
64.744 * [taylor]: Taking taylor expansion of (* i beta) in beta
64.744 * [taylor]: Taking taylor expansion of i in beta
64.744 * [backup-simplify]: Simplify i into i
64.744 * [taylor]: Taking taylor expansion of beta in beta
64.744 * [backup-simplify]: Simplify 0 into 0
64.744 * [backup-simplify]: Simplify 1 into 1
64.744 * [backup-simplify]: Simplify (* i 0) into 0
64.745 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
64.745 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.745 * [taylor]: Taking taylor expansion of 4.0 in beta
64.745 * [backup-simplify]: Simplify 4.0 into 4.0
64.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
64.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
64.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.749 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
64.749 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
64.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.751 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
64.751 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
64.752 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
64.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
64.753 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
64.753 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
64.753 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
64.753 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
64.754 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
64.754 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
64.754 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
64.755 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
64.755 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
64.755 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
64.755 * [taylor]: Taking taylor expansion of 12.0 in i
64.755 * [backup-simplify]: Simplify 12.0 into 12.0
64.755 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
64.755 * [taylor]: Taking taylor expansion of (pow i 2) in i
64.755 * [taylor]: Taking taylor expansion of i in i
64.755 * [backup-simplify]: Simplify 0 into 0
64.755 * [backup-simplify]: Simplify 1 into 1
64.755 * [backup-simplify]: Simplify (* 1 1) into 1
64.756 * [backup-simplify]: Simplify (/ 1 1) into 1
64.756 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
64.756 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
64.756 * [taylor]: Taking taylor expansion of 12.0 in i
64.756 * [backup-simplify]: Simplify 12.0 into 12.0
64.756 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.756 * [taylor]: Taking taylor expansion of i in i
64.756 * [backup-simplify]: Simplify 0 into 0
64.756 * [backup-simplify]: Simplify 1 into 1
64.756 * [backup-simplify]: Simplify (/ 1 1) into 1
64.756 * [taylor]: Taking taylor expansion of 4.0 in i
64.756 * [backup-simplify]: Simplify 4.0 into 4.0
64.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
64.758 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
64.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.759 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.760 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
64.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.762 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
64.762 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
64.763 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
64.763 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
64.763 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
64.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
64.764 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
64.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.766 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
64.766 * [backup-simplify]: Simplify (+ 0 0) into 0
64.767 * [backup-simplify]: Simplify (+ 0 0) into 0
64.767 * [taylor]: Taking taylor expansion of 0 in i
64.767 * [backup-simplify]: Simplify 0 into 0
64.767 * [backup-simplify]: Simplify 0 into 0
64.767 * [taylor]: Taking taylor expansion of 0 in i
64.767 * [backup-simplify]: Simplify 0 into 0
64.767 * [backup-simplify]: Simplify 0 into 0
64.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.769 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
64.769 * [backup-simplify]: Simplify (+ 0 0) into 0
64.769 * [backup-simplify]: Simplify 0 into 0
64.769 * [backup-simplify]: Simplify 0 into 0
64.769 * [backup-simplify]: Simplify 0 into 0
64.769 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
64.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.770 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
64.770 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
64.771 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
64.772 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
64.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.772 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
64.772 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
64.773 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
64.773 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
64.774 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
64.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
64.776 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
64.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
64.778 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
64.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
64.778 * [backup-simplify]: Simplify (+ 0 0) into 0
64.779 * [backup-simplify]: Simplify (+ 0 0) into 0
64.779 * [backup-simplify]: Simplify (+ 0 0) into 0
64.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
64.781 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
64.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
64.782 * [backup-simplify]: Simplify (+ 0 0) into 0
64.782 * [backup-simplify]: Simplify (+ 0 0) into 0
64.783 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
64.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
64.786 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
64.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
64.795 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
64.799 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
64.799 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
64.799 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
64.799 * [taylor]: Taking taylor expansion of 20.0 in beta
64.799 * [backup-simplify]: Simplify 20.0 into 20.0
64.799 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
64.799 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
64.799 * [taylor]: Taking taylor expansion of i in beta
64.799 * [backup-simplify]: Simplify i into i
64.799 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.799 * [taylor]: Taking taylor expansion of beta in beta
64.800 * [backup-simplify]: Simplify 0 into 0
64.800 * [backup-simplify]: Simplify 1 into 1
64.806 * [backup-simplify]: Simplify (* 1 1) into 1
64.806 * [backup-simplify]: Simplify (* i 1) into i
64.807 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.807 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
64.807 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
64.807 * [taylor]: Taking taylor expansion of 48.0 in beta
64.807 * [backup-simplify]: Simplify 48.0 into 48.0
64.807 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
64.807 * [taylor]: Taking taylor expansion of (pow i 2) in beta
64.807 * [taylor]: Taking taylor expansion of i in beta
64.807 * [backup-simplify]: Simplify i into i
64.807 * [backup-simplify]: Simplify (* i i) into (pow i 2)
64.807 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
64.807 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
64.807 * [taylor]: Taking taylor expansion of 8.0 in beta
64.807 * [backup-simplify]: Simplify 8.0 into 8.0
64.807 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
64.807 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
64.807 * [taylor]: Taking taylor expansion of 10.0 in beta
64.808 * [backup-simplify]: Simplify 10.0 into 10.0
64.808 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
64.808 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.808 * [taylor]: Taking taylor expansion of beta in beta
64.808 * [backup-simplify]: Simplify 0 into 0
64.808 * [backup-simplify]: Simplify 1 into 1
64.808 * [backup-simplify]: Simplify (* 1 1) into 1
64.809 * [backup-simplify]: Simplify (/ 1 1) into 1
64.809 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
64.809 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
64.809 * [taylor]: Taking taylor expansion of 48.0 in beta
64.809 * [backup-simplify]: Simplify 48.0 into 48.0
64.809 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
64.809 * [taylor]: Taking taylor expansion of (* i beta) in beta
64.809 * [taylor]: Taking taylor expansion of i in beta
64.809 * [backup-simplify]: Simplify i into i
64.809 * [taylor]: Taking taylor expansion of beta in beta
64.809 * [backup-simplify]: Simplify 0 into 0
64.809 * [backup-simplify]: Simplify 1 into 1
64.809 * [backup-simplify]: Simplify (* i 0) into 0
64.810 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
64.810 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.810 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
64.810 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
64.810 * [taylor]: Taking taylor expansion of 2 in beta
64.810 * [backup-simplify]: Simplify 2 into 2
64.810 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
64.810 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
64.810 * [taylor]: Taking taylor expansion of beta in beta
64.810 * [backup-simplify]: Simplify 0 into 0
64.810 * [backup-simplify]: Simplify 1 into 1
64.811 * [backup-simplify]: Simplify (* 1 1) into 1
64.811 * [backup-simplify]: Simplify (* 1 1) into 1
64.811 * [backup-simplify]: Simplify (/ 1 1) into 1
64.811 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
64.811 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
64.811 * [taylor]: Taking taylor expansion of 48.0 in beta
64.811 * [backup-simplify]: Simplify 48.0 into 48.0
64.811 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
64.812 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
64.812 * [taylor]: Taking taylor expansion of (pow i 2) in beta
64.812 * [taylor]: Taking taylor expansion of i in beta
64.812 * [backup-simplify]: Simplify i into i
64.812 * [taylor]: Taking taylor expansion of beta in beta
64.812 * [backup-simplify]: Simplify 0 into 0
64.812 * [backup-simplify]: Simplify 1 into 1
64.812 * [backup-simplify]: Simplify (* i i) into (pow i 2)
64.812 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
64.812 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
64.813 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
64.813 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
64.813 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
64.813 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
64.813 * [taylor]: Taking taylor expansion of 32.0 in beta
64.813 * [backup-simplify]: Simplify 32.0 into 32.0
64.813 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.813 * [taylor]: Taking taylor expansion of i in beta
64.813 * [backup-simplify]: Simplify i into i
64.813 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.813 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
64.813 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
64.813 * [taylor]: Taking taylor expansion of 16.0 in beta
64.813 * [backup-simplify]: Simplify 16.0 into 16.0
64.813 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.813 * [taylor]: Taking taylor expansion of beta in beta
64.813 * [backup-simplify]: Simplify 0 into 0
64.813 * [backup-simplify]: Simplify 1 into 1
64.814 * [backup-simplify]: Simplify (/ 1 1) into 1
64.814 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
64.814 * [taylor]: Taking taylor expansion of 32.0 in beta
64.814 * [backup-simplify]: Simplify 32.0 into 32.0
64.814 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
64.814 * [taylor]: Taking taylor expansion of (pow i 3) in beta
64.814 * [taylor]: Taking taylor expansion of i in beta
64.814 * [backup-simplify]: Simplify i into i
64.814 * [backup-simplify]: Simplify (* i i) into (pow i 2)
64.814 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
64.815 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
64.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
64.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
64.817 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
64.817 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
64.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
64.818 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
64.819 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
64.819 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
64.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
64.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
64.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.823 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
64.824 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
64.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
64.825 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
64.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
64.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
64.828 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
64.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
64.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
64.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
64.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.834 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
64.834 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
64.835 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
64.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
64.836 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
64.836 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
64.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.838 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
64.838 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
64.838 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
64.839 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
64.839 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
64.840 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
64.840 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
64.840 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
64.841 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
64.841 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
64.842 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
64.842 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
64.842 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
64.842 * [taylor]: Taking taylor expansion of 48.0 in i
64.842 * [backup-simplify]: Simplify 48.0 into 48.0
64.842 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
64.842 * [taylor]: Taking taylor expansion of (pow i 2) in i
64.842 * [taylor]: Taking taylor expansion of i in i
64.842 * [backup-simplify]: Simplify 0 into 0
64.842 * [backup-simplify]: Simplify 1 into 1
64.843 * [backup-simplify]: Simplify (* 1 1) into 1
64.843 * [backup-simplify]: Simplify (/ 1 1) into 1
64.843 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
64.843 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
64.843 * [taylor]: Taking taylor expansion of 32.0 in i
64.843 * [backup-simplify]: Simplify 32.0 into 32.0
64.843 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
64.843 * [taylor]: Taking taylor expansion of (pow i 3) in i
64.844 * [taylor]: Taking taylor expansion of i in i
64.844 * [backup-simplify]: Simplify 0 into 0
64.844 * [backup-simplify]: Simplify 1 into 1
64.844 * [backup-simplify]: Simplify (* 1 1) into 1
64.844 * [backup-simplify]: Simplify (* 1 1) into 1
64.845 * [backup-simplify]: Simplify (/ 1 1) into 1
64.845 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
64.845 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
64.845 * [taylor]: Taking taylor expansion of 32.0 in i
64.845 * [backup-simplify]: Simplify 32.0 into 32.0
64.845 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.845 * [taylor]: Taking taylor expansion of i in i
64.845 * [backup-simplify]: Simplify 0 into 0
64.845 * [backup-simplify]: Simplify 1 into 1
64.845 * [backup-simplify]: Simplify (/ 1 1) into 1
64.845 * [taylor]: Taking taylor expansion of 8.0 in i
64.845 * [backup-simplify]: Simplify 8.0 into 8.0
64.846 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
64.847 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
64.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.850 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
64.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
64.852 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
64.853 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
64.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
64.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
64.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
64.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
64.862 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
64.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.863 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
64.864 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
64.864 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
64.865 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
64.865 * [backup-simplify]: Simplify 8.0 into 8.0
64.866 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
64.871 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) (/ (/ (* (cbrt (- (/ 1 (- beta)) (/ 1 (- alpha)))) (cbrt (- (/ 1 (- beta)) (/ 1 (- alpha))))) (* (cbrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (cbrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))))) (/ (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)) (/ (cbrt (- (/ 1 (- beta)) (/ 1 (- alpha)))) (cbrt (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))))))) 1.0) into (- (+ 1.0 (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) (/ 1 (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))))))
64.871 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) (/ 1 (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) in (alpha beta i) around 0
64.871 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) (/ 1 (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) in i
64.871 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) in i
64.871 * [taylor]: Taking taylor expansion of 1.0 in i
64.872 * [backup-simplify]: Simplify 1.0 into 1.0
64.872 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))))) in i
64.872 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
64.872 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in i
64.872 * [taylor]: Taking taylor expansion of (cbrt -1) in i
64.872 * [taylor]: Taking taylor expansion of -1 in i
64.872 * [backup-simplify]: Simplify -1 into -1
64.875 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
64.876 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
64.877 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
64.877 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
64.877 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
64.877 * [taylor]: Taking taylor expansion of alpha in i
64.877 * [backup-simplify]: Simplify alpha into alpha
64.877 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.877 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
64.877 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
64.877 * [taylor]: Taking taylor expansion of 2.0 in i
64.877 * [backup-simplify]: Simplify 2.0 into 2.0
64.877 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.877 * [taylor]: Taking taylor expansion of i in i
64.877 * [backup-simplify]: Simplify 0 into 0
64.877 * [backup-simplify]: Simplify 1 into 1
64.878 * [backup-simplify]: Simplify (/ 1 1) into 1
64.878 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
64.878 * [taylor]: Taking taylor expansion of beta in i
64.878 * [backup-simplify]: Simplify beta into beta
64.878 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.878 * [taylor]: Taking taylor expansion of (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
64.878 * [taylor]: Taking taylor expansion of (pow beta 2) in i
64.878 * [taylor]: Taking taylor expansion of beta in i
64.878 * [backup-simplify]: Simplify beta into beta
64.878 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
64.878 * [taylor]: Taking taylor expansion of 2.0 in i
64.878 * [backup-simplify]: Simplify 2.0 into 2.0
64.878 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
64.878 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
64.878 * [taylor]: Taking taylor expansion of alpha in i
64.878 * [backup-simplify]: Simplify alpha into alpha
64.878 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.878 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
64.878 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
64.878 * [taylor]: Taking taylor expansion of 2.0 in i
64.878 * [backup-simplify]: Simplify 2.0 into 2.0
64.878 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.878 * [taylor]: Taking taylor expansion of i in i
64.879 * [backup-simplify]: Simplify 0 into 0
64.879 * [backup-simplify]: Simplify 1 into 1
64.879 * [backup-simplify]: Simplify (/ 1 1) into 1
64.879 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
64.879 * [taylor]: Taking taylor expansion of beta in i
64.879 * [backup-simplify]: Simplify beta into beta
64.879 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.882 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
64.884 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3)
64.885 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
64.885 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
64.886 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.886 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
64.886 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
64.887 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
64.887 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.888 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
64.889 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
64.889 * [backup-simplify]: Simplify (* (pow beta 2) (- 2.0)) into (* -2.0 (pow beta 2))
64.889 * [backup-simplify]: Simplify (* 2.0 (* -2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
64.891 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) (* -4.0 (pow beta 2))) into (* 4.0 (pow beta 2))
64.891 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
64.891 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))))) in i
64.891 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
64.891 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
64.891 * [taylor]: Taking taylor expansion of alpha in i
64.891 * [backup-simplify]: Simplify alpha into alpha
64.891 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
64.891 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in i
64.891 * [taylor]: Taking taylor expansion of (cbrt -1) in i
64.891 * [taylor]: Taking taylor expansion of -1 in i
64.891 * [backup-simplify]: Simplify -1 into -1
64.892 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
64.892 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
64.893 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
64.893 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
64.893 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
64.893 * [taylor]: Taking taylor expansion of alpha in i
64.893 * [backup-simplify]: Simplify alpha into alpha
64.893 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.893 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
64.893 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
64.893 * [taylor]: Taking taylor expansion of 2.0 in i
64.893 * [backup-simplify]: Simplify 2.0 into 2.0
64.893 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.893 * [taylor]: Taking taylor expansion of i in i
64.893 * [backup-simplify]: Simplify 0 into 0
64.893 * [backup-simplify]: Simplify 1 into 1
64.893 * [backup-simplify]: Simplify (/ 1 1) into 1
64.893 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
64.893 * [taylor]: Taking taylor expansion of beta in i
64.893 * [backup-simplify]: Simplify beta into beta
64.894 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.894 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
64.894 * [taylor]: Taking taylor expansion of 2.0 in i
64.894 * [backup-simplify]: Simplify 2.0 into 2.0
64.894 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
64.894 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
64.894 * [taylor]: Taking taylor expansion of alpha in i
64.894 * [backup-simplify]: Simplify alpha into alpha
64.894 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.894 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
64.894 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
64.894 * [taylor]: Taking taylor expansion of 2.0 in i
64.894 * [backup-simplify]: Simplify 2.0 into 2.0
64.894 * [taylor]: Taking taylor expansion of (/ 1 i) in i
64.894 * [taylor]: Taking taylor expansion of i in i
64.894 * [backup-simplify]: Simplify 0 into 0
64.894 * [backup-simplify]: Simplify 1 into 1
64.894 * [backup-simplify]: Simplify (/ 1 1) into 1
64.894 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
64.895 * [taylor]: Taking taylor expansion of beta in i
64.895 * [backup-simplify]: Simplify beta into beta
64.895 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.895 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
64.896 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
64.898 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3)
64.899 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
64.899 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
64.900 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.900 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
64.901 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
64.901 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
64.902 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
64.903 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
64.903 * [backup-simplify]: Simplify (* 2.0 (- 2.0)) into -4.0
64.905 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -4.0) into 4.0
64.906 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
64.906 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
64.906 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) (/ 1 (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) in beta
64.906 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) in beta
64.906 * [taylor]: Taking taylor expansion of 1.0 in beta
64.906 * [backup-simplify]: Simplify 1.0 into 1.0
64.906 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))))) in beta
64.906 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
64.906 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in beta
64.906 * [taylor]: Taking taylor expansion of (cbrt -1) in beta
64.906 * [taylor]: Taking taylor expansion of -1 in beta
64.906 * [backup-simplify]: Simplify -1 into -1
64.907 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
64.907 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
64.908 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
64.908 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
64.908 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
64.908 * [taylor]: Taking taylor expansion of alpha in beta
64.908 * [backup-simplify]: Simplify alpha into alpha
64.908 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.908 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
64.908 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
64.908 * [taylor]: Taking taylor expansion of 2.0 in beta
64.908 * [backup-simplify]: Simplify 2.0 into 2.0
64.908 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.908 * [taylor]: Taking taylor expansion of i in beta
64.908 * [backup-simplify]: Simplify i into i
64.908 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.908 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.908 * [taylor]: Taking taylor expansion of beta in beta
64.908 * [backup-simplify]: Simplify 0 into 0
64.908 * [backup-simplify]: Simplify 1 into 1
64.909 * [backup-simplify]: Simplify (/ 1 1) into 1
64.909 * [taylor]: Taking taylor expansion of (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
64.909 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
64.909 * [taylor]: Taking taylor expansion of beta in beta
64.909 * [backup-simplify]: Simplify 0 into 0
64.909 * [backup-simplify]: Simplify 1 into 1
64.909 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
64.909 * [taylor]: Taking taylor expansion of 2.0 in beta
64.909 * [backup-simplify]: Simplify 2.0 into 2.0
64.909 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
64.909 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
64.909 * [taylor]: Taking taylor expansion of alpha in beta
64.909 * [backup-simplify]: Simplify alpha into alpha
64.909 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.909 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
64.909 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
64.909 * [taylor]: Taking taylor expansion of 2.0 in beta
64.909 * [backup-simplify]: Simplify 2.0 into 2.0
64.909 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.909 * [taylor]: Taking taylor expansion of i in beta
64.909 * [backup-simplify]: Simplify i into i
64.909 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.909 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.909 * [taylor]: Taking taylor expansion of beta in beta
64.909 * [backup-simplify]: Simplify 0 into 0
64.909 * [backup-simplify]: Simplify 1 into 1
64.910 * [backup-simplify]: Simplify (/ 1 1) into 1
64.911 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
64.914 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3)
64.914 * [backup-simplify]: Simplify (+ 0 1) into 1
64.915 * [backup-simplify]: Simplify (+ 0 1) into 1
64.915 * [backup-simplify]: Simplify (* 1 1) into 1
64.916 * [backup-simplify]: Simplify (+ 0 1) into 1
64.916 * [backup-simplify]: Simplify (+ 0 1) into 1
64.916 * [backup-simplify]: Simplify (- 1) into -1
64.917 * [backup-simplify]: Simplify (+ 0 -1) into -1
64.917 * [backup-simplify]: Simplify (* 1 -1) into -1
64.918 * [backup-simplify]: Simplify (* 1 -1) into -1
64.920 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -1) into 1
64.920 * [backup-simplify]: Simplify (/ 1 1) into 1
64.920 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))))) in beta
64.920 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
64.920 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
64.920 * [taylor]: Taking taylor expansion of alpha in beta
64.920 * [backup-simplify]: Simplify alpha into alpha
64.920 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
64.920 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in beta
64.920 * [taylor]: Taking taylor expansion of (cbrt -1) in beta
64.920 * [taylor]: Taking taylor expansion of -1 in beta
64.920 * [backup-simplify]: Simplify -1 into -1
64.921 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
64.922 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
64.922 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
64.922 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
64.922 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
64.922 * [taylor]: Taking taylor expansion of alpha in beta
64.922 * [backup-simplify]: Simplify alpha into alpha
64.922 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.922 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
64.922 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
64.922 * [taylor]: Taking taylor expansion of 2.0 in beta
64.922 * [backup-simplify]: Simplify 2.0 into 2.0
64.922 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.922 * [taylor]: Taking taylor expansion of i in beta
64.922 * [backup-simplify]: Simplify i into i
64.922 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.922 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.922 * [taylor]: Taking taylor expansion of beta in beta
64.922 * [backup-simplify]: Simplify 0 into 0
64.922 * [backup-simplify]: Simplify 1 into 1
64.923 * [backup-simplify]: Simplify (/ 1 1) into 1
64.923 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
64.923 * [taylor]: Taking taylor expansion of 2.0 in beta
64.923 * [backup-simplify]: Simplify 2.0 into 2.0
64.923 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
64.923 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
64.923 * [taylor]: Taking taylor expansion of alpha in beta
64.923 * [backup-simplify]: Simplify alpha into alpha
64.923 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
64.923 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
64.923 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
64.923 * [taylor]: Taking taylor expansion of 2.0 in beta
64.923 * [backup-simplify]: Simplify 2.0 into 2.0
64.923 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
64.923 * [taylor]: Taking taylor expansion of i in beta
64.923 * [backup-simplify]: Simplify i into i
64.923 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.923 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
64.923 * [taylor]: Taking taylor expansion of beta in beta
64.923 * [backup-simplify]: Simplify 0 into 0
64.923 * [backup-simplify]: Simplify 1 into 1
64.924 * [backup-simplify]: Simplify (/ 1 1) into 1
64.924 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
64.925 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
64.928 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3)
64.928 * [backup-simplify]: Simplify (+ 0 1) into 1
64.928 * [backup-simplify]: Simplify (+ 0 1) into 1
64.929 * [backup-simplify]: Simplify (+ 0 1) into 1
64.929 * [backup-simplify]: Simplify (+ 0 1) into 1
64.930 * [backup-simplify]: Simplify (- 1) into -1
64.930 * [backup-simplify]: Simplify (+ 0 -1) into -1
64.931 * [backup-simplify]: Simplify (* 1 -1) into -1
64.932 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -1) into 1
64.933 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
64.933 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
64.933 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) (/ 1 (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) in alpha
64.933 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) in alpha
64.933 * [taylor]: Taking taylor expansion of 1.0 in alpha
64.933 * [backup-simplify]: Simplify 1.0 into 1.0
64.933 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))))) in alpha
64.933 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
64.933 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in alpha
64.933 * [taylor]: Taking taylor expansion of (cbrt -1) in alpha
64.933 * [taylor]: Taking taylor expansion of -1 in alpha
64.933 * [backup-simplify]: Simplify -1 into -1
64.934 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
64.934 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
64.934 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
64.934 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.934 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.934 * [taylor]: Taking taylor expansion of alpha in alpha
64.935 * [backup-simplify]: Simplify 0 into 0
64.935 * [backup-simplify]: Simplify 1 into 1
64.935 * [backup-simplify]: Simplify (/ 1 1) into 1
64.935 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.935 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.935 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.935 * [backup-simplify]: Simplify 2.0 into 2.0
64.935 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.935 * [taylor]: Taking taylor expansion of i in alpha
64.935 * [backup-simplify]: Simplify i into i
64.935 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.935 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.935 * [taylor]: Taking taylor expansion of beta in alpha
64.935 * [backup-simplify]: Simplify beta into beta
64.935 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.935 * [taylor]: Taking taylor expansion of (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
64.935 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
64.936 * [taylor]: Taking taylor expansion of beta in alpha
64.936 * [backup-simplify]: Simplify beta into beta
64.936 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
64.936 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.936 * [backup-simplify]: Simplify 2.0 into 2.0
64.936 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.936 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.936 * [taylor]: Taking taylor expansion of alpha in alpha
64.936 * [backup-simplify]: Simplify 0 into 0
64.936 * [backup-simplify]: Simplify 1 into 1
64.936 * [backup-simplify]: Simplify (/ 1 1) into 1
64.936 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.936 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.936 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.936 * [backup-simplify]: Simplify 2.0 into 2.0
64.936 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.936 * [taylor]: Taking taylor expansion of i in alpha
64.936 * [backup-simplify]: Simplify i into i
64.937 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.937 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.937 * [taylor]: Taking taylor expansion of beta in alpha
64.937 * [backup-simplify]: Simplify beta into beta
64.937 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.938 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
64.941 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3)
64.941 * [backup-simplify]: Simplify (+ 1 0) into 1
64.941 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
64.942 * [backup-simplify]: Simplify (+ 1 0) into 1
64.942 * [backup-simplify]: Simplify (- 1) into -1
64.943 * [backup-simplify]: Simplify (+ 0 -1) into -1
64.943 * [backup-simplify]: Simplify (* (pow beta 2) -1) into (* -1 (pow beta 2))
64.943 * [backup-simplify]: Simplify (* 1 (* -1 (pow beta 2))) into (* -1 (pow beta 2))
64.944 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) (* -1 (pow beta 2))) into (pow beta 2)
64.944 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
64.944 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))))) in alpha
64.944 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
64.944 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
64.944 * [taylor]: Taking taylor expansion of alpha in alpha
64.945 * [backup-simplify]: Simplify 0 into 0
64.945 * [backup-simplify]: Simplify 1 into 1
64.945 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
64.945 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in alpha
64.945 * [taylor]: Taking taylor expansion of (cbrt -1) in alpha
64.945 * [taylor]: Taking taylor expansion of -1 in alpha
64.945 * [backup-simplify]: Simplify -1 into -1
64.945 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
64.946 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
64.946 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
64.946 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.946 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.946 * [taylor]: Taking taylor expansion of alpha in alpha
64.946 * [backup-simplify]: Simplify 0 into 0
64.946 * [backup-simplify]: Simplify 1 into 1
64.947 * [backup-simplify]: Simplify (/ 1 1) into 1
64.947 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.947 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.947 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.947 * [backup-simplify]: Simplify 2.0 into 2.0
64.947 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.947 * [taylor]: Taking taylor expansion of i in alpha
64.947 * [backup-simplify]: Simplify i into i
64.947 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.947 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.947 * [taylor]: Taking taylor expansion of beta in alpha
64.947 * [backup-simplify]: Simplify beta into beta
64.947 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.947 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
64.947 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.947 * [backup-simplify]: Simplify 2.0 into 2.0
64.947 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.947 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.947 * [taylor]: Taking taylor expansion of alpha in alpha
64.947 * [backup-simplify]: Simplify 0 into 0
64.947 * [backup-simplify]: Simplify 1 into 1
64.948 * [backup-simplify]: Simplify (/ 1 1) into 1
64.948 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.948 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.948 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.948 * [backup-simplify]: Simplify 2.0 into 2.0
64.948 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.948 * [taylor]: Taking taylor expansion of i in alpha
64.948 * [backup-simplify]: Simplify i into i
64.948 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.948 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.948 * [taylor]: Taking taylor expansion of beta in alpha
64.948 * [backup-simplify]: Simplify beta into beta
64.948 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.949 * [backup-simplify]: Simplify (* 1 1) into 1
64.951 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
64.953 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3)
64.954 * [backup-simplify]: Simplify (+ 1 0) into 1
64.954 * [backup-simplify]: Simplify (+ 1 0) into 1
64.955 * [backup-simplify]: Simplify (- 1) into -1
64.955 * [backup-simplify]: Simplify (+ 0 -1) into -1
64.956 * [backup-simplify]: Simplify (* 1 -1) into -1
64.958 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -1) into 1
64.958 * [backup-simplify]: Simplify (* 1 1) into 1
64.958 * [backup-simplify]: Simplify (/ 1 1) into 1
64.958 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) (/ 1 (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) in alpha
64.958 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))))) in alpha
64.959 * [taylor]: Taking taylor expansion of 1.0 in alpha
64.959 * [backup-simplify]: Simplify 1.0 into 1.0
64.959 * [taylor]: Taking taylor expansion of (/ 1 (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))))) in alpha
64.959 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
64.959 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in alpha
64.959 * [taylor]: Taking taylor expansion of (cbrt -1) in alpha
64.959 * [taylor]: Taking taylor expansion of -1 in alpha
64.959 * [backup-simplify]: Simplify -1 into -1
64.959 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
64.960 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
64.960 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
64.960 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.960 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.960 * [taylor]: Taking taylor expansion of alpha in alpha
64.960 * [backup-simplify]: Simplify 0 into 0
64.960 * [backup-simplify]: Simplify 1 into 1
64.961 * [backup-simplify]: Simplify (/ 1 1) into 1
64.961 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.961 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.961 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.961 * [backup-simplify]: Simplify 2.0 into 2.0
64.961 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.961 * [taylor]: Taking taylor expansion of i in alpha
64.961 * [backup-simplify]: Simplify i into i
64.961 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.961 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.961 * [taylor]: Taking taylor expansion of beta in alpha
64.961 * [backup-simplify]: Simplify beta into beta
64.961 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.961 * [taylor]: Taking taylor expansion of (* (pow beta 2) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
64.961 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
64.961 * [taylor]: Taking taylor expansion of beta in alpha
64.961 * [backup-simplify]: Simplify beta into beta
64.961 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
64.961 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.961 * [backup-simplify]: Simplify 2.0 into 2.0
64.961 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.961 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.961 * [taylor]: Taking taylor expansion of alpha in alpha
64.961 * [backup-simplify]: Simplify 0 into 0
64.961 * [backup-simplify]: Simplify 1 into 1
64.962 * [backup-simplify]: Simplify (/ 1 1) into 1
64.962 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.962 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.962 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.962 * [backup-simplify]: Simplify 2.0 into 2.0
64.962 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.962 * [taylor]: Taking taylor expansion of i in alpha
64.962 * [backup-simplify]: Simplify i into i
64.962 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.962 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.962 * [taylor]: Taking taylor expansion of beta in alpha
64.962 * [backup-simplify]: Simplify beta into beta
64.962 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.964 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
64.966 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3)
64.966 * [backup-simplify]: Simplify (+ 1 0) into 1
64.966 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
64.967 * [backup-simplify]: Simplify (+ 1 0) into 1
64.967 * [backup-simplify]: Simplify (- 1) into -1
64.968 * [backup-simplify]: Simplify (+ 0 -1) into -1
64.968 * [backup-simplify]: Simplify (* (pow beta 2) -1) into (* -1 (pow beta 2))
64.968 * [backup-simplify]: Simplify (* 1 (* -1 (pow beta 2))) into (* -1 (pow beta 2))
64.969 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) (* -1 (pow beta 2))) into (pow beta 2)
64.969 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
64.969 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))))) in alpha
64.969 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
64.969 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
64.970 * [taylor]: Taking taylor expansion of alpha in alpha
64.970 * [backup-simplify]: Simplify 0 into 0
64.970 * [backup-simplify]: Simplify 1 into 1
64.970 * [taylor]: Taking taylor expansion of (* (pow (cbrt -1) 3) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
64.970 * [taylor]: Taking taylor expansion of (pow (cbrt -1) 3) in alpha
64.970 * [taylor]: Taking taylor expansion of (cbrt -1) in alpha
64.970 * [taylor]: Taking taylor expansion of -1 in alpha
64.970 * [backup-simplify]: Simplify -1 into -1
64.970 * [backup-simplify]: Simplify (cbrt -1) into (cbrt -1)
64.971 * [backup-simplify]: Simplify (/ 0 (* 3 (cbrt -1))) into 0
64.971 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
64.971 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.971 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.971 * [taylor]: Taking taylor expansion of alpha in alpha
64.971 * [backup-simplify]: Simplify 0 into 0
64.971 * [backup-simplify]: Simplify 1 into 1
64.972 * [backup-simplify]: Simplify (/ 1 1) into 1
64.972 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.972 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.972 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.972 * [backup-simplify]: Simplify 2.0 into 2.0
64.972 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.972 * [taylor]: Taking taylor expansion of i in alpha
64.972 * [backup-simplify]: Simplify i into i
64.972 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.972 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.972 * [taylor]: Taking taylor expansion of beta in alpha
64.972 * [backup-simplify]: Simplify beta into beta
64.972 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.972 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
64.972 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.972 * [backup-simplify]: Simplify 2.0 into 2.0
64.972 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
64.972 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
64.972 * [taylor]: Taking taylor expansion of alpha in alpha
64.972 * [backup-simplify]: Simplify 0 into 0
64.972 * [backup-simplify]: Simplify 1 into 1
64.973 * [backup-simplify]: Simplify (/ 1 1) into 1
64.973 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
64.973 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
64.973 * [taylor]: Taking taylor expansion of 2.0 in alpha
64.973 * [backup-simplify]: Simplify 2.0 into 2.0
64.973 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
64.973 * [taylor]: Taking taylor expansion of i in alpha
64.973 * [backup-simplify]: Simplify i into i
64.973 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
64.973 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
64.973 * [taylor]: Taking taylor expansion of beta in alpha
64.973 * [backup-simplify]: Simplify beta into beta
64.973 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
64.974 * [backup-simplify]: Simplify (* 1 1) into 1
64.975 * [backup-simplify]: Simplify (* (cbrt -1) (cbrt -1)) into (pow (cbrt -1) 2)
64.986 * [backup-simplify]: Simplify (* (cbrt -1) (pow (cbrt -1) 2)) into (pow (cbrt -1) 3)
64.987 * [backup-simplify]: Simplify (+ 1 0) into 1
64.987 * [backup-simplify]: Simplify (+ 1 0) into 1
64.988 * [backup-simplify]: Simplify (- 1) into -1
64.988 * [backup-simplify]: Simplify (+ 0 -1) into -1
64.988 * [backup-simplify]: Simplify (* 1 -1) into -1
64.990 * [backup-simplify]: Simplify (* (pow (cbrt -1) 3) -1) into 1
64.991 * [backup-simplify]: Simplify (* 1 1) into 1
64.991 * [backup-simplify]: Simplify (/ 1 1) into 1
64.992 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
64.992 * [backup-simplify]: Simplify (- 1) into -1
64.992 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
64.992 * [taylor]: Taking taylor expansion of 0 in beta
64.993 * [backup-simplify]: Simplify 0 into 0
64.993 * [taylor]: Taking taylor expansion of 0 in i
64.993 * [backup-simplify]: Simplify 0 into 0
64.993 * [backup-simplify]: Simplify 0 into 0
64.993 * [backup-simplify]: Simplify (+ 0 0) into 0
64.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.994 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
64.994 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
64.994 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
64.994 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
64.995 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
64.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
64.996 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
64.996 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
64.996 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
64.996 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
64.997 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
64.999 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0
65.000 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
65.001 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.002 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) (* 0 1)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
65.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 1)))) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
65.003 * [backup-simplify]: Simplify (- (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
65.003 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
65.003 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
65.003 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
65.003 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
65.003 * [taylor]: Taking taylor expansion of 4.0 in beta
65.003 * [backup-simplify]: Simplify 4.0 into 4.0
65.003 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.003 * [taylor]: Taking taylor expansion of i in beta
65.003 * [backup-simplify]: Simplify i into i
65.003 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.003 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
65.003 * [taylor]: Taking taylor expansion of 2 in beta
65.003 * [backup-simplify]: Simplify 2 into 2
65.003 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.003 * [taylor]: Taking taylor expansion of beta in beta
65.003 * [backup-simplify]: Simplify 0 into 0
65.003 * [backup-simplify]: Simplify 1 into 1
65.004 * [backup-simplify]: Simplify (/ 1 1) into 1
65.004 * [taylor]: Taking taylor expansion of 2.0 in beta
65.004 * [backup-simplify]: Simplify 2.0 into 2.0
65.004 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
65.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.006 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
65.006 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
65.006 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
65.007 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
65.007 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
65.007 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
65.007 * [taylor]: Taking taylor expansion of 4.0 in i
65.007 * [backup-simplify]: Simplify 4.0 into 4.0
65.007 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.007 * [taylor]: Taking taylor expansion of i in i
65.007 * [backup-simplify]: Simplify 0 into 0
65.007 * [backup-simplify]: Simplify 1 into 1
65.007 * [backup-simplify]: Simplify (/ 1 1) into 1
65.007 * [taylor]: Taking taylor expansion of 2.0 in i
65.007 * [backup-simplify]: Simplify 2.0 into 2.0
65.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.009 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
65.009 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
65.010 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
65.011 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
65.011 * [taylor]: Taking taylor expansion of 0 in i
65.011 * [backup-simplify]: Simplify 0 into 0
65.011 * [backup-simplify]: Simplify 0 into 0
65.011 * [backup-simplify]: Simplify 0 into 0
65.011 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
65.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.013 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
65.013 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
65.013 * [backup-simplify]: Simplify (+ 0 0) into 0
65.013 * [backup-simplify]: Simplify (+ 0 0) into 0
65.014 * [backup-simplify]: Simplify (- 0) into 0
65.014 * [backup-simplify]: Simplify (+ 0 0) into 0
65.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.016 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
65.016 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
65.016 * [backup-simplify]: Simplify (+ 0 0) into 0
65.017 * [backup-simplify]: Simplify (+ 0 0) into 0
65.018 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
65.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 (cbrt -1))))) (* 3 (cbrt -1))) into 0
65.021 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (cbrt -1)))) into 0
65.023 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2)))) into 0
65.026 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))
65.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.028 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) (* 0 1))) into (- (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (* 4.0 (/ 1 (* i beta))))) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))
65.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (* 4.0 (/ 1 (* i beta))))) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))) 1)) (* (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) (/ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 1)))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))) (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))))
65.032 * [backup-simplify]: Simplify (- (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))) (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
65.033 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))))
65.034 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)))) in beta
65.034 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
65.034 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
65.034 * [taylor]: Taking taylor expansion of 12.0 in beta
65.034 * [backup-simplify]: Simplify 12.0 into 12.0
65.034 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.034 * [taylor]: Taking taylor expansion of i in beta
65.034 * [backup-simplify]: Simplify i into i
65.034 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.034 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
65.034 * [taylor]: Taking taylor expansion of 6.0 in beta
65.034 * [backup-simplify]: Simplify 6.0 into 6.0
65.034 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.034 * [taylor]: Taking taylor expansion of beta in beta
65.034 * [backup-simplify]: Simplify 0 into 0
65.034 * [backup-simplify]: Simplify 1 into 1
65.035 * [backup-simplify]: Simplify (/ 1 1) into 1
65.035 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) in beta
65.035 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
65.035 * [taylor]: Taking taylor expansion of 2 in beta
65.035 * [backup-simplify]: Simplify 2 into 2
65.035 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
65.035 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.035 * [taylor]: Taking taylor expansion of beta in beta
65.035 * [backup-simplify]: Simplify 0 into 0
65.035 * [backup-simplify]: Simplify 1 into 1
65.036 * [backup-simplify]: Simplify (* 1 1) into 1
65.036 * [backup-simplify]: Simplify (/ 1 1) into 1
65.036 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in beta
65.036 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
65.036 * [taylor]: Taking taylor expansion of 12.0 in beta
65.036 * [backup-simplify]: Simplify 12.0 into 12.0
65.036 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
65.036 * [taylor]: Taking taylor expansion of (* i beta) in beta
65.036 * [taylor]: Taking taylor expansion of i in beta
65.036 * [backup-simplify]: Simplify i into i
65.037 * [taylor]: Taking taylor expansion of beta in beta
65.037 * [backup-simplify]: Simplify 0 into 0
65.037 * [backup-simplify]: Simplify 1 into 1
65.037 * [backup-simplify]: Simplify (* i 0) into 0
65.037 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
65.037 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.037 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in beta
65.037 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
65.037 * [taylor]: Taking taylor expansion of 12.0 in beta
65.037 * [backup-simplify]: Simplify 12.0 into 12.0
65.037 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
65.037 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.037 * [taylor]: Taking taylor expansion of i in beta
65.037 * [backup-simplify]: Simplify i into i
65.038 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.038 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
65.038 * [taylor]: Taking taylor expansion of 4.0 in beta
65.038 * [backup-simplify]: Simplify 4.0 into 4.0
65.038 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
65.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.039 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
65.040 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
65.041 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.044 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
65.045 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
65.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.045 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
65.046 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
65.046 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
65.046 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
65.046 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
65.047 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
65.047 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
65.047 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
65.047 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
65.047 * [taylor]: Taking taylor expansion of 12.0 in i
65.047 * [backup-simplify]: Simplify 12.0 into 12.0
65.047 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.047 * [taylor]: Taking taylor expansion of i in i
65.047 * [backup-simplify]: Simplify 0 into 0
65.047 * [backup-simplify]: Simplify 1 into 1
65.048 * [backup-simplify]: Simplify (/ 1 1) into 1
65.048 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
65.048 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
65.048 * [taylor]: Taking taylor expansion of 12.0 in i
65.048 * [backup-simplify]: Simplify 12.0 into 12.0
65.048 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
65.048 * [taylor]: Taking taylor expansion of (pow i 2) in i
65.048 * [taylor]: Taking taylor expansion of i in i
65.048 * [backup-simplify]: Simplify 0 into 0
65.048 * [backup-simplify]: Simplify 1 into 1
65.049 * [backup-simplify]: Simplify (* 1 1) into 1
65.049 * [backup-simplify]: Simplify (/ 1 1) into 1
65.049 * [taylor]: Taking taylor expansion of 4.0 in i
65.049 * [backup-simplify]: Simplify 4.0 into 4.0
65.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.051 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
65.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.055 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
65.055 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
65.056 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
65.056 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
65.057 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
65.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.058 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
65.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.060 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
65.060 * [backup-simplify]: Simplify (+ 0 0) into 0
65.060 * [backup-simplify]: Simplify (- 0) into 0
65.061 * [backup-simplify]: Simplify (+ 0 0) into 0
65.061 * [taylor]: Taking taylor expansion of 0 in i
65.061 * [backup-simplify]: Simplify 0 into 0
65.061 * [backup-simplify]: Simplify 0 into 0
65.061 * [taylor]: Taking taylor expansion of 0 in i
65.061 * [backup-simplify]: Simplify 0 into 0
65.061 * [backup-simplify]: Simplify 0 into 0
65.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.063 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
65.063 * [backup-simplify]: Simplify (- 0) into 0
65.064 * [backup-simplify]: Simplify (+ 0 0) into 0
65.064 * [backup-simplify]: Simplify 0 into 0
65.064 * [backup-simplify]: Simplify 0 into 0
65.064 * [backup-simplify]: Simplify 0 into 0
65.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.065 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.065 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.065 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.065 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
65.065 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
65.066 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
65.067 * [backup-simplify]: Simplify (+ (* (pow beta 2) (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* 0 -1)) into (- (* 2.0 (pow beta 2)) (+ (* 2.0 (/ (pow beta 2) i)) beta))
65.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.067 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.068 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.068 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.069 * [backup-simplify]: Simplify (+ (* 1 (- (* 2.0 (pow beta 2)) (+ (* 2.0 (/ (pow beta 2) i)) beta))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (* -1 (pow beta 2)))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
65.070 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (cbrt -1))) into 0
65.071 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (* 0 (pow (cbrt -1) 2))) into 0
65.073 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))) (* 0 (* -1 (pow beta 2)))) into (- (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)) (* 2.0 (pow beta 2)))
65.074 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (- (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)) (* 2.0 (pow beta 2))) (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
65.075 * [backup-simplify]: Simplify (+ 0 (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
65.076 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.077 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
65.078 * [backup-simplify]: Simplify (+ 0 0) into 0
65.078 * [backup-simplify]: Simplify (+ 0 0) into 0
65.079 * [backup-simplify]: Simplify (- 0) into 0
65.079 * [backup-simplify]: Simplify (+ 0 0) into 0
65.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.081 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
65.082 * [backup-simplify]: Simplify (+ 0 0) into 0
65.082 * [backup-simplify]: Simplify (+ 0 0) into 0
65.083 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* 0 -1)))) into 0
65.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0 0)))) (* 3 (cbrt -1))) into 0
65.086 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (cbrt -1))))) into 0
65.088 * [backup-simplify]: Simplify (+ (* (cbrt -1) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (cbrt -1) 2))))) into 0
65.091 * [backup-simplify]: Simplify (+ (* (pow (cbrt -1) 3) 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
65.092 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) (* 0 1)))) into 0
65.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) (/ (- (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (* 4.0 (/ 1 (* i beta))))) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))) 1)) (* (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))) (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta)))) (/ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 1)))) into (- (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))
65.101 * [backup-simplify]: Simplify (- (- (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
65.105 * [backup-simplify]: Simplify (+ (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3))))) (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
65.105 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
65.105 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
65.105 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
65.105 * [taylor]: Taking taylor expansion of 20.0 in beta
65.105 * [backup-simplify]: Simplify 20.0 into 20.0
65.106 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
65.106 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
65.106 * [taylor]: Taking taylor expansion of i in beta
65.106 * [backup-simplify]: Simplify i into i
65.106 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.106 * [taylor]: Taking taylor expansion of beta in beta
65.106 * [backup-simplify]: Simplify 0 into 0
65.106 * [backup-simplify]: Simplify 1 into 1
65.106 * [backup-simplify]: Simplify (* 1 1) into 1
65.106 * [backup-simplify]: Simplify (* i 1) into i
65.107 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.107 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
65.107 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
65.107 * [taylor]: Taking taylor expansion of 2 in beta
65.107 * [backup-simplify]: Simplify 2 into 2
65.107 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
65.107 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
65.107 * [taylor]: Taking taylor expansion of beta in beta
65.107 * [backup-simplify]: Simplify 0 into 0
65.107 * [backup-simplify]: Simplify 1 into 1
65.107 * [backup-simplify]: Simplify (* 1 1) into 1
65.108 * [backup-simplify]: Simplify (* 1 1) into 1
65.108 * [backup-simplify]: Simplify (/ 1 1) into 1
65.108 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
65.108 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
65.108 * [taylor]: Taking taylor expansion of 48.0 in beta
65.108 * [backup-simplify]: Simplify 48.0 into 48.0
65.108 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
65.108 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
65.108 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.108 * [taylor]: Taking taylor expansion of i in beta
65.108 * [backup-simplify]: Simplify i into i
65.108 * [taylor]: Taking taylor expansion of beta in beta
65.108 * [backup-simplify]: Simplify 0 into 0
65.108 * [backup-simplify]: Simplify 1 into 1
65.108 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.109 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
65.109 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
65.109 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
65.109 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
65.110 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
65.110 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
65.110 * [taylor]: Taking taylor expansion of 32.0 in beta
65.110 * [backup-simplify]: Simplify 32.0 into 32.0
65.110 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.110 * [taylor]: Taking taylor expansion of i in beta
65.110 * [backup-simplify]: Simplify i into i
65.110 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.110 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
65.110 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
65.110 * [taylor]: Taking taylor expansion of 16.0 in beta
65.110 * [backup-simplify]: Simplify 16.0 into 16.0
65.110 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.110 * [taylor]: Taking taylor expansion of beta in beta
65.110 * [backup-simplify]: Simplify 0 into 0
65.110 * [backup-simplify]: Simplify 1 into 1
65.110 * [backup-simplify]: Simplify (/ 1 1) into 1
65.111 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
65.111 * [taylor]: Taking taylor expansion of 32.0 in beta
65.111 * [backup-simplify]: Simplify 32.0 into 32.0
65.111 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
65.111 * [taylor]: Taking taylor expansion of (pow i 3) in beta
65.111 * [taylor]: Taking taylor expansion of i in beta
65.111 * [backup-simplify]: Simplify i into i
65.111 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.111 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
65.111 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
65.111 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
65.111 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
65.111 * [taylor]: Taking taylor expansion of 10.0 in beta
65.111 * [backup-simplify]: Simplify 10.0 into 10.0
65.111 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
65.111 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.111 * [taylor]: Taking taylor expansion of beta in beta
65.111 * [backup-simplify]: Simplify 0 into 0
65.111 * [backup-simplify]: Simplify 1 into 1
65.112 * [backup-simplify]: Simplify (* 1 1) into 1
65.112 * [backup-simplify]: Simplify (/ 1 1) into 1
65.112 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
65.112 * [taylor]: Taking taylor expansion of 8.0 in beta
65.112 * [backup-simplify]: Simplify 8.0 into 8.0
65.112 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
65.112 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
65.112 * [taylor]: Taking taylor expansion of 48.0 in beta
65.112 * [backup-simplify]: Simplify 48.0 into 48.0
65.112 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
65.112 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.113 * [taylor]: Taking taylor expansion of i in beta
65.113 * [backup-simplify]: Simplify i into i
65.113 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.113 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
65.113 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
65.113 * [taylor]: Taking taylor expansion of 48.0 in beta
65.113 * [backup-simplify]: Simplify 48.0 into 48.0
65.113 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
65.113 * [taylor]: Taking taylor expansion of (* i beta) in beta
65.113 * [taylor]: Taking taylor expansion of i in beta
65.113 * [backup-simplify]: Simplify i into i
65.113 * [taylor]: Taking taylor expansion of beta in beta
65.113 * [backup-simplify]: Simplify 0 into 0
65.113 * [backup-simplify]: Simplify 1 into 1
65.113 * [backup-simplify]: Simplify (* i 0) into 0
65.114 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
65.114 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.116 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
65.116 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
65.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.117 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.118 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.119 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.120 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.120 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.121 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.124 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.124 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.127 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.127 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
65.128 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
65.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
65.129 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
65.129 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
65.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.130 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
65.131 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
65.131 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
65.131 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
65.132 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
65.132 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
65.132 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
65.133 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.137 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
65.137 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
65.138 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
65.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.138 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
65.139 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
65.139 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
65.139 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
65.139 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
65.140 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
65.140 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
65.140 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
65.140 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
65.140 * [taylor]: Taking taylor expansion of 32.0 in i
65.140 * [backup-simplify]: Simplify 32.0 into 32.0
65.140 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.140 * [taylor]: Taking taylor expansion of i in i
65.140 * [backup-simplify]: Simplify 0 into 0
65.140 * [backup-simplify]: Simplify 1 into 1
65.141 * [backup-simplify]: Simplify (/ 1 1) into 1
65.141 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
65.141 * [taylor]: Taking taylor expansion of 32.0 in i
65.141 * [backup-simplify]: Simplify 32.0 into 32.0
65.141 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
65.141 * [taylor]: Taking taylor expansion of (pow i 3) in i
65.141 * [taylor]: Taking taylor expansion of i in i
65.141 * [backup-simplify]: Simplify 0 into 0
65.141 * [backup-simplify]: Simplify 1 into 1
65.142 * [backup-simplify]: Simplify (* 1 1) into 1
65.150 * [backup-simplify]: Simplify (* 1 1) into 1
65.151 * [backup-simplify]: Simplify (/ 1 1) into 1
65.151 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
65.151 * [taylor]: Taking taylor expansion of 8.0 in i
65.151 * [backup-simplify]: Simplify 8.0 into 8.0
65.151 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
65.151 * [taylor]: Taking taylor expansion of 48.0 in i
65.151 * [backup-simplify]: Simplify 48.0 into 48.0
65.151 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
65.151 * [taylor]: Taking taylor expansion of (pow i 2) in i
65.151 * [taylor]: Taking taylor expansion of i in i
65.151 * [backup-simplify]: Simplify 0 into 0
65.151 * [backup-simplify]: Simplify 1 into 1
65.152 * [backup-simplify]: Simplify (* 1 1) into 1
65.152 * [backup-simplify]: Simplify (/ 1 1) into 1
65.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.154 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
65.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.158 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.160 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.163 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.163 * [backup-simplify]: Simplify (+ 0 0) into 0
65.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.168 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
65.168 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
65.168 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
65.169 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
65.170 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
65.172 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
65.172 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 1 2 1)
65.173 * [backup-simplify]: Simplify (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
65.173 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
65.173 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
65.173 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
65.173 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
65.173 * [taylor]: Taking taylor expansion of (pow beta 2) in i
65.173 * [taylor]: Taking taylor expansion of beta in i
65.173 * [backup-simplify]: Simplify beta into beta
65.173 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
65.173 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
65.173 * [taylor]: Taking taylor expansion of alpha in i
65.173 * [backup-simplify]: Simplify alpha into alpha
65.173 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
65.173 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.173 * [taylor]: Taking taylor expansion of 2.0 in i
65.173 * [backup-simplify]: Simplify 2.0 into 2.0
65.173 * [taylor]: Taking taylor expansion of i in i
65.173 * [backup-simplify]: Simplify 0 into 0
65.174 * [backup-simplify]: Simplify 1 into 1
65.174 * [taylor]: Taking taylor expansion of beta in i
65.174 * [backup-simplify]: Simplify beta into beta
65.174 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
65.174 * [taylor]: Taking taylor expansion of alpha in i
65.174 * [backup-simplify]: Simplify alpha into alpha
65.174 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
65.174 * [taylor]: Taking taylor expansion of 2.0 in i
65.174 * [backup-simplify]: Simplify 2.0 into 2.0
65.174 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
65.174 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.174 * [taylor]: Taking taylor expansion of 2.0 in i
65.174 * [backup-simplify]: Simplify 2.0 into 2.0
65.174 * [taylor]: Taking taylor expansion of i in i
65.174 * [backup-simplify]: Simplify 0 into 0
65.174 * [backup-simplify]: Simplify 1 into 1
65.174 * [taylor]: Taking taylor expansion of beta in i
65.174 * [backup-simplify]: Simplify beta into beta
65.174 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.175 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.175 * [backup-simplify]: Simplify (+ 0 beta) into beta
65.175 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
65.175 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.175 * [backup-simplify]: Simplify (+ 0 beta) into beta
65.175 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
65.175 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
65.176 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
65.176 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
65.176 * [taylor]: Taking taylor expansion of 1.0 in i
65.176 * [backup-simplify]: Simplify 1.0 into 1.0
65.176 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
65.176 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
65.176 * [taylor]: Taking taylor expansion of alpha in i
65.176 * [backup-simplify]: Simplify alpha into alpha
65.176 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
65.176 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
65.176 * [taylor]: Taking taylor expansion of alpha in i
65.176 * [backup-simplify]: Simplify alpha into alpha
65.176 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
65.176 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.176 * [taylor]: Taking taylor expansion of 2.0 in i
65.176 * [backup-simplify]: Simplify 2.0 into 2.0
65.176 * [taylor]: Taking taylor expansion of i in i
65.176 * [backup-simplify]: Simplify 0 into 0
65.176 * [backup-simplify]: Simplify 1 into 1
65.176 * [taylor]: Taking taylor expansion of beta in i
65.176 * [backup-simplify]: Simplify beta into beta
65.176 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
65.177 * [taylor]: Taking taylor expansion of alpha in i
65.177 * [backup-simplify]: Simplify alpha into alpha
65.177 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
65.177 * [taylor]: Taking taylor expansion of 2.0 in i
65.177 * [backup-simplify]: Simplify 2.0 into 2.0
65.177 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
65.177 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.177 * [taylor]: Taking taylor expansion of 2.0 in i
65.177 * [backup-simplify]: Simplify 2.0 into 2.0
65.177 * [taylor]: Taking taylor expansion of i in i
65.177 * [backup-simplify]: Simplify 0 into 0
65.177 * [backup-simplify]: Simplify 1 into 1
65.177 * [taylor]: Taking taylor expansion of beta in i
65.177 * [backup-simplify]: Simplify beta into beta
65.177 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
65.177 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.178 * [backup-simplify]: Simplify (+ 0 beta) into beta
65.178 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
65.178 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.178 * [backup-simplify]: Simplify (+ 0 beta) into beta
65.178 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
65.178 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
65.178 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
65.179 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
65.179 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
65.179 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
65.179 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
65.179 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.179 * [taylor]: Taking taylor expansion of beta in beta
65.179 * [backup-simplify]: Simplify 0 into 0
65.179 * [backup-simplify]: Simplify 1 into 1
65.179 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
65.179 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
65.179 * [taylor]: Taking taylor expansion of alpha in beta
65.179 * [backup-simplify]: Simplify alpha into alpha
65.179 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.179 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.179 * [taylor]: Taking taylor expansion of 2.0 in beta
65.179 * [backup-simplify]: Simplify 2.0 into 2.0
65.179 * [taylor]: Taking taylor expansion of i in beta
65.179 * [backup-simplify]: Simplify i into i
65.179 * [taylor]: Taking taylor expansion of beta in beta
65.179 * [backup-simplify]: Simplify 0 into 0
65.179 * [backup-simplify]: Simplify 1 into 1
65.179 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
65.179 * [taylor]: Taking taylor expansion of alpha in beta
65.179 * [backup-simplify]: Simplify alpha into alpha
65.180 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
65.180 * [taylor]: Taking taylor expansion of 2.0 in beta
65.180 * [backup-simplify]: Simplify 2.0 into 2.0
65.180 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.180 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.180 * [taylor]: Taking taylor expansion of 2.0 in beta
65.180 * [backup-simplify]: Simplify 2.0 into 2.0
65.180 * [taylor]: Taking taylor expansion of i in beta
65.180 * [backup-simplify]: Simplify i into i
65.180 * [taylor]: Taking taylor expansion of beta in beta
65.180 * [backup-simplify]: Simplify 0 into 0
65.180 * [backup-simplify]: Simplify 1 into 1
65.180 * [backup-simplify]: Simplify (* 1 1) into 1
65.180 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.180 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.181 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
65.181 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.181 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.181 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
65.181 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
65.181 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
65.181 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
65.181 * [taylor]: Taking taylor expansion of 1.0 in beta
65.181 * [backup-simplify]: Simplify 1.0 into 1.0
65.182 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
65.182 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
65.182 * [taylor]: Taking taylor expansion of alpha in beta
65.182 * [backup-simplify]: Simplify alpha into alpha
65.182 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
65.182 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
65.182 * [taylor]: Taking taylor expansion of alpha in beta
65.182 * [backup-simplify]: Simplify alpha into alpha
65.182 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.182 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.182 * [taylor]: Taking taylor expansion of 2.0 in beta
65.182 * [backup-simplify]: Simplify 2.0 into 2.0
65.182 * [taylor]: Taking taylor expansion of i in beta
65.182 * [backup-simplify]: Simplify i into i
65.182 * [taylor]: Taking taylor expansion of beta in beta
65.182 * [backup-simplify]: Simplify 0 into 0
65.182 * [backup-simplify]: Simplify 1 into 1
65.182 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
65.182 * [taylor]: Taking taylor expansion of alpha in beta
65.182 * [backup-simplify]: Simplify alpha into alpha
65.182 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
65.182 * [taylor]: Taking taylor expansion of 2.0 in beta
65.182 * [backup-simplify]: Simplify 2.0 into 2.0
65.182 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.182 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.182 * [taylor]: Taking taylor expansion of 2.0 in beta
65.182 * [backup-simplify]: Simplify 2.0 into 2.0
65.182 * [taylor]: Taking taylor expansion of i in beta
65.182 * [backup-simplify]: Simplify i into i
65.182 * [taylor]: Taking taylor expansion of beta in beta
65.182 * [backup-simplify]: Simplify 0 into 0
65.183 * [backup-simplify]: Simplify 1 into 1
65.183 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
65.183 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.183 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.183 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
65.183 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.183 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.183 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
65.183 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
65.183 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
65.184 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
65.184 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
65.184 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
65.184 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
65.184 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
65.184 * [taylor]: Taking taylor expansion of beta in alpha
65.184 * [backup-simplify]: Simplify beta into beta
65.184 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
65.184 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
65.184 * [taylor]: Taking taylor expansion of alpha in alpha
65.184 * [backup-simplify]: Simplify 0 into 0
65.184 * [backup-simplify]: Simplify 1 into 1
65.184 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.184 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.184 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.184 * [backup-simplify]: Simplify 2.0 into 2.0
65.184 * [taylor]: Taking taylor expansion of i in alpha
65.184 * [backup-simplify]: Simplify i into i
65.184 * [taylor]: Taking taylor expansion of beta in alpha
65.184 * [backup-simplify]: Simplify beta into beta
65.184 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
65.184 * [taylor]: Taking taylor expansion of alpha in alpha
65.185 * [backup-simplify]: Simplify 0 into 0
65.185 * [backup-simplify]: Simplify 1 into 1
65.185 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
65.185 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.185 * [backup-simplify]: Simplify 2.0 into 2.0
65.185 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.185 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.185 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.185 * [backup-simplify]: Simplify 2.0 into 2.0
65.185 * [taylor]: Taking taylor expansion of i in alpha
65.185 * [backup-simplify]: Simplify i into i
65.185 * [taylor]: Taking taylor expansion of beta in alpha
65.185 * [backup-simplify]: Simplify beta into beta
65.185 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.185 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.185 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.185 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
65.185 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.185 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.185 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
65.186 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
65.186 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
65.186 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
65.186 * [taylor]: Taking taylor expansion of 1.0 in alpha
65.186 * [backup-simplify]: Simplify 1.0 into 1.0
65.186 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
65.186 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
65.186 * [taylor]: Taking taylor expansion of alpha in alpha
65.186 * [backup-simplify]: Simplify 0 into 0
65.186 * [backup-simplify]: Simplify 1 into 1
65.186 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
65.186 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
65.186 * [taylor]: Taking taylor expansion of alpha in alpha
65.187 * [backup-simplify]: Simplify 0 into 0
65.187 * [backup-simplify]: Simplify 1 into 1
65.187 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.187 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.187 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.187 * [backup-simplify]: Simplify 2.0 into 2.0
65.187 * [taylor]: Taking taylor expansion of i in alpha
65.187 * [backup-simplify]: Simplify i into i
65.187 * [taylor]: Taking taylor expansion of beta in alpha
65.187 * [backup-simplify]: Simplify beta into beta
65.187 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
65.187 * [taylor]: Taking taylor expansion of alpha in alpha
65.187 * [backup-simplify]: Simplify 0 into 0
65.187 * [backup-simplify]: Simplify 1 into 1
65.187 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
65.187 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.187 * [backup-simplify]: Simplify 2.0 into 2.0
65.187 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.187 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.187 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.187 * [backup-simplify]: Simplify 2.0 into 2.0
65.187 * [taylor]: Taking taylor expansion of i in alpha
65.187 * [backup-simplify]: Simplify i into i
65.187 * [taylor]: Taking taylor expansion of beta in alpha
65.187 * [backup-simplify]: Simplify beta into beta
65.188 * [backup-simplify]: Simplify (* 1 1) into 1
65.188 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.188 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.188 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
65.188 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.188 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.188 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
65.189 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
65.189 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
65.189 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
65.189 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
65.189 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
65.189 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
65.189 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
65.189 * [taylor]: Taking taylor expansion of beta in alpha
65.189 * [backup-simplify]: Simplify beta into beta
65.189 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
65.189 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
65.189 * [taylor]: Taking taylor expansion of alpha in alpha
65.189 * [backup-simplify]: Simplify 0 into 0
65.189 * [backup-simplify]: Simplify 1 into 1
65.189 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.189 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.189 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.190 * [backup-simplify]: Simplify 2.0 into 2.0
65.190 * [taylor]: Taking taylor expansion of i in alpha
65.190 * [backup-simplify]: Simplify i into i
65.190 * [taylor]: Taking taylor expansion of beta in alpha
65.190 * [backup-simplify]: Simplify beta into beta
65.190 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
65.190 * [taylor]: Taking taylor expansion of alpha in alpha
65.190 * [backup-simplify]: Simplify 0 into 0
65.190 * [backup-simplify]: Simplify 1 into 1
65.190 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
65.190 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.190 * [backup-simplify]: Simplify 2.0 into 2.0
65.190 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.190 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.190 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.190 * [backup-simplify]: Simplify 2.0 into 2.0
65.190 * [taylor]: Taking taylor expansion of i in alpha
65.190 * [backup-simplify]: Simplify i into i
65.190 * [taylor]: Taking taylor expansion of beta in alpha
65.190 * [backup-simplify]: Simplify beta into beta
65.190 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.190 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.190 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.190 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
65.190 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.191 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.191 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
65.191 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
65.191 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
65.191 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
65.191 * [taylor]: Taking taylor expansion of 1.0 in alpha
65.191 * [backup-simplify]: Simplify 1.0 into 1.0
65.192 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
65.192 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
65.192 * [taylor]: Taking taylor expansion of alpha in alpha
65.192 * [backup-simplify]: Simplify 0 into 0
65.192 * [backup-simplify]: Simplify 1 into 1
65.192 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
65.192 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
65.192 * [taylor]: Taking taylor expansion of alpha in alpha
65.192 * [backup-simplify]: Simplify 0 into 0
65.192 * [backup-simplify]: Simplify 1 into 1
65.192 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.192 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.192 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.192 * [backup-simplify]: Simplify 2.0 into 2.0
65.192 * [taylor]: Taking taylor expansion of i in alpha
65.192 * [backup-simplify]: Simplify i into i
65.192 * [taylor]: Taking taylor expansion of beta in alpha
65.192 * [backup-simplify]: Simplify beta into beta
65.192 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
65.192 * [taylor]: Taking taylor expansion of alpha in alpha
65.192 * [backup-simplify]: Simplify 0 into 0
65.192 * [backup-simplify]: Simplify 1 into 1
65.192 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
65.192 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.192 * [backup-simplify]: Simplify 2.0 into 2.0
65.192 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.192 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.192 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.192 * [backup-simplify]: Simplify 2.0 into 2.0
65.192 * [taylor]: Taking taylor expansion of i in alpha
65.192 * [backup-simplify]: Simplify i into i
65.192 * [taylor]: Taking taylor expansion of beta in alpha
65.192 * [backup-simplify]: Simplify beta into beta
65.193 * [backup-simplify]: Simplify (* 1 1) into 1
65.193 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.193 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.193 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
65.193 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.194 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.194 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
65.194 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
65.194 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
65.194 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
65.195 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
65.195 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
65.195 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
65.195 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
65.196 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.196 * [taylor]: Taking taylor expansion of beta in beta
65.196 * [backup-simplify]: Simplify 0 into 0
65.196 * [backup-simplify]: Simplify 1 into 1
65.196 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
65.196 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.196 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.196 * [taylor]: Taking taylor expansion of 2.0 in beta
65.196 * [backup-simplify]: Simplify 2.0 into 2.0
65.196 * [taylor]: Taking taylor expansion of i in beta
65.196 * [backup-simplify]: Simplify i into i
65.196 * [taylor]: Taking taylor expansion of beta in beta
65.196 * [backup-simplify]: Simplify 0 into 0
65.196 * [backup-simplify]: Simplify 1 into 1
65.196 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.196 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.196 * [taylor]: Taking taylor expansion of 2.0 in beta
65.196 * [backup-simplify]: Simplify 2.0 into 2.0
65.196 * [taylor]: Taking taylor expansion of i in beta
65.196 * [backup-simplify]: Simplify i into i
65.196 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.196 * [taylor]: Taking taylor expansion of beta in beta
65.196 * [backup-simplify]: Simplify 0 into 0
65.196 * [backup-simplify]: Simplify 1 into 1
65.196 * [taylor]: Taking taylor expansion of 2.0 in beta
65.196 * [backup-simplify]: Simplify 2.0 into 2.0
65.197 * [backup-simplify]: Simplify (* 1 1) into 1
65.197 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.197 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.197 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.198 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.198 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.198 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
65.198 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
65.198 * [taylor]: Taking taylor expansion of 1.0 in beta
65.198 * [backup-simplify]: Simplify 1.0 into 1.0
65.199 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
65.199 * [taylor]: Taking taylor expansion of 1.0 in i
65.199 * [backup-simplify]: Simplify 1.0 into 1.0
65.199 * [backup-simplify]: Simplify 1.0 into 1.0
65.199 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
65.200 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
65.200 * [backup-simplify]: Simplify (+ 0 0) into 0
65.200 * [backup-simplify]: Simplify (+ 0 0) into 0
65.201 * [backup-simplify]: Simplify (+ 1 0) into 1
65.201 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
65.202 * [backup-simplify]: Simplify (+ 0 0) into 0
65.202 * [backup-simplify]: Simplify (+ 1 0) into 1
65.203 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
65.209 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
65.212 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
65.216 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
65.216 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
65.216 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
65.216 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
65.216 * [taylor]: Taking taylor expansion of 4.0 in beta
65.216 * [backup-simplify]: Simplify 4.0 into 4.0
65.216 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
65.216 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
65.216 * [taylor]: Taking taylor expansion of i in beta
65.216 * [backup-simplify]: Simplify i into i
65.216 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.216 * [taylor]: Taking taylor expansion of beta in beta
65.216 * [backup-simplify]: Simplify 0 into 0
65.216 * [backup-simplify]: Simplify 1 into 1
65.216 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
65.217 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
65.217 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.217 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.217 * [taylor]: Taking taylor expansion of 2.0 in beta
65.217 * [backup-simplify]: Simplify 2.0 into 2.0
65.217 * [taylor]: Taking taylor expansion of i in beta
65.217 * [backup-simplify]: Simplify i into i
65.217 * [taylor]: Taking taylor expansion of beta in beta
65.217 * [backup-simplify]: Simplify 0 into 0
65.217 * [backup-simplify]: Simplify 1 into 1
65.217 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.217 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.217 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
65.217 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.217 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.217 * [taylor]: Taking taylor expansion of 2.0 in beta
65.217 * [backup-simplify]: Simplify 2.0 into 2.0
65.217 * [taylor]: Taking taylor expansion of i in beta
65.217 * [backup-simplify]: Simplify i into i
65.217 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.217 * [taylor]: Taking taylor expansion of beta in beta
65.217 * [backup-simplify]: Simplify 0 into 0
65.217 * [backup-simplify]: Simplify 1 into 1
65.217 * [taylor]: Taking taylor expansion of 2.0 in beta
65.217 * [backup-simplify]: Simplify 2.0 into 2.0
65.217 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.218 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.218 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.219 * [backup-simplify]: Simplify (* 1 1) into 1
65.219 * [backup-simplify]: Simplify (* i 1) into i
65.219 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.219 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.220 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.220 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
65.220 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
65.220 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
65.220 * [taylor]: Taking taylor expansion of 2 in beta
65.220 * [backup-simplify]: Simplify 2 into 2
65.220 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
65.220 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
65.221 * [taylor]: Taking taylor expansion of beta in beta
65.221 * [backup-simplify]: Simplify 0 into 0
65.221 * [backup-simplify]: Simplify 1 into 1
65.221 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
65.221 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
65.221 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.221 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.221 * [taylor]: Taking taylor expansion of 2.0 in beta
65.221 * [backup-simplify]: Simplify 2.0 into 2.0
65.221 * [taylor]: Taking taylor expansion of i in beta
65.221 * [backup-simplify]: Simplify i into i
65.221 * [taylor]: Taking taylor expansion of beta in beta
65.221 * [backup-simplify]: Simplify 0 into 0
65.221 * [backup-simplify]: Simplify 1 into 1
65.221 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.221 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.221 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
65.221 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.221 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.221 * [taylor]: Taking taylor expansion of 2.0 in beta
65.221 * [backup-simplify]: Simplify 2.0 into 2.0
65.221 * [taylor]: Taking taylor expansion of i in beta
65.221 * [backup-simplify]: Simplify i into i
65.221 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.221 * [taylor]: Taking taylor expansion of beta in beta
65.221 * [backup-simplify]: Simplify 0 into 0
65.221 * [backup-simplify]: Simplify 1 into 1
65.221 * [taylor]: Taking taylor expansion of 2.0 in beta
65.221 * [backup-simplify]: Simplify 2.0 into 2.0
65.222 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.222 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.222 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.223 * [backup-simplify]: Simplify (* 1 1) into 1
65.223 * [backup-simplify]: Simplify (* 1 1) into 1
65.223 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.223 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.224 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.224 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.224 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
65.224 * [taylor]: Taking taylor expansion of 2.0 in beta
65.224 * [backup-simplify]: Simplify 2.0 into 2.0
65.224 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
65.224 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.224 * [taylor]: Taking taylor expansion of beta in beta
65.224 * [backup-simplify]: Simplify 0 into 0
65.225 * [backup-simplify]: Simplify 1 into 1
65.225 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
65.225 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
65.225 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.225 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.225 * [taylor]: Taking taylor expansion of 2.0 in beta
65.225 * [backup-simplify]: Simplify 2.0 into 2.0
65.225 * [taylor]: Taking taylor expansion of i in beta
65.225 * [backup-simplify]: Simplify i into i
65.225 * [taylor]: Taking taylor expansion of beta in beta
65.225 * [backup-simplify]: Simplify 0 into 0
65.225 * [backup-simplify]: Simplify 1 into 1
65.225 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.225 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.225 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
65.225 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.225 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.225 * [taylor]: Taking taylor expansion of 2.0 in beta
65.225 * [backup-simplify]: Simplify 2.0 into 2.0
65.225 * [taylor]: Taking taylor expansion of i in beta
65.225 * [backup-simplify]: Simplify i into i
65.225 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.225 * [taylor]: Taking taylor expansion of beta in beta
65.225 * [backup-simplify]: Simplify 0 into 0
65.225 * [backup-simplify]: Simplify 1 into 1
65.225 * [taylor]: Taking taylor expansion of 2.0 in beta
65.225 * [backup-simplify]: Simplify 2.0 into 2.0
65.226 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.226 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.226 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.227 * [backup-simplify]: Simplify (* 1 1) into 1
65.227 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.227 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.228 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.228 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.228 * [backup-simplify]: Simplify (+ 0 0) into 0
65.228 * [taylor]: Taking taylor expansion of 0 in i
65.228 * [backup-simplify]: Simplify 0 into 0
65.229 * [backup-simplify]: Simplify 0 into 0
65.229 * [backup-simplify]: Simplify 0 into 0
65.229 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
65.230 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
65.230 * [backup-simplify]: Simplify (+ 0 0) into 0
65.231 * [backup-simplify]: Simplify (+ 0 0) into 0
65.231 * [backup-simplify]: Simplify (+ 0 0) into 0
65.232 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
65.232 * [backup-simplify]: Simplify (+ 0 0) into 0
65.233 * [backup-simplify]: Simplify (+ 0 0) into 0
65.233 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
65.241 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
65.251 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
65.252 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
65.261 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
65.261 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
65.262 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
65.262 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.262 * [taylor]: Taking taylor expansion of 16.0 in beta
65.262 * [backup-simplify]: Simplify 16.0 into 16.0
65.262 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.262 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
65.262 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.262 * [taylor]: Taking taylor expansion of i in beta
65.262 * [backup-simplify]: Simplify i into i
65.262 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.262 * [taylor]: Taking taylor expansion of beta in beta
65.262 * [backup-simplify]: Simplify 0 into 0
65.262 * [backup-simplify]: Simplify 1 into 1
65.262 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.262 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.262 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.262 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.262 * [taylor]: Taking taylor expansion of 2.0 in beta
65.262 * [backup-simplify]: Simplify 2.0 into 2.0
65.262 * [taylor]: Taking taylor expansion of i in beta
65.262 * [backup-simplify]: Simplify i into i
65.262 * [taylor]: Taking taylor expansion of beta in beta
65.262 * [backup-simplify]: Simplify 0 into 0
65.262 * [backup-simplify]: Simplify 1 into 1
65.262 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.262 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.263 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.263 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.263 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.263 * [taylor]: Taking taylor expansion of 2.0 in beta
65.263 * [backup-simplify]: Simplify 2.0 into 2.0
65.263 * [taylor]: Taking taylor expansion of i in beta
65.263 * [backup-simplify]: Simplify i into i
65.263 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.263 * [taylor]: Taking taylor expansion of beta in beta
65.263 * [backup-simplify]: Simplify 0 into 0
65.263 * [backup-simplify]: Simplify 1 into 1
65.263 * [taylor]: Taking taylor expansion of 2.0 in beta
65.263 * [backup-simplify]: Simplify 2.0 into 2.0
65.263 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.264 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.264 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.264 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.264 * [backup-simplify]: Simplify (* 1 1) into 1
65.264 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
65.264 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.265 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.265 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.265 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.265 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.266 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
65.266 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
65.266 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.266 * [taylor]: Taking taylor expansion of 4 in beta
65.266 * [backup-simplify]: Simplify 4 into 4
65.266 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.266 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
65.266 * [taylor]: Taking taylor expansion of beta in beta
65.266 * [backup-simplify]: Simplify 0 into 0
65.266 * [backup-simplify]: Simplify 1 into 1
65.266 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.266 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.266 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.266 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.266 * [taylor]: Taking taylor expansion of 2.0 in beta
65.266 * [backup-simplify]: Simplify 2.0 into 2.0
65.266 * [taylor]: Taking taylor expansion of i in beta
65.266 * [backup-simplify]: Simplify i into i
65.266 * [taylor]: Taking taylor expansion of beta in beta
65.267 * [backup-simplify]: Simplify 0 into 0
65.267 * [backup-simplify]: Simplify 1 into 1
65.267 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.267 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.267 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.267 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.267 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.267 * [taylor]: Taking taylor expansion of 2.0 in beta
65.267 * [backup-simplify]: Simplify 2.0 into 2.0
65.267 * [taylor]: Taking taylor expansion of i in beta
65.267 * [backup-simplify]: Simplify i into i
65.267 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.267 * [taylor]: Taking taylor expansion of beta in beta
65.267 * [backup-simplify]: Simplify 0 into 0
65.267 * [backup-simplify]: Simplify 1 into 1
65.267 * [taylor]: Taking taylor expansion of 2.0 in beta
65.267 * [backup-simplify]: Simplify 2.0 into 2.0
65.267 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.268 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.268 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.268 * [backup-simplify]: Simplify (* 1 1) into 1
65.269 * [backup-simplify]: Simplify (* 1 1) into 1
65.269 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.269 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.269 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.269 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.270 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.270 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.270 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
65.270 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.270 * [taylor]: Taking taylor expansion of 8.0 in beta
65.270 * [backup-simplify]: Simplify 8.0 into 8.0
65.270 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.270 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
65.270 * [taylor]: Taking taylor expansion of beta in beta
65.270 * [backup-simplify]: Simplify 0 into 0
65.270 * [backup-simplify]: Simplify 1 into 1
65.270 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.270 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.271 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.271 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.271 * [taylor]: Taking taylor expansion of 2.0 in beta
65.271 * [backup-simplify]: Simplify 2.0 into 2.0
65.271 * [taylor]: Taking taylor expansion of i in beta
65.271 * [backup-simplify]: Simplify i into i
65.271 * [taylor]: Taking taylor expansion of beta in beta
65.271 * [backup-simplify]: Simplify 0 into 0
65.271 * [backup-simplify]: Simplify 1 into 1
65.271 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.271 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.271 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.271 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.271 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.271 * [taylor]: Taking taylor expansion of 2.0 in beta
65.271 * [backup-simplify]: Simplify 2.0 into 2.0
65.271 * [taylor]: Taking taylor expansion of i in beta
65.271 * [backup-simplify]: Simplify i into i
65.271 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.271 * [taylor]: Taking taylor expansion of beta in beta
65.271 * [backup-simplify]: Simplify 0 into 0
65.271 * [backup-simplify]: Simplify 1 into 1
65.271 * [taylor]: Taking taylor expansion of 2.0 in beta
65.271 * [backup-simplify]: Simplify 2.0 into 2.0
65.271 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.272 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.272 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.273 * [backup-simplify]: Simplify (* 1 1) into 1
65.273 * [backup-simplify]: Simplify (* 1 1) into 1
65.273 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.273 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.274 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.274 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.274 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.275 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.275 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
65.275 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.275 * [taylor]: Taking taylor expansion of 16.0 in beta
65.275 * [backup-simplify]: Simplify 16.0 into 16.0
65.275 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.275 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
65.275 * [taylor]: Taking taylor expansion of i in beta
65.275 * [backup-simplify]: Simplify i into i
65.275 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
65.275 * [taylor]: Taking taylor expansion of beta in beta
65.275 * [backup-simplify]: Simplify 0 into 0
65.275 * [backup-simplify]: Simplify 1 into 1
65.275 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.275 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.275 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.275 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.275 * [taylor]: Taking taylor expansion of 2.0 in beta
65.275 * [backup-simplify]: Simplify 2.0 into 2.0
65.275 * [taylor]: Taking taylor expansion of i in beta
65.275 * [backup-simplify]: Simplify i into i
65.275 * [taylor]: Taking taylor expansion of beta in beta
65.275 * [backup-simplify]: Simplify 0 into 0
65.275 * [backup-simplify]: Simplify 1 into 1
65.275 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.276 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.276 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.276 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.276 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.276 * [taylor]: Taking taylor expansion of 2.0 in beta
65.276 * [backup-simplify]: Simplify 2.0 into 2.0
65.276 * [taylor]: Taking taylor expansion of i in beta
65.276 * [backup-simplify]: Simplify i into i
65.276 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.276 * [taylor]: Taking taylor expansion of beta in beta
65.276 * [backup-simplify]: Simplify 0 into 0
65.276 * [backup-simplify]: Simplify 1 into 1
65.276 * [taylor]: Taking taylor expansion of 2.0 in beta
65.276 * [backup-simplify]: Simplify 2.0 into 2.0
65.276 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.277 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.277 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.277 * [backup-simplify]: Simplify (* 1 1) into 1
65.278 * [backup-simplify]: Simplify (* 1 1) into 1
65.278 * [backup-simplify]: Simplify (* i 1) into i
65.278 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.278 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.278 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.279 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.279 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.279 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
65.279 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
65.279 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.279 * [taylor]: Taking taylor expansion of 16.0 in beta
65.280 * [backup-simplify]: Simplify 16.0 into 16.0
65.280 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.280 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
65.280 * [taylor]: Taking taylor expansion of i in beta
65.280 * [backup-simplify]: Simplify i into i
65.280 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.280 * [taylor]: Taking taylor expansion of beta in beta
65.280 * [backup-simplify]: Simplify 0 into 0
65.280 * [backup-simplify]: Simplify 1 into 1
65.280 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.280 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.280 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.280 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.280 * [taylor]: Taking taylor expansion of 2.0 in beta
65.280 * [backup-simplify]: Simplify 2.0 into 2.0
65.280 * [taylor]: Taking taylor expansion of i in beta
65.280 * [backup-simplify]: Simplify i into i
65.280 * [taylor]: Taking taylor expansion of beta in beta
65.280 * [backup-simplify]: Simplify 0 into 0
65.280 * [backup-simplify]: Simplify 1 into 1
65.280 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.280 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.280 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.280 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.280 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.280 * [taylor]: Taking taylor expansion of 2.0 in beta
65.280 * [backup-simplify]: Simplify 2.0 into 2.0
65.280 * [taylor]: Taking taylor expansion of i in beta
65.280 * [backup-simplify]: Simplify i into i
65.280 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.280 * [taylor]: Taking taylor expansion of beta in beta
65.281 * [backup-simplify]: Simplify 0 into 0
65.281 * [backup-simplify]: Simplify 1 into 1
65.281 * [taylor]: Taking taylor expansion of 2.0 in beta
65.281 * [backup-simplify]: Simplify 2.0 into 2.0
65.281 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.281 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.281 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.282 * [backup-simplify]: Simplify (* 1 1) into 1
65.282 * [backup-simplify]: Simplify (* i 1) into i
65.282 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.282 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.282 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.283 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.283 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.283 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
65.283 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.283 * [taylor]: Taking taylor expansion of 4.0 in beta
65.283 * [backup-simplify]: Simplify 4.0 into 4.0
65.283 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.284 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.284 * [taylor]: Taking taylor expansion of beta in beta
65.284 * [backup-simplify]: Simplify 0 into 0
65.284 * [backup-simplify]: Simplify 1 into 1
65.284 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.284 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.284 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.284 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.284 * [taylor]: Taking taylor expansion of 2.0 in beta
65.284 * [backup-simplify]: Simplify 2.0 into 2.0
65.284 * [taylor]: Taking taylor expansion of i in beta
65.284 * [backup-simplify]: Simplify i into i
65.284 * [taylor]: Taking taylor expansion of beta in beta
65.284 * [backup-simplify]: Simplify 0 into 0
65.284 * [backup-simplify]: Simplify 1 into 1
65.284 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.284 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.284 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.284 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.284 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.284 * [taylor]: Taking taylor expansion of 2.0 in beta
65.284 * [backup-simplify]: Simplify 2.0 into 2.0
65.284 * [taylor]: Taking taylor expansion of i in beta
65.284 * [backup-simplify]: Simplify i into i
65.284 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.284 * [taylor]: Taking taylor expansion of beta in beta
65.284 * [backup-simplify]: Simplify 0 into 0
65.284 * [backup-simplify]: Simplify 1 into 1
65.284 * [taylor]: Taking taylor expansion of 2.0 in beta
65.284 * [backup-simplify]: Simplify 2.0 into 2.0
65.284 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.285 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.285 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.286 * [backup-simplify]: Simplify (* 1 1) into 1
65.286 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.286 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.286 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.286 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.287 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.287 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
65.287 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
65.287 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
65.287 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.287 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.287 * [taylor]: Taking taylor expansion of 2.0 in beta
65.287 * [backup-simplify]: Simplify 2.0 into 2.0
65.287 * [taylor]: Taking taylor expansion of i in beta
65.287 * [backup-simplify]: Simplify i into i
65.287 * [taylor]: Taking taylor expansion of beta in beta
65.287 * [backup-simplify]: Simplify 0 into 0
65.287 * [backup-simplify]: Simplify 1 into 1
65.287 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.287 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.288 * [taylor]: Taking taylor expansion of 2.0 in beta
65.288 * [backup-simplify]: Simplify 2.0 into 2.0
65.288 * [taylor]: Taking taylor expansion of i in beta
65.288 * [backup-simplify]: Simplify i into i
65.288 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.288 * [taylor]: Taking taylor expansion of beta in beta
65.288 * [backup-simplify]: Simplify 0 into 0
65.288 * [backup-simplify]: Simplify 1 into 1
65.288 * [taylor]: Taking taylor expansion of 2.0 in beta
65.288 * [backup-simplify]: Simplify 2.0 into 2.0
65.288 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.288 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.288 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.289 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.289 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.289 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
65.289 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
65.289 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
65.289 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.289 * [taylor]: Taking taylor expansion of beta in beta
65.289 * [backup-simplify]: Simplify 0 into 0
65.289 * [backup-simplify]: Simplify 1 into 1
65.289 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
65.289 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
65.289 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.289 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.289 * [taylor]: Taking taylor expansion of 2.0 in beta
65.289 * [backup-simplify]: Simplify 2.0 into 2.0
65.289 * [taylor]: Taking taylor expansion of i in beta
65.289 * [backup-simplify]: Simplify i into i
65.289 * [taylor]: Taking taylor expansion of beta in beta
65.289 * [backup-simplify]: Simplify 0 into 0
65.289 * [backup-simplify]: Simplify 1 into 1
65.289 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.290 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.290 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
65.290 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.290 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.290 * [taylor]: Taking taylor expansion of 2.0 in beta
65.290 * [backup-simplify]: Simplify 2.0 into 2.0
65.290 * [taylor]: Taking taylor expansion of i in beta
65.290 * [backup-simplify]: Simplify i into i
65.290 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.290 * [taylor]: Taking taylor expansion of beta in beta
65.290 * [backup-simplify]: Simplify 0 into 0
65.290 * [backup-simplify]: Simplify 1 into 1
65.290 * [taylor]: Taking taylor expansion of 2.0 in beta
65.290 * [backup-simplify]: Simplify 2.0 into 2.0
65.290 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.290 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.291 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.291 * [backup-simplify]: Simplify (* 1 1) into 1
65.291 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.291 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.292 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.292 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.292 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
65.292 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
65.293 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
65.293 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
65.293 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
65.293 * [taylor]: Taking taylor expansion of 0.5 in i
65.293 * [backup-simplify]: Simplify 0.5 into 0.5
65.293 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
65.293 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
65.293 * [taylor]: Taking taylor expansion of i in i
65.293 * [backup-simplify]: Simplify 0 into 0
65.293 * [backup-simplify]: Simplify 1 into 1
65.293 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
65.293 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.293 * [taylor]: Taking taylor expansion of 2.0 in i
65.293 * [backup-simplify]: Simplify 2.0 into 2.0
65.293 * [taylor]: Taking taylor expansion of i in i
65.293 * [backup-simplify]: Simplify 0 into 0
65.293 * [backup-simplify]: Simplify 1 into 1
65.293 * [taylor]: Taking taylor expansion of 2.0 in i
65.293 * [backup-simplify]: Simplify 2.0 into 2.0
65.294 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.294 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.295 * [backup-simplify]: Simplify (* 0 2.0) into 0
65.296 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
65.297 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.298 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
65.299 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
65.300 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
65.300 * [backup-simplify]: Simplify (+ 0 0) into 0
65.303 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
65.305 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
65.307 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
65.308 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
65.308 * [backup-simplify]: Simplify 0.25 into 0.25
65.308 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
65.308 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
65.308 * [taylor]: Taking taylor expansion of 0.5 in i
65.308 * [backup-simplify]: Simplify 0.5 into 0.5
65.308 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
65.308 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
65.308 * [taylor]: Taking taylor expansion of i in i
65.308 * [backup-simplify]: Simplify 0 into 0
65.308 * [backup-simplify]: Simplify 1 into 1
65.308 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
65.308 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.308 * [taylor]: Taking taylor expansion of 2.0 in i
65.308 * [backup-simplify]: Simplify 2.0 into 2.0
65.308 * [taylor]: Taking taylor expansion of i in i
65.308 * [backup-simplify]: Simplify 0 into 0
65.308 * [backup-simplify]: Simplify 1 into 1
65.308 * [taylor]: Taking taylor expansion of 2.0 in i
65.308 * [backup-simplify]: Simplify 2.0 into 2.0
65.309 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.309 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.310 * [backup-simplify]: Simplify (* 0 2.0) into 0
65.311 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
65.312 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.313 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
65.314 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
65.315 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
65.315 * [backup-simplify]: Simplify (+ 0 0) into 0
65.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
65.320 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
65.322 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
65.322 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
65.323 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
65.325 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 alpha) (/ 1 beta)) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
65.325 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
65.325 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
65.325 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
65.325 * [taylor]: Taking taylor expansion of 1.0 in i
65.325 * [backup-simplify]: Simplify 1.0 into 1.0
65.325 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
65.325 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
65.325 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
65.325 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.325 * [taylor]: Taking taylor expansion of alpha in i
65.326 * [backup-simplify]: Simplify alpha into alpha
65.326 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.326 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
65.326 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.326 * [taylor]: Taking taylor expansion of 2.0 in i
65.326 * [backup-simplify]: Simplify 2.0 into 2.0
65.326 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.326 * [taylor]: Taking taylor expansion of i in i
65.326 * [backup-simplify]: Simplify 0 into 0
65.326 * [backup-simplify]: Simplify 1 into 1
65.332 * [backup-simplify]: Simplify (/ 1 1) into 1
65.332 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
65.332 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.332 * [taylor]: Taking taylor expansion of beta in i
65.332 * [backup-simplify]: Simplify beta into beta
65.333 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.333 * [taylor]: Taking taylor expansion of 2.0 in i
65.333 * [backup-simplify]: Simplify 2.0 into 2.0
65.333 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
65.333 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
65.333 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.333 * [taylor]: Taking taylor expansion of alpha in i
65.333 * [backup-simplify]: Simplify alpha into alpha
65.333 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.333 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
65.333 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.333 * [taylor]: Taking taylor expansion of 2.0 in i
65.333 * [backup-simplify]: Simplify 2.0 into 2.0
65.333 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.333 * [taylor]: Taking taylor expansion of i in i
65.333 * [backup-simplify]: Simplify 0 into 0
65.333 * [backup-simplify]: Simplify 1 into 1
65.334 * [backup-simplify]: Simplify (/ 1 1) into 1
65.334 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.334 * [taylor]: Taking taylor expansion of beta in i
65.334 * [backup-simplify]: Simplify beta into beta
65.334 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.334 * [taylor]: Taking taylor expansion of (pow beta 2) in i
65.334 * [taylor]: Taking taylor expansion of beta in i
65.334 * [backup-simplify]: Simplify beta into beta
65.335 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.335 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.335 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.336 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.336 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.337 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.337 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.337 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
65.337 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
65.337 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
65.338 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
65.338 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
65.338 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
65.338 * [taylor]: Taking taylor expansion of alpha in i
65.338 * [backup-simplify]: Simplify alpha into alpha
65.338 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
65.338 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
65.338 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.338 * [taylor]: Taking taylor expansion of alpha in i
65.338 * [backup-simplify]: Simplify alpha into alpha
65.338 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.338 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
65.338 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.338 * [taylor]: Taking taylor expansion of 2.0 in i
65.338 * [backup-simplify]: Simplify 2.0 into 2.0
65.338 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.338 * [taylor]: Taking taylor expansion of i in i
65.338 * [backup-simplify]: Simplify 0 into 0
65.338 * [backup-simplify]: Simplify 1 into 1
65.339 * [backup-simplify]: Simplify (/ 1 1) into 1
65.339 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.339 * [taylor]: Taking taylor expansion of beta in i
65.339 * [backup-simplify]: Simplify beta into beta
65.339 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.339 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
65.339 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.339 * [taylor]: Taking taylor expansion of alpha in i
65.339 * [backup-simplify]: Simplify alpha into alpha
65.339 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.339 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
65.339 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.339 * [taylor]: Taking taylor expansion of 2.0 in i
65.339 * [backup-simplify]: Simplify 2.0 into 2.0
65.339 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.339 * [taylor]: Taking taylor expansion of i in i
65.339 * [backup-simplify]: Simplify 0 into 0
65.339 * [backup-simplify]: Simplify 1 into 1
65.339 * [backup-simplify]: Simplify (/ 1 1) into 1
65.339 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
65.340 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.340 * [taylor]: Taking taylor expansion of beta in i
65.340 * [backup-simplify]: Simplify beta into beta
65.340 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.340 * [taylor]: Taking taylor expansion of 2.0 in i
65.340 * [backup-simplify]: Simplify 2.0 into 2.0
65.340 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
65.340 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.341 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.341 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.342 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.342 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.342 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.343 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
65.343 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
65.343 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
65.343 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
65.343 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
65.343 * [taylor]: Taking taylor expansion of 1.0 in beta
65.343 * [backup-simplify]: Simplify 1.0 into 1.0
65.343 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
65.343 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
65.344 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
65.344 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.344 * [taylor]: Taking taylor expansion of alpha in beta
65.344 * [backup-simplify]: Simplify alpha into alpha
65.344 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.344 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
65.344 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.344 * [taylor]: Taking taylor expansion of 2.0 in beta
65.344 * [backup-simplify]: Simplify 2.0 into 2.0
65.344 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.344 * [taylor]: Taking taylor expansion of i in beta
65.344 * [backup-simplify]: Simplify i into i
65.344 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.344 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
65.344 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.344 * [taylor]: Taking taylor expansion of beta in beta
65.344 * [backup-simplify]: Simplify 0 into 0
65.344 * [backup-simplify]: Simplify 1 into 1
65.344 * [backup-simplify]: Simplify (/ 1 1) into 1
65.344 * [taylor]: Taking taylor expansion of 2.0 in beta
65.344 * [backup-simplify]: Simplify 2.0 into 2.0
65.345 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
65.345 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
65.345 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.345 * [taylor]: Taking taylor expansion of alpha in beta
65.345 * [backup-simplify]: Simplify alpha into alpha
65.345 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.345 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
65.345 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.345 * [taylor]: Taking taylor expansion of 2.0 in beta
65.345 * [backup-simplify]: Simplify 2.0 into 2.0
65.345 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.345 * [taylor]: Taking taylor expansion of i in beta
65.345 * [backup-simplify]: Simplify i into i
65.345 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.345 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.345 * [taylor]: Taking taylor expansion of beta in beta
65.345 * [backup-simplify]: Simplify 0 into 0
65.345 * [backup-simplify]: Simplify 1 into 1
65.345 * [backup-simplify]: Simplify (/ 1 1) into 1
65.345 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.346 * [taylor]: Taking taylor expansion of beta in beta
65.346 * [backup-simplify]: Simplify 0 into 0
65.346 * [backup-simplify]: Simplify 1 into 1
65.346 * [backup-simplify]: Simplify (+ 1 0) into 1
65.346 * [backup-simplify]: Simplify (+ 0 1) into 1
65.347 * [backup-simplify]: Simplify (+ 0 1) into 1
65.347 * [backup-simplify]: Simplify (+ 0 1) into 1
65.348 * [backup-simplify]: Simplify (+ 0 1) into 1
65.348 * [backup-simplify]: Simplify (* 1 1) into 1
65.348 * [backup-simplify]: Simplify (* 1 1) into 1
65.349 * [backup-simplify]: Simplify (* 1 1) into 1
65.349 * [backup-simplify]: Simplify (/ 1 1) into 1
65.349 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
65.349 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
65.349 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
65.349 * [taylor]: Taking taylor expansion of alpha in beta
65.349 * [backup-simplify]: Simplify alpha into alpha
65.349 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
65.349 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
65.350 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.350 * [taylor]: Taking taylor expansion of alpha in beta
65.350 * [backup-simplify]: Simplify alpha into alpha
65.350 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.350 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
65.350 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.350 * [taylor]: Taking taylor expansion of 2.0 in beta
65.350 * [backup-simplify]: Simplify 2.0 into 2.0
65.350 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.350 * [taylor]: Taking taylor expansion of i in beta
65.350 * [backup-simplify]: Simplify i into i
65.350 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.350 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.350 * [taylor]: Taking taylor expansion of beta in beta
65.350 * [backup-simplify]: Simplify 0 into 0
65.350 * [backup-simplify]: Simplify 1 into 1
65.350 * [backup-simplify]: Simplify (/ 1 1) into 1
65.350 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
65.350 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.351 * [taylor]: Taking taylor expansion of alpha in beta
65.351 * [backup-simplify]: Simplify alpha into alpha
65.351 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.351 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
65.351 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.351 * [taylor]: Taking taylor expansion of 2.0 in beta
65.351 * [backup-simplify]: Simplify 2.0 into 2.0
65.351 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.351 * [taylor]: Taking taylor expansion of i in beta
65.351 * [backup-simplify]: Simplify i into i
65.351 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.351 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
65.351 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.351 * [taylor]: Taking taylor expansion of beta in beta
65.351 * [backup-simplify]: Simplify 0 into 0
65.351 * [backup-simplify]: Simplify 1 into 1
65.351 * [backup-simplify]: Simplify (/ 1 1) into 1
65.351 * [taylor]: Taking taylor expansion of 2.0 in beta
65.351 * [backup-simplify]: Simplify 2.0 into 2.0
65.352 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
65.352 * [backup-simplify]: Simplify (+ 0 1) into 1
65.352 * [backup-simplify]: Simplify (+ 0 1) into 1
65.353 * [backup-simplify]: Simplify (+ 1 0) into 1
65.353 * [backup-simplify]: Simplify (+ 0 1) into 1
65.354 * [backup-simplify]: Simplify (+ 0 1) into 1
65.354 * [backup-simplify]: Simplify (* 1 1) into 1
65.354 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
65.354 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
65.354 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
65.354 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
65.355 * [taylor]: Taking taylor expansion of 1.0 in alpha
65.355 * [backup-simplify]: Simplify 1.0 into 1.0
65.355 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
65.355 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
65.355 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
65.355 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.355 * [taylor]: Taking taylor expansion of alpha in alpha
65.355 * [backup-simplify]: Simplify 0 into 0
65.355 * [backup-simplify]: Simplify 1 into 1
65.355 * [backup-simplify]: Simplify (/ 1 1) into 1
65.355 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
65.355 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.355 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.355 * [backup-simplify]: Simplify 2.0 into 2.0
65.355 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.355 * [taylor]: Taking taylor expansion of i in alpha
65.355 * [backup-simplify]: Simplify i into i
65.355 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.355 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
65.355 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.356 * [taylor]: Taking taylor expansion of beta in alpha
65.356 * [backup-simplify]: Simplify beta into beta
65.356 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.356 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.356 * [backup-simplify]: Simplify 2.0 into 2.0
65.356 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
65.356 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.356 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.356 * [taylor]: Taking taylor expansion of alpha in alpha
65.356 * [backup-simplify]: Simplify 0 into 0
65.356 * [backup-simplify]: Simplify 1 into 1
65.356 * [backup-simplify]: Simplify (/ 1 1) into 1
65.356 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.356 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.356 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.356 * [backup-simplify]: Simplify 2.0 into 2.0
65.356 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.356 * [taylor]: Taking taylor expansion of i in alpha
65.356 * [backup-simplify]: Simplify i into i
65.356 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.356 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.357 * [taylor]: Taking taylor expansion of beta in alpha
65.357 * [backup-simplify]: Simplify beta into beta
65.357 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.357 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
65.357 * [taylor]: Taking taylor expansion of beta in alpha
65.357 * [backup-simplify]: Simplify beta into beta
65.357 * [backup-simplify]: Simplify (+ 1 0) into 1
65.358 * [backup-simplify]: Simplify (+ 1 0) into 1
65.358 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.358 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
65.358 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
65.358 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
65.358 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
65.358 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
65.358 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
65.358 * [taylor]: Taking taylor expansion of alpha in alpha
65.358 * [backup-simplify]: Simplify 0 into 0
65.358 * [backup-simplify]: Simplify 1 into 1
65.358 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
65.358 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.358 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.358 * [taylor]: Taking taylor expansion of alpha in alpha
65.358 * [backup-simplify]: Simplify 0 into 0
65.358 * [backup-simplify]: Simplify 1 into 1
65.359 * [backup-simplify]: Simplify (/ 1 1) into 1
65.359 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.359 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.359 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.359 * [backup-simplify]: Simplify 2.0 into 2.0
65.359 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.359 * [taylor]: Taking taylor expansion of i in alpha
65.359 * [backup-simplify]: Simplify i into i
65.359 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.359 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.359 * [taylor]: Taking taylor expansion of beta in alpha
65.359 * [backup-simplify]: Simplify beta into beta
65.359 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.359 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
65.359 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.359 * [taylor]: Taking taylor expansion of alpha in alpha
65.359 * [backup-simplify]: Simplify 0 into 0
65.359 * [backup-simplify]: Simplify 1 into 1
65.360 * [backup-simplify]: Simplify (/ 1 1) into 1
65.360 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
65.360 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.360 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.360 * [backup-simplify]: Simplify 2.0 into 2.0
65.360 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.360 * [taylor]: Taking taylor expansion of i in alpha
65.360 * [backup-simplify]: Simplify i into i
65.360 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.360 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
65.360 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.360 * [taylor]: Taking taylor expansion of beta in alpha
65.360 * [backup-simplify]: Simplify beta into beta
65.360 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.360 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.360 * [backup-simplify]: Simplify 2.0 into 2.0
65.361 * [backup-simplify]: Simplify (* 1 1) into 1
65.361 * [backup-simplify]: Simplify (+ 1 0) into 1
65.362 * [backup-simplify]: Simplify (+ 1 0) into 1
65.362 * [backup-simplify]: Simplify (* 1 1) into 1
65.362 * [backup-simplify]: Simplify (* 1 1) into 1
65.363 * [backup-simplify]: Simplify (/ 1 1) into 1
65.363 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
65.363 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
65.363 * [taylor]: Taking taylor expansion of 1.0 in alpha
65.363 * [backup-simplify]: Simplify 1.0 into 1.0
65.363 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
65.363 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
65.363 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
65.363 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.363 * [taylor]: Taking taylor expansion of alpha in alpha
65.363 * [backup-simplify]: Simplify 0 into 0
65.363 * [backup-simplify]: Simplify 1 into 1
65.363 * [backup-simplify]: Simplify (/ 1 1) into 1
65.363 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
65.364 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.364 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.364 * [backup-simplify]: Simplify 2.0 into 2.0
65.364 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.364 * [taylor]: Taking taylor expansion of i in alpha
65.364 * [backup-simplify]: Simplify i into i
65.364 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.364 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
65.364 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.364 * [taylor]: Taking taylor expansion of beta in alpha
65.364 * [backup-simplify]: Simplify beta into beta
65.364 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.364 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.364 * [backup-simplify]: Simplify 2.0 into 2.0
65.364 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
65.364 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.364 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.364 * [taylor]: Taking taylor expansion of alpha in alpha
65.364 * [backup-simplify]: Simplify 0 into 0
65.364 * [backup-simplify]: Simplify 1 into 1
65.365 * [backup-simplify]: Simplify (/ 1 1) into 1
65.365 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.365 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.365 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.365 * [backup-simplify]: Simplify 2.0 into 2.0
65.365 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.365 * [taylor]: Taking taylor expansion of i in alpha
65.365 * [backup-simplify]: Simplify i into i
65.365 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.365 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.365 * [taylor]: Taking taylor expansion of beta in alpha
65.365 * [backup-simplify]: Simplify beta into beta
65.365 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.365 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
65.365 * [taylor]: Taking taylor expansion of beta in alpha
65.365 * [backup-simplify]: Simplify beta into beta
65.366 * [backup-simplify]: Simplify (+ 1 0) into 1
65.366 * [backup-simplify]: Simplify (+ 1 0) into 1
65.366 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.366 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
65.366 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
65.367 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
65.367 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
65.367 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
65.367 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
65.367 * [taylor]: Taking taylor expansion of alpha in alpha
65.367 * [backup-simplify]: Simplify 0 into 0
65.367 * [backup-simplify]: Simplify 1 into 1
65.367 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
65.367 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.367 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.367 * [taylor]: Taking taylor expansion of alpha in alpha
65.367 * [backup-simplify]: Simplify 0 into 0
65.367 * [backup-simplify]: Simplify 1 into 1
65.367 * [backup-simplify]: Simplify (/ 1 1) into 1
65.367 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.367 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.368 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.368 * [backup-simplify]: Simplify 2.0 into 2.0
65.368 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.368 * [taylor]: Taking taylor expansion of i in alpha
65.368 * [backup-simplify]: Simplify i into i
65.368 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.368 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.368 * [taylor]: Taking taylor expansion of beta in alpha
65.368 * [backup-simplify]: Simplify beta into beta
65.368 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.368 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
65.368 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.368 * [taylor]: Taking taylor expansion of alpha in alpha
65.368 * [backup-simplify]: Simplify 0 into 0
65.368 * [backup-simplify]: Simplify 1 into 1
65.368 * [backup-simplify]: Simplify (/ 1 1) into 1
65.368 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
65.368 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.368 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.368 * [backup-simplify]: Simplify 2.0 into 2.0
65.369 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.369 * [taylor]: Taking taylor expansion of i in alpha
65.369 * [backup-simplify]: Simplify i into i
65.369 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.369 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
65.369 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.369 * [taylor]: Taking taylor expansion of beta in alpha
65.369 * [backup-simplify]: Simplify beta into beta
65.369 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.369 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.369 * [backup-simplify]: Simplify 2.0 into 2.0
65.369 * [backup-simplify]: Simplify (* 1 1) into 1
65.370 * [backup-simplify]: Simplify (+ 1 0) into 1
65.370 * [backup-simplify]: Simplify (+ 1 0) into 1
65.371 * [backup-simplify]: Simplify (* 1 1) into 1
65.371 * [backup-simplify]: Simplify (* 1 1) into 1
65.371 * [backup-simplify]: Simplify (/ 1 1) into 1
65.372 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
65.372 * [backup-simplify]: Simplify (- 1) into -1
65.373 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
65.373 * [taylor]: Taking taylor expansion of 0 in beta
65.373 * [backup-simplify]: Simplify 0 into 0
65.373 * [taylor]: Taking taylor expansion of 0 in i
65.373 * [backup-simplify]: Simplify 0 into 0
65.373 * [backup-simplify]: Simplify 0 into 0
65.373 * [backup-simplify]: Simplify (+ 0 0) into 0
65.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.374 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.374 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
65.374 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
65.374 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
65.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.375 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.375 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.376 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.376 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
65.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.377 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
65.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
65.378 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
65.379 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
65.379 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
65.379 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
65.379 * [taylor]: Taking taylor expansion of 4.0 in beta
65.379 * [backup-simplify]: Simplify 4.0 into 4.0
65.379 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.379 * [taylor]: Taking taylor expansion of i in beta
65.379 * [backup-simplify]: Simplify i into i
65.379 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.379 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
65.379 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
65.379 * [taylor]: Taking taylor expansion of 2 in beta
65.379 * [backup-simplify]: Simplify 2 into 2
65.379 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.379 * [taylor]: Taking taylor expansion of beta in beta
65.379 * [backup-simplify]: Simplify 0 into 0
65.379 * [backup-simplify]: Simplify 1 into 1
65.380 * [backup-simplify]: Simplify (/ 1 1) into 1
65.380 * [taylor]: Taking taylor expansion of 2.0 in beta
65.380 * [backup-simplify]: Simplify 2.0 into 2.0
65.380 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
65.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.381 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
65.382 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.382 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
65.382 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
65.382 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
65.382 * [taylor]: Taking taylor expansion of 4.0 in i
65.382 * [backup-simplify]: Simplify 4.0 into 4.0
65.382 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.382 * [taylor]: Taking taylor expansion of i in i
65.382 * [backup-simplify]: Simplify 0 into 0
65.382 * [backup-simplify]: Simplify 1 into 1
65.383 * [backup-simplify]: Simplify (/ 1 1) into 1
65.383 * [taylor]: Taking taylor expansion of 2.0 in i
65.383 * [backup-simplify]: Simplify 2.0 into 2.0
65.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.384 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
65.385 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.385 * [backup-simplify]: Simplify 2.0 into 2.0
65.385 * [taylor]: Taking taylor expansion of 0 in i
65.385 * [backup-simplify]: Simplify 0 into 0
65.385 * [backup-simplify]: Simplify 0 into 0
65.385 * [backup-simplify]: Simplify 0 into 0
65.385 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
65.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.387 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
65.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
65.387 * [backup-simplify]: Simplify (+ 0 0) into 0
65.388 * [backup-simplify]: Simplify (+ 0 0) into 0
65.388 * [backup-simplify]: Simplify (+ 0 0) into 0
65.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.389 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.389 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
65.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
65.390 * [backup-simplify]: Simplify (+ 0 0) into 0
65.390 * [backup-simplify]: Simplify (+ 0 0) into 0
65.392 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
65.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.395 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
65.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
65.398 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
65.400 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
65.400 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
65.400 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
65.400 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
65.400 * [taylor]: Taking taylor expansion of 2 in beta
65.400 * [backup-simplify]: Simplify 2 into 2
65.400 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
65.400 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.400 * [taylor]: Taking taylor expansion of beta in beta
65.400 * [backup-simplify]: Simplify 0 into 0
65.400 * [backup-simplify]: Simplify 1 into 1
65.401 * [backup-simplify]: Simplify (* 1 1) into 1
65.401 * [backup-simplify]: Simplify (/ 1 1) into 1
65.401 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
65.401 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
65.401 * [taylor]: Taking taylor expansion of 12.0 in beta
65.401 * [backup-simplify]: Simplify 12.0 into 12.0
65.401 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
65.401 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.401 * [taylor]: Taking taylor expansion of i in beta
65.401 * [backup-simplify]: Simplify i into i
65.401 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.402 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
65.402 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
65.402 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
65.402 * [taylor]: Taking taylor expansion of 6.0 in beta
65.402 * [backup-simplify]: Simplify 6.0 into 6.0
65.402 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.402 * [taylor]: Taking taylor expansion of beta in beta
65.402 * [backup-simplify]: Simplify 0 into 0
65.402 * [backup-simplify]: Simplify 1 into 1
65.402 * [backup-simplify]: Simplify (/ 1 1) into 1
65.402 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
65.402 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
65.402 * [taylor]: Taking taylor expansion of 12.0 in beta
65.402 * [backup-simplify]: Simplify 12.0 into 12.0
65.402 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.403 * [taylor]: Taking taylor expansion of i in beta
65.403 * [backup-simplify]: Simplify i into i
65.403 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.403 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
65.403 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
65.403 * [taylor]: Taking taylor expansion of 12.0 in beta
65.403 * [backup-simplify]: Simplify 12.0 into 12.0
65.403 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
65.403 * [taylor]: Taking taylor expansion of (* i beta) in beta
65.403 * [taylor]: Taking taylor expansion of i in beta
65.403 * [backup-simplify]: Simplify i into i
65.403 * [taylor]: Taking taylor expansion of beta in beta
65.403 * [backup-simplify]: Simplify 0 into 0
65.403 * [backup-simplify]: Simplify 1 into 1
65.403 * [backup-simplify]: Simplify (* i 0) into 0
65.403 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
65.403 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.404 * [taylor]: Taking taylor expansion of 4.0 in beta
65.404 * [backup-simplify]: Simplify 4.0 into 4.0
65.404 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.408 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
65.408 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
65.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.410 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
65.410 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
65.410 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
65.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.411 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
65.412 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
65.412 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
65.412 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
65.413 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
65.413 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
65.413 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
65.413 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
65.413 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
65.414 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
65.414 * [taylor]: Taking taylor expansion of 12.0 in i
65.414 * [backup-simplify]: Simplify 12.0 into 12.0
65.414 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
65.414 * [taylor]: Taking taylor expansion of (pow i 2) in i
65.414 * [taylor]: Taking taylor expansion of i in i
65.414 * [backup-simplify]: Simplify 0 into 0
65.414 * [backup-simplify]: Simplify 1 into 1
65.414 * [backup-simplify]: Simplify (* 1 1) into 1
65.415 * [backup-simplify]: Simplify (/ 1 1) into 1
65.415 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
65.415 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
65.415 * [taylor]: Taking taylor expansion of 12.0 in i
65.415 * [backup-simplify]: Simplify 12.0 into 12.0
65.415 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.415 * [taylor]: Taking taylor expansion of i in i
65.415 * [backup-simplify]: Simplify 0 into 0
65.415 * [backup-simplify]: Simplify 1 into 1
65.415 * [backup-simplify]: Simplify (/ 1 1) into 1
65.415 * [taylor]: Taking taylor expansion of 4.0 in i
65.415 * [backup-simplify]: Simplify 4.0 into 4.0
65.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.417 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.419 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
65.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.421 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
65.421 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
65.422 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
65.422 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
65.423 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
65.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.423 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
65.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.425 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
65.426 * [backup-simplify]: Simplify (+ 0 0) into 0
65.426 * [backup-simplify]: Simplify (+ 0 0) into 0
65.426 * [taylor]: Taking taylor expansion of 0 in i
65.426 * [backup-simplify]: Simplify 0 into 0
65.426 * [backup-simplify]: Simplify 0 into 0
65.426 * [taylor]: Taking taylor expansion of 0 in i
65.426 * [backup-simplify]: Simplify 0 into 0
65.426 * [backup-simplify]: Simplify 0 into 0
65.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.428 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
65.428 * [backup-simplify]: Simplify (+ 0 0) into 0
65.428 * [backup-simplify]: Simplify 0 into 0
65.428 * [backup-simplify]: Simplify 0 into 0
65.429 * [backup-simplify]: Simplify 0 into 0
65.429 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
65.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.430 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.430 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.430 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.431 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
65.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.432 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.432 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
65.432 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
65.432 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
65.433 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
65.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
65.435 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
65.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.437 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
65.438 * [backup-simplify]: Simplify (+ 0 0) into 0
65.438 * [backup-simplify]: Simplify (+ 0 0) into 0
65.439 * [backup-simplify]: Simplify (+ 0 0) into 0
65.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.441 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
65.441 * [backup-simplify]: Simplify (+ 0 0) into 0
65.442 * [backup-simplify]: Simplify (+ 0 0) into 0
65.443 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
65.444 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
65.450 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
65.454 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
65.458 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
65.458 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
65.459 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
65.459 * [taylor]: Taking taylor expansion of 20.0 in beta
65.459 * [backup-simplify]: Simplify 20.0 into 20.0
65.459 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
65.459 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
65.459 * [taylor]: Taking taylor expansion of i in beta
65.459 * [backup-simplify]: Simplify i into i
65.459 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.459 * [taylor]: Taking taylor expansion of beta in beta
65.459 * [backup-simplify]: Simplify 0 into 0
65.459 * [backup-simplify]: Simplify 1 into 1
65.459 * [backup-simplify]: Simplify (* 1 1) into 1
65.459 * [backup-simplify]: Simplify (* i 1) into i
65.460 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.460 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
65.460 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
65.460 * [taylor]: Taking taylor expansion of 48.0 in beta
65.460 * [backup-simplify]: Simplify 48.0 into 48.0
65.460 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
65.460 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.460 * [taylor]: Taking taylor expansion of i in beta
65.460 * [backup-simplify]: Simplify i into i
65.460 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.460 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
65.460 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
65.460 * [taylor]: Taking taylor expansion of 8.0 in beta
65.460 * [backup-simplify]: Simplify 8.0 into 8.0
65.460 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
65.460 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
65.460 * [taylor]: Taking taylor expansion of 10.0 in beta
65.460 * [backup-simplify]: Simplify 10.0 into 10.0
65.460 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
65.460 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.460 * [taylor]: Taking taylor expansion of beta in beta
65.460 * [backup-simplify]: Simplify 0 into 0
65.460 * [backup-simplify]: Simplify 1 into 1
65.461 * [backup-simplify]: Simplify (* 1 1) into 1
65.461 * [backup-simplify]: Simplify (/ 1 1) into 1
65.461 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
65.461 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
65.461 * [taylor]: Taking taylor expansion of 48.0 in beta
65.461 * [backup-simplify]: Simplify 48.0 into 48.0
65.462 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
65.462 * [taylor]: Taking taylor expansion of (* i beta) in beta
65.462 * [taylor]: Taking taylor expansion of i in beta
65.462 * [backup-simplify]: Simplify i into i
65.462 * [taylor]: Taking taylor expansion of beta in beta
65.462 * [backup-simplify]: Simplify 0 into 0
65.462 * [backup-simplify]: Simplify 1 into 1
65.462 * [backup-simplify]: Simplify (* i 0) into 0
65.462 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
65.462 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.462 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
65.462 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
65.462 * [taylor]: Taking taylor expansion of 2 in beta
65.462 * [backup-simplify]: Simplify 2 into 2
65.462 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
65.462 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
65.463 * [taylor]: Taking taylor expansion of beta in beta
65.463 * [backup-simplify]: Simplify 0 into 0
65.463 * [backup-simplify]: Simplify 1 into 1
65.463 * [backup-simplify]: Simplify (* 1 1) into 1
65.463 * [backup-simplify]: Simplify (* 1 1) into 1
65.464 * [backup-simplify]: Simplify (/ 1 1) into 1
65.464 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
65.464 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
65.464 * [taylor]: Taking taylor expansion of 48.0 in beta
65.464 * [backup-simplify]: Simplify 48.0 into 48.0
65.464 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
65.464 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
65.464 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.464 * [taylor]: Taking taylor expansion of i in beta
65.464 * [backup-simplify]: Simplify i into i
65.464 * [taylor]: Taking taylor expansion of beta in beta
65.464 * [backup-simplify]: Simplify 0 into 0
65.464 * [backup-simplify]: Simplify 1 into 1
65.464 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.464 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
65.464 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
65.465 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
65.465 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
65.465 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
65.465 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
65.465 * [taylor]: Taking taylor expansion of 32.0 in beta
65.465 * [backup-simplify]: Simplify 32.0 into 32.0
65.465 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.465 * [taylor]: Taking taylor expansion of i in beta
65.465 * [backup-simplify]: Simplify i into i
65.465 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.465 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
65.465 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
65.466 * [taylor]: Taking taylor expansion of 16.0 in beta
65.466 * [backup-simplify]: Simplify 16.0 into 16.0
65.466 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.466 * [taylor]: Taking taylor expansion of beta in beta
65.466 * [backup-simplify]: Simplify 0 into 0
65.466 * [backup-simplify]: Simplify 1 into 1
65.466 * [backup-simplify]: Simplify (/ 1 1) into 1
65.466 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
65.466 * [taylor]: Taking taylor expansion of 32.0 in beta
65.466 * [backup-simplify]: Simplify 32.0 into 32.0
65.466 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
65.466 * [taylor]: Taking taylor expansion of (pow i 3) in beta
65.466 * [taylor]: Taking taylor expansion of i in beta
65.466 * [backup-simplify]: Simplify i into i
65.466 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.466 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
65.467 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
65.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.469 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
65.469 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
65.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.470 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.471 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.471 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
65.472 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.474 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.475 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
65.476 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
65.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.476 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
65.477 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.480 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.481 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.483 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.485 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.486 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
65.487 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
65.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
65.488 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
65.488 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
65.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.496 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
65.497 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
65.497 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
65.497 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
65.498 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
65.498 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
65.499 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
65.499 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
65.499 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
65.500 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
65.501 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
65.501 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
65.501 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
65.501 * [taylor]: Taking taylor expansion of 48.0 in i
65.501 * [backup-simplify]: Simplify 48.0 into 48.0
65.501 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
65.501 * [taylor]: Taking taylor expansion of (pow i 2) in i
65.501 * [taylor]: Taking taylor expansion of i in i
65.501 * [backup-simplify]: Simplify 0 into 0
65.501 * [backup-simplify]: Simplify 1 into 1
65.501 * [backup-simplify]: Simplify (* 1 1) into 1
65.502 * [backup-simplify]: Simplify (/ 1 1) into 1
65.502 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
65.502 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
65.502 * [taylor]: Taking taylor expansion of 32.0 in i
65.502 * [backup-simplify]: Simplify 32.0 into 32.0
65.502 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
65.502 * [taylor]: Taking taylor expansion of (pow i 3) in i
65.502 * [taylor]: Taking taylor expansion of i in i
65.502 * [backup-simplify]: Simplify 0 into 0
65.502 * [backup-simplify]: Simplify 1 into 1
65.503 * [backup-simplify]: Simplify (* 1 1) into 1
65.503 * [backup-simplify]: Simplify (* 1 1) into 1
65.503 * [backup-simplify]: Simplify (/ 1 1) into 1
65.503 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
65.503 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
65.503 * [taylor]: Taking taylor expansion of 32.0 in i
65.504 * [backup-simplify]: Simplify 32.0 into 32.0
65.504 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.504 * [taylor]: Taking taylor expansion of i in i
65.504 * [backup-simplify]: Simplify 0 into 0
65.504 * [backup-simplify]: Simplify 1 into 1
65.504 * [backup-simplify]: Simplify (/ 1 1) into 1
65.504 * [taylor]: Taking taylor expansion of 8.0 in i
65.504 * [backup-simplify]: Simplify 8.0 into 8.0
65.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.508 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
65.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.511 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.514 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.517 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.519 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
65.519 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
65.520 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
65.520 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
65.520 * [backup-simplify]: Simplify 8.0 into 8.0
65.521 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
65.523 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
65.523 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
65.523 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
65.523 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
65.524 * [taylor]: Taking taylor expansion of 1.0 in i
65.524 * [backup-simplify]: Simplify 1.0 into 1.0
65.524 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
65.524 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
65.524 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
65.524 * [taylor]: Taking taylor expansion of alpha in i
65.524 * [backup-simplify]: Simplify alpha into alpha
65.524 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
65.524 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
65.524 * [taylor]: Taking taylor expansion of 2.0 in i
65.524 * [backup-simplify]: Simplify 2.0 into 2.0
65.524 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
65.524 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.524 * [taylor]: Taking taylor expansion of alpha in i
65.524 * [backup-simplify]: Simplify alpha into alpha
65.524 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.524 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
65.524 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.524 * [taylor]: Taking taylor expansion of 2.0 in i
65.524 * [backup-simplify]: Simplify 2.0 into 2.0
65.524 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.524 * [taylor]: Taking taylor expansion of i in i
65.524 * [backup-simplify]: Simplify 0 into 0
65.524 * [backup-simplify]: Simplify 1 into 1
65.525 * [backup-simplify]: Simplify (/ 1 1) into 1
65.525 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.525 * [taylor]: Taking taylor expansion of beta in i
65.525 * [backup-simplify]: Simplify beta into beta
65.525 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.525 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
65.525 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.525 * [taylor]: Taking taylor expansion of alpha in i
65.525 * [backup-simplify]: Simplify alpha into alpha
65.525 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.525 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
65.525 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.525 * [taylor]: Taking taylor expansion of 2.0 in i
65.525 * [backup-simplify]: Simplify 2.0 into 2.0
65.525 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.525 * [taylor]: Taking taylor expansion of i in i
65.525 * [backup-simplify]: Simplify 0 into 0
65.525 * [backup-simplify]: Simplify 1 into 1
65.526 * [backup-simplify]: Simplify (/ 1 1) into 1
65.526 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.526 * [taylor]: Taking taylor expansion of beta in i
65.526 * [backup-simplify]: Simplify beta into beta
65.526 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.526 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
65.526 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.527 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.527 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.528 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
65.529 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
65.529 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.530 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.530 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.531 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
65.531 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
65.531 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
65.531 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
65.531 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
65.531 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
65.531 * [taylor]: Taking taylor expansion of 2.0 in i
65.532 * [backup-simplify]: Simplify 2.0 into 2.0
65.532 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
65.532 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.532 * [taylor]: Taking taylor expansion of alpha in i
65.532 * [backup-simplify]: Simplify alpha into alpha
65.532 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.532 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
65.532 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.532 * [taylor]: Taking taylor expansion of 2.0 in i
65.532 * [backup-simplify]: Simplify 2.0 into 2.0
65.532 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.532 * [taylor]: Taking taylor expansion of i in i
65.532 * [backup-simplify]: Simplify 0 into 0
65.532 * [backup-simplify]: Simplify 1 into 1
65.532 * [backup-simplify]: Simplify (/ 1 1) into 1
65.532 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.532 * [taylor]: Taking taylor expansion of beta in i
65.532 * [backup-simplify]: Simplify beta into beta
65.532 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.533 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
65.533 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
65.533 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.533 * [taylor]: Taking taylor expansion of alpha in i
65.533 * [backup-simplify]: Simplify alpha into alpha
65.533 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.533 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
65.533 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.533 * [taylor]: Taking taylor expansion of 2.0 in i
65.533 * [backup-simplify]: Simplify 2.0 into 2.0
65.533 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.533 * [taylor]: Taking taylor expansion of i in i
65.533 * [backup-simplify]: Simplify 0 into 0
65.533 * [backup-simplify]: Simplify 1 into 1
65.533 * [backup-simplify]: Simplify (/ 1 1) into 1
65.533 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.533 * [taylor]: Taking taylor expansion of beta in i
65.533 * [backup-simplify]: Simplify beta into beta
65.533 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.533 * [taylor]: Taking taylor expansion of (pow beta 2) in i
65.534 * [taylor]: Taking taylor expansion of beta in i
65.534 * [backup-simplify]: Simplify beta into beta
65.534 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.535 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.535 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.535 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
65.536 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
65.537 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.537 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.538 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.538 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.538 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
65.538 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
65.539 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
65.539 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
65.539 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
65.539 * [taylor]: Taking taylor expansion of 1.0 in beta
65.539 * [backup-simplify]: Simplify 1.0 into 1.0
65.539 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
65.539 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
65.539 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
65.539 * [taylor]: Taking taylor expansion of alpha in beta
65.539 * [backup-simplify]: Simplify alpha into alpha
65.539 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
65.539 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
65.539 * [taylor]: Taking taylor expansion of 2.0 in beta
65.539 * [backup-simplify]: Simplify 2.0 into 2.0
65.539 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
65.539 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.539 * [taylor]: Taking taylor expansion of alpha in beta
65.539 * [backup-simplify]: Simplify alpha into alpha
65.539 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.539 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
65.539 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.539 * [taylor]: Taking taylor expansion of 2.0 in beta
65.539 * [backup-simplify]: Simplify 2.0 into 2.0
65.539 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.539 * [taylor]: Taking taylor expansion of i in beta
65.540 * [backup-simplify]: Simplify i into i
65.540 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.540 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.540 * [taylor]: Taking taylor expansion of beta in beta
65.540 * [backup-simplify]: Simplify 0 into 0
65.540 * [backup-simplify]: Simplify 1 into 1
65.540 * [backup-simplify]: Simplify (/ 1 1) into 1
65.540 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
65.540 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.540 * [taylor]: Taking taylor expansion of alpha in beta
65.540 * [backup-simplify]: Simplify alpha into alpha
65.540 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.540 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
65.540 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.540 * [taylor]: Taking taylor expansion of 2.0 in beta
65.540 * [backup-simplify]: Simplify 2.0 into 2.0
65.540 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.540 * [taylor]: Taking taylor expansion of i in beta
65.540 * [backup-simplify]: Simplify i into i
65.541 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.541 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.541 * [taylor]: Taking taylor expansion of beta in beta
65.541 * [backup-simplify]: Simplify 0 into 0
65.541 * [backup-simplify]: Simplify 1 into 1
65.541 * [backup-simplify]: Simplify (/ 1 1) into 1
65.541 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
65.542 * [backup-simplify]: Simplify (+ 0 1) into 1
65.542 * [backup-simplify]: Simplify (+ 0 1) into 1
65.542 * [backup-simplify]: Simplify (- 1) into -1
65.543 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.543 * [backup-simplify]: Simplify (+ 0 1) into 1
65.544 * [backup-simplify]: Simplify (+ 0 1) into 1
65.544 * [backup-simplify]: Simplify (* -1 1) into -1
65.544 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
65.545 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
65.545 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
65.545 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
65.545 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
65.545 * [taylor]: Taking taylor expansion of 2.0 in beta
65.545 * [backup-simplify]: Simplify 2.0 into 2.0
65.545 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
65.545 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.545 * [taylor]: Taking taylor expansion of alpha in beta
65.545 * [backup-simplify]: Simplify alpha into alpha
65.545 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.545 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
65.545 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.545 * [taylor]: Taking taylor expansion of 2.0 in beta
65.545 * [backup-simplify]: Simplify 2.0 into 2.0
65.545 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.545 * [taylor]: Taking taylor expansion of i in beta
65.545 * [backup-simplify]: Simplify i into i
65.545 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.545 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.545 * [taylor]: Taking taylor expansion of beta in beta
65.545 * [backup-simplify]: Simplify 0 into 0
65.545 * [backup-simplify]: Simplify 1 into 1
65.546 * [backup-simplify]: Simplify (/ 1 1) into 1
65.546 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
65.546 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
65.546 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.546 * [taylor]: Taking taylor expansion of alpha in beta
65.546 * [backup-simplify]: Simplify alpha into alpha
65.546 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.546 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
65.546 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.546 * [taylor]: Taking taylor expansion of 2.0 in beta
65.546 * [backup-simplify]: Simplify 2.0 into 2.0
65.546 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.546 * [taylor]: Taking taylor expansion of i in beta
65.546 * [backup-simplify]: Simplify i into i
65.546 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.546 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.546 * [taylor]: Taking taylor expansion of beta in beta
65.546 * [backup-simplify]: Simplify 0 into 0
65.546 * [backup-simplify]: Simplify 1 into 1
65.547 * [backup-simplify]: Simplify (/ 1 1) into 1
65.547 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.547 * [taylor]: Taking taylor expansion of beta in beta
65.547 * [backup-simplify]: Simplify 0 into 0
65.547 * [backup-simplify]: Simplify 1 into 1
65.548 * [backup-simplify]: Simplify (+ 0 1) into 1
65.548 * [backup-simplify]: Simplify (+ 0 1) into 1
65.548 * [backup-simplify]: Simplify (- 1) into -1
65.549 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.549 * [backup-simplify]: Simplify (+ 0 1) into 1
65.550 * [backup-simplify]: Simplify (+ 0 1) into 1
65.550 * [backup-simplify]: Simplify (* 1 1) into 1
65.551 * [backup-simplify]: Simplify (* 1 1) into 1
65.551 * [backup-simplify]: Simplify (* -1 1) into -1
65.552 * [backup-simplify]: Simplify (/ 1 -1) into -1
65.552 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
65.552 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
65.552 * [taylor]: Taking taylor expansion of 1.0 in alpha
65.552 * [backup-simplify]: Simplify 1.0 into 1.0
65.552 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
65.552 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
65.552 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
65.552 * [taylor]: Taking taylor expansion of alpha in alpha
65.552 * [backup-simplify]: Simplify 0 into 0
65.552 * [backup-simplify]: Simplify 1 into 1
65.552 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
65.552 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
65.552 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.552 * [backup-simplify]: Simplify 2.0 into 2.0
65.552 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.552 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.552 * [taylor]: Taking taylor expansion of alpha in alpha
65.552 * [backup-simplify]: Simplify 0 into 0
65.552 * [backup-simplify]: Simplify 1 into 1
65.553 * [backup-simplify]: Simplify (/ 1 1) into 1
65.553 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.553 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.553 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.553 * [backup-simplify]: Simplify 2.0 into 2.0
65.553 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.553 * [taylor]: Taking taylor expansion of i in alpha
65.553 * [backup-simplify]: Simplify i into i
65.553 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.553 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.553 * [taylor]: Taking taylor expansion of beta in alpha
65.553 * [backup-simplify]: Simplify beta into beta
65.553 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.553 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.553 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.553 * [taylor]: Taking taylor expansion of alpha in alpha
65.553 * [backup-simplify]: Simplify 0 into 0
65.553 * [backup-simplify]: Simplify 1 into 1
65.554 * [backup-simplify]: Simplify (/ 1 1) into 1
65.554 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.554 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.554 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.554 * [backup-simplify]: Simplify 2.0 into 2.0
65.554 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.554 * [taylor]: Taking taylor expansion of i in alpha
65.554 * [backup-simplify]: Simplify i into i
65.554 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.554 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.554 * [taylor]: Taking taylor expansion of beta in alpha
65.554 * [backup-simplify]: Simplify beta into beta
65.554 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.555 * [backup-simplify]: Simplify (* 1 1) into 1
65.555 * [backup-simplify]: Simplify (+ 1 0) into 1
65.555 * [backup-simplify]: Simplify (- 1) into -1
65.556 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.556 * [backup-simplify]: Simplify (+ 1 0) into 1
65.557 * [backup-simplify]: Simplify (* -1 1) into -1
65.557 * [backup-simplify]: Simplify (* 1 -1) into -1
65.558 * [backup-simplify]: Simplify (/ 1 -1) into -1
65.558 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
65.558 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
65.558 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
65.558 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.558 * [backup-simplify]: Simplify 2.0 into 2.0
65.558 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.558 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.558 * [taylor]: Taking taylor expansion of alpha in alpha
65.558 * [backup-simplify]: Simplify 0 into 0
65.558 * [backup-simplify]: Simplify 1 into 1
65.558 * [backup-simplify]: Simplify (/ 1 1) into 1
65.558 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.558 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.558 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.558 * [backup-simplify]: Simplify 2.0 into 2.0
65.558 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.558 * [taylor]: Taking taylor expansion of i in alpha
65.558 * [backup-simplify]: Simplify i into i
65.559 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.559 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.559 * [taylor]: Taking taylor expansion of beta in alpha
65.559 * [backup-simplify]: Simplify beta into beta
65.559 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.559 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
65.559 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.559 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.559 * [taylor]: Taking taylor expansion of alpha in alpha
65.559 * [backup-simplify]: Simplify 0 into 0
65.559 * [backup-simplify]: Simplify 1 into 1
65.559 * [backup-simplify]: Simplify (/ 1 1) into 1
65.559 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.559 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.559 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.559 * [backup-simplify]: Simplify 2.0 into 2.0
65.559 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.559 * [taylor]: Taking taylor expansion of i in alpha
65.559 * [backup-simplify]: Simplify i into i
65.560 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.560 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.560 * [taylor]: Taking taylor expansion of beta in alpha
65.560 * [backup-simplify]: Simplify beta into beta
65.560 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.560 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
65.560 * [taylor]: Taking taylor expansion of beta in alpha
65.560 * [backup-simplify]: Simplify beta into beta
65.560 * [backup-simplify]: Simplify (+ 1 0) into 1
65.561 * [backup-simplify]: Simplify (- 1) into -1
65.561 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.561 * [backup-simplify]: Simplify (+ 1 0) into 1
65.562 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.562 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
65.562 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
65.562 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
65.562 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
65.562 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
65.562 * [taylor]: Taking taylor expansion of 1.0 in alpha
65.562 * [backup-simplify]: Simplify 1.0 into 1.0
65.562 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
65.562 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
65.562 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
65.562 * [taylor]: Taking taylor expansion of alpha in alpha
65.563 * [backup-simplify]: Simplify 0 into 0
65.563 * [backup-simplify]: Simplify 1 into 1
65.563 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
65.563 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
65.563 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.563 * [backup-simplify]: Simplify 2.0 into 2.0
65.563 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.563 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.563 * [taylor]: Taking taylor expansion of alpha in alpha
65.563 * [backup-simplify]: Simplify 0 into 0
65.563 * [backup-simplify]: Simplify 1 into 1
65.563 * [backup-simplify]: Simplify (/ 1 1) into 1
65.563 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.563 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.563 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.563 * [backup-simplify]: Simplify 2.0 into 2.0
65.563 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.563 * [taylor]: Taking taylor expansion of i in alpha
65.563 * [backup-simplify]: Simplify i into i
65.564 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.564 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.564 * [taylor]: Taking taylor expansion of beta in alpha
65.564 * [backup-simplify]: Simplify beta into beta
65.564 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.564 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.564 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.564 * [taylor]: Taking taylor expansion of alpha in alpha
65.564 * [backup-simplify]: Simplify 0 into 0
65.564 * [backup-simplify]: Simplify 1 into 1
65.564 * [backup-simplify]: Simplify (/ 1 1) into 1
65.564 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.564 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.564 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.564 * [backup-simplify]: Simplify 2.0 into 2.0
65.564 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.564 * [taylor]: Taking taylor expansion of i in alpha
65.564 * [backup-simplify]: Simplify i into i
65.564 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.565 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.565 * [taylor]: Taking taylor expansion of beta in alpha
65.565 * [backup-simplify]: Simplify beta into beta
65.565 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.565 * [backup-simplify]: Simplify (* 1 1) into 1
65.566 * [backup-simplify]: Simplify (+ 1 0) into 1
65.566 * [backup-simplify]: Simplify (- 1) into -1
65.566 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.567 * [backup-simplify]: Simplify (+ 1 0) into 1
65.567 * [backup-simplify]: Simplify (* -1 1) into -1
65.568 * [backup-simplify]: Simplify (* 1 -1) into -1
65.568 * [backup-simplify]: Simplify (/ 1 -1) into -1
65.568 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
65.568 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
65.568 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
65.568 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.568 * [backup-simplify]: Simplify 2.0 into 2.0
65.568 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.568 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.568 * [taylor]: Taking taylor expansion of alpha in alpha
65.568 * [backup-simplify]: Simplify 0 into 0
65.568 * [backup-simplify]: Simplify 1 into 1
65.569 * [backup-simplify]: Simplify (/ 1 1) into 1
65.569 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.569 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.569 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.569 * [backup-simplify]: Simplify 2.0 into 2.0
65.569 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.569 * [taylor]: Taking taylor expansion of i in alpha
65.569 * [backup-simplify]: Simplify i into i
65.569 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.569 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.569 * [taylor]: Taking taylor expansion of beta in alpha
65.569 * [backup-simplify]: Simplify beta into beta
65.569 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.569 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
65.569 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.569 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.569 * [taylor]: Taking taylor expansion of alpha in alpha
65.569 * [backup-simplify]: Simplify 0 into 0
65.569 * [backup-simplify]: Simplify 1 into 1
65.570 * [backup-simplify]: Simplify (/ 1 1) into 1
65.570 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.570 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.570 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.570 * [backup-simplify]: Simplify 2.0 into 2.0
65.570 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.570 * [taylor]: Taking taylor expansion of i in alpha
65.570 * [backup-simplify]: Simplify i into i
65.570 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.570 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.570 * [taylor]: Taking taylor expansion of beta in alpha
65.570 * [backup-simplify]: Simplify beta into beta
65.570 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.570 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
65.570 * [taylor]: Taking taylor expansion of beta in alpha
65.570 * [backup-simplify]: Simplify beta into beta
65.571 * [backup-simplify]: Simplify (+ 1 0) into 1
65.571 * [backup-simplify]: Simplify (- 1) into -1
65.572 * [backup-simplify]: Simplify (+ 0 -1) into -1
65.572 * [backup-simplify]: Simplify (+ 1 0) into 1
65.572 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.572 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
65.572 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
65.573 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
65.573 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
65.573 * [backup-simplify]: Simplify (+ 0 0) into 0
65.573 * [taylor]: Taking taylor expansion of 0 in beta
65.574 * [backup-simplify]: Simplify 0 into 0
65.574 * [taylor]: Taking taylor expansion of 0 in i
65.574 * [backup-simplify]: Simplify 0 into 0
65.574 * [backup-simplify]: Simplify 0 into 0
65.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.575 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.575 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.575 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.576 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.576 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.576 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.576 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
65.576 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
65.577 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
65.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.578 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
65.579 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
65.579 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
65.579 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
65.579 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
65.579 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
65.579 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
65.580 * [taylor]: Taking taylor expansion of 4.0 in beta
65.580 * [backup-simplify]: Simplify 4.0 into 4.0
65.580 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.580 * [taylor]: Taking taylor expansion of i in beta
65.580 * [backup-simplify]: Simplify i into i
65.580 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.580 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
65.580 * [taylor]: Taking taylor expansion of 2 in beta
65.580 * [backup-simplify]: Simplify 2 into 2
65.580 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.580 * [taylor]: Taking taylor expansion of beta in beta
65.580 * [backup-simplify]: Simplify 0 into 0
65.580 * [backup-simplify]: Simplify 1 into 1
65.580 * [backup-simplify]: Simplify (/ 1 1) into 1
65.580 * [taylor]: Taking taylor expansion of 2.0 in beta
65.580 * [backup-simplify]: Simplify 2.0 into 2.0
65.580 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
65.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.582 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
65.582 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
65.582 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
65.583 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
65.583 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
65.583 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
65.583 * [taylor]: Taking taylor expansion of 4.0 in i
65.583 * [backup-simplify]: Simplify 4.0 into 4.0
65.583 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.583 * [taylor]: Taking taylor expansion of i in i
65.583 * [backup-simplify]: Simplify 0 into 0
65.583 * [backup-simplify]: Simplify 1 into 1
65.584 * [backup-simplify]: Simplify (/ 1 1) into 1
65.584 * [taylor]: Taking taylor expansion of 2.0 in i
65.584 * [backup-simplify]: Simplify 2.0 into 2.0
65.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.585 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
65.585 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
65.586 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
65.587 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
65.587 * [taylor]: Taking taylor expansion of 0 in i
65.587 * [backup-simplify]: Simplify 0 into 0
65.587 * [backup-simplify]: Simplify 0 into 0
65.587 * [backup-simplify]: Simplify 0 into 0
65.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.589 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
65.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
65.589 * [backup-simplify]: Simplify (+ 0 0) into 0
65.589 * [backup-simplify]: Simplify (+ 0 0) into 0
65.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.591 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
65.591 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
65.591 * [backup-simplify]: Simplify (+ 0 0) into 0
65.592 * [backup-simplify]: Simplify (+ 0 0) into 0
65.592 * [backup-simplify]: Simplify (- 0) into 0
65.593 * [backup-simplify]: Simplify (+ 0 0) into 0
65.594 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
65.595 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.597 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
65.599 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
65.600 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
65.600 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
65.601 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
65.601 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
65.602 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
65.602 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
65.602 * [taylor]: Taking taylor expansion of 12.0 in beta
65.602 * [backup-simplify]: Simplify 12.0 into 12.0
65.602 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.602 * [taylor]: Taking taylor expansion of i in beta
65.602 * [backup-simplify]: Simplify i into i
65.602 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.602 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
65.602 * [taylor]: Taking taylor expansion of 6.0 in beta
65.602 * [backup-simplify]: Simplify 6.0 into 6.0
65.602 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.602 * [taylor]: Taking taylor expansion of beta in beta
65.602 * [backup-simplify]: Simplify 0 into 0
65.602 * [backup-simplify]: Simplify 1 into 1
65.603 * [backup-simplify]: Simplify (/ 1 1) into 1
65.603 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
65.603 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
65.603 * [taylor]: Taking taylor expansion of 12.0 in beta
65.603 * [backup-simplify]: Simplify 12.0 into 12.0
65.603 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
65.603 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.603 * [taylor]: Taking taylor expansion of i in beta
65.603 * [backup-simplify]: Simplify i into i
65.603 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.603 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
65.603 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
65.603 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
65.603 * [taylor]: Taking taylor expansion of 12.0 in beta
65.603 * [backup-simplify]: Simplify 12.0 into 12.0
65.603 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
65.603 * [taylor]: Taking taylor expansion of (* i beta) in beta
65.603 * [taylor]: Taking taylor expansion of i in beta
65.603 * [backup-simplify]: Simplify i into i
65.603 * [taylor]: Taking taylor expansion of beta in beta
65.603 * [backup-simplify]: Simplify 0 into 0
65.603 * [backup-simplify]: Simplify 1 into 1
65.603 * [backup-simplify]: Simplify (* i 0) into 0
65.604 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
65.604 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.604 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
65.604 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
65.604 * [taylor]: Taking taylor expansion of 2 in beta
65.604 * [backup-simplify]: Simplify 2 into 2
65.604 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
65.604 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.604 * [taylor]: Taking taylor expansion of beta in beta
65.604 * [backup-simplify]: Simplify 0 into 0
65.604 * [backup-simplify]: Simplify 1 into 1
65.605 * [backup-simplify]: Simplify (* 1 1) into 1
65.605 * [backup-simplify]: Simplify (/ 1 1) into 1
65.605 * [taylor]: Taking taylor expansion of 4.0 in beta
65.605 * [backup-simplify]: Simplify 4.0 into 4.0
65.605 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
65.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.607 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
65.607 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
65.607 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
65.608 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
65.608 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.608 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
65.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.611 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.613 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
65.613 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
65.614 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
65.614 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
65.614 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
65.615 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
65.615 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
65.615 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
65.615 * [taylor]: Taking taylor expansion of 12.0 in i
65.615 * [backup-simplify]: Simplify 12.0 into 12.0
65.615 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.615 * [taylor]: Taking taylor expansion of i in i
65.615 * [backup-simplify]: Simplify 0 into 0
65.615 * [backup-simplify]: Simplify 1 into 1
65.615 * [backup-simplify]: Simplify (/ 1 1) into 1
65.615 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
65.616 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
65.616 * [taylor]: Taking taylor expansion of 12.0 in i
65.616 * [backup-simplify]: Simplify 12.0 into 12.0
65.616 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
65.616 * [taylor]: Taking taylor expansion of (pow i 2) in i
65.616 * [taylor]: Taking taylor expansion of i in i
65.616 * [backup-simplify]: Simplify 0 into 0
65.616 * [backup-simplify]: Simplify 1 into 1
65.616 * [backup-simplify]: Simplify (* 1 1) into 1
65.617 * [backup-simplify]: Simplify (/ 1 1) into 1
65.617 * [taylor]: Taking taylor expansion of 4.0 in i
65.617 * [backup-simplify]: Simplify 4.0 into 4.0
65.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.618 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
65.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.620 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.622 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
65.623 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
65.623 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
65.624 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
65.624 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
65.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.625 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
65.626 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.627 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
65.627 * [backup-simplify]: Simplify (+ 0 0) into 0
65.628 * [backup-simplify]: Simplify (- 0) into 0
65.628 * [backup-simplify]: Simplify (+ 0 0) into 0
65.628 * [taylor]: Taking taylor expansion of 0 in i
65.628 * [backup-simplify]: Simplify 0 into 0
65.628 * [backup-simplify]: Simplify 0 into 0
65.628 * [taylor]: Taking taylor expansion of 0 in i
65.628 * [backup-simplify]: Simplify 0 into 0
65.628 * [backup-simplify]: Simplify 0 into 0
65.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.630 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
65.630 * [backup-simplify]: Simplify (- 0) into 0
65.631 * [backup-simplify]: Simplify (+ 0 0) into 0
65.631 * [backup-simplify]: Simplify 0 into 0
65.631 * [backup-simplify]: Simplify 0 into 0
65.631 * [backup-simplify]: Simplify 0 into 0
65.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.633 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
65.633 * [backup-simplify]: Simplify (+ 0 0) into 0
65.634 * [backup-simplify]: Simplify (+ 0 0) into 0
65.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.636 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
65.636 * [backup-simplify]: Simplify (+ 0 0) into 0
65.637 * [backup-simplify]: Simplify (+ 0 0) into 0
65.637 * [backup-simplify]: Simplify (- 0) into 0
65.637 * [backup-simplify]: Simplify (+ 0 0) into 0
65.639 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
65.640 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.642 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
65.646 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
65.649 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
65.649 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
65.657 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.657 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.657 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.657 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.659 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
65.659 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.660 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.660 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.660 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.660 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
65.660 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
65.661 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
65.662 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
65.663 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
65.667 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
65.667 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
65.667 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
65.667 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
65.667 * [taylor]: Taking taylor expansion of 20.0 in beta
65.667 * [backup-simplify]: Simplify 20.0 into 20.0
65.667 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
65.667 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
65.667 * [taylor]: Taking taylor expansion of i in beta
65.667 * [backup-simplify]: Simplify i into i
65.667 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.667 * [taylor]: Taking taylor expansion of beta in beta
65.667 * [backup-simplify]: Simplify 0 into 0
65.667 * [backup-simplify]: Simplify 1 into 1
65.668 * [backup-simplify]: Simplify (* 1 1) into 1
65.668 * [backup-simplify]: Simplify (* i 1) into i
65.668 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.668 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
65.668 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
65.668 * [taylor]: Taking taylor expansion of 2 in beta
65.668 * [backup-simplify]: Simplify 2 into 2
65.668 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
65.668 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
65.668 * [taylor]: Taking taylor expansion of beta in beta
65.668 * [backup-simplify]: Simplify 0 into 0
65.668 * [backup-simplify]: Simplify 1 into 1
65.668 * [backup-simplify]: Simplify (* 1 1) into 1
65.669 * [backup-simplify]: Simplify (* 1 1) into 1
65.669 * [backup-simplify]: Simplify (/ 1 1) into 1
65.669 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
65.669 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
65.669 * [taylor]: Taking taylor expansion of 48.0 in beta
65.669 * [backup-simplify]: Simplify 48.0 into 48.0
65.669 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
65.669 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
65.669 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.669 * [taylor]: Taking taylor expansion of i in beta
65.669 * [backup-simplify]: Simplify i into i
65.669 * [taylor]: Taking taylor expansion of beta in beta
65.670 * [backup-simplify]: Simplify 0 into 0
65.670 * [backup-simplify]: Simplify 1 into 1
65.670 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.670 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
65.670 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
65.671 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
65.671 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
65.671 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
65.671 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
65.671 * [taylor]: Taking taylor expansion of 32.0 in beta
65.671 * [backup-simplify]: Simplify 32.0 into 32.0
65.671 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.671 * [taylor]: Taking taylor expansion of i in beta
65.671 * [backup-simplify]: Simplify i into i
65.671 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.671 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
65.671 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
65.671 * [taylor]: Taking taylor expansion of 16.0 in beta
65.671 * [backup-simplify]: Simplify 16.0 into 16.0
65.671 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.671 * [taylor]: Taking taylor expansion of beta in beta
65.671 * [backup-simplify]: Simplify 0 into 0
65.671 * [backup-simplify]: Simplify 1 into 1
65.672 * [backup-simplify]: Simplify (/ 1 1) into 1
65.672 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
65.672 * [taylor]: Taking taylor expansion of 32.0 in beta
65.672 * [backup-simplify]: Simplify 32.0 into 32.0
65.672 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
65.672 * [taylor]: Taking taylor expansion of (pow i 3) in beta
65.672 * [taylor]: Taking taylor expansion of i in beta
65.672 * [backup-simplify]: Simplify i into i
65.672 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.672 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
65.672 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
65.672 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
65.673 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
65.673 * [taylor]: Taking taylor expansion of 10.0 in beta
65.673 * [backup-simplify]: Simplify 10.0 into 10.0
65.673 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
65.673 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.673 * [taylor]: Taking taylor expansion of beta in beta
65.673 * [backup-simplify]: Simplify 0 into 0
65.673 * [backup-simplify]: Simplify 1 into 1
65.673 * [backup-simplify]: Simplify (* 1 1) into 1
65.673 * [backup-simplify]: Simplify (/ 1 1) into 1
65.674 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
65.674 * [taylor]: Taking taylor expansion of 8.0 in beta
65.674 * [backup-simplify]: Simplify 8.0 into 8.0
65.674 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
65.674 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
65.674 * [taylor]: Taking taylor expansion of 48.0 in beta
65.674 * [backup-simplify]: Simplify 48.0 into 48.0
65.674 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
65.674 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.674 * [taylor]: Taking taylor expansion of i in beta
65.674 * [backup-simplify]: Simplify i into i
65.674 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.674 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
65.674 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
65.674 * [taylor]: Taking taylor expansion of 48.0 in beta
65.674 * [backup-simplify]: Simplify 48.0 into 48.0
65.674 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
65.674 * [taylor]: Taking taylor expansion of (* i beta) in beta
65.674 * [taylor]: Taking taylor expansion of i in beta
65.674 * [backup-simplify]: Simplify i into i
65.674 * [taylor]: Taking taylor expansion of beta in beta
65.674 * [backup-simplify]: Simplify 0 into 0
65.674 * [backup-simplify]: Simplify 1 into 1
65.674 * [backup-simplify]: Simplify (* i 0) into 0
65.675 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
65.675 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.677 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
65.678 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
65.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.679 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.681 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.683 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.688 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.688 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
65.689 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
65.690 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
65.690 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
65.690 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
65.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.692 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
65.692 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
65.692 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
65.693 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
65.693 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
65.693 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
65.694 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
65.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.698 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
65.698 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
65.699 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
65.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.700 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
65.700 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
65.700 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
65.701 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
65.701 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
65.702 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
65.702 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
65.702 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
65.702 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
65.702 * [taylor]: Taking taylor expansion of 32.0 in i
65.702 * [backup-simplify]: Simplify 32.0 into 32.0
65.702 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.702 * [taylor]: Taking taylor expansion of i in i
65.702 * [backup-simplify]: Simplify 0 into 0
65.702 * [backup-simplify]: Simplify 1 into 1
65.702 * [backup-simplify]: Simplify (/ 1 1) into 1
65.702 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
65.702 * [taylor]: Taking taylor expansion of 32.0 in i
65.702 * [backup-simplify]: Simplify 32.0 into 32.0
65.703 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
65.703 * [taylor]: Taking taylor expansion of (pow i 3) in i
65.703 * [taylor]: Taking taylor expansion of i in i
65.703 * [backup-simplify]: Simplify 0 into 0
65.703 * [backup-simplify]: Simplify 1 into 1
65.703 * [backup-simplify]: Simplify (* 1 1) into 1
65.703 * [backup-simplify]: Simplify (* 1 1) into 1
65.704 * [backup-simplify]: Simplify (/ 1 1) into 1
65.704 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
65.704 * [taylor]: Taking taylor expansion of 8.0 in i
65.704 * [backup-simplify]: Simplify 8.0 into 8.0
65.704 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
65.704 * [taylor]: Taking taylor expansion of 48.0 in i
65.704 * [backup-simplify]: Simplify 48.0 into 48.0
65.704 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
65.704 * [taylor]: Taking taylor expansion of (pow i 2) in i
65.704 * [taylor]: Taking taylor expansion of i in i
65.704 * [backup-simplify]: Simplify 0 into 0
65.704 * [backup-simplify]: Simplify 1 into 1
65.704 * [backup-simplify]: Simplify (* 1 1) into 1
65.705 * [backup-simplify]: Simplify (/ 1 1) into 1
65.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.706 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
65.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.708 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.710 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.710 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.712 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.715 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
65.715 * [backup-simplify]: Simplify (+ 0 0) into 0
65.716 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.717 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.719 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
65.720 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
65.720 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
65.721 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
65.721 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
65.723 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
65.724 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 1 1)
65.725 * [backup-simplify]: Simplify (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) into (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))))
65.725 * [approximate]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in (alpha beta i) around 0
65.725 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in i
65.725 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in i
65.725 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
65.725 * [taylor]: Taking taylor expansion of (pow beta 2) in i
65.725 * [taylor]: Taking taylor expansion of beta in i
65.725 * [backup-simplify]: Simplify beta into beta
65.725 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
65.725 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
65.725 * [taylor]: Taking taylor expansion of alpha in i
65.725 * [backup-simplify]: Simplify alpha into alpha
65.725 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
65.725 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.725 * [taylor]: Taking taylor expansion of 2.0 in i
65.725 * [backup-simplify]: Simplify 2.0 into 2.0
65.725 * [taylor]: Taking taylor expansion of i in i
65.725 * [backup-simplify]: Simplify 0 into 0
65.725 * [backup-simplify]: Simplify 1 into 1
65.725 * [taylor]: Taking taylor expansion of beta in i
65.725 * [backup-simplify]: Simplify beta into beta
65.725 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
65.725 * [taylor]: Taking taylor expansion of alpha in i
65.725 * [backup-simplify]: Simplify alpha into alpha
65.725 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
65.725 * [taylor]: Taking taylor expansion of 2.0 in i
65.725 * [backup-simplify]: Simplify 2.0 into 2.0
65.725 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
65.725 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.725 * [taylor]: Taking taylor expansion of 2.0 in i
65.725 * [backup-simplify]: Simplify 2.0 into 2.0
65.725 * [taylor]: Taking taylor expansion of i in i
65.726 * [backup-simplify]: Simplify 0 into 0
65.726 * [backup-simplify]: Simplify 1 into 1
65.726 * [taylor]: Taking taylor expansion of beta in i
65.726 * [backup-simplify]: Simplify beta into beta
65.726 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.726 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.726 * [backup-simplify]: Simplify (+ 0 beta) into beta
65.726 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
65.727 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.727 * [backup-simplify]: Simplify (+ 0 beta) into beta
65.727 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
65.727 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
65.727 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
65.727 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow beta 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
65.727 * [taylor]: Taking taylor expansion of 1.0 in i
65.727 * [backup-simplify]: Simplify 1.0 into 1.0
65.727 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in i
65.728 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
65.728 * [taylor]: Taking taylor expansion of alpha in i
65.728 * [backup-simplify]: Simplify alpha into alpha
65.728 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in i
65.728 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in i
65.728 * [taylor]: Taking taylor expansion of alpha in i
65.728 * [backup-simplify]: Simplify alpha into alpha
65.728 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
65.728 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.728 * [taylor]: Taking taylor expansion of 2.0 in i
65.728 * [backup-simplify]: Simplify 2.0 into 2.0
65.728 * [taylor]: Taking taylor expansion of i in i
65.728 * [backup-simplify]: Simplify 0 into 0
65.728 * [backup-simplify]: Simplify 1 into 1
65.728 * [taylor]: Taking taylor expansion of beta in i
65.728 * [backup-simplify]: Simplify beta into beta
65.728 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in i
65.728 * [taylor]: Taking taylor expansion of alpha in i
65.728 * [backup-simplify]: Simplify alpha into alpha
65.728 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in i
65.728 * [taylor]: Taking taylor expansion of 2.0 in i
65.728 * [backup-simplify]: Simplify 2.0 into 2.0
65.728 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in i
65.728 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.728 * [taylor]: Taking taylor expansion of 2.0 in i
65.728 * [backup-simplify]: Simplify 2.0 into 2.0
65.728 * [taylor]: Taking taylor expansion of i in i
65.728 * [backup-simplify]: Simplify 0 into 0
65.728 * [backup-simplify]: Simplify 1 into 1
65.728 * [taylor]: Taking taylor expansion of beta in i
65.728 * [backup-simplify]: Simplify beta into beta
65.728 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
65.729 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.729 * [backup-simplify]: Simplify (+ 0 beta) into beta
65.729 * [backup-simplify]: Simplify (+ alpha beta) into (+ alpha beta)
65.729 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.729 * [backup-simplify]: Simplify (+ 0 beta) into beta
65.730 * [backup-simplify]: Simplify (+ 2.0 beta) into (+ beta 2.0)
65.730 * [backup-simplify]: Simplify (+ alpha (+ beta 2.0)) into (+ alpha (+ beta 2.0))
65.730 * [backup-simplify]: Simplify (* (+ alpha beta) (+ alpha (+ beta 2.0))) into (* (+ alpha beta) (+ alpha (+ beta 2.0)))
65.730 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0)))) into (/ (pow alpha 2) (* (+ alpha beta) (+ alpha (+ beta 2.0))))
65.730 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in beta
65.730 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in beta
65.730 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
65.730 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.731 * [taylor]: Taking taylor expansion of beta in beta
65.731 * [backup-simplify]: Simplify 0 into 0
65.731 * [backup-simplify]: Simplify 1 into 1
65.731 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
65.731 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
65.731 * [taylor]: Taking taylor expansion of alpha in beta
65.731 * [backup-simplify]: Simplify alpha into alpha
65.731 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.731 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.731 * [taylor]: Taking taylor expansion of 2.0 in beta
65.731 * [backup-simplify]: Simplify 2.0 into 2.0
65.731 * [taylor]: Taking taylor expansion of i in beta
65.731 * [backup-simplify]: Simplify i into i
65.731 * [taylor]: Taking taylor expansion of beta in beta
65.731 * [backup-simplify]: Simplify 0 into 0
65.731 * [backup-simplify]: Simplify 1 into 1
65.731 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
65.731 * [taylor]: Taking taylor expansion of alpha in beta
65.731 * [backup-simplify]: Simplify alpha into alpha
65.731 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
65.731 * [taylor]: Taking taylor expansion of 2.0 in beta
65.731 * [backup-simplify]: Simplify 2.0 into 2.0
65.731 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.731 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.731 * [taylor]: Taking taylor expansion of 2.0 in beta
65.731 * [backup-simplify]: Simplify 2.0 into 2.0
65.731 * [taylor]: Taking taylor expansion of i in beta
65.731 * [backup-simplify]: Simplify i into i
65.731 * [taylor]: Taking taylor expansion of beta in beta
65.731 * [backup-simplify]: Simplify 0 into 0
65.731 * [backup-simplify]: Simplify 1 into 1
65.732 * [backup-simplify]: Simplify (* 1 1) into 1
65.732 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.732 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.732 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
65.732 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.732 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.732 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
65.732 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
65.733 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
65.733 * [backup-simplify]: Simplify (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ 1 (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i))))
65.733 * [taylor]: Taking taylor expansion of 1.0 in beta
65.733 * [backup-simplify]: Simplify 1.0 into 1.0
65.733 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in beta
65.733 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
65.733 * [taylor]: Taking taylor expansion of alpha in beta
65.733 * [backup-simplify]: Simplify alpha into alpha
65.733 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in beta
65.733 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in beta
65.733 * [taylor]: Taking taylor expansion of alpha in beta
65.733 * [backup-simplify]: Simplify alpha into alpha
65.733 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.733 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.733 * [taylor]: Taking taylor expansion of 2.0 in beta
65.733 * [backup-simplify]: Simplify 2.0 into 2.0
65.733 * [taylor]: Taking taylor expansion of i in beta
65.733 * [backup-simplify]: Simplify i into i
65.733 * [taylor]: Taking taylor expansion of beta in beta
65.733 * [backup-simplify]: Simplify 0 into 0
65.733 * [backup-simplify]: Simplify 1 into 1
65.733 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in beta
65.733 * [taylor]: Taking taylor expansion of alpha in beta
65.734 * [backup-simplify]: Simplify alpha into alpha
65.734 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in beta
65.734 * [taylor]: Taking taylor expansion of 2.0 in beta
65.734 * [backup-simplify]: Simplify 2.0 into 2.0
65.734 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.734 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.734 * [taylor]: Taking taylor expansion of 2.0 in beta
65.734 * [backup-simplify]: Simplify 2.0 into 2.0
65.734 * [taylor]: Taking taylor expansion of i in beta
65.734 * [backup-simplify]: Simplify i into i
65.734 * [taylor]: Taking taylor expansion of beta in beta
65.734 * [backup-simplify]: Simplify 0 into 0
65.734 * [backup-simplify]: Simplify 1 into 1
65.734 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
65.734 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.734 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.734 * [backup-simplify]: Simplify (+ alpha (* 2.0 i)) into (+ alpha (* 2.0 i))
65.734 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.734 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.734 * [backup-simplify]: Simplify (+ 2.0 (* 2.0 i)) into (+ (* 2.0 i) 2.0)
65.734 * [backup-simplify]: Simplify (+ alpha (+ (* 2.0 i) 2.0)) into (+ alpha (+ (* 2.0 i) 2.0))
65.735 * [backup-simplify]: Simplify (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))) into (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))
65.735 * [backup-simplify]: Simplify (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) 2.0)) (+ alpha (* 2.0 i)))) into (/ (pow alpha 2) (* (+ alpha (* 2.0 i)) (+ alpha (+ (* 2.0 i) 2.0))))
65.735 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
65.735 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
65.735 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
65.735 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
65.735 * [taylor]: Taking taylor expansion of beta in alpha
65.735 * [backup-simplify]: Simplify beta into beta
65.735 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
65.735 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
65.735 * [taylor]: Taking taylor expansion of alpha in alpha
65.735 * [backup-simplify]: Simplify 0 into 0
65.735 * [backup-simplify]: Simplify 1 into 1
65.735 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.736 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.736 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.736 * [backup-simplify]: Simplify 2.0 into 2.0
65.736 * [taylor]: Taking taylor expansion of i in alpha
65.736 * [backup-simplify]: Simplify i into i
65.736 * [taylor]: Taking taylor expansion of beta in alpha
65.736 * [backup-simplify]: Simplify beta into beta
65.736 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
65.736 * [taylor]: Taking taylor expansion of alpha in alpha
65.736 * [backup-simplify]: Simplify 0 into 0
65.736 * [backup-simplify]: Simplify 1 into 1
65.736 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
65.736 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.736 * [backup-simplify]: Simplify 2.0 into 2.0
65.736 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.736 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.736 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.736 * [backup-simplify]: Simplify 2.0 into 2.0
65.736 * [taylor]: Taking taylor expansion of i in alpha
65.736 * [backup-simplify]: Simplify i into i
65.736 * [taylor]: Taking taylor expansion of beta in alpha
65.736 * [backup-simplify]: Simplify beta into beta
65.736 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.736 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.736 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.736 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
65.736 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.737 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.737 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
65.737 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
65.737 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
65.737 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
65.737 * [taylor]: Taking taylor expansion of 1.0 in alpha
65.737 * [backup-simplify]: Simplify 1.0 into 1.0
65.737 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
65.737 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
65.738 * [taylor]: Taking taylor expansion of alpha in alpha
65.738 * [backup-simplify]: Simplify 0 into 0
65.738 * [backup-simplify]: Simplify 1 into 1
65.738 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
65.738 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
65.738 * [taylor]: Taking taylor expansion of alpha in alpha
65.738 * [backup-simplify]: Simplify 0 into 0
65.738 * [backup-simplify]: Simplify 1 into 1
65.738 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.738 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.738 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.738 * [backup-simplify]: Simplify 2.0 into 2.0
65.738 * [taylor]: Taking taylor expansion of i in alpha
65.738 * [backup-simplify]: Simplify i into i
65.738 * [taylor]: Taking taylor expansion of beta in alpha
65.738 * [backup-simplify]: Simplify beta into beta
65.738 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
65.738 * [taylor]: Taking taylor expansion of alpha in alpha
65.738 * [backup-simplify]: Simplify 0 into 0
65.738 * [backup-simplify]: Simplify 1 into 1
65.738 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
65.738 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.738 * [backup-simplify]: Simplify 2.0 into 2.0
65.738 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.738 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.738 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.738 * [backup-simplify]: Simplify 2.0 into 2.0
65.738 * [taylor]: Taking taylor expansion of i in alpha
65.738 * [backup-simplify]: Simplify i into i
65.738 * [taylor]: Taking taylor expansion of beta in alpha
65.738 * [backup-simplify]: Simplify beta into beta
65.739 * [backup-simplify]: Simplify (* 1 1) into 1
65.739 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.739 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.739 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
65.739 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.739 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.739 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
65.740 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
65.740 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
65.740 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
65.740 * [taylor]: Taking taylor expansion of (- (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))))) in alpha
65.740 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) 1.0) in alpha
65.740 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
65.740 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
65.740 * [taylor]: Taking taylor expansion of beta in alpha
65.740 * [backup-simplify]: Simplify beta into beta
65.740 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
65.740 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
65.740 * [taylor]: Taking taylor expansion of alpha in alpha
65.740 * [backup-simplify]: Simplify 0 into 0
65.740 * [backup-simplify]: Simplify 1 into 1
65.740 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.740 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.740 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.741 * [backup-simplify]: Simplify 2.0 into 2.0
65.741 * [taylor]: Taking taylor expansion of i in alpha
65.741 * [backup-simplify]: Simplify i into i
65.741 * [taylor]: Taking taylor expansion of beta in alpha
65.741 * [backup-simplify]: Simplify beta into beta
65.741 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
65.741 * [taylor]: Taking taylor expansion of alpha in alpha
65.741 * [backup-simplify]: Simplify 0 into 0
65.741 * [backup-simplify]: Simplify 1 into 1
65.741 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
65.741 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.741 * [backup-simplify]: Simplify 2.0 into 2.0
65.741 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.741 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.741 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.741 * [backup-simplify]: Simplify 2.0 into 2.0
65.741 * [taylor]: Taking taylor expansion of i in alpha
65.741 * [backup-simplify]: Simplify i into i
65.741 * [taylor]: Taking taylor expansion of beta in alpha
65.741 * [backup-simplify]: Simplify beta into beta
65.741 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.741 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.741 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.741 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
65.741 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.741 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.742 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
65.742 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
65.742 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
65.742 * [backup-simplify]: Simplify (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
65.742 * [taylor]: Taking taylor expansion of 1.0 in alpha
65.742 * [backup-simplify]: Simplify 1.0 into 1.0
65.742 * [taylor]: Taking taylor expansion of (/ (pow alpha 2) (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta))))) in alpha
65.742 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
65.742 * [taylor]: Taking taylor expansion of alpha in alpha
65.743 * [backup-simplify]: Simplify 0 into 0
65.743 * [backup-simplify]: Simplify 1 into 1
65.743 * [taylor]: Taking taylor expansion of (* (+ alpha (+ (* 2.0 i) beta)) (+ alpha (+ 2.0 (+ (* 2.0 i) beta)))) in alpha
65.743 * [taylor]: Taking taylor expansion of (+ alpha (+ (* 2.0 i) beta)) in alpha
65.743 * [taylor]: Taking taylor expansion of alpha in alpha
65.743 * [backup-simplify]: Simplify 0 into 0
65.743 * [backup-simplify]: Simplify 1 into 1
65.743 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.743 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.743 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.743 * [backup-simplify]: Simplify 2.0 into 2.0
65.743 * [taylor]: Taking taylor expansion of i in alpha
65.743 * [backup-simplify]: Simplify i into i
65.743 * [taylor]: Taking taylor expansion of beta in alpha
65.743 * [backup-simplify]: Simplify beta into beta
65.743 * [taylor]: Taking taylor expansion of (+ alpha (+ 2.0 (+ (* 2.0 i) beta))) in alpha
65.743 * [taylor]: Taking taylor expansion of alpha in alpha
65.743 * [backup-simplify]: Simplify 0 into 0
65.743 * [backup-simplify]: Simplify 1 into 1
65.743 * [taylor]: Taking taylor expansion of (+ 2.0 (+ (* 2.0 i) beta)) in alpha
65.743 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.743 * [backup-simplify]: Simplify 2.0 into 2.0
65.743 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in alpha
65.743 * [taylor]: Taking taylor expansion of (* 2.0 i) in alpha
65.743 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.743 * [backup-simplify]: Simplify 2.0 into 2.0
65.743 * [taylor]: Taking taylor expansion of i in alpha
65.743 * [backup-simplify]: Simplify i into i
65.743 * [taylor]: Taking taylor expansion of beta in alpha
65.743 * [backup-simplify]: Simplify beta into beta
65.744 * [backup-simplify]: Simplify (* 1 1) into 1
65.744 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.744 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.744 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) beta)
65.744 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.744 * [backup-simplify]: Simplify (+ (* 2.0 i) beta) into (+ (* 2.0 i) beta)
65.744 * [backup-simplify]: Simplify (+ 2.0 (+ (* 2.0 i) beta)) into (+ (* 2.0 i) (+ beta 2.0))
65.745 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 i) (+ beta 2.0))) into (+ (* 2.0 i) (+ beta 2.0))
65.745 * [backup-simplify]: Simplify (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) into (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))
65.745 * [backup-simplify]: Simplify (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) into (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))
65.745 * [backup-simplify]: Simplify (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
65.746 * [backup-simplify]: Simplify (+ (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) 0) into (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0)
65.746 * [taylor]: Taking taylor expansion of (+ (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) 1.0) in beta
65.746 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
65.746 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.746 * [taylor]: Taking taylor expansion of beta in beta
65.746 * [backup-simplify]: Simplify 0 into 0
65.746 * [backup-simplify]: Simplify 1 into 1
65.746 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
65.746 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.746 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.746 * [taylor]: Taking taylor expansion of 2.0 in beta
65.746 * [backup-simplify]: Simplify 2.0 into 2.0
65.746 * [taylor]: Taking taylor expansion of i in beta
65.746 * [backup-simplify]: Simplify i into i
65.746 * [taylor]: Taking taylor expansion of beta in beta
65.746 * [backup-simplify]: Simplify 0 into 0
65.746 * [backup-simplify]: Simplify 1 into 1
65.746 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.746 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.747 * [taylor]: Taking taylor expansion of 2.0 in beta
65.747 * [backup-simplify]: Simplify 2.0 into 2.0
65.747 * [taylor]: Taking taylor expansion of i in beta
65.747 * [backup-simplify]: Simplify i into i
65.747 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.747 * [taylor]: Taking taylor expansion of beta in beta
65.747 * [backup-simplify]: Simplify 0 into 0
65.747 * [backup-simplify]: Simplify 1 into 1
65.747 * [taylor]: Taking taylor expansion of 2.0 in beta
65.747 * [backup-simplify]: Simplify 2.0 into 2.0
65.747 * [backup-simplify]: Simplify (* 1 1) into 1
65.747 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.747 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.747 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.748 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.748 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.748 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
65.748 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
65.748 * [taylor]: Taking taylor expansion of 1.0 in beta
65.748 * [backup-simplify]: Simplify 1.0 into 1.0
65.749 * [backup-simplify]: Simplify (+ 0 1.0) into 1.0
65.749 * [taylor]: Taking taylor expansion of 1.0 in i
65.749 * [backup-simplify]: Simplify 1.0 into 1.0
65.749 * [backup-simplify]: Simplify 1.0 into 1.0
65.749 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
65.750 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
65.750 * [backup-simplify]: Simplify (+ 0 0) into 0
65.750 * [backup-simplify]: Simplify (+ 0 0) into 0
65.751 * [backup-simplify]: Simplify (+ 1 0) into 1
65.751 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 i)) into 0
65.752 * [backup-simplify]: Simplify (+ 0 0) into 0
65.752 * [backup-simplify]: Simplify (+ 1 0) into 1
65.752 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 1) (* 1 (+ (* 2.0 i) (+ beta 2.0)))) into (+ 2.0 (+ (* 4.0 i) (* 2 beta)))
65.754 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
65.757 * [backup-simplify]: Simplify (+ (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
65.761 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) 0) into (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))))
65.761 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) in beta
65.761 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))) in beta
65.761 * [taylor]: Taking taylor expansion of (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
65.761 * [taylor]: Taking taylor expansion of 4.0 in beta
65.761 * [backup-simplify]: Simplify 4.0 into 4.0
65.761 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
65.761 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
65.761 * [taylor]: Taking taylor expansion of i in beta
65.761 * [backup-simplify]: Simplify i into i
65.761 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.761 * [taylor]: Taking taylor expansion of beta in beta
65.761 * [backup-simplify]: Simplify 0 into 0
65.761 * [backup-simplify]: Simplify 1 into 1
65.761 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
65.761 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
65.761 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.761 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.761 * [taylor]: Taking taylor expansion of 2.0 in beta
65.761 * [backup-simplify]: Simplify 2.0 into 2.0
65.761 * [taylor]: Taking taylor expansion of i in beta
65.761 * [backup-simplify]: Simplify i into i
65.761 * [taylor]: Taking taylor expansion of beta in beta
65.762 * [backup-simplify]: Simplify 0 into 0
65.762 * [backup-simplify]: Simplify 1 into 1
65.762 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.762 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.762 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
65.762 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.762 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.762 * [taylor]: Taking taylor expansion of 2.0 in beta
65.762 * [backup-simplify]: Simplify 2.0 into 2.0
65.762 * [taylor]: Taking taylor expansion of i in beta
65.762 * [backup-simplify]: Simplify i into i
65.762 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.762 * [taylor]: Taking taylor expansion of beta in beta
65.762 * [backup-simplify]: Simplify 0 into 0
65.762 * [backup-simplify]: Simplify 1 into 1
65.762 * [taylor]: Taking taylor expansion of 2.0 in beta
65.762 * [backup-simplify]: Simplify 2.0 into 2.0
65.762 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.763 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.763 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.763 * [backup-simplify]: Simplify (* 1 1) into 1
65.763 * [backup-simplify]: Simplify (* i 1) into i
65.763 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.764 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.764 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.764 * [backup-simplify]: Simplify (/ i (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* i (pow (+ (* 2.0 i) 2.0) 2)))
65.764 * [taylor]: Taking taylor expansion of (+ (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
65.764 * [taylor]: Taking taylor expansion of (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
65.765 * [taylor]: Taking taylor expansion of 2 in beta
65.765 * [backup-simplify]: Simplify 2 into 2
65.765 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
65.765 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
65.765 * [taylor]: Taking taylor expansion of beta in beta
65.765 * [backup-simplify]: Simplify 0 into 0
65.765 * [backup-simplify]: Simplify 1 into 1
65.765 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
65.765 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
65.765 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.765 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.765 * [taylor]: Taking taylor expansion of 2.0 in beta
65.765 * [backup-simplify]: Simplify 2.0 into 2.0
65.765 * [taylor]: Taking taylor expansion of i in beta
65.765 * [backup-simplify]: Simplify i into i
65.765 * [taylor]: Taking taylor expansion of beta in beta
65.765 * [backup-simplify]: Simplify 0 into 0
65.765 * [backup-simplify]: Simplify 1 into 1
65.765 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.765 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.765 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
65.765 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.765 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.765 * [taylor]: Taking taylor expansion of 2.0 in beta
65.765 * [backup-simplify]: Simplify 2.0 into 2.0
65.765 * [taylor]: Taking taylor expansion of i in beta
65.765 * [backup-simplify]: Simplify i into i
65.765 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.765 * [taylor]: Taking taylor expansion of beta in beta
65.765 * [backup-simplify]: Simplify 0 into 0
65.765 * [backup-simplify]: Simplify 1 into 1
65.766 * [taylor]: Taking taylor expansion of 2.0 in beta
65.766 * [backup-simplify]: Simplify 2.0 into 2.0
65.766 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.766 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.766 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.767 * [backup-simplify]: Simplify (* 1 1) into 1
65.767 * [backup-simplify]: Simplify (* 1 1) into 1
65.767 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.767 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.768 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.768 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.768 * [taylor]: Taking taylor expansion of (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
65.768 * [taylor]: Taking taylor expansion of 2.0 in beta
65.768 * [backup-simplify]: Simplify 2.0 into 2.0
65.768 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
65.768 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.768 * [taylor]: Taking taylor expansion of beta in beta
65.768 * [backup-simplify]: Simplify 0 into 0
65.768 * [backup-simplify]: Simplify 1 into 1
65.768 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
65.768 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
65.768 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.768 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.769 * [taylor]: Taking taylor expansion of 2.0 in beta
65.769 * [backup-simplify]: Simplify 2.0 into 2.0
65.769 * [taylor]: Taking taylor expansion of i in beta
65.769 * [backup-simplify]: Simplify i into i
65.769 * [taylor]: Taking taylor expansion of beta in beta
65.769 * [backup-simplify]: Simplify 0 into 0
65.769 * [backup-simplify]: Simplify 1 into 1
65.769 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.769 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.769 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
65.769 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.769 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.769 * [taylor]: Taking taylor expansion of 2.0 in beta
65.769 * [backup-simplify]: Simplify 2.0 into 2.0
65.769 * [taylor]: Taking taylor expansion of i in beta
65.769 * [backup-simplify]: Simplify i into i
65.769 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.769 * [taylor]: Taking taylor expansion of beta in beta
65.769 * [backup-simplify]: Simplify 0 into 0
65.769 * [backup-simplify]: Simplify 1 into 1
65.769 * [taylor]: Taking taylor expansion of 2.0 in beta
65.769 * [backup-simplify]: Simplify 2.0 into 2.0
65.769 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.770 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.770 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.770 * [backup-simplify]: Simplify (* 1 1) into 1
65.770 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.771 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.771 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.771 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.772 * [backup-simplify]: Simplify (+ 0 0) into 0
65.772 * [taylor]: Taking taylor expansion of 0 in i
65.772 * [backup-simplify]: Simplify 0 into 0
65.772 * [backup-simplify]: Simplify 0 into 0
65.772 * [backup-simplify]: Simplify 0 into 0
65.772 * [backup-simplify]: Simplify (+ (* beta 0) (+ (* 0 0) (* 0 beta))) into 0
65.773 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
65.773 * [backup-simplify]: Simplify (+ 0 0) into 0
65.774 * [backup-simplify]: Simplify (+ 0 0) into 0
65.774 * [backup-simplify]: Simplify (+ 0 0) into 0
65.775 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 i))) into 0
65.775 * [backup-simplify]: Simplify (+ 0 0) into 0
65.776 * [backup-simplify]: Simplify (+ 0 0) into 0
65.776 * [backup-simplify]: Simplify (+ (* (+ (* 2.0 i) beta) 0) (+ (* 1 1) (* 0 (+ (* 2.0 i) (+ beta 2.0))))) into 1
65.783 * [backup-simplify]: Simplify (- (/ 0 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (+ (* (/ (pow beta 2) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) (* (- (+ (* 2.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (+ (* 4.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (* 2 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))))) (/ (+ 2.0 (+ (* 4.0 i) (* 2 beta))) (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
65.793 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) 0) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))
65.794 * [backup-simplify]: Simplify (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))))) into (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))
65.803 * [backup-simplify]: Simplify (+ (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) (- (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))))) into (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))))
65.803 * [taylor]: Taking taylor expansion of (- (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))))) in beta
65.803 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))))) in beta
65.803 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.803 * [taylor]: Taking taylor expansion of 16.0 in beta
65.803 * [backup-simplify]: Simplify 16.0 into 16.0
65.803 * [taylor]: Taking taylor expansion of (/ (* (pow i 2) (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.803 * [taylor]: Taking taylor expansion of (* (pow i 2) (pow beta 2)) in beta
65.803 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.803 * [taylor]: Taking taylor expansion of i in beta
65.803 * [backup-simplify]: Simplify i into i
65.804 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.804 * [taylor]: Taking taylor expansion of beta in beta
65.804 * [backup-simplify]: Simplify 0 into 0
65.804 * [backup-simplify]: Simplify 1 into 1
65.804 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.804 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.804 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.804 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.804 * [taylor]: Taking taylor expansion of 2.0 in beta
65.804 * [backup-simplify]: Simplify 2.0 into 2.0
65.804 * [taylor]: Taking taylor expansion of i in beta
65.804 * [backup-simplify]: Simplify i into i
65.804 * [taylor]: Taking taylor expansion of beta in beta
65.804 * [backup-simplify]: Simplify 0 into 0
65.804 * [backup-simplify]: Simplify 1 into 1
65.804 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.804 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.804 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.804 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.804 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.804 * [taylor]: Taking taylor expansion of 2.0 in beta
65.804 * [backup-simplify]: Simplify 2.0 into 2.0
65.804 * [taylor]: Taking taylor expansion of i in beta
65.804 * [backup-simplify]: Simplify i into i
65.804 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.804 * [taylor]: Taking taylor expansion of beta in beta
65.804 * [backup-simplify]: Simplify 0 into 0
65.804 * [backup-simplify]: Simplify 1 into 1
65.804 * [taylor]: Taking taylor expansion of 2.0 in beta
65.804 * [backup-simplify]: Simplify 2.0 into 2.0
65.804 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.805 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.805 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.805 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.806 * [backup-simplify]: Simplify (* 1 1) into 1
65.806 * [backup-simplify]: Simplify (* (pow i 2) 1) into (pow i 2)
65.806 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.806 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.806 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.807 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.807 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.807 * [backup-simplify]: Simplify (/ (pow i 2) (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* i (pow (+ (* 2.0 i) 2.0) 3)))
65.808 * [taylor]: Taking taylor expansion of (+ (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))))) in beta
65.808 * [taylor]: Taking taylor expansion of (* 4 (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.808 * [taylor]: Taking taylor expansion of 4 in beta
65.808 * [backup-simplify]: Simplify 4 into 4
65.808 * [taylor]: Taking taylor expansion of (/ (pow beta 4) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.808 * [taylor]: Taking taylor expansion of (pow beta 4) in beta
65.808 * [taylor]: Taking taylor expansion of beta in beta
65.808 * [backup-simplify]: Simplify 0 into 0
65.808 * [backup-simplify]: Simplify 1 into 1
65.808 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.808 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.808 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.808 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.808 * [taylor]: Taking taylor expansion of 2.0 in beta
65.808 * [backup-simplify]: Simplify 2.0 into 2.0
65.808 * [taylor]: Taking taylor expansion of i in beta
65.808 * [backup-simplify]: Simplify i into i
65.808 * [taylor]: Taking taylor expansion of beta in beta
65.808 * [backup-simplify]: Simplify 0 into 0
65.808 * [backup-simplify]: Simplify 1 into 1
65.808 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.808 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.808 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.808 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.808 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.808 * [taylor]: Taking taylor expansion of 2.0 in beta
65.808 * [backup-simplify]: Simplify 2.0 into 2.0
65.808 * [taylor]: Taking taylor expansion of i in beta
65.808 * [backup-simplify]: Simplify i into i
65.809 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.809 * [taylor]: Taking taylor expansion of beta in beta
65.809 * [backup-simplify]: Simplify 0 into 0
65.809 * [backup-simplify]: Simplify 1 into 1
65.809 * [taylor]: Taking taylor expansion of 2.0 in beta
65.809 * [backup-simplify]: Simplify 2.0 into 2.0
65.809 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.809 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.809 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.810 * [backup-simplify]: Simplify (* 1 1) into 1
65.810 * [backup-simplify]: Simplify (* 1 1) into 1
65.810 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.810 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.811 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.811 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.811 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.812 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.812 * [taylor]: Taking taylor expansion of (+ (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))))) in beta
65.812 * [taylor]: Taking taylor expansion of (* 8.0 (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.812 * [taylor]: Taking taylor expansion of 8.0 in beta
65.812 * [backup-simplify]: Simplify 8.0 into 8.0
65.812 * [taylor]: Taking taylor expansion of (/ (pow beta 3) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.812 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
65.812 * [taylor]: Taking taylor expansion of beta in beta
65.812 * [backup-simplify]: Simplify 0 into 0
65.812 * [backup-simplify]: Simplify 1 into 1
65.812 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.812 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.812 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.812 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.812 * [taylor]: Taking taylor expansion of 2.0 in beta
65.812 * [backup-simplify]: Simplify 2.0 into 2.0
65.812 * [taylor]: Taking taylor expansion of i in beta
65.812 * [backup-simplify]: Simplify i into i
65.812 * [taylor]: Taking taylor expansion of beta in beta
65.812 * [backup-simplify]: Simplify 0 into 0
65.812 * [backup-simplify]: Simplify 1 into 1
65.812 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.812 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.812 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.812 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.812 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.812 * [taylor]: Taking taylor expansion of 2.0 in beta
65.813 * [backup-simplify]: Simplify 2.0 into 2.0
65.813 * [taylor]: Taking taylor expansion of i in beta
65.813 * [backup-simplify]: Simplify i into i
65.813 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.813 * [taylor]: Taking taylor expansion of beta in beta
65.813 * [backup-simplify]: Simplify 0 into 0
65.813 * [backup-simplify]: Simplify 1 into 1
65.813 * [taylor]: Taking taylor expansion of 2.0 in beta
65.813 * [backup-simplify]: Simplify 2.0 into 2.0
65.813 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.813 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.813 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.814 * [backup-simplify]: Simplify (* 1 1) into 1
65.814 * [backup-simplify]: Simplify (* 1 1) into 1
65.814 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.815 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.815 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.815 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.815 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.816 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.816 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))))) in beta
65.816 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.816 * [taylor]: Taking taylor expansion of 16.0 in beta
65.816 * [backup-simplify]: Simplify 16.0 into 16.0
65.816 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 3)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.816 * [taylor]: Taking taylor expansion of (* i (pow beta 3)) in beta
65.816 * [taylor]: Taking taylor expansion of i in beta
65.816 * [backup-simplify]: Simplify i into i
65.816 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
65.816 * [taylor]: Taking taylor expansion of beta in beta
65.816 * [backup-simplify]: Simplify 0 into 0
65.816 * [backup-simplify]: Simplify 1 into 1
65.816 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.816 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.816 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.816 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.816 * [taylor]: Taking taylor expansion of 2.0 in beta
65.816 * [backup-simplify]: Simplify 2.0 into 2.0
65.816 * [taylor]: Taking taylor expansion of i in beta
65.816 * [backup-simplify]: Simplify i into i
65.816 * [taylor]: Taking taylor expansion of beta in beta
65.816 * [backup-simplify]: Simplify 0 into 0
65.816 * [backup-simplify]: Simplify 1 into 1
65.816 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.817 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.817 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.817 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.817 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.817 * [taylor]: Taking taylor expansion of 2.0 in beta
65.817 * [backup-simplify]: Simplify 2.0 into 2.0
65.817 * [taylor]: Taking taylor expansion of i in beta
65.817 * [backup-simplify]: Simplify i into i
65.817 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.817 * [taylor]: Taking taylor expansion of beta in beta
65.817 * [backup-simplify]: Simplify 0 into 0
65.817 * [backup-simplify]: Simplify 1 into 1
65.817 * [taylor]: Taking taylor expansion of 2.0 in beta
65.817 * [backup-simplify]: Simplify 2.0 into 2.0
65.817 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.818 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.818 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.818 * [backup-simplify]: Simplify (* 1 1) into 1
65.818 * [backup-simplify]: Simplify (* 1 1) into 1
65.818 * [backup-simplify]: Simplify (* i 1) into i
65.819 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.819 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.819 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.819 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.820 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.820 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
65.820 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))))) in beta
65.820 * [taylor]: Taking taylor expansion of (* 16.0 (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.820 * [taylor]: Taking taylor expansion of 16.0 in beta
65.820 * [backup-simplify]: Simplify 16.0 into 16.0
65.820 * [taylor]: Taking taylor expansion of (/ (* i (pow beta 2)) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.820 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
65.820 * [taylor]: Taking taylor expansion of i in beta
65.820 * [backup-simplify]: Simplify i into i
65.820 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.820 * [taylor]: Taking taylor expansion of beta in beta
65.820 * [backup-simplify]: Simplify 0 into 0
65.820 * [backup-simplify]: Simplify 1 into 1
65.820 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.820 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.820 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.820 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.820 * [taylor]: Taking taylor expansion of 2.0 in beta
65.820 * [backup-simplify]: Simplify 2.0 into 2.0
65.821 * [taylor]: Taking taylor expansion of i in beta
65.821 * [backup-simplify]: Simplify i into i
65.821 * [taylor]: Taking taylor expansion of beta in beta
65.821 * [backup-simplify]: Simplify 0 into 0
65.821 * [backup-simplify]: Simplify 1 into 1
65.821 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.821 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.821 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.821 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.821 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.821 * [taylor]: Taking taylor expansion of 2.0 in beta
65.821 * [backup-simplify]: Simplify 2.0 into 2.0
65.821 * [taylor]: Taking taylor expansion of i in beta
65.821 * [backup-simplify]: Simplify i into i
65.821 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.821 * [taylor]: Taking taylor expansion of beta in beta
65.821 * [backup-simplify]: Simplify 0 into 0
65.821 * [backup-simplify]: Simplify 1 into 1
65.821 * [taylor]: Taking taylor expansion of 2.0 in beta
65.821 * [backup-simplify]: Simplify 2.0 into 2.0
65.821 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.822 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.822 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.822 * [backup-simplify]: Simplify (* 1 1) into 1
65.822 * [backup-simplify]: Simplify (* i 1) into i
65.822 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.823 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.823 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.823 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.823 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.824 * [backup-simplify]: Simplify (/ i (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 3)))
65.824 * [taylor]: Taking taylor expansion of (* 4.0 (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)))) in beta
65.824 * [taylor]: Taking taylor expansion of 4.0 in beta
65.824 * [backup-simplify]: Simplify 4.0 into 4.0
65.824 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3))) in beta
65.824 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.824 * [taylor]: Taking taylor expansion of beta in beta
65.824 * [backup-simplify]: Simplify 0 into 0
65.824 * [backup-simplify]: Simplify 1 into 1
65.824 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 3) (pow (+ (* 2.0 i) (+ beta 2.0)) 3)) in beta
65.824 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 3) in beta
65.824 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.824 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.824 * [taylor]: Taking taylor expansion of 2.0 in beta
65.824 * [backup-simplify]: Simplify 2.0 into 2.0
65.824 * [taylor]: Taking taylor expansion of i in beta
65.824 * [backup-simplify]: Simplify i into i
65.824 * [taylor]: Taking taylor expansion of beta in beta
65.824 * [backup-simplify]: Simplify 0 into 0
65.824 * [backup-simplify]: Simplify 1 into 1
65.824 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.824 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.825 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 3) in beta
65.825 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.825 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.825 * [taylor]: Taking taylor expansion of 2.0 in beta
65.825 * [backup-simplify]: Simplify 2.0 into 2.0
65.825 * [taylor]: Taking taylor expansion of i in beta
65.825 * [backup-simplify]: Simplify i into i
65.825 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.825 * [taylor]: Taking taylor expansion of beta in beta
65.825 * [backup-simplify]: Simplify 0 into 0
65.825 * [backup-simplify]: Simplify 1 into 1
65.825 * [taylor]: Taking taylor expansion of 2.0 in beta
65.825 * [backup-simplify]: Simplify 2.0 into 2.0
65.825 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.825 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.826 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.826 * [backup-simplify]: Simplify (* 1 1) into 1
65.826 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.826 * [backup-simplify]: Simplify (* (* 2.0 i) (* 4.0 (pow i 2))) into (* 8.0 (pow i 3))
65.826 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.827 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (pow (+ (* 2.0 i) 2.0) 2)) into (pow (+ (* 2.0 i) 2.0) 3)
65.827 * [backup-simplify]: Simplify (* (* 8.0 (pow i 3)) (pow (+ (* 2.0 i) 2.0) 3)) into (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.827 * [backup-simplify]: Simplify (/ 1 (* 8.0 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))) into (/ 0.125 (* (pow i 3) (pow (+ (* 2.0 i) 2.0) 3)))
65.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)))) in beta
65.827 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0)))) in beta
65.827 * [taylor]: Taking taylor expansion of (* (+ (* 2.0 i) beta) (+ (* 2.0 i) (+ beta 2.0))) in beta
65.828 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.828 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.828 * [taylor]: Taking taylor expansion of 2.0 in beta
65.828 * [backup-simplify]: Simplify 2.0 into 2.0
65.828 * [taylor]: Taking taylor expansion of i in beta
65.828 * [backup-simplify]: Simplify i into i
65.828 * [taylor]: Taking taylor expansion of beta in beta
65.828 * [backup-simplify]: Simplify 0 into 0
65.828 * [backup-simplify]: Simplify 1 into 1
65.828 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.828 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.828 * [taylor]: Taking taylor expansion of 2.0 in beta
65.828 * [backup-simplify]: Simplify 2.0 into 2.0
65.828 * [taylor]: Taking taylor expansion of i in beta
65.828 * [backup-simplify]: Simplify i into i
65.828 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.828 * [taylor]: Taking taylor expansion of beta in beta
65.828 * [backup-simplify]: Simplify 0 into 0
65.828 * [backup-simplify]: Simplify 1 into 1
65.828 * [taylor]: Taking taylor expansion of 2.0 in beta
65.828 * [backup-simplify]: Simplify 2.0 into 2.0
65.828 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.828 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.828 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.835 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.835 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.835 * [backup-simplify]: Simplify (* (* 2.0 i) (+ (* 2.0 i) 2.0)) into (* 2.0 (* i (+ (* 2.0 i) 2.0)))
65.835 * [backup-simplify]: Simplify (/ 1 (* 2.0 (* i (+ (* 2.0 i) 2.0)))) into (/ 0.5 (* i (+ (* 2.0 i) 2.0)))
65.836 * [taylor]: Taking taylor expansion of (/ (pow beta 2) (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2))) in beta
65.836 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.836 * [taylor]: Taking taylor expansion of beta in beta
65.836 * [backup-simplify]: Simplify 0 into 0
65.836 * [backup-simplify]: Simplify 1 into 1
65.836 * [taylor]: Taking taylor expansion of (* (pow (+ (* 2.0 i) beta) 2) (pow (+ (* 2.0 i) (+ beta 2.0)) 2)) in beta
65.836 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) beta) 2) in beta
65.836 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) beta) in beta
65.836 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.836 * [taylor]: Taking taylor expansion of 2.0 in beta
65.836 * [backup-simplify]: Simplify 2.0 into 2.0
65.836 * [taylor]: Taking taylor expansion of i in beta
65.836 * [backup-simplify]: Simplify i into i
65.836 * [taylor]: Taking taylor expansion of beta in beta
65.836 * [backup-simplify]: Simplify 0 into 0
65.836 * [backup-simplify]: Simplify 1 into 1
65.836 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.836 * [backup-simplify]: Simplify (+ (* 2.0 i) 0) into (* 2.0 i)
65.836 * [taylor]: Taking taylor expansion of (pow (+ (* 2.0 i) (+ beta 2.0)) 2) in beta
65.836 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) (+ beta 2.0)) in beta
65.836 * [taylor]: Taking taylor expansion of (* 2.0 i) in beta
65.836 * [taylor]: Taking taylor expansion of 2.0 in beta
65.836 * [backup-simplify]: Simplify 2.0 into 2.0
65.836 * [taylor]: Taking taylor expansion of i in beta
65.836 * [backup-simplify]: Simplify i into i
65.836 * [taylor]: Taking taylor expansion of (+ beta 2.0) in beta
65.836 * [taylor]: Taking taylor expansion of beta in beta
65.836 * [backup-simplify]: Simplify 0 into 0
65.836 * [backup-simplify]: Simplify 1 into 1
65.837 * [taylor]: Taking taylor expansion of 2.0 in beta
65.837 * [backup-simplify]: Simplify 2.0 into 2.0
65.837 * [backup-simplify]: Simplify (* 2.0 i) into (* 2.0 i)
65.838 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.838 * [backup-simplify]: Simplify (+ (* 2.0 i) 2.0) into (+ (* 2.0 i) 2.0)
65.838 * [backup-simplify]: Simplify (* 1 1) into 1
65.838 * [backup-simplify]: Simplify (* (* 2.0 i) (* 2.0 i)) into (* 4.0 (pow i 2))
65.838 * [backup-simplify]: Simplify (* (+ (* 2.0 i) 2.0) (+ (* 2.0 i) 2.0)) into (pow (+ (* 2.0 i) 2.0) 2)
65.839 * [backup-simplify]: Simplify (* (* 4.0 (pow i 2)) (pow (+ (* 2.0 i) 2.0) 2)) into (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.839 * [backup-simplify]: Simplify (/ 1 (* 4.0 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))) into (/ 0.25 (* (pow i 2) (pow (+ (* 2.0 i) 2.0) 2)))
65.839 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
65.840 * [backup-simplify]: Simplify (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
65.840 * [backup-simplify]: Simplify (+ 0 (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))) into (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))))
65.840 * [taylor]: Taking taylor expansion of (- (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))) in i
65.840 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
65.840 * [taylor]: Taking taylor expansion of 0.5 in i
65.840 * [backup-simplify]: Simplify 0.5 into 0.5
65.840 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
65.840 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
65.840 * [taylor]: Taking taylor expansion of i in i
65.840 * [backup-simplify]: Simplify 0 into 0
65.840 * [backup-simplify]: Simplify 1 into 1
65.840 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
65.840 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.840 * [taylor]: Taking taylor expansion of 2.0 in i
65.840 * [backup-simplify]: Simplify 2.0 into 2.0
65.840 * [taylor]: Taking taylor expansion of i in i
65.840 * [backup-simplify]: Simplify 0 into 0
65.840 * [backup-simplify]: Simplify 1 into 1
65.840 * [taylor]: Taking taylor expansion of 2.0 in i
65.840 * [backup-simplify]: Simplify 2.0 into 2.0
65.841 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.841 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.842 * [backup-simplify]: Simplify (* 0 2.0) into 0
65.843 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
65.844 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.846 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
65.846 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
65.847 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
65.847 * [backup-simplify]: Simplify (+ 0 0) into 0
65.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
65.853 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
65.855 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
65.856 * [backup-simplify]: Simplify (- (- 0.25)) into 0.25
65.856 * [backup-simplify]: Simplify 0.25 into 0.25
65.856 * [backup-simplify]: Simplify (+ (/ 0.5 (* i (+ (* 2.0 i) 2.0))) 0) into (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0))))
65.856 * [taylor]: Taking taylor expansion of (* 0.5 (/ 1 (* i (+ (* 2.0 i) 2.0)))) in i
65.856 * [taylor]: Taking taylor expansion of 0.5 in i
65.857 * [backup-simplify]: Simplify 0.5 into 0.5
65.857 * [taylor]: Taking taylor expansion of (/ 1 (* i (+ (* 2.0 i) 2.0))) in i
65.857 * [taylor]: Taking taylor expansion of (* i (+ (* 2.0 i) 2.0)) in i
65.857 * [taylor]: Taking taylor expansion of i in i
65.857 * [backup-simplify]: Simplify 0 into 0
65.857 * [backup-simplify]: Simplify 1 into 1
65.857 * [taylor]: Taking taylor expansion of (+ (* 2.0 i) 2.0) in i
65.857 * [taylor]: Taking taylor expansion of (* 2.0 i) in i
65.857 * [taylor]: Taking taylor expansion of 2.0 in i
65.857 * [backup-simplify]: Simplify 2.0 into 2.0
65.857 * [taylor]: Taking taylor expansion of i in i
65.857 * [backup-simplify]: Simplify 0 into 0
65.857 * [backup-simplify]: Simplify 1 into 1
65.857 * [taylor]: Taking taylor expansion of 2.0 in i
65.857 * [backup-simplify]: Simplify 2.0 into 2.0
65.857 * [backup-simplify]: Simplify (* 2.0 0) into 0
65.858 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.858 * [backup-simplify]: Simplify (* 0 2.0) into 0
65.860 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0
65.860 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.862 * [backup-simplify]: Simplify (+ (* 0 2.0) (* 1 2.0)) into 2.0
65.862 * [backup-simplify]: Simplify (/ 1 2.0) into 0.5
65.863 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0
65.863 * [backup-simplify]: Simplify (+ 0 0) into 0
65.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 2.0) (* 0 2.0))) into 2.0
65.868 * [backup-simplify]: Simplify (- (+ (* 0.5 (/ 2.0 2.0)))) into (- 0.5)
65.870 * [backup-simplify]: Simplify (+ (* 0.5 (- 0.5)) (* 0 0.5)) into (- 0.25)
65.871 * [backup-simplify]: Simplify (- 0.25) into (- 0.25)
65.871 * [backup-simplify]: Simplify (+ (* (- 0.25) (pow (* 1 (* beta 1)) 2)) (+ (* 0.25 (pow (* 1 (* 1 alpha)) 2)) 1.0)) into (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
65.873 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 alpha) (/ 1 beta)) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0))) (/ (/ (- (/ 1 beta) (/ 1 alpha)) (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i)))) (sqrt (+ (+ (+ (/ 1 alpha) (/ 1 beta)) (* 2.0 (/ 1 i))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))))
65.873 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in (alpha beta i) around 0
65.873 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in i
65.873 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
65.873 * [taylor]: Taking taylor expansion of 1.0 in i
65.873 * [backup-simplify]: Simplify 1.0 into 1.0
65.873 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
65.873 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
65.873 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
65.873 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.873 * [taylor]: Taking taylor expansion of alpha in i
65.874 * [backup-simplify]: Simplify alpha into alpha
65.874 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.874 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
65.874 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.874 * [taylor]: Taking taylor expansion of 2.0 in i
65.874 * [backup-simplify]: Simplify 2.0 into 2.0
65.874 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.874 * [taylor]: Taking taylor expansion of i in i
65.874 * [backup-simplify]: Simplify 0 into 0
65.874 * [backup-simplify]: Simplify 1 into 1
65.874 * [backup-simplify]: Simplify (/ 1 1) into 1
65.874 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
65.874 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.874 * [taylor]: Taking taylor expansion of beta in i
65.874 * [backup-simplify]: Simplify beta into beta
65.875 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.875 * [taylor]: Taking taylor expansion of 2.0 in i
65.875 * [backup-simplify]: Simplify 2.0 into 2.0
65.875 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
65.875 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
65.875 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.875 * [taylor]: Taking taylor expansion of alpha in i
65.875 * [backup-simplify]: Simplify alpha into alpha
65.875 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.875 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
65.875 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.875 * [taylor]: Taking taylor expansion of 2.0 in i
65.875 * [backup-simplify]: Simplify 2.0 into 2.0
65.875 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.875 * [taylor]: Taking taylor expansion of i in i
65.875 * [backup-simplify]: Simplify 0 into 0
65.875 * [backup-simplify]: Simplify 1 into 1
65.875 * [backup-simplify]: Simplify (/ 1 1) into 1
65.875 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.875 * [taylor]: Taking taylor expansion of beta in i
65.876 * [backup-simplify]: Simplify beta into beta
65.876 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.876 * [taylor]: Taking taylor expansion of (pow beta 2) in i
65.876 * [taylor]: Taking taylor expansion of beta in i
65.876 * [backup-simplify]: Simplify beta into beta
65.876 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.877 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.877 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.877 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.881 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.881 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.881 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.881 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
65.881 * [backup-simplify]: Simplify (* 2.0 (* 2.0 (pow beta 2))) into (* 4.0 (pow beta 2))
65.882 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow beta 2))) into (/ 0.25 (pow beta 2))
65.882 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in i
65.882 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in i
65.882 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
65.882 * [taylor]: Taking taylor expansion of alpha in i
65.882 * [backup-simplify]: Simplify alpha into alpha
65.882 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in i
65.882 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
65.882 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.882 * [taylor]: Taking taylor expansion of alpha in i
65.882 * [backup-simplify]: Simplify alpha into alpha
65.882 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.882 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
65.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.882 * [taylor]: Taking taylor expansion of 2.0 in i
65.882 * [backup-simplify]: Simplify 2.0 into 2.0
65.882 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.882 * [taylor]: Taking taylor expansion of i in i
65.882 * [backup-simplify]: Simplify 0 into 0
65.882 * [backup-simplify]: Simplify 1 into 1
65.883 * [backup-simplify]: Simplify (/ 1 1) into 1
65.883 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.883 * [taylor]: Taking taylor expansion of beta in i
65.883 * [backup-simplify]: Simplify beta into beta
65.883 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.883 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in i
65.883 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
65.883 * [taylor]: Taking taylor expansion of alpha in i
65.883 * [backup-simplify]: Simplify alpha into alpha
65.883 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.883 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in i
65.883 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
65.883 * [taylor]: Taking taylor expansion of 2.0 in i
65.883 * [backup-simplify]: Simplify 2.0 into 2.0
65.883 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.883 * [taylor]: Taking taylor expansion of i in i
65.883 * [backup-simplify]: Simplify 0 into 0
65.883 * [backup-simplify]: Simplify 1 into 1
65.884 * [backup-simplify]: Simplify (/ 1 1) into 1
65.884 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in i
65.884 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
65.884 * [taylor]: Taking taylor expansion of beta in i
65.884 * [backup-simplify]: Simplify beta into beta
65.884 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.884 * [taylor]: Taking taylor expansion of 2.0 in i
65.884 * [backup-simplify]: Simplify 2.0 into 2.0
65.884 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
65.885 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.885 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.885 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.886 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
65.886 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
65.887 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.887 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0
65.887 * [backup-simplify]: Simplify (* (pow alpha 2) 4.0) into (* 4.0 (pow alpha 2))
65.888 * [backup-simplify]: Simplify (/ 1 (* 4.0 (pow alpha 2))) into (/ 0.25 (pow alpha 2))
65.888 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in beta
65.888 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
65.888 * [taylor]: Taking taylor expansion of 1.0 in beta
65.888 * [backup-simplify]: Simplify 1.0 into 1.0
65.888 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
65.888 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
65.888 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
65.888 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.888 * [taylor]: Taking taylor expansion of alpha in beta
65.888 * [backup-simplify]: Simplify alpha into alpha
65.888 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.888 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
65.888 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.888 * [taylor]: Taking taylor expansion of 2.0 in beta
65.888 * [backup-simplify]: Simplify 2.0 into 2.0
65.888 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.888 * [taylor]: Taking taylor expansion of i in beta
65.888 * [backup-simplify]: Simplify i into i
65.888 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.888 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
65.888 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.888 * [taylor]: Taking taylor expansion of beta in beta
65.888 * [backup-simplify]: Simplify 0 into 0
65.888 * [backup-simplify]: Simplify 1 into 1
65.889 * [backup-simplify]: Simplify (/ 1 1) into 1
65.889 * [taylor]: Taking taylor expansion of 2.0 in beta
65.889 * [backup-simplify]: Simplify 2.0 into 2.0
65.889 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
65.889 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
65.889 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.889 * [taylor]: Taking taylor expansion of alpha in beta
65.889 * [backup-simplify]: Simplify alpha into alpha
65.889 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.889 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
65.889 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.889 * [taylor]: Taking taylor expansion of 2.0 in beta
65.889 * [backup-simplify]: Simplify 2.0 into 2.0
65.889 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.889 * [taylor]: Taking taylor expansion of i in beta
65.889 * [backup-simplify]: Simplify i into i
65.889 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.889 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.889 * [taylor]: Taking taylor expansion of beta in beta
65.889 * [backup-simplify]: Simplify 0 into 0
65.889 * [backup-simplify]: Simplify 1 into 1
65.890 * [backup-simplify]: Simplify (/ 1 1) into 1
65.890 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.890 * [taylor]: Taking taylor expansion of beta in beta
65.890 * [backup-simplify]: Simplify 0 into 0
65.890 * [backup-simplify]: Simplify 1 into 1
65.890 * [backup-simplify]: Simplify (+ 1 0) into 1
65.891 * [backup-simplify]: Simplify (+ 0 1) into 1
65.891 * [backup-simplify]: Simplify (+ 0 1) into 1
65.892 * [backup-simplify]: Simplify (+ 0 1) into 1
65.892 * [backup-simplify]: Simplify (+ 0 1) into 1
65.892 * [backup-simplify]: Simplify (* 1 1) into 1
65.893 * [backup-simplify]: Simplify (* 1 1) into 1
65.893 * [backup-simplify]: Simplify (* 1 1) into 1
65.894 * [backup-simplify]: Simplify (/ 1 1) into 1
65.894 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in beta
65.894 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in beta
65.894 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
65.894 * [taylor]: Taking taylor expansion of alpha in beta
65.894 * [backup-simplify]: Simplify alpha into alpha
65.894 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in beta
65.894 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
65.894 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.894 * [taylor]: Taking taylor expansion of alpha in beta
65.894 * [backup-simplify]: Simplify alpha into alpha
65.894 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.894 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
65.894 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.894 * [taylor]: Taking taylor expansion of 2.0 in beta
65.894 * [backup-simplify]: Simplify 2.0 into 2.0
65.894 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.894 * [taylor]: Taking taylor expansion of i in beta
65.894 * [backup-simplify]: Simplify i into i
65.894 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.894 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.894 * [taylor]: Taking taylor expansion of beta in beta
65.894 * [backup-simplify]: Simplify 0 into 0
65.894 * [backup-simplify]: Simplify 1 into 1
65.895 * [backup-simplify]: Simplify (/ 1 1) into 1
65.895 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in beta
65.895 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
65.895 * [taylor]: Taking taylor expansion of alpha in beta
65.895 * [backup-simplify]: Simplify alpha into alpha
65.895 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
65.895 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in beta
65.895 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
65.895 * [taylor]: Taking taylor expansion of 2.0 in beta
65.895 * [backup-simplify]: Simplify 2.0 into 2.0
65.895 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.895 * [taylor]: Taking taylor expansion of i in beta
65.895 * [backup-simplify]: Simplify i into i
65.895 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.895 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in beta
65.895 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.895 * [taylor]: Taking taylor expansion of beta in beta
65.895 * [backup-simplify]: Simplify 0 into 0
65.895 * [backup-simplify]: Simplify 1 into 1
65.896 * [backup-simplify]: Simplify (/ 1 1) into 1
65.896 * [taylor]: Taking taylor expansion of 2.0 in beta
65.896 * [backup-simplify]: Simplify 2.0 into 2.0
65.896 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
65.896 * [backup-simplify]: Simplify (+ 0 1) into 1
65.897 * [backup-simplify]: Simplify (+ 0 1) into 1
65.897 * [backup-simplify]: Simplify (+ 1 0) into 1
65.897 * [backup-simplify]: Simplify (+ 0 1) into 1
65.898 * [backup-simplify]: Simplify (+ 0 1) into 1
65.898 * [backup-simplify]: Simplify (* 1 1) into 1
65.899 * [backup-simplify]: Simplify (* (pow alpha 2) 1) into (pow alpha 2)
65.899 * [backup-simplify]: Simplify (/ 1 (pow alpha 2)) into (/ 1 (pow alpha 2))
65.899 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
65.899 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
65.899 * [taylor]: Taking taylor expansion of 1.0 in alpha
65.899 * [backup-simplify]: Simplify 1.0 into 1.0
65.899 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
65.899 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
65.899 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
65.899 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.899 * [taylor]: Taking taylor expansion of alpha in alpha
65.899 * [backup-simplify]: Simplify 0 into 0
65.899 * [backup-simplify]: Simplify 1 into 1
65.900 * [backup-simplify]: Simplify (/ 1 1) into 1
65.900 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
65.900 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.900 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.900 * [backup-simplify]: Simplify 2.0 into 2.0
65.900 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.900 * [taylor]: Taking taylor expansion of i in alpha
65.900 * [backup-simplify]: Simplify i into i
65.900 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.900 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
65.900 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.900 * [taylor]: Taking taylor expansion of beta in alpha
65.900 * [backup-simplify]: Simplify beta into beta
65.900 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.900 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.900 * [backup-simplify]: Simplify 2.0 into 2.0
65.900 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
65.900 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.900 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.900 * [taylor]: Taking taylor expansion of alpha in alpha
65.900 * [backup-simplify]: Simplify 0 into 0
65.900 * [backup-simplify]: Simplify 1 into 1
65.901 * [backup-simplify]: Simplify (/ 1 1) into 1
65.901 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.901 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.901 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.901 * [backup-simplify]: Simplify 2.0 into 2.0
65.901 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.901 * [taylor]: Taking taylor expansion of i in alpha
65.901 * [backup-simplify]: Simplify i into i
65.901 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.901 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.901 * [taylor]: Taking taylor expansion of beta in alpha
65.901 * [backup-simplify]: Simplify beta into beta
65.901 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.901 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
65.901 * [taylor]: Taking taylor expansion of beta in alpha
65.901 * [backup-simplify]: Simplify beta into beta
65.902 * [backup-simplify]: Simplify (+ 1 0) into 1
65.902 * [backup-simplify]: Simplify (+ 1 0) into 1
65.902 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.902 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
65.903 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
65.903 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
65.903 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
65.903 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
65.903 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
65.903 * [taylor]: Taking taylor expansion of alpha in alpha
65.903 * [backup-simplify]: Simplify 0 into 0
65.903 * [backup-simplify]: Simplify 1 into 1
65.903 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
65.903 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.903 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.903 * [taylor]: Taking taylor expansion of alpha in alpha
65.903 * [backup-simplify]: Simplify 0 into 0
65.903 * [backup-simplify]: Simplify 1 into 1
65.903 * [backup-simplify]: Simplify (/ 1 1) into 1
65.904 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.904 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.904 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.904 * [backup-simplify]: Simplify 2.0 into 2.0
65.904 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.904 * [taylor]: Taking taylor expansion of i in alpha
65.904 * [backup-simplify]: Simplify i into i
65.904 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.904 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.904 * [taylor]: Taking taylor expansion of beta in alpha
65.904 * [backup-simplify]: Simplify beta into beta
65.904 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.904 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
65.904 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.904 * [taylor]: Taking taylor expansion of alpha in alpha
65.904 * [backup-simplify]: Simplify 0 into 0
65.904 * [backup-simplify]: Simplify 1 into 1
65.904 * [backup-simplify]: Simplify (/ 1 1) into 1
65.904 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
65.904 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.905 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.905 * [backup-simplify]: Simplify 2.0 into 2.0
65.905 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.905 * [taylor]: Taking taylor expansion of i in alpha
65.905 * [backup-simplify]: Simplify i into i
65.905 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.905 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
65.905 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.905 * [taylor]: Taking taylor expansion of beta in alpha
65.905 * [backup-simplify]: Simplify beta into beta
65.905 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.905 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.905 * [backup-simplify]: Simplify 2.0 into 2.0
65.905 * [backup-simplify]: Simplify (* 1 1) into 1
65.906 * [backup-simplify]: Simplify (+ 1 0) into 1
65.906 * [backup-simplify]: Simplify (+ 1 0) into 1
65.907 * [backup-simplify]: Simplify (* 1 1) into 1
65.907 * [backup-simplify]: Simplify (* 1 1) into 1
65.907 * [backup-simplify]: Simplify (/ 1 1) into 1
65.907 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))))) in alpha
65.907 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
65.907 * [taylor]: Taking taylor expansion of 1.0 in alpha
65.908 * [backup-simplify]: Simplify 1.0 into 1.0
65.908 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
65.908 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
65.908 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
65.908 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.908 * [taylor]: Taking taylor expansion of alpha in alpha
65.908 * [backup-simplify]: Simplify 0 into 0
65.908 * [backup-simplify]: Simplify 1 into 1
65.908 * [backup-simplify]: Simplify (/ 1 1) into 1
65.908 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
65.908 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.908 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.908 * [backup-simplify]: Simplify 2.0 into 2.0
65.908 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.908 * [taylor]: Taking taylor expansion of i in alpha
65.908 * [backup-simplify]: Simplify i into i
65.908 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.908 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
65.908 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.908 * [taylor]: Taking taylor expansion of beta in alpha
65.908 * [backup-simplify]: Simplify beta into beta
65.909 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.909 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.909 * [backup-simplify]: Simplify 2.0 into 2.0
65.909 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
65.909 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.909 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.909 * [taylor]: Taking taylor expansion of alpha in alpha
65.909 * [backup-simplify]: Simplify 0 into 0
65.909 * [backup-simplify]: Simplify 1 into 1
65.909 * [backup-simplify]: Simplify (/ 1 1) into 1
65.909 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.909 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.909 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.909 * [backup-simplify]: Simplify 2.0 into 2.0
65.909 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.909 * [taylor]: Taking taylor expansion of i in alpha
65.909 * [backup-simplify]: Simplify i into i
65.909 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.909 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.909 * [taylor]: Taking taylor expansion of beta in alpha
65.909 * [backup-simplify]: Simplify beta into beta
65.910 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.910 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
65.910 * [taylor]: Taking taylor expansion of beta in alpha
65.910 * [backup-simplify]: Simplify beta into beta
65.910 * [backup-simplify]: Simplify (+ 1 0) into 1
65.911 * [backup-simplify]: Simplify (+ 1 0) into 1
65.911 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
65.911 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
65.911 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
65.911 * [backup-simplify]: Simplify (/ 1 (pow beta 2)) into (/ 1 (pow beta 2))
65.911 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))))) in alpha
65.911 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))))) in alpha
65.912 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
65.912 * [taylor]: Taking taylor expansion of alpha in alpha
65.912 * [backup-simplify]: Simplify 0 into 0
65.912 * [backup-simplify]: Simplify 1 into 1
65.912 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)))) in alpha
65.912 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
65.912 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.912 * [taylor]: Taking taylor expansion of alpha in alpha
65.912 * [backup-simplify]: Simplify 0 into 0
65.912 * [backup-simplify]: Simplify 1 into 1
65.912 * [backup-simplify]: Simplify (/ 1 1) into 1
65.912 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
65.912 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.912 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.912 * [backup-simplify]: Simplify 2.0 into 2.0
65.912 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.912 * [taylor]: Taking taylor expansion of i in alpha
65.912 * [backup-simplify]: Simplify i into i
65.912 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.912 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.912 * [taylor]: Taking taylor expansion of beta in alpha
65.913 * [backup-simplify]: Simplify beta into beta
65.913 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.913 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) in alpha
65.913 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
65.913 * [taylor]: Taking taylor expansion of alpha in alpha
65.913 * [backup-simplify]: Simplify 0 into 0
65.913 * [backup-simplify]: Simplify 1 into 1
65.913 * [backup-simplify]: Simplify (/ 1 1) into 1
65.913 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) in alpha
65.913 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
65.913 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.913 * [backup-simplify]: Simplify 2.0 into 2.0
65.913 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
65.913 * [taylor]: Taking taylor expansion of i in alpha
65.913 * [backup-simplify]: Simplify i into i
65.913 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.913 * [taylor]: Taking taylor expansion of (+ (/ 1 beta) 2.0) in alpha
65.913 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
65.913 * [taylor]: Taking taylor expansion of beta in alpha
65.913 * [backup-simplify]: Simplify beta into beta
65.914 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
65.914 * [taylor]: Taking taylor expansion of 2.0 in alpha
65.914 * [backup-simplify]: Simplify 2.0 into 2.0
65.914 * [backup-simplify]: Simplify (* 1 1) into 1
65.915 * [backup-simplify]: Simplify (+ 1 0) into 1
65.915 * [backup-simplify]: Simplify (+ 1 0) into 1
65.915 * [backup-simplify]: Simplify (* 1 1) into 1
65.916 * [backup-simplify]: Simplify (* 1 1) into 1
65.916 * [backup-simplify]: Simplify (/ 1 1) into 1
65.917 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0
65.917 * [backup-simplify]: Simplify (- 1) into -1
65.917 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
65.917 * [taylor]: Taking taylor expansion of 0 in beta
65.917 * [backup-simplify]: Simplify 0 into 0
65.917 * [taylor]: Taking taylor expansion of 0 in i
65.917 * [backup-simplify]: Simplify 0 into 0
65.917 * [backup-simplify]: Simplify 0 into 0
65.918 * [backup-simplify]: Simplify (+ 0 0) into 0
65.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.919 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.919 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
65.919 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
65.919 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
65.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.920 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.920 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.920 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.921 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
65.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.922 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
65.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))
65.923 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
65.923 * [backup-simplify]: Simplify (+ 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) into (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))
65.923 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) in beta
65.923 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
65.924 * [taylor]: Taking taylor expansion of 4.0 in beta
65.924 * [backup-simplify]: Simplify 4.0 into 4.0
65.924 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.924 * [taylor]: Taking taylor expansion of i in beta
65.924 * [backup-simplify]: Simplify i into i
65.924 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.924 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 beta)) 2.0) in beta
65.924 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
65.924 * [taylor]: Taking taylor expansion of 2 in beta
65.924 * [backup-simplify]: Simplify 2 into 2
65.924 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.924 * [taylor]: Taking taylor expansion of beta in beta
65.924 * [backup-simplify]: Simplify 0 into 0
65.924 * [backup-simplify]: Simplify 1 into 1
65.924 * [backup-simplify]: Simplify (/ 1 1) into 1
65.924 * [taylor]: Taking taylor expansion of 2.0 in beta
65.924 * [backup-simplify]: Simplify 2.0 into 2.0
65.925 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
65.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.926 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
65.927 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.927 * [backup-simplify]: Simplify (+ (/ 4.0 i) 2.0) into (+ (* 4.0 (/ 1 i)) 2.0)
65.927 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) 2.0) in i
65.927 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
65.927 * [taylor]: Taking taylor expansion of 4.0 in i
65.927 * [backup-simplify]: Simplify 4.0 into 4.0
65.927 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.927 * [taylor]: Taking taylor expansion of i in i
65.927 * [backup-simplify]: Simplify 0 into 0
65.927 * [backup-simplify]: Simplify 1 into 1
65.928 * [backup-simplify]: Simplify (/ 1 1) into 1
65.928 * [taylor]: Taking taylor expansion of 2.0 in i
65.928 * [backup-simplify]: Simplify 2.0 into 2.0
65.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.929 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
65.930 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
65.930 * [backup-simplify]: Simplify 2.0 into 2.0
65.930 * [taylor]: Taking taylor expansion of 0 in i
65.930 * [backup-simplify]: Simplify 0 into 0
65.930 * [backup-simplify]: Simplify 0 into 0
65.930 * [backup-simplify]: Simplify 0 into 0
65.930 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow beta 2))) into (/ 1 (pow beta 2))
65.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.932 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
65.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
65.932 * [backup-simplify]: Simplify (+ 0 0) into 0
65.933 * [backup-simplify]: Simplify (+ 0 0) into 0
65.933 * [backup-simplify]: Simplify (+ 0 0) into 0
65.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.934 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.935 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
65.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
65.935 * [backup-simplify]: Simplify (+ 0 0) into 0
65.936 * [backup-simplify]: Simplify (+ 0 0) into 0
65.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
65.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.940 * [backup-simplify]: Simplify (+ (* 1 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1))) into (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))
65.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))
65.943 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0)))))) into (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))
65.945 * [backup-simplify]: Simplify (+ (/ 1 (pow beta 2)) (- (+ (* 12.0 (/ 1 (* i beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))))) into (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))))
65.945 * [taylor]: Taking taylor expansion of (- (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))))) in beta
65.945 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))))) in beta
65.945 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
65.945 * [taylor]: Taking taylor expansion of 2 in beta
65.945 * [backup-simplify]: Simplify 2 into 2
65.945 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
65.945 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
65.945 * [taylor]: Taking taylor expansion of beta in beta
65.945 * [backup-simplify]: Simplify 0 into 0
65.945 * [backup-simplify]: Simplify 1 into 1
65.945 * [backup-simplify]: Simplify (* 1 1) into 1
65.946 * [backup-simplify]: Simplify (/ 1 1) into 1
65.946 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)))) in beta
65.946 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
65.946 * [taylor]: Taking taylor expansion of 12.0 in beta
65.946 * [backup-simplify]: Simplify 12.0 into 12.0
65.946 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
65.946 * [taylor]: Taking taylor expansion of (pow i 2) in beta
65.946 * [taylor]: Taking taylor expansion of i in beta
65.946 * [backup-simplify]: Simplify i into i
65.946 * [backup-simplify]: Simplify (* i i) into (pow i 2)
65.946 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
65.946 * [taylor]: Taking taylor expansion of (+ (* 6.0 (/ 1 beta)) (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0))) in beta
65.946 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
65.947 * [taylor]: Taking taylor expansion of 6.0 in beta
65.947 * [backup-simplify]: Simplify 6.0 into 6.0
65.947 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
65.947 * [taylor]: Taking taylor expansion of beta in beta
65.947 * [backup-simplify]: Simplify 0 into 0
65.947 * [backup-simplify]: Simplify 1 into 1
65.947 * [backup-simplify]: Simplify (/ 1 1) into 1
65.947 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (* i beta))) 4.0)) in beta
65.947 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
65.947 * [taylor]: Taking taylor expansion of 12.0 in beta
65.947 * [backup-simplify]: Simplify 12.0 into 12.0
65.947 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
65.947 * [taylor]: Taking taylor expansion of i in beta
65.947 * [backup-simplify]: Simplify i into i
65.947 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.947 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) 4.0) in beta
65.947 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
65.947 * [taylor]: Taking taylor expansion of 12.0 in beta
65.947 * [backup-simplify]: Simplify 12.0 into 12.0
65.948 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
65.948 * [taylor]: Taking taylor expansion of (* i beta) in beta
65.948 * [taylor]: Taking taylor expansion of i in beta
65.948 * [backup-simplify]: Simplify i into i
65.948 * [taylor]: Taking taylor expansion of beta in beta
65.948 * [backup-simplify]: Simplify 0 into 0
65.948 * [backup-simplify]: Simplify 1 into 1
65.948 * [backup-simplify]: Simplify (* i 0) into 0
65.948 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
65.948 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
65.948 * [taylor]: Taking taylor expansion of 4.0 in beta
65.948 * [backup-simplify]: Simplify 4.0 into 4.0
65.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.950 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.953 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
65.953 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
65.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.954 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
65.955 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
65.955 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
65.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.956 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
65.956 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
65.956 * [backup-simplify]: Simplify (+ (/ 12.0 i) 4.0) into (+ (* 12.0 (/ 1 i)) 4.0)
65.957 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 i)) 4.0)
65.957 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) (+ (* 12.0 (/ 1 i)) 4.0)) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
65.957 * [backup-simplify]: Simplify (+ 0 (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))
65.958 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) into (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)))
65.958 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0))) in i
65.958 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 i)) 4.0)) in i
65.958 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
65.958 * [taylor]: Taking taylor expansion of 12.0 in i
65.958 * [backup-simplify]: Simplify 12.0 into 12.0
65.958 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
65.958 * [taylor]: Taking taylor expansion of (pow i 2) in i
65.958 * [taylor]: Taking taylor expansion of i in i
65.958 * [backup-simplify]: Simplify 0 into 0
65.958 * [backup-simplify]: Simplify 1 into 1
65.959 * [backup-simplify]: Simplify (* 1 1) into 1
65.959 * [backup-simplify]: Simplify (/ 1 1) into 1
65.959 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) 4.0) in i
65.959 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
65.959 * [taylor]: Taking taylor expansion of 12.0 in i
65.959 * [backup-simplify]: Simplify 12.0 into 12.0
65.959 * [taylor]: Taking taylor expansion of (/ 1 i) in i
65.959 * [taylor]: Taking taylor expansion of i in i
65.959 * [backup-simplify]: Simplify 0 into 0
65.959 * [backup-simplify]: Simplify 1 into 1
65.960 * [backup-simplify]: Simplify (/ 1 1) into 1
65.960 * [taylor]: Taking taylor expansion of 4.0 in i
65.960 * [backup-simplify]: Simplify 4.0 into 4.0
65.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
65.961 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
65.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.964 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
65.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.965 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
65.966 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
65.966 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
65.967 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
65.967 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
65.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
65.968 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
65.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.970 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
65.970 * [backup-simplify]: Simplify (+ 0 0) into 0
65.971 * [backup-simplify]: Simplify (+ 0 0) into 0
65.971 * [taylor]: Taking taylor expansion of 0 in i
65.971 * [backup-simplify]: Simplify 0 into 0
65.971 * [backup-simplify]: Simplify 0 into 0
65.971 * [taylor]: Taking taylor expansion of 0 in i
65.971 * [backup-simplify]: Simplify 0 into 0
65.971 * [backup-simplify]: Simplify 0 into 0
65.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.973 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
65.973 * [backup-simplify]: Simplify (+ 0 0) into 0
65.973 * [backup-simplify]: Simplify 0 into 0
65.973 * [backup-simplify]: Simplify 0 into 0
65.973 * [backup-simplify]: Simplify 0 into 0
65.974 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
65.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.974 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.975 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.975 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
65.976 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
65.976 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
65.977 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
65.977 * [backup-simplify]: Simplify (+ (/ 1 beta) 2.0) into (+ (/ 1 beta) 2.0)
65.977 * [backup-simplify]: Simplify (+ (/ 2.0 i) (+ (/ 1 beta) 2.0)) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
65.977 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) into (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))
65.978 * [backup-simplify]: Simplify (+ (* 1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0)) (pow beta 2))) into (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta)))
65.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow beta 2)) (/ (+ (* 4.0 (/ (pow beta 2) i)) (+ (* 2.0 (pow beta 2)) (* 2 beta))) (pow beta 2))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
65.980 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3))))))
65.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.982 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
65.983 * [backup-simplify]: Simplify (+ 0 0) into 0
65.983 * [backup-simplify]: Simplify (+ 0 0) into 0
65.984 * [backup-simplify]: Simplify (+ 0 0) into 0
65.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
65.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
65.986 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
65.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
65.987 * [backup-simplify]: Simplify (+ 0 0) into 0
65.995 * [backup-simplify]: Simplify (+ 0 0) into 0
65.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (+ (/ 1 beta) 2.0))) (* 0 1)))) into 0
65.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))))))) (+ (* 0 (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (* 0 1)))) into 0
66.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (- (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0))) (/ (+ (* 4.0 (/ 1 (* i beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (/ 1 (pow beta 2)) (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta)))))) 1)) (* (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) (+ (* 12.0 (/ 1 i)) (+ (* 6.0 (/ 1 beta)) 4.0))))) (/ (+ (* 4.0 (/ 1 i)) (+ (* 2 (/ 1 beta)) 2.0)) 1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))
66.009 * [backup-simplify]: Simplify (- (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))))) into (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))
66.013 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (+ (* 2.0 (/ 1 (pow beta 2))) (* 2 (/ 1 (pow beta 3)))))) (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) 8.0)))))))))) into (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))))
66.013 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))))) in beta
66.014 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
66.014 * [taylor]: Taking taylor expansion of 20.0 in beta
66.014 * [backup-simplify]: Simplify 20.0 into 20.0
66.014 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
66.014 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
66.014 * [taylor]: Taking taylor expansion of i in beta
66.014 * [backup-simplify]: Simplify i into i
66.014 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
66.014 * [taylor]: Taking taylor expansion of beta in beta
66.014 * [backup-simplify]: Simplify 0 into 0
66.014 * [backup-simplify]: Simplify 1 into 1
66.014 * [backup-simplify]: Simplify (* 1 1) into 1
66.015 * [backup-simplify]: Simplify (* i 1) into i
66.015 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.015 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))))) in beta
66.015 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
66.015 * [taylor]: Taking taylor expansion of 48.0 in beta
66.015 * [backup-simplify]: Simplify 48.0 into 48.0
66.015 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
66.015 * [taylor]: Taking taylor expansion of (pow i 2) in beta
66.015 * [taylor]: Taking taylor expansion of i in beta
66.015 * [backup-simplify]: Simplify i into i
66.015 * [backup-simplify]: Simplify (* i i) into (pow i 2)
66.015 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
66.015 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))))) in beta
66.015 * [taylor]: Taking taylor expansion of 8.0 in beta
66.015 * [backup-simplify]: Simplify 8.0 into 8.0
66.015 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))))) in beta
66.015 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
66.016 * [taylor]: Taking taylor expansion of 10.0 in beta
66.016 * [backup-simplify]: Simplify 10.0 into 10.0
66.016 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
66.016 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
66.016 * [taylor]: Taking taylor expansion of beta in beta
66.016 * [backup-simplify]: Simplify 0 into 0
66.016 * [backup-simplify]: Simplify 1 into 1
66.016 * [backup-simplify]: Simplify (* 1 1) into 1
66.017 * [backup-simplify]: Simplify (/ 1 1) into 1
66.017 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
66.017 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
66.017 * [taylor]: Taking taylor expansion of 48.0 in beta
66.017 * [backup-simplify]: Simplify 48.0 into 48.0
66.017 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
66.017 * [taylor]: Taking taylor expansion of (* i beta) in beta
66.017 * [taylor]: Taking taylor expansion of i in beta
66.017 * [backup-simplify]: Simplify i into i
66.017 * [taylor]: Taking taylor expansion of beta in beta
66.017 * [backup-simplify]: Simplify 0 into 0
66.017 * [backup-simplify]: Simplify 1 into 1
66.017 * [backup-simplify]: Simplify (* i 0) into 0
66.017 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
66.017 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.018 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
66.018 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
66.018 * [taylor]: Taking taylor expansion of 2 in beta
66.018 * [backup-simplify]: Simplify 2 into 2
66.018 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
66.018 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
66.018 * [taylor]: Taking taylor expansion of beta in beta
66.018 * [backup-simplify]: Simplify 0 into 0
66.018 * [backup-simplify]: Simplify 1 into 1
66.018 * [backup-simplify]: Simplify (* 1 1) into 1
66.019 * [backup-simplify]: Simplify (* 1 1) into 1
66.019 * [backup-simplify]: Simplify (/ 1 1) into 1
66.019 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
66.019 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
66.019 * [taylor]: Taking taylor expansion of 48.0 in beta
66.019 * [backup-simplify]: Simplify 48.0 into 48.0
66.019 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
66.019 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
66.019 * [taylor]: Taking taylor expansion of (pow i 2) in beta
66.019 * [taylor]: Taking taylor expansion of i in beta
66.019 * [backup-simplify]: Simplify i into i
66.019 * [taylor]: Taking taylor expansion of beta in beta
66.019 * [backup-simplify]: Simplify 0 into 0
66.019 * [backup-simplify]: Simplify 1 into 1
66.019 * [backup-simplify]: Simplify (* i i) into (pow i 2)
66.020 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
66.020 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
66.020 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
66.020 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
66.021 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
66.021 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
66.021 * [taylor]: Taking taylor expansion of 32.0 in beta
66.021 * [backup-simplify]: Simplify 32.0 into 32.0
66.021 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
66.021 * [taylor]: Taking taylor expansion of i in beta
66.021 * [backup-simplify]: Simplify i into i
66.021 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.021 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
66.021 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
66.021 * [taylor]: Taking taylor expansion of 16.0 in beta
66.021 * [backup-simplify]: Simplify 16.0 into 16.0
66.021 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.021 * [taylor]: Taking taylor expansion of beta in beta
66.021 * [backup-simplify]: Simplify 0 into 0
66.021 * [backup-simplify]: Simplify 1 into 1
66.021 * [backup-simplify]: Simplify (/ 1 1) into 1
66.021 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
66.022 * [taylor]: Taking taylor expansion of 32.0 in beta
66.022 * [backup-simplify]: Simplify 32.0 into 32.0
66.022 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
66.022 * [taylor]: Taking taylor expansion of (pow i 3) in beta
66.022 * [taylor]: Taking taylor expansion of i in beta
66.022 * [backup-simplify]: Simplify i into i
66.022 * [backup-simplify]: Simplify (* i i) into (pow i 2)
66.022 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
66.022 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
66.023 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.024 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
66.025 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
66.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
66.025 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
66.026 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
66.026 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
66.027 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.031 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
66.032 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
66.032 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
66.032 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
66.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.038 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.041 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.042 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
66.043 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
66.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
66.044 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
66.044 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
66.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.045 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
66.046 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
66.046 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
66.046 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
66.046 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
66.047 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
66.047 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
66.048 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
66.048 * [backup-simplify]: Simplify (+ 8.0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))
66.048 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
66.049 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))) into (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)))
66.049 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0))) in i
66.049 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
66.049 * [taylor]: Taking taylor expansion of 48.0 in i
66.049 * [backup-simplify]: Simplify 48.0 into 48.0
66.049 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
66.049 * [taylor]: Taking taylor expansion of (pow i 2) in i
66.049 * [taylor]: Taking taylor expansion of i in i
66.049 * [backup-simplify]: Simplify 0 into 0
66.050 * [backup-simplify]: Simplify 1 into 1
66.050 * [backup-simplify]: Simplify (* 1 1) into 1
66.050 * [backup-simplify]: Simplify (/ 1 1) into 1
66.051 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 32.0 (/ 1 i)) 8.0)) in i
66.051 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
66.051 * [taylor]: Taking taylor expansion of 32.0 in i
66.051 * [backup-simplify]: Simplify 32.0 into 32.0
66.051 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
66.051 * [taylor]: Taking taylor expansion of (pow i 3) in i
66.051 * [taylor]: Taking taylor expansion of i in i
66.051 * [backup-simplify]: Simplify 0 into 0
66.051 * [backup-simplify]: Simplify 1 into 1
66.051 * [backup-simplify]: Simplify (* 1 1) into 1
66.052 * [backup-simplify]: Simplify (* 1 1) into 1
66.052 * [backup-simplify]: Simplify (/ 1 1) into 1
66.052 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) 8.0) in i
66.052 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
66.052 * [taylor]: Taking taylor expansion of 32.0 in i
66.052 * [backup-simplify]: Simplify 32.0 into 32.0
66.052 * [taylor]: Taking taylor expansion of (/ 1 i) in i
66.052 * [taylor]: Taking taylor expansion of i in i
66.052 * [backup-simplify]: Simplify 0 into 0
66.052 * [backup-simplify]: Simplify 1 into 1
66.053 * [backup-simplify]: Simplify (/ 1 1) into 1
66.053 * [taylor]: Taking taylor expansion of 8.0 in i
66.053 * [backup-simplify]: Simplify 8.0 into 8.0
66.054 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.055 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.057 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
66.058 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.061 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.066 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.068 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
66.068 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
66.069 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
66.069 * [backup-simplify]: Simplify (+ 0 8.0) into 8.0
66.069 * [backup-simplify]: Simplify 8.0 into 8.0
66.070 * [backup-simplify]: Simplify (+ (* 8.0 (pow (* 1 (* 1 (/ 1 alpha))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 alpha))) 2)) (* 2.0 (* 1 (* 1 (/ 1 alpha)))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
66.072 * [backup-simplify]: Simplify (+ (* (/ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0))) (/ (/ (- (/ 1 (- beta)) (/ 1 (- alpha))) (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i))))) (sqrt (+ (+ (+ (/ 1 (- alpha)) (/ 1 (- beta))) (* 2.0 (/ 1 (- i)))) 2.0)))) 1.0) into (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))))
66.072 * [approximate]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in (alpha beta i) around 0
66.072 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in i
66.072 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in i
66.072 * [taylor]: Taking taylor expansion of 1.0 in i
66.073 * [backup-simplify]: Simplify 1.0 into 1.0
66.073 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in i
66.073 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in i
66.073 * [taylor]: Taking taylor expansion of (pow alpha 2) in i
66.073 * [taylor]: Taking taylor expansion of alpha in i
66.073 * [backup-simplify]: Simplify alpha into alpha
66.073 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
66.073 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
66.073 * [taylor]: Taking taylor expansion of 2.0 in i
66.073 * [backup-simplify]: Simplify 2.0 into 2.0
66.073 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
66.073 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
66.073 * [taylor]: Taking taylor expansion of alpha in i
66.073 * [backup-simplify]: Simplify alpha into alpha
66.073 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.073 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
66.073 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
66.073 * [taylor]: Taking taylor expansion of 2.0 in i
66.073 * [backup-simplify]: Simplify 2.0 into 2.0
66.073 * [taylor]: Taking taylor expansion of (/ 1 i) in i
66.073 * [taylor]: Taking taylor expansion of i in i
66.073 * [backup-simplify]: Simplify 0 into 0
66.073 * [backup-simplify]: Simplify 1 into 1
66.074 * [backup-simplify]: Simplify (/ 1 1) into 1
66.074 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
66.074 * [taylor]: Taking taylor expansion of beta in i
66.074 * [backup-simplify]: Simplify beta into beta
66.074 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.074 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
66.074 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
66.074 * [taylor]: Taking taylor expansion of alpha in i
66.074 * [backup-simplify]: Simplify alpha into alpha
66.074 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.074 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
66.074 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
66.074 * [taylor]: Taking taylor expansion of 2.0 in i
66.074 * [backup-simplify]: Simplify 2.0 into 2.0
66.074 * [taylor]: Taking taylor expansion of (/ 1 i) in i
66.074 * [taylor]: Taking taylor expansion of i in i
66.074 * [backup-simplify]: Simplify 0 into 0
66.074 * [backup-simplify]: Simplify 1 into 1
66.075 * [backup-simplify]: Simplify (/ 1 1) into 1
66.075 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
66.075 * [taylor]: Taking taylor expansion of beta in i
66.075 * [backup-simplify]: Simplify beta into beta
66.075 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.075 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
66.076 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
66.076 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
66.077 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
66.077 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
66.078 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
66.078 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
66.079 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
66.079 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
66.080 * [backup-simplify]: Simplify (* (- 2.0) 2.0) into -4.0
66.080 * [backup-simplify]: Simplify (* (pow alpha 2) -4.0) into (* -4.0 (pow alpha 2))
66.080 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow alpha 2))) into (/ -0.25 (pow alpha 2))
66.080 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in i
66.080 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in i
66.080 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in i
66.080 * [taylor]: Taking taylor expansion of 2.0 in i
66.080 * [backup-simplify]: Simplify 2.0 into 2.0
66.080 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
66.080 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
66.080 * [taylor]: Taking taylor expansion of alpha in i
66.081 * [backup-simplify]: Simplify alpha into alpha
66.081 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.081 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
66.081 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
66.081 * [taylor]: Taking taylor expansion of 2.0 in i
66.081 * [backup-simplify]: Simplify 2.0 into 2.0
66.081 * [taylor]: Taking taylor expansion of (/ 1 i) in i
66.081 * [taylor]: Taking taylor expansion of i in i
66.081 * [backup-simplify]: Simplify 0 into 0
66.081 * [backup-simplify]: Simplify 1 into 1
66.081 * [backup-simplify]: Simplify (/ 1 1) into 1
66.081 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
66.081 * [taylor]: Taking taylor expansion of beta in i
66.081 * [backup-simplify]: Simplify beta into beta
66.081 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.081 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in i
66.081 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in i
66.081 * [taylor]: Taking taylor expansion of (/ 1 alpha) in i
66.081 * [taylor]: Taking taylor expansion of alpha in i
66.082 * [backup-simplify]: Simplify alpha into alpha
66.082 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.082 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in i
66.082 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in i
66.082 * [taylor]: Taking taylor expansion of 2.0 in i
66.082 * [backup-simplify]: Simplify 2.0 into 2.0
66.082 * [taylor]: Taking taylor expansion of (/ 1 i) in i
66.082 * [taylor]: Taking taylor expansion of i in i
66.082 * [backup-simplify]: Simplify 0 into 0
66.082 * [backup-simplify]: Simplify 1 into 1
66.082 * [backup-simplify]: Simplify (/ 1 1) into 1
66.082 * [taylor]: Taking taylor expansion of (/ 1 beta) in i
66.082 * [taylor]: Taking taylor expansion of beta in i
66.082 * [backup-simplify]: Simplify beta into beta
66.082 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.082 * [taylor]: Taking taylor expansion of (pow beta 2) in i
66.082 * [taylor]: Taking taylor expansion of beta in i
66.082 * [backup-simplify]: Simplify beta into beta
66.083 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
66.083 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
66.084 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
66.084 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
66.085 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
66.085 * [backup-simplify]: Simplify (* 2.0 1) into 2.0
66.086 * [backup-simplify]: Simplify (+ 2.0 0) into 2.0
66.086 * [backup-simplify]: Simplify (+ 0 2.0) into 2.0
66.086 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
66.087 * [backup-simplify]: Simplify (* 2.0 (pow beta 2)) into (* 2.0 (pow beta 2))
66.087 * [backup-simplify]: Simplify (* (- 2.0) (* 2.0 (pow beta 2))) into (* -4.0 (pow beta 2))
66.087 * [backup-simplify]: Simplify (/ 1 (* -4.0 (pow beta 2))) into (/ -0.25 (pow beta 2))
66.087 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in beta
66.087 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in beta
66.087 * [taylor]: Taking taylor expansion of 1.0 in beta
66.088 * [backup-simplify]: Simplify 1.0 into 1.0
66.088 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in beta
66.088 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in beta
66.088 * [taylor]: Taking taylor expansion of (pow alpha 2) in beta
66.088 * [taylor]: Taking taylor expansion of alpha in beta
66.088 * [backup-simplify]: Simplify alpha into alpha
66.088 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
66.088 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
66.088 * [taylor]: Taking taylor expansion of 2.0 in beta
66.088 * [backup-simplify]: Simplify 2.0 into 2.0
66.088 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
66.088 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
66.088 * [taylor]: Taking taylor expansion of alpha in beta
66.088 * [backup-simplify]: Simplify alpha into alpha
66.088 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.088 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
66.088 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
66.088 * [taylor]: Taking taylor expansion of 2.0 in beta
66.088 * [backup-simplify]: Simplify 2.0 into 2.0
66.088 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
66.088 * [taylor]: Taking taylor expansion of i in beta
66.088 * [backup-simplify]: Simplify i into i
66.088 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.088 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.088 * [taylor]: Taking taylor expansion of beta in beta
66.088 * [backup-simplify]: Simplify 0 into 0
66.088 * [backup-simplify]: Simplify 1 into 1
66.089 * [backup-simplify]: Simplify (/ 1 1) into 1
66.089 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
66.089 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
66.089 * [taylor]: Taking taylor expansion of alpha in beta
66.089 * [backup-simplify]: Simplify alpha into alpha
66.089 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.089 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
66.089 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
66.089 * [taylor]: Taking taylor expansion of 2.0 in beta
66.089 * [backup-simplify]: Simplify 2.0 into 2.0
66.089 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
66.089 * [taylor]: Taking taylor expansion of i in beta
66.089 * [backup-simplify]: Simplify i into i
66.089 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.089 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.089 * [taylor]: Taking taylor expansion of beta in beta
66.089 * [backup-simplify]: Simplify 0 into 0
66.089 * [backup-simplify]: Simplify 1 into 1
66.090 * [backup-simplify]: Simplify (/ 1 1) into 1
66.090 * [backup-simplify]: Simplify (* alpha alpha) into (pow alpha 2)
66.090 * [backup-simplify]: Simplify (+ 0 1) into 1
66.091 * [backup-simplify]: Simplify (+ 0 1) into 1
66.091 * [backup-simplify]: Simplify (- 1) into -1
66.092 * [backup-simplify]: Simplify (+ 0 -1) into -1
66.092 * [backup-simplify]: Simplify (+ 0 1) into 1
66.092 * [backup-simplify]: Simplify (+ 0 1) into 1
66.093 * [backup-simplify]: Simplify (* -1 1) into -1
66.093 * [backup-simplify]: Simplify (* (pow alpha 2) -1) into (* -1 (pow alpha 2))
66.093 * [backup-simplify]: Simplify (/ 1 (* -1 (pow alpha 2))) into (/ -1 (pow alpha 2))
66.093 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in beta
66.093 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in beta
66.093 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in beta
66.093 * [taylor]: Taking taylor expansion of 2.0 in beta
66.093 * [backup-simplify]: Simplify 2.0 into 2.0
66.093 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
66.093 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
66.093 * [taylor]: Taking taylor expansion of alpha in beta
66.093 * [backup-simplify]: Simplify alpha into alpha
66.094 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.094 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
66.094 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
66.094 * [taylor]: Taking taylor expansion of 2.0 in beta
66.094 * [backup-simplify]: Simplify 2.0 into 2.0
66.094 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
66.094 * [taylor]: Taking taylor expansion of i in beta
66.094 * [backup-simplify]: Simplify i into i
66.094 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.094 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.094 * [taylor]: Taking taylor expansion of beta in beta
66.094 * [backup-simplify]: Simplify 0 into 0
66.094 * [backup-simplify]: Simplify 1 into 1
66.094 * [backup-simplify]: Simplify (/ 1 1) into 1
66.094 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in beta
66.094 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in beta
66.094 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
66.094 * [taylor]: Taking taylor expansion of alpha in beta
66.094 * [backup-simplify]: Simplify alpha into alpha
66.095 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.095 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in beta
66.095 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in beta
66.095 * [taylor]: Taking taylor expansion of 2.0 in beta
66.095 * [backup-simplify]: Simplify 2.0 into 2.0
66.095 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
66.095 * [taylor]: Taking taylor expansion of i in beta
66.095 * [backup-simplify]: Simplify i into i
66.095 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.095 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.095 * [taylor]: Taking taylor expansion of beta in beta
66.095 * [backup-simplify]: Simplify 0 into 0
66.095 * [backup-simplify]: Simplify 1 into 1
66.095 * [backup-simplify]: Simplify (/ 1 1) into 1
66.095 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
66.095 * [taylor]: Taking taylor expansion of beta in beta
66.095 * [backup-simplify]: Simplify 0 into 0
66.095 * [backup-simplify]: Simplify 1 into 1
66.096 * [backup-simplify]: Simplify (+ 0 1) into 1
66.096 * [backup-simplify]: Simplify (+ 0 1) into 1
66.097 * [backup-simplify]: Simplify (- 1) into -1
66.097 * [backup-simplify]: Simplify (+ 0 -1) into -1
66.097 * [backup-simplify]: Simplify (+ 0 1) into 1
66.098 * [backup-simplify]: Simplify (+ 0 1) into 1
66.098 * [backup-simplify]: Simplify (* 1 1) into 1
66.099 * [backup-simplify]: Simplify (* 1 1) into 1
66.099 * [backup-simplify]: Simplify (* -1 1) into -1
66.099 * [backup-simplify]: Simplify (/ 1 -1) into -1
66.099 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
66.099 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
66.100 * [taylor]: Taking taylor expansion of 1.0 in alpha
66.100 * [backup-simplify]: Simplify 1.0 into 1.0
66.100 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
66.100 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
66.100 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
66.100 * [taylor]: Taking taylor expansion of alpha in alpha
66.100 * [backup-simplify]: Simplify 0 into 0
66.100 * [backup-simplify]: Simplify 1 into 1
66.100 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
66.100 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
66.100 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.100 * [backup-simplify]: Simplify 2.0 into 2.0
66.100 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
66.100 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.100 * [taylor]: Taking taylor expansion of alpha in alpha
66.100 * [backup-simplify]: Simplify 0 into 0
66.100 * [backup-simplify]: Simplify 1 into 1
66.100 * [backup-simplify]: Simplify (/ 1 1) into 1
66.100 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
66.100 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
66.100 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.100 * [backup-simplify]: Simplify 2.0 into 2.0
66.100 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
66.101 * [taylor]: Taking taylor expansion of i in alpha
66.101 * [backup-simplify]: Simplify i into i
66.101 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.101 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.101 * [taylor]: Taking taylor expansion of beta in alpha
66.101 * [backup-simplify]: Simplify beta into beta
66.101 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.101 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
66.101 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.101 * [taylor]: Taking taylor expansion of alpha in alpha
66.101 * [backup-simplify]: Simplify 0 into 0
66.101 * [backup-simplify]: Simplify 1 into 1
66.101 * [backup-simplify]: Simplify (/ 1 1) into 1
66.101 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
66.101 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
66.101 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.101 * [backup-simplify]: Simplify 2.0 into 2.0
66.101 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
66.101 * [taylor]: Taking taylor expansion of i in alpha
66.101 * [backup-simplify]: Simplify i into i
66.102 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.102 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.102 * [taylor]: Taking taylor expansion of beta in alpha
66.102 * [backup-simplify]: Simplify beta into beta
66.102 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.102 * [backup-simplify]: Simplify (* 1 1) into 1
66.102 * [backup-simplify]: Simplify (+ 1 0) into 1
66.103 * [backup-simplify]: Simplify (- 1) into -1
66.103 * [backup-simplify]: Simplify (+ 0 -1) into -1
66.104 * [backup-simplify]: Simplify (+ 1 0) into 1
66.104 * [backup-simplify]: Simplify (* -1 1) into -1
66.104 * [backup-simplify]: Simplify (* 1 -1) into -1
66.105 * [backup-simplify]: Simplify (/ 1 -1) into -1
66.105 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
66.105 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
66.105 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
66.105 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.105 * [backup-simplify]: Simplify 2.0 into 2.0
66.105 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
66.105 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.105 * [taylor]: Taking taylor expansion of alpha in alpha
66.105 * [backup-simplify]: Simplify 0 into 0
66.105 * [backup-simplify]: Simplify 1 into 1
66.106 * [backup-simplify]: Simplify (/ 1 1) into 1
66.106 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
66.106 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
66.106 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.106 * [backup-simplify]: Simplify 2.0 into 2.0
66.106 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
66.106 * [taylor]: Taking taylor expansion of i in alpha
66.106 * [backup-simplify]: Simplify i into i
66.106 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.106 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.106 * [taylor]: Taking taylor expansion of beta in alpha
66.106 * [backup-simplify]: Simplify beta into beta
66.106 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.106 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
66.106 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
66.106 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.106 * [taylor]: Taking taylor expansion of alpha in alpha
66.106 * [backup-simplify]: Simplify 0 into 0
66.106 * [backup-simplify]: Simplify 1 into 1
66.107 * [backup-simplify]: Simplify (/ 1 1) into 1
66.107 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
66.107 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
66.107 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.107 * [backup-simplify]: Simplify 2.0 into 2.0
66.107 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
66.107 * [taylor]: Taking taylor expansion of i in alpha
66.107 * [backup-simplify]: Simplify i into i
66.107 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.107 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.107 * [taylor]: Taking taylor expansion of beta in alpha
66.107 * [backup-simplify]: Simplify beta into beta
66.107 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.107 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
66.107 * [taylor]: Taking taylor expansion of beta in alpha
66.107 * [backup-simplify]: Simplify beta into beta
66.108 * [backup-simplify]: Simplify (+ 1 0) into 1
66.108 * [backup-simplify]: Simplify (- 1) into -1
66.108 * [backup-simplify]: Simplify (+ 0 -1) into -1
66.109 * [backup-simplify]: Simplify (+ 1 0) into 1
66.109 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
66.109 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
66.109 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
66.109 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
66.109 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))))) in alpha
66.109 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))))) in alpha
66.109 * [taylor]: Taking taylor expansion of 1.0 in alpha
66.110 * [backup-simplify]: Simplify 1.0 into 1.0
66.110 * [taylor]: Taking taylor expansion of (/ 1 (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))))) in alpha
66.110 * [taylor]: Taking taylor expansion of (* (pow alpha 2) (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))))) in alpha
66.110 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
66.110 * [taylor]: Taking taylor expansion of alpha in alpha
66.110 * [backup-simplify]: Simplify 0 into 0
66.110 * [backup-simplify]: Simplify 1 into 1
66.110 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
66.110 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
66.110 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.110 * [backup-simplify]: Simplify 2.0 into 2.0
66.110 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
66.110 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.110 * [taylor]: Taking taylor expansion of alpha in alpha
66.110 * [backup-simplify]: Simplify 0 into 0
66.110 * [backup-simplify]: Simplify 1 into 1
66.110 * [backup-simplify]: Simplify (/ 1 1) into 1
66.110 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
66.110 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
66.110 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.111 * [backup-simplify]: Simplify 2.0 into 2.0
66.111 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
66.111 * [taylor]: Taking taylor expansion of i in alpha
66.111 * [backup-simplify]: Simplify i into i
66.111 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.111 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.111 * [taylor]: Taking taylor expansion of beta in alpha
66.111 * [backup-simplify]: Simplify beta into beta
66.111 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.111 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
66.111 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.111 * [taylor]: Taking taylor expansion of alpha in alpha
66.111 * [backup-simplify]: Simplify 0 into 0
66.111 * [backup-simplify]: Simplify 1 into 1
66.111 * [backup-simplify]: Simplify (/ 1 1) into 1
66.111 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
66.111 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
66.111 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.111 * [backup-simplify]: Simplify 2.0 into 2.0
66.112 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
66.112 * [taylor]: Taking taylor expansion of i in alpha
66.112 * [backup-simplify]: Simplify i into i
66.112 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.112 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.112 * [taylor]: Taking taylor expansion of beta in alpha
66.112 * [backup-simplify]: Simplify beta into beta
66.112 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.112 * [backup-simplify]: Simplify (* 1 1) into 1
66.113 * [backup-simplify]: Simplify (+ 1 0) into 1
66.113 * [backup-simplify]: Simplify (- 1) into -1
66.113 * [backup-simplify]: Simplify (+ 0 -1) into -1
66.114 * [backup-simplify]: Simplify (+ 1 0) into 1
66.114 * [backup-simplify]: Simplify (* -1 1) into -1
66.115 * [backup-simplify]: Simplify (* 1 -1) into -1
66.115 * [backup-simplify]: Simplify (/ 1 -1) into -1
66.115 * [taylor]: Taking taylor expansion of (/ 1 (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)))) in alpha
66.115 * [taylor]: Taking taylor expansion of (* (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) in alpha
66.115 * [taylor]: Taking taylor expansion of (- 2.0 (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) in alpha
66.115 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.115 * [backup-simplify]: Simplify 2.0 into 2.0
66.115 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
66.115 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.115 * [taylor]: Taking taylor expansion of alpha in alpha
66.115 * [backup-simplify]: Simplify 0 into 0
66.115 * [backup-simplify]: Simplify 1 into 1
66.116 * [backup-simplify]: Simplify (/ 1 1) into 1
66.116 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
66.116 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
66.116 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.116 * [backup-simplify]: Simplify 2.0 into 2.0
66.116 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
66.116 * [taylor]: Taking taylor expansion of i in alpha
66.116 * [backup-simplify]: Simplify i into i
66.116 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.116 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.116 * [taylor]: Taking taylor expansion of beta in alpha
66.116 * [backup-simplify]: Simplify beta into beta
66.116 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.116 * [taylor]: Taking taylor expansion of (* (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2)) in alpha
66.116 * [taylor]: Taking taylor expansion of (+ (/ 1 alpha) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) in alpha
66.116 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.116 * [taylor]: Taking taylor expansion of alpha in alpha
66.116 * [backup-simplify]: Simplify 0 into 0
66.117 * [backup-simplify]: Simplify 1 into 1
66.117 * [backup-simplify]: Simplify (/ 1 1) into 1
66.117 * [taylor]: Taking taylor expansion of (+ (* 2.0 (/ 1 i)) (/ 1 beta)) in alpha
66.117 * [taylor]: Taking taylor expansion of (* 2.0 (/ 1 i)) in alpha
66.117 * [taylor]: Taking taylor expansion of 2.0 in alpha
66.117 * [backup-simplify]: Simplify 2.0 into 2.0
66.117 * [taylor]: Taking taylor expansion of (/ 1 i) in alpha
66.117 * [taylor]: Taking taylor expansion of i in alpha
66.117 * [backup-simplify]: Simplify i into i
66.117 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.117 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.117 * [taylor]: Taking taylor expansion of beta in alpha
66.117 * [backup-simplify]: Simplify beta into beta
66.117 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.117 * [taylor]: Taking taylor expansion of (pow beta 2) in alpha
66.117 * [taylor]: Taking taylor expansion of beta in alpha
66.117 * [backup-simplify]: Simplify beta into beta
66.118 * [backup-simplify]: Simplify (+ 1 0) into 1
66.118 * [backup-simplify]: Simplify (- 1) into -1
66.119 * [backup-simplify]: Simplify (+ 0 -1) into -1
66.119 * [backup-simplify]: Simplify (+ 1 0) into 1
66.119 * [backup-simplify]: Simplify (* beta beta) into (pow beta 2)
66.119 * [backup-simplify]: Simplify (* 1 (pow beta 2)) into (pow beta 2)
66.119 * [backup-simplify]: Simplify (* -1 (pow beta 2)) into (* -1 (pow beta 2))
66.120 * [backup-simplify]: Simplify (/ 1 (* -1 (pow beta 2))) into (/ -1 (pow beta 2))
66.120 * [backup-simplify]: Simplify (+ 1.0 -1) into 0
66.121 * [backup-simplify]: Simplify (+ 0 0) into 0
66.121 * [taylor]: Taking taylor expansion of 0 in beta
66.121 * [backup-simplify]: Simplify 0 into 0
66.121 * [taylor]: Taking taylor expansion of 0 in i
66.121 * [backup-simplify]: Simplify 0 into 0
66.121 * [backup-simplify]: Simplify 0 into 0
66.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.121 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
66.122 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
66.122 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
66.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.123 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
66.123 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
66.123 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
66.123 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
66.124 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
66.124 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
66.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.125 * [backup-simplify]: Simplify (+ (* 1 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)) into (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))
66.126 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
66.126 * [backup-simplify]: Simplify (+ 0 (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
66.126 * [backup-simplify]: Simplify (+ (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) 0) into (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0)
66.127 * [taylor]: Taking taylor expansion of (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) in beta
66.127 * [taylor]: Taking taylor expansion of (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) in beta
66.127 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in beta
66.127 * [taylor]: Taking taylor expansion of 4.0 in beta
66.127 * [backup-simplify]: Simplify 4.0 into 4.0
66.127 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
66.127 * [taylor]: Taking taylor expansion of i in beta
66.127 * [backup-simplify]: Simplify i into i
66.127 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.127 * [taylor]: Taking taylor expansion of (* 2 (/ 1 beta)) in beta
66.127 * [taylor]: Taking taylor expansion of 2 in beta
66.127 * [backup-simplify]: Simplify 2 into 2
66.127 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.127 * [taylor]: Taking taylor expansion of beta in beta
66.127 * [backup-simplify]: Simplify 0 into 0
66.127 * [backup-simplify]: Simplify 1 into 1
66.127 * [backup-simplify]: Simplify (/ 1 1) into 1
66.127 * [taylor]: Taking taylor expansion of 2.0 in beta
66.128 * [backup-simplify]: Simplify 2.0 into 2.0
66.128 * [backup-simplify]: Simplify (* 4.0 (/ 1 i)) into (/ 4.0 i)
66.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.129 * [backup-simplify]: Simplify (+ (* 2 0) (* 0 1)) into 0
66.129 * [backup-simplify]: Simplify (+ (/ 4.0 i) 0) into (* 4.0 (/ 1 i))
66.130 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
66.130 * [backup-simplify]: Simplify (+ (* 4.0 (/ 1 i)) (- 2.0)) into (- (* 4.0 (/ 1 i)) 2.0)
66.130 * [taylor]: Taking taylor expansion of (- (* 4.0 (/ 1 i)) 2.0) in i
66.130 * [taylor]: Taking taylor expansion of (* 4.0 (/ 1 i)) in i
66.130 * [taylor]: Taking taylor expansion of 4.0 in i
66.130 * [backup-simplify]: Simplify 4.0 into 4.0
66.130 * [taylor]: Taking taylor expansion of (/ 1 i) in i
66.130 * [taylor]: Taking taylor expansion of i in i
66.130 * [backup-simplify]: Simplify 0 into 0
66.130 * [backup-simplify]: Simplify 1 into 1
66.131 * [backup-simplify]: Simplify (/ 1 1) into 1
66.131 * [taylor]: Taking taylor expansion of 2.0 in i
66.131 * [backup-simplify]: Simplify 2.0 into 2.0
66.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.132 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 1)) into 0
66.133 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
66.134 * [backup-simplify]: Simplify (+ 0 (- 2.0)) into (- 2.0)
66.134 * [backup-simplify]: Simplify (- 2.0) into (- 2.0)
66.134 * [taylor]: Taking taylor expansion of 0 in i
66.134 * [backup-simplify]: Simplify 0 into 0
66.134 * [backup-simplify]: Simplify 0 into 0
66.134 * [backup-simplify]: Simplify 0 into 0
66.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.135 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
66.136 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
66.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
66.136 * [backup-simplify]: Simplify (+ 0 0) into 0
66.137 * [backup-simplify]: Simplify (+ 0 0) into 0
66.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
66.138 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (/ 1 i))) into 0
66.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
66.139 * [backup-simplify]: Simplify (+ 0 0) into 0
66.139 * [backup-simplify]: Simplify (+ 0 0) into 0
66.140 * [backup-simplify]: Simplify (- 0) into 0
66.140 * [backup-simplify]: Simplify (+ 0 0) into 0
66.141 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
66.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.144 * [backup-simplify]: Simplify (+ (* 1 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1))) into (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))
66.147 * [backup-simplify]: Simplify (- (+ (* -1 (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
66.148 * [backup-simplify]: Simplify (+ 0 (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0))))
66.148 * [backup-simplify]: Simplify (- (/ -1 (pow beta 2))) into (/ 1 (pow beta 2))
66.149 * [backup-simplify]: Simplify (+ (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ 1 (pow beta 2))) into (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))))
66.149 * [taylor]: Taking taylor expansion of (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)))) in beta
66.150 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) in beta
66.150 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in beta
66.150 * [taylor]: Taking taylor expansion of 12.0 in beta
66.150 * [backup-simplify]: Simplify 12.0 into 12.0
66.150 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
66.150 * [taylor]: Taking taylor expansion of i in beta
66.150 * [backup-simplify]: Simplify i into i
66.150 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.150 * [taylor]: Taking taylor expansion of (* 6.0 (/ 1 beta)) in beta
66.150 * [taylor]: Taking taylor expansion of 6.0 in beta
66.150 * [backup-simplify]: Simplify 6.0 into 6.0
66.150 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.150 * [taylor]: Taking taylor expansion of beta in beta
66.150 * [backup-simplify]: Simplify 0 into 0
66.150 * [backup-simplify]: Simplify 1 into 1
66.151 * [backup-simplify]: Simplify (/ 1 1) into 1
66.151 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0))) in beta
66.151 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in beta
66.151 * [taylor]: Taking taylor expansion of 12.0 in beta
66.151 * [backup-simplify]: Simplify 12.0 into 12.0
66.151 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
66.151 * [taylor]: Taking taylor expansion of (pow i 2) in beta
66.151 * [taylor]: Taking taylor expansion of i in beta
66.151 * [backup-simplify]: Simplify i into i
66.151 * [backup-simplify]: Simplify (* i i) into (pow i 2)
66.151 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
66.151 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (* i beta))) (+ (* 2 (/ 1 (pow beta 2))) 4.0)) in beta
66.151 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (* i beta))) in beta
66.152 * [taylor]: Taking taylor expansion of 12.0 in beta
66.152 * [backup-simplify]: Simplify 12.0 into 12.0
66.152 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
66.152 * [taylor]: Taking taylor expansion of (* i beta) in beta
66.152 * [taylor]: Taking taylor expansion of i in beta
66.152 * [backup-simplify]: Simplify i into i
66.152 * [taylor]: Taking taylor expansion of beta in beta
66.152 * [backup-simplify]: Simplify 0 into 0
66.152 * [backup-simplify]: Simplify 1 into 1
66.152 * [backup-simplify]: Simplify (* i 0) into 0
66.152 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
66.152 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.153 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 2))) 4.0) in beta
66.153 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 2))) in beta
66.153 * [taylor]: Taking taylor expansion of 2 in beta
66.153 * [backup-simplify]: Simplify 2 into 2
66.153 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
66.153 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
66.153 * [taylor]: Taking taylor expansion of beta in beta
66.153 * [backup-simplify]: Simplify 0 into 0
66.153 * [backup-simplify]: Simplify 1 into 1
66.190 * [backup-simplify]: Simplify (* 1 1) into 1
66.191 * [backup-simplify]: Simplify (/ 1 1) into 1
66.191 * [taylor]: Taking taylor expansion of 4.0 in beta
66.191 * [backup-simplify]: Simplify 4.0 into 4.0
66.192 * [backup-simplify]: Simplify (* 12.0 (/ 1 i)) into (/ 12.0 i)
66.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.193 * [backup-simplify]: Simplify (+ (* 6.0 0) (* 0 1)) into 0
66.193 * [backup-simplify]: Simplify (+ (/ 12.0 i) 0) into (* 12.0 (/ 1 i))
66.194 * [backup-simplify]: Simplify (* 12.0 (/ 1 (pow i 2))) into (/ 12.0 (pow i 2))
66.194 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
66.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
66.195 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 (/ 1 i))) into 0
66.199 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.203 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
66.204 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
66.205 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
66.205 * [backup-simplify]: Simplify (+ (/ 12.0 (pow i 2)) 4.0) into (+ (* 12.0 (/ 1 (pow i 2))) 4.0)
66.205 * [backup-simplify]: Simplify (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) into (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
66.206 * [backup-simplify]: Simplify (+ (* 12.0 (/ 1 i)) (- (+ (* 12.0 (/ 1 (pow i 2))) 4.0))) into (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0))
66.206 * [taylor]: Taking taylor expansion of (- (* 12.0 (/ 1 i)) (+ (* 12.0 (/ 1 (pow i 2))) 4.0)) in i
66.206 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 i)) in i
66.206 * [taylor]: Taking taylor expansion of 12.0 in i
66.206 * [backup-simplify]: Simplify 12.0 into 12.0
66.206 * [taylor]: Taking taylor expansion of (/ 1 i) in i
66.206 * [taylor]: Taking taylor expansion of i in i
66.206 * [backup-simplify]: Simplify 0 into 0
66.206 * [backup-simplify]: Simplify 1 into 1
66.207 * [backup-simplify]: Simplify (/ 1 1) into 1
66.207 * [taylor]: Taking taylor expansion of (+ (* 12.0 (/ 1 (pow i 2))) 4.0) in i
66.207 * [taylor]: Taking taylor expansion of (* 12.0 (/ 1 (pow i 2))) in i
66.207 * [taylor]: Taking taylor expansion of 12.0 in i
66.207 * [backup-simplify]: Simplify 12.0 into 12.0
66.207 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
66.207 * [taylor]: Taking taylor expansion of (pow i 2) in i
66.207 * [taylor]: Taking taylor expansion of i in i
66.207 * [backup-simplify]: Simplify 0 into 0
66.207 * [backup-simplify]: Simplify 1 into 1
66.208 * [backup-simplify]: Simplify (* 1 1) into 1
66.208 * [backup-simplify]: Simplify (/ 1 1) into 1
66.208 * [taylor]: Taking taylor expansion of 4.0 in i
66.208 * [backup-simplify]: Simplify 4.0 into 4.0
66.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.210 * [backup-simplify]: Simplify (+ (* 12.0 0) (* 0 1)) into 0
66.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.211 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.214 * [backup-simplify]: Simplify (+ (* 12.0 0) (+ (* 0 0) (* 0 1))) into 0
66.215 * [backup-simplify]: Simplify (+ 0 4.0) into 4.0
66.215 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
66.216 * [backup-simplify]: Simplify (+ 0 (- 4.0)) into (- 4.0)
66.217 * [backup-simplify]: Simplify (- 4.0) into (- 4.0)
66.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
66.218 * [backup-simplify]: Simplify (+ (* 4.0 0) (* 0 (/ 1 i))) into 0
66.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.221 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (* 0 1))) into 0
66.221 * [backup-simplify]: Simplify (+ 0 0) into 0
66.221 * [backup-simplify]: Simplify (- 0) into 0
66.222 * [backup-simplify]: Simplify (+ 0 0) into 0
66.222 * [taylor]: Taking taylor expansion of 0 in i
66.222 * [backup-simplify]: Simplify 0 into 0
66.222 * [backup-simplify]: Simplify 0 into 0
66.222 * [taylor]: Taking taylor expansion of 0 in i
66.222 * [backup-simplify]: Simplify 0 into 0
66.222 * [backup-simplify]: Simplify 0 into 0
66.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.224 * [backup-simplify]: Simplify (+ (* 4.0 0) (+ (* 0 0) (* 0 1))) into 0
66.224 * [backup-simplify]: Simplify (- 0) into 0
66.225 * [backup-simplify]: Simplify (+ 0 0) into 0
66.225 * [backup-simplify]: Simplify 0 into 0
66.225 * [backup-simplify]: Simplify 0 into 0
66.225 * [backup-simplify]: Simplify 0 into 0
66.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
66.227 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
66.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
66.227 * [backup-simplify]: Simplify (+ 0 0) into 0
66.228 * [backup-simplify]: Simplify (+ 0 0) into 0
66.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
66.230 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
66.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
66.230 * [backup-simplify]: Simplify (+ 0 0) into 0
66.230 * [backup-simplify]: Simplify (+ 0 0) into 0
66.231 * [backup-simplify]: Simplify (- 0) into 0
66.231 * [backup-simplify]: Simplify (+ 0 0) into 0
66.232 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) 0) (+ (* 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (* 0 1)))) into 0
66.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.235 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2)))))) (+ (* 0 (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))))) (* 0 -1)))) into 0
66.240 * [backup-simplify]: Simplify (- (+ (* -1 (/ 0 -1)) (* (- (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta))) 2.0) (/ (- (+ (* 4.0 (/ 1 i)) (* 2.0 (/ 1 beta))) (+ (* 4.0 (/ 1 (pow i 2))) (+ (* 4.0 (/ 1 (* i beta))) (/ 1 (pow beta 2))))) -1)) (* (- (+ (* 12.0 (/ 1 i)) (* 6.0 (/ 1 beta))) (+ (* 12.0 (/ 1 (pow i 2))) (+ (* 12.0 (/ 1 (* i beta))) (+ (* 3 (/ 1 (pow beta 2))) 4.0)))) (/ (- 2.0 (+ (* 4.0 (/ 1 i)) (* 2 (/ 1 beta)))) -1)))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
66.243 * [backup-simplify]: Simplify (+ 0 (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))) into (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0))))
66.243 * [backup-simplify]: Simplify (+ (* beta 0) (* 0 beta)) into 0
66.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.244 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
66.244 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
66.245 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
66.245 * [backup-simplify]: Simplify (+ (* 1 0) (* (+ (* 2.0 (/ 1 i)) (/ 1 beta)) (pow beta 2))) into (+ (* 2.0 (/ (pow beta 2) i)) beta)
66.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.246 * [backup-simplify]: Simplify (* 2.0 (/ 1 i)) into (/ 2.0 i)
66.247 * [backup-simplify]: Simplify (+ (/ 2.0 i) (/ 1 beta)) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
66.247 * [backup-simplify]: Simplify (+ 0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (+ (* 2.0 (/ 1 i)) (/ 1 beta))
66.247 * [backup-simplify]: Simplify (- (+ (* 2.0 (/ 1 i)) (/ 1 beta))) into (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
66.247 * [backup-simplify]: Simplify (+ 2.0 (- (+ (* 2.0 (/ 1 i)) (/ 1 beta)))) into (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta)))
66.248 * [backup-simplify]: Simplify (+ (* -1 (+ (* 2.0 (/ (pow beta 2) i)) beta)) (* (- 2.0 (+ (* 2.0 (/ 1 i)) (/ 1 beta))) (pow beta 2))) into (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta)))
66.249 * [backup-simplify]: Simplify (- (+ (* (/ -1 (pow beta 2)) (/ (- (* 2.0 (pow beta 2)) (+ (* 4.0 (/ (pow beta 2) i)) (* 2 beta))) (* -1 (pow beta 2)))))) into (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))
66.250 * [backup-simplify]: Simplify (- (- (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))) (* 2.0 (/ 1 (pow beta 2))))) into (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))
66.253 * [backup-simplify]: Simplify (+ (- (+ (* 24.0 (/ 1 (* i (pow beta 2)))) (+ (* 32.0 (/ 1 (pow i 3))) (+ (* 4 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (* 16.0 (/ 1 beta))))))) (+ (* 12.0 (/ 1 (pow beta 2))) (+ (* 48.0 (/ 1 (pow i 2))) (+ (* 48.0 (/ 1 (* i beta))) 8.0)))) (- (* 2.0 (/ 1 (pow beta 2))) (+ (* 4.0 (/ 1 (* i (pow beta 2)))) (* 2 (/ 1 (pow beta 3)))))) into (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))))
66.253 * [taylor]: Taking taylor expansion of (- (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))))) in beta
66.253 * [taylor]: Taking taylor expansion of (+ (* 20.0 (/ 1 (* i (pow beta 2)))) (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))))) in beta
66.253 * [taylor]: Taking taylor expansion of (* 20.0 (/ 1 (* i (pow beta 2)))) in beta
66.253 * [taylor]: Taking taylor expansion of 20.0 in beta
66.253 * [backup-simplify]: Simplify 20.0 into 20.0
66.254 * [taylor]: Taking taylor expansion of (/ 1 (* i (pow beta 2))) in beta
66.254 * [taylor]: Taking taylor expansion of (* i (pow beta 2)) in beta
66.254 * [taylor]: Taking taylor expansion of i in beta
66.254 * [backup-simplify]: Simplify i into i
66.254 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
66.254 * [taylor]: Taking taylor expansion of beta in beta
66.254 * [backup-simplify]: Simplify 0 into 0
66.254 * [backup-simplify]: Simplify 1 into 1
66.257 * [backup-simplify]: Simplify (* 1 1) into 1
66.257 * [backup-simplify]: Simplify (* i 1) into i
66.257 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.257 * [taylor]: Taking taylor expansion of (+ (* 2 (/ 1 (pow beta 3))) (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))))) in beta
66.257 * [taylor]: Taking taylor expansion of (* 2 (/ 1 (pow beta 3))) in beta
66.257 * [taylor]: Taking taylor expansion of 2 in beta
66.257 * [backup-simplify]: Simplify 2 into 2
66.257 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 3)) in beta
66.258 * [taylor]: Taking taylor expansion of (pow beta 3) in beta
66.258 * [taylor]: Taking taylor expansion of beta in beta
66.258 * [backup-simplify]: Simplify 0 into 0
66.258 * [backup-simplify]: Simplify 1 into 1
66.258 * [backup-simplify]: Simplify (* 1 1) into 1
66.259 * [backup-simplify]: Simplify (* 1 1) into 1
66.262 * [backup-simplify]: Simplify (/ 1 1) into 1
66.262 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (* (pow i 2) beta))) (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))))) in beta
66.262 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* (pow i 2) beta))) in beta
66.262 * [taylor]: Taking taylor expansion of 48.0 in beta
66.262 * [backup-simplify]: Simplify 48.0 into 48.0
66.262 * [taylor]: Taking taylor expansion of (/ 1 (* (pow i 2) beta)) in beta
66.262 * [taylor]: Taking taylor expansion of (* (pow i 2) beta) in beta
66.262 * [taylor]: Taking taylor expansion of (pow i 2) in beta
66.262 * [taylor]: Taking taylor expansion of i in beta
66.262 * [backup-simplify]: Simplify i into i
66.262 * [taylor]: Taking taylor expansion of beta in beta
66.262 * [backup-simplify]: Simplify 0 into 0
66.262 * [backup-simplify]: Simplify 1 into 1
66.262 * [backup-simplify]: Simplify (* i i) into (pow i 2)
66.263 * [backup-simplify]: Simplify (* (pow i 2) 0) into 0
66.263 * [backup-simplify]: Simplify (+ (* i 0) (* 0 i)) into 0
66.279 * [backup-simplify]: Simplify (+ (* (pow i 2) 1) (* 0 0)) into (pow i 2)
66.279 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
66.279 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3))))) in beta
66.279 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in beta
66.279 * [taylor]: Taking taylor expansion of 32.0 in beta
66.279 * [backup-simplify]: Simplify 32.0 into 32.0
66.279 * [taylor]: Taking taylor expansion of (/ 1 i) in beta
66.279 * [taylor]: Taking taylor expansion of i in beta
66.279 * [backup-simplify]: Simplify i into i
66.279 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.279 * [taylor]: Taking taylor expansion of (+ (* 16.0 (/ 1 beta)) (* 32.0 (/ 1 (pow i 3)))) in beta
66.279 * [taylor]: Taking taylor expansion of (* 16.0 (/ 1 beta)) in beta
66.279 * [taylor]: Taking taylor expansion of 16.0 in beta
66.279 * [backup-simplify]: Simplify 16.0 into 16.0
66.279 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.279 * [taylor]: Taking taylor expansion of beta in beta
66.279 * [backup-simplify]: Simplify 0 into 0
66.279 * [backup-simplify]: Simplify 1 into 1
66.280 * [backup-simplify]: Simplify (/ 1 1) into 1
66.280 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in beta
66.280 * [taylor]: Taking taylor expansion of 32.0 in beta
66.280 * [backup-simplify]: Simplify 32.0 into 32.0
66.280 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in beta
66.280 * [taylor]: Taking taylor expansion of (pow i 3) in beta
66.280 * [taylor]: Taking taylor expansion of i in beta
66.280 * [backup-simplify]: Simplify i into i
66.280 * [backup-simplify]: Simplify (* i i) into (pow i 2)
66.280 * [backup-simplify]: Simplify (* i (pow i 2)) into (pow i 3)
66.281 * [backup-simplify]: Simplify (/ 1 (pow i 3)) into (/ 1 (pow i 3))
66.281 * [taylor]: Taking taylor expansion of (+ (* 10.0 (/ 1 (pow beta 2))) (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))))) in beta
66.281 * [taylor]: Taking taylor expansion of (* 10.0 (/ 1 (pow beta 2))) in beta
66.281 * [taylor]: Taking taylor expansion of 10.0 in beta
66.281 * [backup-simplify]: Simplify 10.0 into 10.0
66.281 * [taylor]: Taking taylor expansion of (/ 1 (pow beta 2)) in beta
66.281 * [taylor]: Taking taylor expansion of (pow beta 2) in beta
66.281 * [taylor]: Taking taylor expansion of beta in beta
66.281 * [backup-simplify]: Simplify 0 into 0
66.281 * [backup-simplify]: Simplify 1 into 1
66.281 * [backup-simplify]: Simplify (* 1 1) into 1
66.282 * [backup-simplify]: Simplify (/ 1 1) into 1
66.282 * [taylor]: Taking taylor expansion of (+ 8.0 (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta))))) in beta
66.282 * [taylor]: Taking taylor expansion of 8.0 in beta
66.282 * [backup-simplify]: Simplify 8.0 into 8.0
66.282 * [taylor]: Taking taylor expansion of (+ (* 48.0 (/ 1 (pow i 2))) (* 48.0 (/ 1 (* i beta)))) in beta
66.282 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in beta
66.282 * [taylor]: Taking taylor expansion of 48.0 in beta
66.282 * [backup-simplify]: Simplify 48.0 into 48.0
66.282 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in beta
66.282 * [taylor]: Taking taylor expansion of (pow i 2) in beta
66.282 * [taylor]: Taking taylor expansion of i in beta
66.282 * [backup-simplify]: Simplify i into i
66.282 * [backup-simplify]: Simplify (* i i) into (pow i 2)
66.282 * [backup-simplify]: Simplify (/ 1 (pow i 2)) into (/ 1 (pow i 2))
66.282 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (* i beta))) in beta
66.282 * [taylor]: Taking taylor expansion of 48.0 in beta
66.282 * [backup-simplify]: Simplify 48.0 into 48.0
66.282 * [taylor]: Taking taylor expansion of (/ 1 (* i beta)) in beta
66.282 * [taylor]: Taking taylor expansion of (* i beta) in beta
66.282 * [taylor]: Taking taylor expansion of i in beta
66.283 * [backup-simplify]: Simplify i into i
66.283 * [taylor]: Taking taylor expansion of beta in beta
66.283 * [backup-simplify]: Simplify 0 into 0
66.283 * [backup-simplify]: Simplify 1 into 1
66.283 * [backup-simplify]: Simplify (* i 0) into 0
66.283 * [backup-simplify]: Simplify (+ (* i 1) (* 0 0)) into i
66.283 * [backup-simplify]: Simplify (/ 1 i) into (/ 1 i)
66.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.285 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.285 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 1))) into 0
66.286 * [backup-simplify]: Simplify (+ (* i 0) (* 0 1)) into 0
66.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
66.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)) (* 0 (/ 0 i)))) into 0
66.287 * [backup-simplify]: Simplify (+ (* 20.0 0) (+ (* 0 0) (* 0 (/ 1 i)))) into 0
66.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.296 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.297 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 0) (* 0 i))) into 0
66.298 * [backup-simplify]: Simplify (+ (* (pow i 2) 0) (+ (* 0 1) (* 0 0))) into 0
66.298 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow i 2)) (/ 0 (pow i 2))))) into 0
66.299 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 (pow i 2)))) into 0
66.299 * [backup-simplify]: Simplify (* 32.0 (/ 1 i)) into (/ 32.0 i)
66.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.300 * [backup-simplify]: Simplify (+ (* 16.0 0) (* 0 1)) into 0
66.301 * [backup-simplify]: Simplify (* 32.0 (/ 1 (pow i 3))) into (/ 32.0 (pow i 3))
66.301 * [backup-simplify]: Simplify (+ 0 (/ 32.0 (pow i 3))) into (* 32.0 (/ 1 (pow i 3)))
66.301 * [backup-simplify]: Simplify (+ (/ 32.0 i) (* 32.0 (/ 1 (pow i 3)))) into (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))
66.301 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3))))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
66.302 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
66.302 * [backup-simplify]: Simplify (+ 0 (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))) into (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i)))
66.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.307 * [backup-simplify]: Simplify (+ (* 10.0 0) (+ (* 0 0) (* 0 1))) into 0
66.307 * [backup-simplify]: Simplify (* 48.0 (/ 1 (pow i 2))) into (/ 48.0 (pow i 2))
66.308 * [backup-simplify]: Simplify (+ (* i 0) (+ (* 0 1) (* 0 0))) into 0
66.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 i) (/ 0 i)))) into 0
66.309 * [backup-simplify]: Simplify (+ (* 48.0 0) (* 0 (/ 1 i))) into 0
66.309 * [backup-simplify]: Simplify (+ (/ 48.0 (pow i 2)) 0) into (* 48.0 (/ 1 (pow i 2)))
66.309 * [backup-simplify]: Simplify (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
66.310 * [backup-simplify]: Simplify (+ 0 (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (+ (* 48.0 (/ 1 (pow i 2))) 8.0)
66.310 * [backup-simplify]: Simplify (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0)) into (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))
66.311 * [backup-simplify]: Simplify (+ (+ (* 32.0 (/ 1 (pow i 3))) (* 32.0 (/ 1 i))) (- (+ (* 48.0 (/ 1 (pow i 2))) 8.0))) into (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2)))))
66.311 * [taylor]: Taking taylor expansion of (- (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) (+ 8.0 (* 48.0 (/ 1 (pow i 2))))) in i
66.311 * [taylor]: Taking taylor expansion of (+ (* 32.0 (/ 1 i)) (* 32.0 (/ 1 (pow i 3)))) in i
66.311 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 i)) in i
66.311 * [taylor]: Taking taylor expansion of 32.0 in i
66.311 * [backup-simplify]: Simplify 32.0 into 32.0
66.311 * [taylor]: Taking taylor expansion of (/ 1 i) in i
66.311 * [taylor]: Taking taylor expansion of i in i
66.311 * [backup-simplify]: Simplify 0 into 0
66.311 * [backup-simplify]: Simplify 1 into 1
66.311 * [backup-simplify]: Simplify (/ 1 1) into 1
66.311 * [taylor]: Taking taylor expansion of (* 32.0 (/ 1 (pow i 3))) in i
66.311 * [taylor]: Taking taylor expansion of 32.0 in i
66.312 * [backup-simplify]: Simplify 32.0 into 32.0
66.312 * [taylor]: Taking taylor expansion of (/ 1 (pow i 3)) in i
66.312 * [taylor]: Taking taylor expansion of (pow i 3) in i
66.312 * [taylor]: Taking taylor expansion of i in i
66.312 * [backup-simplify]: Simplify 0 into 0
66.312 * [backup-simplify]: Simplify 1 into 1
66.312 * [backup-simplify]: Simplify (* 1 1) into 1
66.312 * [backup-simplify]: Simplify (* 1 1) into 1
66.313 * [backup-simplify]: Simplify (/ 1 1) into 1
66.313 * [taylor]: Taking taylor expansion of (+ 8.0 (* 48.0 (/ 1 (pow i 2)))) in i
66.313 * [taylor]: Taking taylor expansion of 8.0 in i
66.313 * [backup-simplify]: Simplify 8.0 into 8.0
66.313 * [taylor]: Taking taylor expansion of (* 48.0 (/ 1 (pow i 2))) in i
66.313 * [taylor]: Taking taylor expansion of 48.0 in i
66.313 * [backup-simplify]: Simplify 48.0 into 48.0
66.313 * [taylor]: Taking taylor expansion of (/ 1 (pow i 2)) in i
66.313 * [taylor]: Taking taylor expansion of (pow i 2) in i
66.313 * [taylor]: Taking taylor expansion of i in i
66.313 * [backup-simplify]: Simplify 0 into 0
66.313 * [backup-simplify]: Simplify 1 into 1
66.314 * [backup-simplify]: Simplify (* 1 1) into 1
66.314 * [backup-simplify]: Simplify (/ 1 1) into 1
66.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.316 * [backup-simplify]: Simplify (+ (* 32.0 0) (* 0 1)) into 0
66.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.318 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.326 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.329 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.331 * [backup-simplify]: Simplify (+ (* 32.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.331 * [backup-simplify]: Simplify (+ 0 0) into 0
66.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.336 * [backup-simplify]: Simplify (+ (* 48.0 0) (+ (* 0 0) (* 0 1))) into 0
66.337 * [backup-simplify]: Simplify (+ 8.0 0) into 8.0
66.337 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
66.338 * [backup-simplify]: Simplify (+ 0 (- 8.0)) into (- 8.0)
66.339 * [backup-simplify]: Simplify (- 8.0) into (- 8.0)
66.341 * [backup-simplify]: Simplify (+ (* (- 8.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 3)) (+ (* (- 4.0) (pow (* 1 (* 1 (/ 1 (- alpha)))) 2)) (* (- 2.0) (* 1 (* 1 (/ 1 (- alpha))))))) into (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
66.341 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1 2 2 1 2 2 2 1)
66.341 * [backup-simplify]: Simplify (cbrt (- beta alpha)) into (pow (- beta alpha) 1/3)
66.341 * [approximate]: Taking taylor expansion of (pow (- beta alpha) 1/3) in (beta alpha) around 0
66.341 * [taylor]: Taking taylor expansion of (pow (- beta alpha) 1/3) in alpha
66.341 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- beta alpha)))) in alpha
66.341 * [taylor]: Taking taylor expansion of (* 1/3 (log (- beta alpha))) in alpha
66.341 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.341 * [backup-simplify]: Simplify 1/3 into 1/3
66.341 * [taylor]: Taking taylor expansion of (log (- beta alpha)) in alpha
66.341 * [taylor]: Taking taylor expansion of (- beta alpha) in alpha
66.341 * [taylor]: Taking taylor expansion of beta in alpha
66.341 * [backup-simplify]: Simplify beta into beta
66.341 * [taylor]: Taking taylor expansion of alpha in alpha
66.341 * [backup-simplify]: Simplify 0 into 0
66.341 * [backup-simplify]: Simplify 1 into 1
66.342 * [backup-simplify]: Simplify (- 0) into 0
66.342 * [backup-simplify]: Simplify (+ beta 0) into beta
66.342 * [backup-simplify]: Simplify (log beta) into (log beta)
66.342 * [backup-simplify]: Simplify (* 1/3 (log beta)) into (* 1/3 (log beta))
66.342 * [backup-simplify]: Simplify (exp (* 1/3 (log beta))) into (pow beta 1/3)
66.342 * [taylor]: Taking taylor expansion of (pow (- beta alpha) 1/3) in beta
66.342 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- beta alpha)))) in beta
66.342 * [taylor]: Taking taylor expansion of (* 1/3 (log (- beta alpha))) in beta
66.342 * [taylor]: Taking taylor expansion of 1/3 in beta
66.342 * [backup-simplify]: Simplify 1/3 into 1/3
66.342 * [taylor]: Taking taylor expansion of (log (- beta alpha)) in beta
66.342 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
66.342 * [taylor]: Taking taylor expansion of beta in beta
66.342 * [backup-simplify]: Simplify 0 into 0
66.342 * [backup-simplify]: Simplify 1 into 1
66.342 * [taylor]: Taking taylor expansion of alpha in beta
66.343 * [backup-simplify]: Simplify alpha into alpha
66.343 * [backup-simplify]: Simplify (- alpha) into (- alpha)
66.343 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
66.343 * [backup-simplify]: Simplify (log (- alpha)) into (log (- alpha))
66.343 * [backup-simplify]: Simplify (* 1/3 (log (- alpha))) into (* 1/3 (log (- alpha)))
66.343 * [backup-simplify]: Simplify (exp (* 1/3 (log (- alpha)))) into (pow (- alpha) 1/3)
66.343 * [taylor]: Taking taylor expansion of (pow (- beta alpha) 1/3) in beta
66.343 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- beta alpha)))) in beta
66.343 * [taylor]: Taking taylor expansion of (* 1/3 (log (- beta alpha))) in beta
66.343 * [taylor]: Taking taylor expansion of 1/3 in beta
66.343 * [backup-simplify]: Simplify 1/3 into 1/3
66.343 * [taylor]: Taking taylor expansion of (log (- beta alpha)) in beta
66.343 * [taylor]: Taking taylor expansion of (- beta alpha) in beta
66.343 * [taylor]: Taking taylor expansion of beta in beta
66.343 * [backup-simplify]: Simplify 0 into 0
66.343 * [backup-simplify]: Simplify 1 into 1
66.343 * [taylor]: Taking taylor expansion of alpha in beta
66.343 * [backup-simplify]: Simplify alpha into alpha
66.343 * [backup-simplify]: Simplify (- alpha) into (- alpha)
66.343 * [backup-simplify]: Simplify (+ 0 (- alpha)) into (- alpha)
66.344 * [backup-simplify]: Simplify (log (- alpha)) into (log (- alpha))
66.344 * [backup-simplify]: Simplify (* 1/3 (log (- alpha))) into (* 1/3 (log (- alpha)))
66.344 * [backup-simplify]: Simplify (exp (* 1/3 (log (- alpha)))) into (pow (- alpha) 1/3)
66.344 * [taylor]: Taking taylor expansion of (pow (- alpha) 1/3) in alpha
66.344 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- alpha)))) in alpha
66.344 * [taylor]: Taking taylor expansion of (* 1/3 (log (- alpha))) in alpha
66.344 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.344 * [backup-simplify]: Simplify 1/3 into 1/3
66.344 * [taylor]: Taking taylor expansion of (log (- alpha)) in alpha
66.344 * [taylor]: Taking taylor expansion of (- alpha) in alpha
66.344 * [taylor]: Taking taylor expansion of alpha in alpha
66.344 * [backup-simplify]: Simplify 0 into 0
66.344 * [backup-simplify]: Simplify 1 into 1
66.345 * [backup-simplify]: Simplify (- 0) into 0
66.346 * [backup-simplify]: Simplify (- 1) into -1
66.346 * [backup-simplify]: Simplify (- 1) into -1
66.346 * [backup-simplify]: Simplify (log -1) into (log -1)
66.347 * [backup-simplify]: Simplify (+ (* (- -1) (log alpha)) (log -1)) into (+ (log -1) (log alpha))
66.348 * [backup-simplify]: Simplify (* 1/3 (+ (log -1) (log alpha))) into (* 1/3 (+ (log -1) (log alpha)))
66.348 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1) (log alpha)))) into (exp (* 1/3 (+ (log -1) (log alpha))))
66.349 * [backup-simplify]: Simplify (exp (* 1/3 (+ (log -1) (log alpha)))) into (exp (* 1/3 (+ (log -1) (log alpha))))
66.349 * [backup-simplify]: Simplify (- 0) into 0
66.350 * [backup-simplify]: Simplify (+ 1 0) into 1
66.351 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (- alpha) 1)))) 1) into (/ -1 alpha)
66.351 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 alpha)) (* 0 (log (- alpha)))) into (- (* 1/3 (/ 1 alpha)))
66.351 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- alpha)))) (+ (* (/ (pow (- (* 1/3 (/ 1 alpha))) 1) 1)))) into (* -1/3 (pow (/ -1 (pow alpha 2)) 1/3))
66.351 * [taylor]: Taking taylor expansion of (* -1/3 (pow (/ -1 (pow alpha 2)) 1/3)) in alpha
66.351 * [taylor]: Taking taylor expansion of -1/3 in alpha
66.351 * [backup-simplify]: Simplify -1/3 into -1/3
66.351 * [taylor]: Taking taylor expansion of (pow (/ -1 (pow alpha 2)) 1/3) in alpha
66.351 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow alpha 2))))) in alpha
66.351 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 (pow alpha 2)))) in alpha
66.352 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.352 * [backup-simplify]: Simplify 1/3 into 1/3
66.352 * [taylor]: Taking taylor expansion of (log (/ -1 (pow alpha 2))) in alpha
66.352 * [taylor]: Taking taylor expansion of (/ -1 (pow alpha 2)) in alpha
66.352 * [taylor]: Taking taylor expansion of -1 in alpha
66.352 * [backup-simplify]: Simplify -1 into -1
66.352 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
66.352 * [taylor]: Taking taylor expansion of alpha in alpha
66.352 * [backup-simplify]: Simplify 0 into 0
66.352 * [backup-simplify]: Simplify 1 into 1
66.352 * [backup-simplify]: Simplify (* 1 1) into 1
66.353 * [backup-simplify]: Simplify (/ -1 1) into -1
66.353 * [backup-simplify]: Simplify (log -1) into (log -1)
66.354 * [backup-simplify]: Simplify (+ (* (- 2) (log alpha)) (log -1)) into (- (log -1) (* 2 (log alpha)))
66.354 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 2 (log alpha)))) into (* 1/3 (- (log -1) (* 2 (log alpha))))
66.355 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 2 (log alpha))))) into (exp (* 1/3 (- (log -1) (* 2 (log alpha)))))
66.356 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log alpha)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log alpha))))))
66.356 * [backup-simplify]: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log alpha)))))) into (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log alpha))))))
66.357 * [backup-simplify]: Simplify (- 0) into 0
66.357 * [backup-simplify]: Simplify (- 1) into -1
66.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
66.359 * [backup-simplify]: Simplify (+ (* (- -1) (log alpha)) (log -1)) into (+ (log -1) (log alpha))
66.360 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (+ (log -1) (log alpha)))) into 0
66.361 * [backup-simplify]: Simplify (* (exp (* 1/3 (+ (log -1) (log alpha)))) (+ (* (/ (pow 0 1) 1)))) into 0
66.362 * [backup-simplify]: Simplify 0 into 0
66.362 * [backup-simplify]: Simplify (- 0) into 0
66.362 * [backup-simplify]: Simplify (+ 0 0) into 0
66.364 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (- alpha) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (- alpha) 1)))) 2) into (/ -1/2 (pow alpha 2))
66.365 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow alpha 2))) (+ (* 0 (/ -1 alpha)) (* 0 (log (- alpha))))) into (- (* 1/6 (/ 1 (pow alpha 2))))
66.366 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (- alpha)))) (+ (* (/ (pow (- (* 1/3 (/ 1 alpha))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow alpha 2)))) 1) 1)))) into (* -1/9 (pow (/ -1 (pow alpha 5)) 1/3))
66.366 * [taylor]: Taking taylor expansion of (* -1/9 (pow (/ -1 (pow alpha 5)) 1/3)) in alpha
66.366 * [taylor]: Taking taylor expansion of -1/9 in alpha
66.366 * [backup-simplify]: Simplify -1/9 into -1/9
66.366 * [taylor]: Taking taylor expansion of (pow (/ -1 (pow alpha 5)) 1/3) in alpha
66.366 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ -1 (pow alpha 5))))) in alpha
66.366 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ -1 (pow alpha 5)))) in alpha
66.366 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.366 * [backup-simplify]: Simplify 1/3 into 1/3
66.366 * [taylor]: Taking taylor expansion of (log (/ -1 (pow alpha 5))) in alpha
66.366 * [taylor]: Taking taylor expansion of (/ -1 (pow alpha 5)) in alpha
66.366 * [taylor]: Taking taylor expansion of -1 in alpha
66.366 * [backup-simplify]: Simplify -1 into -1
66.366 * [taylor]: Taking taylor expansion of (pow alpha 5) in alpha
66.366 * [taylor]: Taking taylor expansion of alpha in alpha
66.366 * [backup-simplify]: Simplify 0 into 0
66.366 * [backup-simplify]: Simplify 1 into 1
66.367 * [backup-simplify]: Simplify (* 1 1) into 1
66.367 * [backup-simplify]: Simplify (* 1 1) into 1
66.367 * [backup-simplify]: Simplify (* 1 1) into 1
66.368 * [backup-simplify]: Simplify (/ -1 1) into -1
66.368 * [backup-simplify]: Simplify (log -1) into (log -1)
66.369 * [backup-simplify]: Simplify (+ (* (- 5) (log alpha)) (log -1)) into (- (log -1) (* 5 (log alpha)))
66.369 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (* 5 (log alpha)))) into (* 1/3 (- (log -1) (* 5 (log alpha))))
66.370 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (* 5 (log alpha))))) into (exp (* 1/3 (- (log -1) (* 5 (log alpha)))))
66.371 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log alpha)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log alpha))))))
66.371 * [backup-simplify]: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log alpha)))))) into (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log alpha))))))
66.373 * [backup-simplify]: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (* 5 (log alpha)))))) (pow (* 1 beta) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (* 2 (log alpha)))))) (* 1 beta)) (exp (* 1/3 (+ (log -1) (log alpha)))))) into (- (exp (* 1/3 (+ (log -1) (log alpha)))) (+ (* 1/9 (* (exp (* 1/3 (- (log -1) (* 5 (log alpha))))) (pow beta 2))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log alpha))))) beta))))
66.373 * [backup-simplify]: Simplify (cbrt (- (/ 1 beta) (/ 1 alpha))) into (pow (- (/ 1 beta) (/ 1 alpha)) 1/3)
66.373 * [approximate]: Taking taylor expansion of (pow (- (/ 1 beta) (/ 1 alpha)) 1/3) in (beta alpha) around 0
66.373 * [taylor]: Taking taylor expansion of (pow (- (/ 1 beta) (/ 1 alpha)) 1/3) in alpha
66.373 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 beta) (/ 1 alpha))))) in alpha
66.373 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 beta) (/ 1 alpha)))) in alpha
66.373 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.373 * [backup-simplify]: Simplify 1/3 into 1/3
66.373 * [taylor]: Taking taylor expansion of (log (- (/ 1 beta) (/ 1 alpha))) in alpha
66.373 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in alpha
66.373 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.373 * [taylor]: Taking taylor expansion of beta in alpha
66.373 * [backup-simplify]: Simplify beta into beta
66.373 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.373 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.374 * [taylor]: Taking taylor expansion of alpha in alpha
66.374 * [backup-simplify]: Simplify 0 into 0
66.374 * [backup-simplify]: Simplify 1 into 1
66.374 * [backup-simplify]: Simplify (/ 1 1) into 1
66.375 * [backup-simplify]: Simplify (- 1) into -1
66.375 * [backup-simplify]: Simplify (+ 0 -1) into -1
66.376 * [backup-simplify]: Simplify (log -1) into (log -1)
66.377 * [backup-simplify]: Simplify (+ (* (- 1) (log alpha)) (log -1)) into (- (log -1) (log alpha))
66.377 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log alpha))) into (* 1/3 (- (log -1) (log alpha)))
66.378 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log alpha)))) into (exp (* 1/3 (- (log -1) (log alpha))))
66.378 * [taylor]: Taking taylor expansion of (pow (- (/ 1 beta) (/ 1 alpha)) 1/3) in beta
66.378 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 beta) (/ 1 alpha))))) in beta
66.378 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 beta) (/ 1 alpha)))) in beta
66.378 * [taylor]: Taking taylor expansion of 1/3 in beta
66.378 * [backup-simplify]: Simplify 1/3 into 1/3
66.378 * [taylor]: Taking taylor expansion of (log (- (/ 1 beta) (/ 1 alpha))) in beta
66.378 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
66.378 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.378 * [taylor]: Taking taylor expansion of beta in beta
66.378 * [backup-simplify]: Simplify 0 into 0
66.378 * [backup-simplify]: Simplify 1 into 1
66.378 * [backup-simplify]: Simplify (/ 1 1) into 1
66.378 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
66.379 * [taylor]: Taking taylor expansion of alpha in beta
66.379 * [backup-simplify]: Simplify alpha into alpha
66.379 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.379 * [backup-simplify]: Simplify (+ 1 0) into 1
66.379 * [backup-simplify]: Simplify (log 1) into 0
66.380 * [backup-simplify]: Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
66.380 * [backup-simplify]: Simplify (* 1/3 (- (log beta))) into (* -1/3 (log beta))
66.380 * [backup-simplify]: Simplify (exp (* -1/3 (log beta))) into (pow beta -1/3)
66.380 * [taylor]: Taking taylor expansion of (pow (- (/ 1 beta) (/ 1 alpha)) 1/3) in beta
66.380 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 beta) (/ 1 alpha))))) in beta
66.380 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 beta) (/ 1 alpha)))) in beta
66.380 * [taylor]: Taking taylor expansion of 1/3 in beta
66.380 * [backup-simplify]: Simplify 1/3 into 1/3
66.380 * [taylor]: Taking taylor expansion of (log (- (/ 1 beta) (/ 1 alpha))) in beta
66.380 * [taylor]: Taking taylor expansion of (- (/ 1 beta) (/ 1 alpha)) in beta
66.380 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.380 * [taylor]: Taking taylor expansion of beta in beta
66.380 * [backup-simplify]: Simplify 0 into 0
66.380 * [backup-simplify]: Simplify 1 into 1
66.388 * [backup-simplify]: Simplify (/ 1 1) into 1
66.388 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
66.388 * [taylor]: Taking taylor expansion of alpha in beta
66.388 * [backup-simplify]: Simplify alpha into alpha
66.388 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.389 * [backup-simplify]: Simplify (+ 1 0) into 1
66.389 * [backup-simplify]: Simplify (log 1) into 0
66.390 * [backup-simplify]: Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
66.390 * [backup-simplify]: Simplify (* 1/3 (- (log beta))) into (* -1/3 (log beta))
66.390 * [backup-simplify]: Simplify (exp (* -1/3 (log beta))) into (pow beta -1/3)
66.390 * [taylor]: Taking taylor expansion of (pow beta -1/3) in alpha
66.390 * [taylor]: Taking taylor expansion of (exp (* -1/3 (log beta))) in alpha
66.390 * [taylor]: Taking taylor expansion of (* -1/3 (log beta)) in alpha
66.390 * [taylor]: Taking taylor expansion of -1/3 in alpha
66.390 * [backup-simplify]: Simplify -1/3 into -1/3
66.390 * [taylor]: Taking taylor expansion of (log beta) in alpha
66.390 * [taylor]: Taking taylor expansion of beta in alpha
66.390 * [backup-simplify]: Simplify beta into beta
66.390 * [backup-simplify]: Simplify (log beta) into (log beta)
66.391 * [backup-simplify]: Simplify (* -1/3 (log beta)) into (* -1/3 (log beta))
66.391 * [backup-simplify]: Simplify (exp (* -1/3 (log beta))) into (pow beta -1/3)
66.391 * [backup-simplify]: Simplify (pow beta -1/3) into (pow beta -1/3)
66.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.392 * [backup-simplify]: Simplify (- (/ 1 alpha)) into (- (/ 1 alpha))
66.392 * [backup-simplify]: Simplify (+ 0 (- (/ 1 alpha))) into (- (/ 1 alpha))
66.393 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (/ 1 alpha))) 1)) (pow 1 1)))) 1) into (/ -1 alpha)
66.393 * [backup-simplify]: Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
66.393 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 alpha)) (* 0 (- (log beta)))) into (- (* 1/3 (/ 1 alpha)))
66.394 * [backup-simplify]: Simplify (* (exp (* -1/3 (log beta))) (+ (* (/ (pow (- (* 1/3 (/ 1 alpha))) 1) 1)))) into (* -1/3 (* (/ 1 alpha) (pow (/ 1 beta) 1/3)))
66.394 * [taylor]: Taking taylor expansion of (* -1/3 (* (/ 1 alpha) (pow (/ 1 beta) 1/3))) in alpha
66.394 * [taylor]: Taking taylor expansion of -1/3 in alpha
66.394 * [backup-simplify]: Simplify -1/3 into -1/3
66.394 * [taylor]: Taking taylor expansion of (* (/ 1 alpha) (pow (/ 1 beta) 1/3)) in alpha
66.394 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.394 * [taylor]: Taking taylor expansion of alpha in alpha
66.394 * [backup-simplify]: Simplify 0 into 0
66.394 * [backup-simplify]: Simplify 1 into 1
66.394 * [backup-simplify]: Simplify (/ 1 1) into 1
66.394 * [taylor]: Taking taylor expansion of (pow (/ 1 beta) 1/3) in alpha
66.394 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 beta)))) in alpha
66.394 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 beta))) in alpha
66.394 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.394 * [backup-simplify]: Simplify 1/3 into 1/3
66.394 * [taylor]: Taking taylor expansion of (log (/ 1 beta)) in alpha
66.395 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.395 * [taylor]: Taking taylor expansion of beta in alpha
66.395 * [backup-simplify]: Simplify beta into beta
66.395 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.395 * [backup-simplify]: Simplify (log (/ 1 beta)) into (log (/ 1 beta))
66.395 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 beta))) into (* 1/3 (log (/ 1 beta)))
66.395 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 beta)))) into (pow (/ 1 beta) 1/3)
66.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
66.396 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 beta) 1)))) 1) into 0
66.397 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 beta)))) into 0
66.397 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
66.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 beta) 1/3))) into 0
66.399 * [backup-simplify]: Simplify (* 1 (pow (/ 1 beta) 1/3)) into (pow (/ 1 beta) 1/3)
66.400 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (pow (/ 1 beta) 1/3))) into 0
66.400 * [backup-simplify]: Simplify 0 into 0
66.400 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
66.401 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (log beta))) into 0
66.402 * [backup-simplify]: Simplify (* (exp (* -1/3 (log beta))) (+ (* (/ (pow 0 1) 1)))) into 0
66.402 * [backup-simplify]: Simplify 0 into 0
66.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
66.403 * [backup-simplify]: Simplify (- 0) into 0
66.404 * [backup-simplify]: Simplify (+ 0 0) into 0
66.406 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (/ 1 alpha))) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into (/ -1/2 (pow alpha 2))
66.406 * [backup-simplify]: Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
66.407 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow alpha 2))) (+ (* 0 (/ -1 alpha)) (* 0 (- (log beta))))) into (- (* 1/6 (/ 1 (pow alpha 2))))
66.407 * [backup-simplify]: Simplify (* (exp (* -1/3 (log beta))) (+ (* (/ (pow (- (* 1/3 (/ 1 alpha))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow alpha 2)))) 1) 1)))) into (* -1/9 (* (/ 1 (pow alpha 2)) (pow (/ 1 beta) 1/3)))
66.407 * [taylor]: Taking taylor expansion of (* -1/9 (* (/ 1 (pow alpha 2)) (pow (/ 1 beta) 1/3))) in alpha
66.407 * [taylor]: Taking taylor expansion of -1/9 in alpha
66.408 * [backup-simplify]: Simplify -1/9 into -1/9
66.408 * [taylor]: Taking taylor expansion of (* (/ 1 (pow alpha 2)) (pow (/ 1 beta) 1/3)) in alpha
66.408 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 2)) in alpha
66.408 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
66.408 * [taylor]: Taking taylor expansion of alpha in alpha
66.408 * [backup-simplify]: Simplify 0 into 0
66.408 * [backup-simplify]: Simplify 1 into 1
66.408 * [backup-simplify]: Simplify (* 1 1) into 1
66.409 * [backup-simplify]: Simplify (/ 1 1) into 1
66.409 * [taylor]: Taking taylor expansion of (pow (/ 1 beta) 1/3) in alpha
66.409 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 beta)))) in alpha
66.409 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 beta))) in alpha
66.409 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.409 * [backup-simplify]: Simplify 1/3 into 1/3
66.409 * [taylor]: Taking taylor expansion of (log (/ 1 beta)) in alpha
66.409 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.409 * [taylor]: Taking taylor expansion of beta in alpha
66.409 * [backup-simplify]: Simplify beta into beta
66.409 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.409 * [backup-simplify]: Simplify (log (/ 1 beta)) into (log (/ 1 beta))
66.409 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 beta))) into (* 1/3 (log (/ 1 beta)))
66.409 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 beta)))) into (pow (/ 1 beta) 1/3)
66.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
66.410 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 beta) 1)))) 1) into 0
66.411 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 beta)))) into 0
66.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
66.413 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 beta) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 beta) 1)))) 2) into 0
66.414 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 beta))))) into 0
66.415 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
66.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.417 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
66.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 beta) 1/3)))) into 0
66.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 beta) 1/3))) into 0
66.421 * [backup-simplify]: Simplify (* 1 (pow (/ 1 beta) 1/3)) into (pow (/ 1 beta) 1/3)
66.422 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (pow (/ 1 beta) 1/3)))) into 0
66.422 * [backup-simplify]: Simplify 0 into 0
66.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
66.424 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 beta) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 beta) 1)))) 2) into 0
66.425 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 beta))))) into 0
66.427 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
66.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 beta) 1/3)))) into 0
66.429 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (pow (/ 1 beta) 1/3)))) into 0
66.429 * [backup-simplify]: Simplify 0 into 0
66.431 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
66.432 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (log beta)))) into 0
66.433 * [backup-simplify]: Simplify (* (exp (* -1/3 (log beta))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
66.433 * [backup-simplify]: Simplify 0 into 0
66.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
66.436 * [backup-simplify]: Simplify (- 0) into 0
66.436 * [backup-simplify]: Simplify (+ 0 0) into 0
66.439 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (- (/ 1 alpha))) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 (- (/ 1 alpha))) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into (/ -1/3 (pow alpha 3))
66.440 * [backup-simplify]: Simplify (+ (* (- 1) (log beta)) 0) into (- (log beta))
66.440 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/3 (pow alpha 3))) (+ (* 0 (/ -1/2 (pow alpha 2))) (+ (* 0 (/ -1 alpha)) (* 0 (- (log beta)))))) into (- (* 1/9 (/ 1 (pow alpha 3))))
66.442 * [backup-simplify]: Simplify (* (exp (* -1/3 (log beta))) (+ (* (/ (pow (- (* 1/3 (/ 1 alpha))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 alpha))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow alpha 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow alpha 3)))) 1) 1)))) into (* -5/81 (* (/ 1 (pow alpha 3)) (pow (/ 1 beta) 1/3)))
66.442 * [taylor]: Taking taylor expansion of (* -5/81 (* (/ 1 (pow alpha 3)) (pow (/ 1 beta) 1/3))) in alpha
66.442 * [taylor]: Taking taylor expansion of -5/81 in alpha
66.442 * [backup-simplify]: Simplify -5/81 into -5/81
66.442 * [taylor]: Taking taylor expansion of (* (/ 1 (pow alpha 3)) (pow (/ 1 beta) 1/3)) in alpha
66.442 * [taylor]: Taking taylor expansion of (/ 1 (pow alpha 3)) in alpha
66.442 * [taylor]: Taking taylor expansion of (pow alpha 3) in alpha
66.442 * [taylor]: Taking taylor expansion of alpha in alpha
66.442 * [backup-simplify]: Simplify 0 into 0
66.442 * [backup-simplify]: Simplify 1 into 1
66.443 * [backup-simplify]: Simplify (* 1 1) into 1
66.443 * [backup-simplify]: Simplify (* 1 1) into 1
66.443 * [backup-simplify]: Simplify (/ 1 1) into 1
66.443 * [taylor]: Taking taylor expansion of (pow (/ 1 beta) 1/3) in alpha
66.443 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (/ 1 beta)))) in alpha
66.443 * [taylor]: Taking taylor expansion of (* 1/3 (log (/ 1 beta))) in alpha
66.443 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.444 * [backup-simplify]: Simplify 1/3 into 1/3
66.444 * [taylor]: Taking taylor expansion of (log (/ 1 beta)) in alpha
66.444 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.444 * [taylor]: Taking taylor expansion of beta in alpha
66.444 * [backup-simplify]: Simplify beta into beta
66.444 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.444 * [backup-simplify]: Simplify (log (/ 1 beta)) into (log (/ 1 beta))
66.444 * [backup-simplify]: Simplify (* 1/3 (log (/ 1 beta))) into (* 1/3 (log (/ 1 beta)))
66.444 * [backup-simplify]: Simplify (exp (* 1/3 (log (/ 1 beta)))) into (pow (/ 1 beta) 1/3)
66.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)))) into 0
66.445 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (/ 1 beta) 1)))) 1) into 0
66.446 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (log (/ 1 beta)))) into 0
66.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
66.448 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (/ 1 beta) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (/ 1 beta) 1)))) 2) into 0
66.449 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (/ 1 beta))))) into 0
66.449 * [backup-simplify]: Simplify (- (+ (* (/ 1 beta) (/ 0 beta)) (* 0 (/ 0 beta)) (* 0 (/ 0 beta)))) into 0
66.452 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (/ 1 beta) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (/ 1 beta) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (/ 1 beta) 1)))) 6) into 0
66.453 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (/ 1 beta)))))) into 0
66.455 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 beta)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
66.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.458 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
66.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.460 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.462 * [backup-simplify]: Simplify (* (exp (* 1/3 (log (/ 1 beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
66.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 beta) 1/3))))) into 0
66.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow (/ 1 beta) 1/3)))) into 0
66.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow (/ 1 beta) 1/3))) into 0
66.468 * [backup-simplify]: Simplify (* 1 (pow (/ 1 beta) 1/3)) into (pow (/ 1 beta) 1/3)
66.469 * [backup-simplify]: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (/ 1 beta) 1/3))))) into 0
66.469 * [backup-simplify]: Simplify 0 into 0
66.469 * [backup-simplify]: Simplify (pow (/ 1 beta) -1/3) into (pow (/ 1 beta) -1/3)
66.470 * [backup-simplify]: Simplify (cbrt (- (/ 1 (- beta)) (/ 1 (- alpha)))) into (pow (- (/ 1 alpha) (/ 1 beta)) 1/3)
66.470 * [approximate]: Taking taylor expansion of (pow (- (/ 1 alpha) (/ 1 beta)) 1/3) in (beta alpha) around 0
66.470 * [taylor]: Taking taylor expansion of (pow (- (/ 1 alpha) (/ 1 beta)) 1/3) in alpha
66.470 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 alpha) (/ 1 beta))))) in alpha
66.470 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 alpha) (/ 1 beta)))) in alpha
66.470 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.470 * [backup-simplify]: Simplify 1/3 into 1/3
66.470 * [taylor]: Taking taylor expansion of (log (- (/ 1 alpha) (/ 1 beta))) in alpha
66.470 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in alpha
66.470 * [taylor]: Taking taylor expansion of (/ 1 alpha) in alpha
66.470 * [taylor]: Taking taylor expansion of alpha in alpha
66.470 * [backup-simplify]: Simplify 0 into 0
66.470 * [backup-simplify]: Simplify 1 into 1
66.470 * [backup-simplify]: Simplify (/ 1 1) into 1
66.470 * [taylor]: Taking taylor expansion of (/ 1 beta) in alpha
66.470 * [taylor]: Taking taylor expansion of beta in alpha
66.470 * [backup-simplify]: Simplify beta into beta
66.470 * [backup-simplify]: Simplify (/ 1 beta) into (/ 1 beta)
66.471 * [backup-simplify]: Simplify (+ 1 0) into 1
66.471 * [backup-simplify]: Simplify (log 1) into 0
66.472 * [backup-simplify]: Simplify (+ (* (- 1) (log alpha)) 0) into (- (log alpha))
66.472 * [backup-simplify]: Simplify (* 1/3 (- (log alpha))) into (* -1/3 (log alpha))
66.472 * [backup-simplify]: Simplify (exp (* -1/3 (log alpha))) into (pow alpha -1/3)
66.472 * [taylor]: Taking taylor expansion of (pow (- (/ 1 alpha) (/ 1 beta)) 1/3) in beta
66.472 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 alpha) (/ 1 beta))))) in beta
66.472 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 alpha) (/ 1 beta)))) in beta
66.472 * [taylor]: Taking taylor expansion of 1/3 in beta
66.472 * [backup-simplify]: Simplify 1/3 into 1/3
66.472 * [taylor]: Taking taylor expansion of (log (- (/ 1 alpha) (/ 1 beta))) in beta
66.472 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
66.472 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
66.472 * [taylor]: Taking taylor expansion of alpha in beta
66.472 * [backup-simplify]: Simplify alpha into alpha
66.472 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.472 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.472 * [taylor]: Taking taylor expansion of beta in beta
66.472 * [backup-simplify]: Simplify 0 into 0
66.472 * [backup-simplify]: Simplify 1 into 1
66.473 * [backup-simplify]: Simplify (/ 1 1) into 1
66.473 * [backup-simplify]: Simplify (- 1) into -1
66.474 * [backup-simplify]: Simplify (+ 0 -1) into -1
66.474 * [backup-simplify]: Simplify (log -1) into (log -1)
66.475 * [backup-simplify]: Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
66.476 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log beta))) into (* 1/3 (- (log -1) (log beta)))
66.476 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log beta)))) into (exp (* 1/3 (- (log -1) (log beta))))
66.476 * [taylor]: Taking taylor expansion of (pow (- (/ 1 alpha) (/ 1 beta)) 1/3) in beta
66.476 * [taylor]: Taking taylor expansion of (exp (* 1/3 (log (- (/ 1 alpha) (/ 1 beta))))) in beta
66.476 * [taylor]: Taking taylor expansion of (* 1/3 (log (- (/ 1 alpha) (/ 1 beta)))) in beta
66.476 * [taylor]: Taking taylor expansion of 1/3 in beta
66.476 * [backup-simplify]: Simplify 1/3 into 1/3
66.476 * [taylor]: Taking taylor expansion of (log (- (/ 1 alpha) (/ 1 beta))) in beta
66.476 * [taylor]: Taking taylor expansion of (- (/ 1 alpha) (/ 1 beta)) in beta
66.476 * [taylor]: Taking taylor expansion of (/ 1 alpha) in beta
66.476 * [taylor]: Taking taylor expansion of alpha in beta
66.476 * [backup-simplify]: Simplify alpha into alpha
66.476 * [backup-simplify]: Simplify (/ 1 alpha) into (/ 1 alpha)
66.477 * [taylor]: Taking taylor expansion of (/ 1 beta) in beta
66.477 * [taylor]: Taking taylor expansion of beta in beta
66.477 * [backup-simplify]: Simplify 0 into 0
66.477 * [backup-simplify]: Simplify 1 into 1
66.477 * [backup-simplify]: Simplify (/ 1 1) into 1
66.477 * [backup-simplify]: Simplify (- 1) into -1
66.478 * [backup-simplify]: Simplify (+ 0 -1) into -1
66.478 * [backup-simplify]: Simplify (log -1) into (log -1)
66.479 * [backup-simplify]: Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
66.480 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log beta))) into (* 1/3 (- (log -1) (log beta)))
66.480 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log beta)))) into (exp (* 1/3 (- (log -1) (log beta))))
66.480 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log beta)))) in alpha
66.480 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log beta))) in alpha
66.480 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.480 * [backup-simplify]: Simplify 1/3 into 1/3
66.480 * [taylor]: Taking taylor expansion of (- (log -1) (log beta)) in alpha
66.480 * [taylor]: Taking taylor expansion of (log -1) in alpha
66.480 * [taylor]: Taking taylor expansion of -1 in alpha
66.480 * [backup-simplify]: Simplify -1 into -1
66.481 * [backup-simplify]: Simplify (log -1) into (log -1)
66.481 * [taylor]: Taking taylor expansion of (log beta) in alpha
66.481 * [taylor]: Taking taylor expansion of beta in alpha
66.481 * [backup-simplify]: Simplify beta into beta
66.481 * [backup-simplify]: Simplify (log beta) into (log beta)
66.481 * [backup-simplify]: Simplify (- (log beta)) into (- (log beta))
66.482 * [backup-simplify]: Simplify (+ (log -1) (- (log beta))) into (- (log -1) (log beta))
66.482 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log beta))) into (* 1/3 (- (log -1) (log beta)))
66.483 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log beta)))) into (exp (* 1/3 (- (log -1) (log beta))))
66.483 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log beta)))) into (exp (* 1/3 (- (log -1) (log beta))))
66.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
66.485 * [backup-simplify]: Simplify (- 0) into 0
66.485 * [backup-simplify]: Simplify (+ (/ 1 alpha) 0) into (/ 1 alpha)
66.485 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ 1 alpha)) 1)) (pow -1 1)))) 1) into (/ -1 alpha)
66.486 * [backup-simplify]: Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
66.487 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1 alpha)) (* 0 (- (log -1) (log beta)))) into (- (* 1/3 (/ 1 alpha)))
66.488 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow (- (* 1/3 (/ 1 alpha))) 1) 1)))) into (* -1/3 (/ (exp (* 1/3 (- (log -1) (log beta)))) alpha))
66.488 * [taylor]: Taking taylor expansion of (* -1/3 (/ (exp (* 1/3 (- (log -1) (log beta)))) alpha)) in alpha
66.488 * [taylor]: Taking taylor expansion of -1/3 in alpha
66.488 * [backup-simplify]: Simplify -1/3 into -1/3
66.488 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log beta)))) alpha) in alpha
66.488 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log beta)))) in alpha
66.488 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log beta))) in alpha
66.488 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.488 * [backup-simplify]: Simplify 1/3 into 1/3
66.488 * [taylor]: Taking taylor expansion of (- (log -1) (log beta)) in alpha
66.488 * [taylor]: Taking taylor expansion of (log -1) in alpha
66.488 * [taylor]: Taking taylor expansion of -1 in alpha
66.488 * [backup-simplify]: Simplify -1 into -1
66.489 * [backup-simplify]: Simplify (log -1) into (log -1)
66.489 * [taylor]: Taking taylor expansion of (log beta) in alpha
66.489 * [taylor]: Taking taylor expansion of beta in alpha
66.489 * [backup-simplify]: Simplify beta into beta
66.489 * [backup-simplify]: Simplify (log beta) into (log beta)
66.489 * [backup-simplify]: Simplify (- (log beta)) into (- (log beta))
66.489 * [backup-simplify]: Simplify (+ (log -1) (- (log beta))) into (- (log -1) (log beta))
66.490 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log beta))) into (* 1/3 (- (log -1) (log beta)))
66.490 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log beta)))) into (exp (* 1/3 (- (log -1) (log beta))))
66.490 * [taylor]: Taking taylor expansion of alpha in alpha
66.490 * [backup-simplify]: Simplify 0 into 0
66.490 * [backup-simplify]: Simplify 1 into 1
66.491 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log -1) (log beta)))) 1) into (exp (* 1/3 (- (log -1) (log beta))))
66.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
66.493 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
66.494 * [backup-simplify]: Simplify (- 0) into 0
66.494 * [backup-simplify]: Simplify (+ 0 0) into 0
66.495 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log beta)))) into 0
66.496 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
66.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log beta)))) (/ 0 1)))) into 0
66.499 * [backup-simplify]: Simplify (+ (* -1/3 0) (* 0 (exp (* 1/3 (- (log -1) (log beta)))))) into 0
66.499 * [backup-simplify]: Simplify 0 into 0
66.500 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
66.501 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
66.502 * [backup-simplify]: Simplify (- 0) into 0
66.502 * [backup-simplify]: Simplify (+ 0 0) into 0
66.503 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log beta)))) into 0
66.504 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
66.504 * [backup-simplify]: Simplify 0 into 0
66.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)))) into 0
66.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.506 * [backup-simplify]: Simplify (- 0) into 0
66.506 * [backup-simplify]: Simplify (+ 0 0) into 0
66.508 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ 1 alpha)) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into (/ -1/2 (pow alpha 2))
66.509 * [backup-simplify]: Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
66.510 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/2 (pow alpha 2))) (+ (* 0 (/ -1 alpha)) (* 0 (- (log -1) (log beta))))) into (- (* 1/6 (/ 1 (pow alpha 2))))
66.511 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow (- (* 1/3 (/ 1 alpha))) 2) 2)) (* (/ (pow (- (* 1/6 (/ 1 (pow alpha 2)))) 1) 1)))) into (* -1/9 (/ (exp (* 1/3 (- (log -1) (log beta)))) (pow alpha 2)))
66.511 * [taylor]: Taking taylor expansion of (* -1/9 (/ (exp (* 1/3 (- (log -1) (log beta)))) (pow alpha 2))) in alpha
66.511 * [taylor]: Taking taylor expansion of -1/9 in alpha
66.511 * [backup-simplify]: Simplify -1/9 into -1/9
66.511 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log beta)))) (pow alpha 2)) in alpha
66.511 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log beta)))) in alpha
66.511 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log beta))) in alpha
66.511 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.511 * [backup-simplify]: Simplify 1/3 into 1/3
66.511 * [taylor]: Taking taylor expansion of (- (log -1) (log beta)) in alpha
66.511 * [taylor]: Taking taylor expansion of (log -1) in alpha
66.511 * [taylor]: Taking taylor expansion of -1 in alpha
66.511 * [backup-simplify]: Simplify -1 into -1
66.512 * [backup-simplify]: Simplify (log -1) into (log -1)
66.512 * [taylor]: Taking taylor expansion of (log beta) in alpha
66.512 * [taylor]: Taking taylor expansion of beta in alpha
66.512 * [backup-simplify]: Simplify beta into beta
66.512 * [backup-simplify]: Simplify (log beta) into (log beta)
66.512 * [backup-simplify]: Simplify (- (log beta)) into (- (log beta))
66.512 * [backup-simplify]: Simplify (+ (log -1) (- (log beta))) into (- (log -1) (log beta))
66.513 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log beta))) into (* 1/3 (- (log -1) (log beta)))
66.513 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log beta)))) into (exp (* 1/3 (- (log -1) (log beta))))
66.513 * [taylor]: Taking taylor expansion of (pow alpha 2) in alpha
66.513 * [taylor]: Taking taylor expansion of alpha in alpha
66.513 * [backup-simplify]: Simplify 0 into 0
66.513 * [backup-simplify]: Simplify 1 into 1
66.514 * [backup-simplify]: Simplify (* 1 1) into 1
66.514 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log -1) (log beta)))) 1) into (exp (* 1/3 (- (log -1) (log beta))))
66.516 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
66.517 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
66.517 * [backup-simplify]: Simplify (- 0) into 0
66.517 * [backup-simplify]: Simplify (+ 0 0) into 0
66.518 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log beta)))) into 0
66.521 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
66.523 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
66.524 * [backup-simplify]: Simplify (- 0) into 0
66.524 * [backup-simplify]: Simplify (+ 0 0) into 0
66.525 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log beta))))) into 0
66.527 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
66.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.529 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
66.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log beta)))) (/ 0 1)))) into 0
66.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log beta)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.534 * [backup-simplify]: Simplify (+ (* -1/9 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log beta))))))) into 0
66.534 * [backup-simplify]: Simplify 0 into 0
66.537 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
66.539 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
66.540 * [backup-simplify]: Simplify (- 0) into 0
66.540 * [backup-simplify]: Simplify (+ 0 0) into 0
66.541 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log beta))))) into 0
66.551 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
66.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log beta)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.555 * [backup-simplify]: Simplify (+ (* -1/3 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log beta))))))) into 0
66.555 * [backup-simplify]: Simplify 0 into 0
66.558 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
66.560 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
66.560 * [backup-simplify]: Simplify (- 0) into 0
66.561 * [backup-simplify]: Simplify (+ 0 0) into 0
66.562 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log beta))))) into 0
66.564 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
66.564 * [backup-simplify]: Simplify 0 into 0
66.564 * [backup-simplify]: Simplify (- (+ (* (/ 1 alpha) (/ 0 alpha)) (* 0 (/ 0 alpha)))) into 0
66.565 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.565 * [backup-simplify]: Simplify (- 0) into 0
66.566 * [backup-simplify]: Simplify (+ 0 0) into 0
66.569 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 (/ 1 alpha)) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 (/ 1 alpha)) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into (/ -1/3 (pow alpha 3))
66.570 * [backup-simplify]: Simplify (+ (* (- 1) (log beta)) (log -1)) into (- (log -1) (log beta))
66.571 * [backup-simplify]: Simplify (+ (* 1/3 (/ -1/3 (pow alpha 3))) (+ (* 0 (/ -1/2 (pow alpha 2))) (+ (* 0 (/ -1 alpha)) (* 0 (- (log -1) (log beta)))))) into (- (* 1/9 (/ 1 (pow alpha 3))))
66.572 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow (- (* 1/3 (/ 1 alpha))) 3) 6)) (* (/ (pow (- (* 1/3 (/ 1 alpha))) 1) 1) (/ (pow (- (* 1/6 (/ 1 (pow alpha 2)))) 1) 1)) (* (/ (pow (- (* 1/9 (/ 1 (pow alpha 3)))) 1) 1)))) into (* -5/81 (/ (exp (* 1/3 (- (log -1) (log beta)))) (pow alpha 3)))
66.572 * [taylor]: Taking taylor expansion of (* -5/81 (/ (exp (* 1/3 (- (log -1) (log beta)))) (pow alpha 3))) in alpha
66.572 * [taylor]: Taking taylor expansion of -5/81 in alpha
66.572 * [backup-simplify]: Simplify -5/81 into -5/81
66.573 * [taylor]: Taking taylor expansion of (/ (exp (* 1/3 (- (log -1) (log beta)))) (pow alpha 3)) in alpha
66.573 * [taylor]: Taking taylor expansion of (exp (* 1/3 (- (log -1) (log beta)))) in alpha
66.573 * [taylor]: Taking taylor expansion of (* 1/3 (- (log -1) (log beta))) in alpha
66.573 * [taylor]: Taking taylor expansion of 1/3 in alpha
66.573 * [backup-simplify]: Simplify 1/3 into 1/3
66.573 * [taylor]: Taking taylor expansion of (- (log -1) (log beta)) in alpha
66.573 * [taylor]: Taking taylor expansion of (log -1) in alpha
66.573 * [taylor]: Taking taylor expansion of -1 in alpha
66.573 * [backup-simplify]: Simplify -1 into -1
66.573 * [backup-simplify]: Simplify (log -1) into (log -1)
66.573 * [taylor]: Taking taylor expansion of (log beta) in alpha
66.573 * [taylor]: Taking taylor expansion of beta in alpha
66.573 * [backup-simplify]: Simplify beta into beta
66.573 * [backup-simplify]: Simplify (log beta) into (log beta)
66.574 * [backup-simplify]: Simplify (- (log beta)) into (- (log beta))
66.574 * [backup-simplify]: Simplify (+ (log -1) (- (log beta))) into (- (log -1) (log beta))
66.575 * [backup-simplify]: Simplify (* 1/3 (- (log -1) (log beta))) into (* 1/3 (- (log -1) (log beta)))
66.575 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log beta)))) into (exp (* 1/3 (- (log -1) (log beta))))
66.575 * [taylor]: Taking taylor expansion of (pow alpha 3) in alpha
66.575 * [taylor]: Taking taylor expansion of alpha in alpha
66.575 * [backup-simplify]: Simplify 0 into 0
66.575 * [backup-simplify]: Simplify 1 into 1
66.576 * [backup-simplify]: Simplify (* 1 1) into 1
66.576 * [backup-simplify]: Simplify (* 1 1) into 1
66.576 * [backup-simplify]: Simplify (/ (exp (* 1/3 (- (log -1) (log beta)))) 1) into (exp (* 1/3 (- (log -1) (log beta))))
66.578 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow -1 1)))) 1) into 0
66.579 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow beta 1)))) 1) into 0
66.579 * [backup-simplify]: Simplify (- 0) into 0
66.580 * [backup-simplify]: Simplify (+ 0 0) into 0
66.580 * [backup-simplify]: Simplify (+ (* 1/3 0) (* 0 (- (log -1) (log beta)))) into 0
66.583 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into 0
66.585 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow beta 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow beta 1)))) 2) into 0
66.586 * [backup-simplify]: Simplify (- 0) into 0
66.586 * [backup-simplify]: Simplify (+ 0 0) into 0
66.587 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (- (log -1) (log beta))))) into 0
66.593 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into 0
66.596 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow beta 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow beta 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow beta 1)))) 6) into 0
66.596 * [backup-simplify]: Simplify (- 0) into 0
66.597 * [backup-simplify]: Simplify (+ 0 0) into 0
66.598 * [backup-simplify]: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log -1) (log beta)))))) into 0
66.600 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0
66.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.603 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.604 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
66.606 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow 0 1) 1)))) into 0
66.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
66.608 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log beta)))) (/ 0 1)))) into 0
66.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
66.610 * [backup-simplify]: Simplify (* (exp (* 1/3 (- (log -1) (log beta)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0
66.612 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log beta)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.615 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/3 (- (log -1) (log beta)))) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
66.616 * [backup-simplify]: Simplify (+ (* -5/81 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 1/3 (- (log -1) (log beta)))))))) into 0
66.616 * [backup-simplify]: Simplify 0 into 0
66.617 * [backup-simplify]: Simplify (exp (* 1/3 (- (log -1) (log (/ 1 (- beta)))))) into (exp (* 1/3 (- (log -1) (log (/ -1 beta)))))
66.617 * * * [progress]: simplifying candidates
66.620 * [simplify]: Simplifying:
  (* (exp (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))))) (exp 1.0))
  (log (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))
  (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))
  (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))
  (* (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))
  (+ (pow (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 3) (pow 1.0 3))
  (+ (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))))) (- (* 1.0 1.0) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))
  (- (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i)))))))) (* 1.0 1.0))
  (- (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)
  (* (exp (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (exp 1.0))
  (log (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))
  (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (* (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (+ (pow (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 3) (pow 1.0 3))
  (+ (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (- (* 1.0 1.0) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))
  (- (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (* 1.0 1.0))
  (- (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)
  (* (exp (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (exp 1.0))
  (log (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (exp (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))
  (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (* (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (sqrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0))
  (+ (pow (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 3) (pow 1.0 3))
  (+ (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (- (* 1.0 1.0) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))
  (- (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (* 1.0 1.0))
  (- (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)
  (log (cbrt (- beta alpha)))
  (exp (cbrt (- beta alpha)))
  (cbrt (* (cbrt (- beta alpha)) (cbrt (- beta alpha))))
  (cbrt (cbrt (- beta alpha)))
  (cbrt (sqrt (- beta alpha)))
  (cbrt (sqrt (- beta alpha)))
  (cbrt 1)
  (cbrt (- beta alpha))
  (cbrt (+ (sqrt beta) (sqrt alpha)))
  (cbrt (- (sqrt beta) (sqrt alpha)))
  (cbrt 1)
  (cbrt (- beta alpha))
  (cbrt (- (pow beta 3) (pow alpha 3)))
  (cbrt (+ (* beta beta) (+ (* alpha alpha) (* beta alpha))))
  (cbrt (- (* beta beta) (* alpha alpha)))
  (cbrt (+ beta alpha))
  (* (cbrt (cbrt (- beta alpha))) (cbrt (cbrt (- beta alpha))))
  (cbrt (cbrt (- beta alpha)))
  (* (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (cbrt (- beta alpha)))
  (sqrt (cbrt (- beta alpha)))
  (sqrt (cbrt (- beta alpha)))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ 1.0 (* 0.25 (pow alpha 2))) (* 0.25 (pow beta 2)))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (+ (* 2.0 (/ 1 alpha)) (* 8.0 (/ 1 (pow alpha 3)))) (* 4.0 (/ 1 (pow alpha 2))))
  (- (exp (* 1/3 (+ (log -1) (log alpha)))) (+ (* 1/9 (* (exp (* 1/3 (- (log -1) (* 5 (log alpha))))) (pow beta 2))) (* 1/3 (* (exp (* 1/3 (- (log -1) (* 2 (log alpha))))) beta))))
  (pow (/ 1 beta) -1/3)
  (exp (* 1/3 (- (log -1) (log (/ -1 beta)))))
66.627 * * [simplify]: iteration 0: 144 enodes
66.700 * * [simplify]: iteration 1: 368 enodes
66.981 * * [simplify]: iteration 2: 1231 enodes
68.056 * * [simplify]: iteration complete: 5005 enodes
68.057 * * [simplify]: Extracting #0: cost 41 inf + 0
68.057 * * [simplify]: Extracting #1: cost 172 inf + 1
68.061 * * [simplify]: Extracting #2: cost 961 inf + 203
68.074 * * [simplify]: Extracting #3: cost 1637 inf + 5461
68.092 * * [simplify]: Extracting #4: cost 1680 inf + 21541
68.115 * * [simplify]: Extracting #5: cost 1589 inf + 39970
68.165 * * [simplify]: Extracting #6: cost 1285 inf + 144301
68.379 * * [simplify]: Extracting #7: cost 648 inf + 550537
68.875 * * [simplify]: Extracting #8: cost 121 inf + 979722
69.516 * * [simplify]: Extracting #9: cost 2 inf + 1054388
70.091 * * [simplify]: Extracting #10: cost 0 inf + 1042896
70.655 * * [simplify]: Extracting #11: cost 0 inf + 1042416
71.229 * [simplify]: Simplified to:
  (exp (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (log (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (exp (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (* (cbrt (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0))))))) (cbrt (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0))))))))
  (cbrt (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (* (* (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))) (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0))))))) (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (sqrt (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (sqrt (+ 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (+ (* 1.0 (* 1.0 1.0)) (* (* (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0))))) (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))) (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (+ (* (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0))))) (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))) (* 1.0 (- 1.0 (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0))))))))
  (- (* (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0))))) (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))) (* 1.0 1.0))
  (- (* (/ (+ alpha beta) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (/ (- beta alpha) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (* (cbrt (+ (+ beta (* i 2.0)) alpha)) (cbrt (+ (+ beta (* i 2.0)) alpha))))) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0))))) 1.0)
  (exp (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (log (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (exp (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (* (cbrt (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0)) (cbrt (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0)))
  (cbrt (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (* (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0) (* (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0) (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0)))
  (sqrt (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (sqrt (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (+ (* 1.0 (* 1.0 1.0)) (* (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (* (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (- (* 1.0 1.0) (* (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (- 1.0 (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (* (- (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0) (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (- (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0)
  (exp (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (log (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (exp (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (* (cbrt (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0)) (cbrt (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0)))
  (cbrt (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (* (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0) (* (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0) (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0)))
  (sqrt (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (sqrt (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (+ (* 1.0 (* 1.0 1.0)) (* (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (* (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (- (* 1.0 1.0) (* (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (- 1.0 (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))))))
  (* (- (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0) (+ (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0))
  (- (/ (* (/ (/ (- beta alpha) (+ (+ beta (* i 2.0)) alpha)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) (+ alpha beta)) (sqrt (+ (* i 2.0) (+ (+ alpha beta) 2.0)))) 1.0)
  (log (cbrt (- beta alpha)))
  (exp (cbrt (- beta alpha)))
  (cbrt (* (cbrt (- beta alpha)) (cbrt (- beta alpha))))
  (cbrt (cbrt (- beta alpha)))
  (cbrt (sqrt (- beta alpha)))
  (cbrt (sqrt (- beta alpha)))
  1
  (cbrt (- beta alpha))
  (cbrt (+ (sqrt beta) (sqrt alpha)))
  (cbrt (- (sqrt beta) (sqrt alpha)))
  1
  (cbrt (- beta alpha))
  (cbrt (- (* (* beta beta) beta) (* alpha (* alpha alpha))))
  (cbrt (+ (* alpha (+ alpha beta)) (* beta beta)))
  (cbrt (* (+ beta alpha) (- beta alpha)))
  (cbrt (+ alpha beta))
  (* (cbrt (cbrt (- beta alpha))) (cbrt (cbrt (- beta alpha))))
  (cbrt (cbrt (- beta alpha)))
  (- beta alpha)
  (sqrt (cbrt (- beta alpha)))
  (sqrt (cbrt (- beta alpha)))
  (+ 1.0 (* 0.25 (- (* alpha alpha) (* beta beta))))
  (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))
  (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))
  (+ 1.0 (* 0.25 (- (* alpha alpha) (* beta beta))))
  (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))
  (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))
  (+ 1.0 (* 0.25 (- (* alpha alpha) (* beta beta))))
  (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))
  (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))
  (- (exp (* (+ (log alpha) (log -1)) 1/3)) (* beta (+ (* 1/3 (exp (* 1/3 (- (log -1) (* (log alpha) 2))))) (* (* 1/9 (exp (* 1/3 (+ (* -5 (log alpha)) (log -1))))) beta))))
  (pow (/ 1 beta) -1/3)
  (exp (* 1/3 (+ 0 (log beta))))
71.270 * * * [progress]: adding candidates to table
72.312 * [progress]: [Phase 3 of 3] Extracting.
72.312 * * [regime]: Finding splitpoints for: (#<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (/ (+ (* (* 1.0 1.0) 1.0) (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (+ (* 1.0 (- 1.0 (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (cbrt (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))))) 2.0))>)
72.371 * * * [regime-changes]: Trying 4 branch expressions: ((* 2.0 i) i beta alpha)
72.371 * * * * [regimes]: Trying to branch on (* 2.0 i) from (#<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (/ (+ (* (* 1.0 1.0) 1.0) (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (+ (* 1.0 (- 1.0 (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (cbrt (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))))) 2.0))>)
72.604 * * * * [regimes]: Trying to branch on (* 2.0 i) from (#<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (cbrt (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))))) 2.0))>)
72.814 * * * * [regimes]: Trying to branch on i from (#<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (/ (+ (* (* 1.0 1.0) 1.0) (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (+ (* 1.0 (- 1.0 (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (cbrt (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))))) 2.0))>)
73.039 * * * * [regimes]: Trying to branch on beta from (#<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (/ (+ (* (* 1.0 1.0) 1.0) (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (+ (* 1.0 (- 1.0 (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (cbrt (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))))) 2.0))>)
73.230 * * * * [regimes]: Trying to branch on alpha from (#<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (/ (+ (* (* 1.0 1.0) 1.0) (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (+ (* 1.0 (- 1.0 (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (cbrt (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))))) 2.0))>)
73.450 * * * [regime]: Found split indices: #<option (#s(si 0 233) #s(si 3 255))>
73.453 * [binary-search]: Improving bounds with binary search for alpha and (#<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (/ (+ (* (* 1.0 1.0) 1.0) (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (+ (* 1.0 (- 1.0 (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (cbrt (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))))) 2.0))>)
73.587 * [regimes]: Found splitpoints: (#s(sp 0 alpha 3.27712724994482e+219) #s(sp 3 alpha +nan.0)) , with alts (#<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (- (/ (/ 8.0 alpha) (* alpha alpha)) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (/ (/ 1 (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (/ (/ (+ alpha beta) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (+ (+ (+ alpha beta) (* 2.0 i)) 2.0) (/ (- beta alpha) (cbrt (+ (+ alpha beta) (* 2.0 i)))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (/ (+ (* (* 1.0 1.0) 1.0) (* (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (+ (* 1.0 (- 1.0 (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))))) (* (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta)))) (* (/ (+ alpha beta) (+ 2.0 (+ (* i 2.0) (+ alpha beta)))) (/ (- beta alpha) (+ (* i 2.0) (+ alpha beta))))))) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (* (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (cbrt (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))))) 1.0)))) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (+ alpha beta) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (/ (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (sqrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (* (/ (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (* (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (cbrt (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (+ (cbrt (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))))))) 1.0) 2.0))> #<alt (λ (alpha beta i) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (* (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0))) (cbrt (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (* (cbrt (- beta alpha)) (cbrt (- beta alpha))) (* (cbrt (+ (+ alpha beta) (* 2.0 i))) (cbrt (+ (+ alpha beta) (* 2.0 i))))) (/ (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)) (/ (cbrt (- beta alpha)) (cbrt (+ (+ alpha beta) (* 2.0 i))))))) 1.0)))))) 2.0))>)
73.588 * [simplify]: Simplifying:
  (if (<= alpha 3.27712724994482e+219) (/ (cbrt (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (* (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0) (+ (* (/ (+ alpha beta) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0))) (/ (/ (- beta alpha) (+ (+ alpha beta) (* 2.0 i))) (sqrt (+ (+ (+ alpha beta) (* 2.0 i)) 2.0)))) 1.0)))) 2.0) (/ (+ (/ 2.0 alpha) (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha)))) 2.0))
73.588 * * [simplify]: iteration 0: 33 enodes
73.591 * * [simplify]: iteration 1: 41 enodes
73.594 * * [simplify]: iteration complete: 41 enodes
73.594 * * [simplify]: Extracting #0: cost 1 inf + 0
73.594 * * [simplify]: Extracting #1: cost 4 inf + 0
73.594 * * [simplify]: Extracting #2: cost 9 inf + 0
73.595 * * [simplify]: Extracting #3: cost 8 inf + 70
73.595 * * [simplify]: Extracting #4: cost 11 inf + 112
73.595 * * [simplify]: Extracting #5: cost 16 inf + 112
73.595 * * [simplify]: Extracting #6: cost 15 inf + 237
73.595 * * [simplify]: Extracting #7: cost 16 inf + 320
73.595 * * [simplify]: Extracting #8: cost 18 inf + 645
73.596 * * [simplify]: Extracting #9: cost 15 inf + 1014
73.596 * * [simplify]: Extracting #10: cost 15 inf + 1338
73.597 * * [simplify]: Extracting #11: cost 10 inf + 1873
73.598 * * [simplify]: Extracting #12: cost 5 inf + 3494
73.599 * * [simplify]: Extracting #13: cost 4 inf + 3979
73.600 * * [simplify]: Extracting #14: cost 2 inf + 5109
73.603 * * [simplify]: Extracting #15: cost 0 inf + 6852
73.605 * [simplify]: Simplified to:
  (if (<= alpha 3.27712724994482e+219) (/ (cbrt (* (+ (* (/ (+ beta alpha) (sqrt (+ (+ (* 2.0 i) (+ beta alpha)) 2.0))) (/ (/ (- beta alpha) (+ (* 2.0 i) (+ beta alpha))) (sqrt (+ (+ (* 2.0 i) (+ beta alpha)) 2.0)))) 1.0) (* (+ (* (/ (+ beta alpha) (sqrt (+ (+ (* 2.0 i) (+ beta alpha)) 2.0))) (/ (/ (- beta alpha) (+ (* 2.0 i) (+ beta alpha))) (sqrt (+ (+ (* 2.0 i) (+ beta alpha)) 2.0)))) 1.0) (+ (* (/ (+ beta alpha) (sqrt (+ (+ (* 2.0 i) (+ beta alpha)) 2.0))) (/ (/ (- beta alpha) (+ (* 2.0 i) (+ beta alpha))) (sqrt (+ (+ (* 2.0 i) (+ beta alpha)) 2.0)))) 1.0)))) 2.0) (/ (+ (- (/ (/ 8.0 (* alpha alpha)) alpha) (/ 4.0 (* alpha alpha))) (/ 2.0 alpha)) 2.0))
79.619 * [regime-testing]: Baseline error score: 12.275675722182626
79.637 * [regime-testing]: Oracle error score: 5.986717381189697
79.671 * [regime-testing]: End program error score: 11.141053418171339